CTET Solved Question Paper - 2 (22 Feb - 2015) | CTET Previous Year Question Papers - CTET & State TET PDF Download

 Page 1


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Which one of the following statements best 
summarizes the relationship between development 
and learning as proposed by Vygotsky?
(1) Development is independent of learning.
(2) Development process lags behind the learning 
process.
(3) Development is synonymous with learning.
(4) Learning and development are parallel process.
2. What is a major criticism of Kohlberg’s theory?
(1) Kohlberg proposed a theory without any 
empirical basis.
(2) Kohlberg proposed that moral reasoning is 
development
(3) Kohlberg did not account for cultural differences 
in moral reasoning of men and women.
(4) Kohlberg did not give clear cut stages of moral 
development.
3. In a learner-centred classroom, the teacher would:
(1) encourage children to compete with each other 
for marks to facilitate learning.
(2) demonstrate what she expects her students to do 
and then gives them guidelines to do the same.
(3) employ such methods in which the learners 
are encouraged to take initiative for their own 
learning.
(4) use lecture method to explain key facts and then 
assess the learners for their attentiveness.
4. According to Gardner’s theory of multiple 
intelligence, the factor that would contribute most 
for being a ‘self-aware‘ individual would be:
(1) Musical (2) Spiritual
(3) Linguistic (4) Intrapersonal
5. A major difference between the perspectives of 
Vygotsky and Piaget pertains to:
(1) their critique of behaviouristic principles
(2) the role of providing a nurturing environment to 
children
(3) their views about language and thought
(4) their conception of children as active constructors 
of knowledge
6. A lot of debate surrounds whether girls and boys 
have specific sets of abilities due to their genetic 
materials. Which one of the following are you most 
likely to agree with in this context?
(1) Girls are socialized to be caring while boys are 
discouraged to show emotions such as crying.
(2) After puberty boys and girls cannot play with each 
other since their interests are complete opposites.
(3) All girls have inherent talent for arts while boys 
are genetically programmed to be better at 
aggressive sports.
(4) Boys cannot be caring since they are born that 
way.
7. A teacher wants to ensure that her students are 
motivated intrinsically. She would:
(1) specify uniform standards of achievement for all 
children.
(2) focus on the processes of learning of individual 
children rather than on the final outcomes.
(3) offer tangible rewards.
(4) plan learning activities which encourage 
convergent thinking.
8. Failure of a child to perform well in class tests leads 
us to believe that:
(1) assessment is objective and can be used to clearly 
identify failures
(2) there is a need to reflect upon the syllabus, 
pedagogy and assessment processes
(3) some children are deemed to fail irrespective of 
how hard the system tries
(4) children are born with certain capabilities and 
deficits
9. There are a few children in your class who make 
errors. Which of these is most likely to be your 
analysis of the situation?
(1) The children have poor intelligence.
(2) The children are not interested in studies and 
want to create indiscipline.
(3) The children should not have been promoted to 
your class.
(4) The children have not yet gained conceptual 
clarity and there is need for you to reflect on 
your pedagogy.
10. A student highlights the main points in a chapter, 
draws a visual representation and poses questions 
that arise in her mind at the end of the chapter. She 
is:
(1) trying to regulate her own thinking by 
organization of ideas
(2) trying to use the strategy of maintenance rehearsal
(3) ensuring observational learning
(4) trying to use method of loci
11. How can a teacher help children become better 
problem solvers?
(1) By giving children a variety of problems to solve 
and support while solving them.
(2) By encouraging children to look for answers to 
the problems in the textbook.
(3) By providing correct solutions to all the problems 
they pose to students.
(4) By giving tangible rewards for solving problems.
CTET SOLVED PAPER S
Paper - 2 (Mathematics	&	Science)
22nd February, 2015
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Which one of the following statements best 
summarizes the relationship between development 
and learning as proposed by Vygotsky?
(1) Development is independent of learning.
(2) Development process lags behind the learning 
process.
(3) Development is synonymous with learning.
(4) Learning and development are parallel process.
2. What is a major criticism of Kohlberg’s theory?
(1) Kohlberg proposed a theory without any 
empirical basis.
(2) Kohlberg proposed that moral reasoning is 
development
(3) Kohlberg did not account for cultural differences 
in moral reasoning of men and women.
(4) Kohlberg did not give clear cut stages of moral 
development.
3. In a learner-centred classroom, the teacher would:
(1) encourage children to compete with each other 
for marks to facilitate learning.
(2) demonstrate what she expects her students to do 
and then gives them guidelines to do the same.
(3) employ such methods in which the learners 
are encouraged to take initiative for their own 
learning.
(4) use lecture method to explain key facts and then 
assess the learners for their attentiveness.
4. According to Gardner’s theory of multiple 
intelligence, the factor that would contribute most 
for being a ‘self-aware‘ individual would be:
(1) Musical (2) Spiritual
(3) Linguistic (4) Intrapersonal
5. A major difference between the perspectives of 
Vygotsky and Piaget pertains to:
(1) their critique of behaviouristic principles
(2) the role of providing a nurturing environment to 
children
(3) their views about language and thought
(4) their conception of children as active constructors 
of knowledge
6. A lot of debate surrounds whether girls and boys 
have specific sets of abilities due to their genetic 
materials. Which one of the following are you most 
likely to agree with in this context?
(1) Girls are socialized to be caring while boys are 
discouraged to show emotions such as crying.
(2) After puberty boys and girls cannot play with each 
other since their interests are complete opposites.
(3) All girls have inherent talent for arts while boys 
are genetically programmed to be better at 
aggressive sports.
(4) Boys cannot be caring since they are born that 
way.
7. A teacher wants to ensure that her students are 
motivated intrinsically. She would:
(1) specify uniform standards of achievement for all 
children.
(2) focus on the processes of learning of individual 
children rather than on the final outcomes.
(3) offer tangible rewards.
(4) plan learning activities which encourage 
convergent thinking.
8. Failure of a child to perform well in class tests leads 
us to believe that:
(1) assessment is objective and can be used to clearly 
identify failures
(2) there is a need to reflect upon the syllabus, 
pedagogy and assessment processes
(3) some children are deemed to fail irrespective of 
how hard the system tries
(4) children are born with certain capabilities and 
deficits
9. There are a few children in your class who make 
errors. Which of these is most likely to be your 
analysis of the situation?
(1) The children have poor intelligence.
(2) The children are not interested in studies and 
want to create indiscipline.
(3) The children should not have been promoted to 
your class.
(4) The children have not yet gained conceptual 
clarity and there is need for you to reflect on 
your pedagogy.
10. A student highlights the main points in a chapter, 
draws a visual representation and poses questions 
that arise in her mind at the end of the chapter. She 
is:
(1) trying to regulate her own thinking by 
organization of ideas
(2) trying to use the strategy of maintenance rehearsal
(3) ensuring observational learning
(4) trying to use method of loci
11. How can a teacher help children become better 
problem solvers?
(1) By giving children a variety of problems to solve 
and support while solving them.
(2) By encouraging children to look for answers to 
the problems in the textbook.
(3) By providing correct solutions to all the problems 
they pose to students.
(4) By giving tangible rewards for solving problems.
CTET SOLVED PAPER S
Paper - 2 (Mathematics	&	Science)
22nd February, 2015
Paper-2: 2015   289
12. In the following statements, which one do you agree 
with?
(1) Learning is completely governed by external 
stimuli.
(2) Learning cannot take place unless it is assessed 
externally in terms of marks.
(3) Learning has taken place only if it is evident in 
behaviour.
(4) Learning takes place in a socio-cultural context.
13. Which one of these is a principle of child 
development?
(1) Development occurs due to interaction between 
maturation and experience.
(2) Experience is the sole determinant of development.
(3) Development is determined by reinforcement 
and punishment.
(4) Development can accurately predict the pace of 
each individual child.
14. In the context of ‘Nature-nature‘ debate, which one 
of the following statements seems appropriate to 
you?
(1) A child is like a blank slate whose character can 
be moulded by the environment into any shape.
(2) Environmental influences only have a little 
value in shaping up a child’s behaviour which is 
primarily genetically determined.
(3) Heredity and environment are inseparably 
interwoven and both influence development.
(4) Children are genetically predisposed to what 
they would be like irrespective of whatever 
environment they grow up in.
15. Socialization is a process of:
(1) acquiring values, beliefs and expectations
(2) assimilation and accommodation
(3) learning to critique the culture of a society
(4) socializing with friends
16. Piaget proposes that pre-operational children are 
unable to conserve. He attributes this inability to 
which one of the following factors?
(1) Inability of hypothetico-deductive reasoning.
(2) Personal fable.
(3) Irreversibility of thought.
(4) Lack of high-level abstract reasoning.
17. According to Paiget’s theory, children learn by:
(1) memorizing information by paying due attention
(2) scaffolding provided by more able members of 
the society
(3) processes of adaptation
(4) changing their behaviour when offered 
appropriate rewards
18. According to V ygotsky , zone of proximal development 
is:
(1) zone demarking the support offered by the 
teacher
(2) the gap between what the child can do 
independently and with assistance
(3)  the amount and nature of support provided to 
the child to achieve her potential
(4) what the child can do on her own which cannot 
be assessed
19. A teacher in a multi-cultural classroom would ensure 
that the assessment considers the following:
(1) Reliability and validity of her assessment tool.
(2) Expectations of the school administration by 
complying with the minimum levels of learning.
(3) Standardization of the assessment tool.
(4) Socio-cultural context of her students.
20. An upper primary school constructivist classroom 
would foresee the following role of students in their 
own assessment:
(1) Make detailed guidelines for how marks would 
be correlated to students achievement and 
prestige in class.
(2) Students would be the sole determinants of their 
own assessment.
(3) Students would plan for assessment with the 
teacher.
(4) Denying that assessment has a role in teaching 
learning.
21. The rationale behind inclusive education is that:
(1) society is heterogeneous and schools need to be 
inclusive to cater to heterogeneous society
(2) we need to take pity on special children and 
provide them access to facilities
(3) it is not cost-effective to provide for separate 
schools for special children
(4) the benchmarks for performance of each child 
should be uniform and standardized
22. Which one of the following would be the most 
effective way to identify a creative child by the 
teacher?
(1) Observing how the child interacts with peers in 
team tasks.
(2) Administering standardized intelligence tests.
(3) Giving objective type tests.
(4) Detailed observation of the child especially 
when she solves problems.
23. A teacher can effectively respond to the needs of 
children from ‘disadvantaged sections‘ of society by:
(1) telling the ‘other children‘ to co-operate with the 
‘disadvantaged children‘ and help them learn 
the ways of the school
(2) reflecting on the school system and herself about 
various ways in which biases and stereotypes 
surface
(3) ensuring that the children do not get a chance to 
interact with each other to minimize the chances 
of their being bullied
(4) sensitizing the disadvantaged children to the 
norms and structures of schools so that they can 
comply with those
24. Research has pointed out that several levels of 
discrimination exist in the schools. Which of these is 
not an example of discrimination at upper primary 
level?
(1) Many teachers use only lecture method to teach.
(2) Dalit children are made to sit separately during 
mid-day meals.
(3) Girls are not encouraged to take up maths and 
science.
(4) Teachers have low expectations of children from 
lower socio-economic strata.
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Which one of the following statements best 
summarizes the relationship between development 
and learning as proposed by Vygotsky?
(1) Development is independent of learning.
(2) Development process lags behind the learning 
process.
(3) Development is synonymous with learning.
(4) Learning and development are parallel process.
2. What is a major criticism of Kohlberg’s theory?
(1) Kohlberg proposed a theory without any 
empirical basis.
(2) Kohlberg proposed that moral reasoning is 
development
(3) Kohlberg did not account for cultural differences 
in moral reasoning of men and women.
(4) Kohlberg did not give clear cut stages of moral 
development.
3. In a learner-centred classroom, the teacher would:
(1) encourage children to compete with each other 
for marks to facilitate learning.
(2) demonstrate what she expects her students to do 
and then gives them guidelines to do the same.
(3) employ such methods in which the learners 
are encouraged to take initiative for their own 
learning.
(4) use lecture method to explain key facts and then 
assess the learners for their attentiveness.
4. According to Gardner’s theory of multiple 
intelligence, the factor that would contribute most 
for being a ‘self-aware‘ individual would be:
(1) Musical (2) Spiritual
(3) Linguistic (4) Intrapersonal
5. A major difference between the perspectives of 
Vygotsky and Piaget pertains to:
(1) their critique of behaviouristic principles
(2) the role of providing a nurturing environment to 
children
(3) their views about language and thought
(4) their conception of children as active constructors 
of knowledge
6. A lot of debate surrounds whether girls and boys 
have specific sets of abilities due to their genetic 
materials. Which one of the following are you most 
likely to agree with in this context?
(1) Girls are socialized to be caring while boys are 
discouraged to show emotions such as crying.
(2) After puberty boys and girls cannot play with each 
other since their interests are complete opposites.
(3) All girls have inherent talent for arts while boys 
are genetically programmed to be better at 
aggressive sports.
(4) Boys cannot be caring since they are born that 
way.
7. A teacher wants to ensure that her students are 
motivated intrinsically. She would:
(1) specify uniform standards of achievement for all 
children.
(2) focus on the processes of learning of individual 
children rather than on the final outcomes.
(3) offer tangible rewards.
(4) plan learning activities which encourage 
convergent thinking.
8. Failure of a child to perform well in class tests leads 
us to believe that:
(1) assessment is objective and can be used to clearly 
identify failures
(2) there is a need to reflect upon the syllabus, 
pedagogy and assessment processes
(3) some children are deemed to fail irrespective of 
how hard the system tries
(4) children are born with certain capabilities and 
deficits
9. There are a few children in your class who make 
errors. Which of these is most likely to be your 
analysis of the situation?
(1) The children have poor intelligence.
(2) The children are not interested in studies and 
want to create indiscipline.
(3) The children should not have been promoted to 
your class.
(4) The children have not yet gained conceptual 
clarity and there is need for you to reflect on 
your pedagogy.
10. A student highlights the main points in a chapter, 
draws a visual representation and poses questions 
that arise in her mind at the end of the chapter. She 
is:
(1) trying to regulate her own thinking by 
organization of ideas
(2) trying to use the strategy of maintenance rehearsal
(3) ensuring observational learning
(4) trying to use method of loci
11. How can a teacher help children become better 
problem solvers?
(1) By giving children a variety of problems to solve 
and support while solving them.
(2) By encouraging children to look for answers to 
the problems in the textbook.
(3) By providing correct solutions to all the problems 
they pose to students.
(4) By giving tangible rewards for solving problems.
CTET SOLVED PAPER S
Paper - 2 (Mathematics	&	Science)
22nd February, 2015
Paper-2: 2015   289
12. In the following statements, which one do you agree 
with?
(1) Learning is completely governed by external 
stimuli.
(2) Learning cannot take place unless it is assessed 
externally in terms of marks.
(3) Learning has taken place only if it is evident in 
behaviour.
(4) Learning takes place in a socio-cultural context.
13. Which one of these is a principle of child 
development?
(1) Development occurs due to interaction between 
maturation and experience.
(2) Experience is the sole determinant of development.
(3) Development is determined by reinforcement 
and punishment.
(4) Development can accurately predict the pace of 
each individual child.
14. In the context of ‘Nature-nature‘ debate, which one 
of the following statements seems appropriate to 
you?
(1) A child is like a blank slate whose character can 
be moulded by the environment into any shape.
(2) Environmental influences only have a little 
value in shaping up a child’s behaviour which is 
primarily genetically determined.
(3) Heredity and environment are inseparably 
interwoven and both influence development.
(4) Children are genetically predisposed to what 
they would be like irrespective of whatever 
environment they grow up in.
15. Socialization is a process of:
(1) acquiring values, beliefs and expectations
(2) assimilation and accommodation
(3) learning to critique the culture of a society
(4) socializing with friends
16. Piaget proposes that pre-operational children are 
unable to conserve. He attributes this inability to 
which one of the following factors?
(1) Inability of hypothetico-deductive reasoning.
(2) Personal fable.
(3) Irreversibility of thought.
(4) Lack of high-level abstract reasoning.
17. According to Paiget’s theory, children learn by:
(1) memorizing information by paying due attention
(2) scaffolding provided by more able members of 
the society
(3) processes of adaptation
(4) changing their behaviour when offered 
appropriate rewards
18. According to V ygotsky , zone of proximal development 
is:
(1) zone demarking the support offered by the 
teacher
(2) the gap between what the child can do 
independently and with assistance
(3)  the amount and nature of support provided to 
the child to achieve her potential
(4) what the child can do on her own which cannot 
be assessed
19. A teacher in a multi-cultural classroom would ensure 
that the assessment considers the following:
(1) Reliability and validity of her assessment tool.
(2) Expectations of the school administration by 
complying with the minimum levels of learning.
(3) Standardization of the assessment tool.
(4) Socio-cultural context of her students.
20. An upper primary school constructivist classroom 
would foresee the following role of students in their 
own assessment:
(1) Make detailed guidelines for how marks would 
be correlated to students achievement and 
prestige in class.
(2) Students would be the sole determinants of their 
own assessment.
(3) Students would plan for assessment with the 
teacher.
(4) Denying that assessment has a role in teaching 
learning.
21. The rationale behind inclusive education is that:
(1) society is heterogeneous and schools need to be 
inclusive to cater to heterogeneous society
(2) we need to take pity on special children and 
provide them access to facilities
(3) it is not cost-effective to provide for separate 
schools for special children
(4) the benchmarks for performance of each child 
should be uniform and standardized
22. Which one of the following would be the most 
effective way to identify a creative child by the 
teacher?
(1) Observing how the child interacts with peers in 
team tasks.
(2) Administering standardized intelligence tests.
(3) Giving objective type tests.
(4) Detailed observation of the child especially 
when she solves problems.
23. A teacher can effectively respond to the needs of 
children from ‘disadvantaged sections‘ of society by:
(1) telling the ‘other children‘ to co-operate with the 
‘disadvantaged children‘ and help them learn 
the ways of the school
(2) reflecting on the school system and herself about 
various ways in which biases and stereotypes 
surface
(3) ensuring that the children do not get a chance to 
interact with each other to minimize the chances 
of their being bullied
(4) sensitizing the disadvantaged children to the 
norms and structures of schools so that they can 
comply with those
24. Research has pointed out that several levels of 
discrimination exist in the schools. Which of these is 
not an example of discrimination at upper primary 
level?
(1) Many teachers use only lecture method to teach.
(2) Dalit children are made to sit separately during 
mid-day meals.
(3) Girls are not encouraged to take up maths and 
science.
(4) Teachers have low expectations of children from 
lower socio-economic strata.
  
25. Which of these is a characteristic of a child with 
learning disability?
(1) An IQ below 50.
(2) Bullying other children and engaging in 
aggressive acts.
(3) Doing the same motor action repeatedly.
(4) Difficulty in reading fluently and reversing 
words.
26. Which one of the following statements best describes 
why children should be encouraged to ask question 
in the class?
(1) Questions increase the curiosity of the children.
(2) Questions take learning forward by interactions 
and lead to conceptual clarity.
(3) Children need to practise their language skills.
(4) Children can be made to realize that they lack 
intelligence by making them think of all the 
things they don’t know about.
27. Which one of the following assessment practices will 
bring out the best in students?
(1) When students are required to reproduce facts 
as tested via multiple choice questions.
(2) When conceptual change and students' 
alternative solutions are assessed through 
several different methods of assessment.
(3) When the marks obtained and the position 
secured by the student in the class are the 
ultimate determinants of success.
(4) When the emphasis is laid upon positive correlation 
between test scores and student ability.
28. The amount and type of scaffolding to a child would 
change depending on the:
(1) mood of the teacher
(2) rewards offered for the task
(3) level of the child’s performance
(4) child’s innate abilities
29. As an upper primary school mathematics teacher 
you believe that:
(1) students' errors provide insights into their 
thinking
(2) not all children have the ability to study 
mathematics in upper primary school
(3) boys will learn mathematics without much effort 
since they are ‘born with it‘ and you need to pay 
more attention to girls
(4) students need to possess procedural knowledge 
even if they don’t understand conceptual basis
30. Which one of these statements do you agree with?
(1) A child fails because the government is not giving 
enough technological resources in schools.
(2) A child’s failure can be attributed directly to the 
genetic material he/she has acquired from his/
her parents.
(3) A child’s failure is a reflection on the system and 
its inability to respond to the child.
(4) A child’s failure is primarily due to lack of 
parent’s education and economic status.
Mathematics and Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  Place of mathematics education in the curricular 
framework is positioned on twin concerns :
(1) What mathematics education can do to improve 
the score of students in summative examination 
and how it can help to choose right stream in 
higher classes 
(2) What mathematics education can do to improve 
communication skills of every child and how it 
can make them employable after school
(3) What mathematics education can do to engage 
the mind of every student and how it can 
strengthen the student’s resources.
(4) What mathematics can do to retain every child 
in school and how it can help them to be self-
dependent
32. LCM of 22, 54, 135 and 198 is:
(1) 2
2
 × 3
3
 × 5 × 11 (2) 2 × 3
3
 × 5 × 11
(3) 2
2
 × 3
3
 × 5 × 11 (4) 2
3
 × 3
2
 × 5 × 11
33. In class VI, in the unit of ‘Understanding 
Quadrilaterals’, important results related to angle-
sum property of quadrilaterals are introduced using 
paper folding activity followed by the exercise based 
on these properties.
 At this level proof of the angle property is not given, 
as the students of class VI are at Van Hiele level of:
(1) Level 2—Informal Deduction 
(2) Level 3—Deduction
(3) Level 0—Visualization 
(4) Level 1—Analysis
34. The term, ‘Mathematical tools’ refers to:
(1) Calculators, rulers, tape measures, protractors, 
compass, etc.
(2) All types of materials including language, written 
symbols, meaningful instructions to establish 
their purpose
(3) Physical material like geo-board and 3D models, 
cubic rods, etc.
(4) Charts based on formulae and concepts graph 
papers, dotted sheets, etc.
35. Four stages of language development in mathematics  
classroom in order are:
(1) Everyday language ? Mathematized situation 
language ? Language of Mathematics problem 
solving ? Symbolic language
(2) Everyday language ? Language of Mathematics 
problem solving ? Mathematized situation 
language ? Symbolic language
(3) Everyday language ? Language of Mathematics 
problem solving ? Symbolic language ? 
Mathematized situation language
(4) Everyday language ? Symbolic language ? 
Language of Mathematics problem solving ? 
Mathematized situation language
36. A learner exhibiting difficulty in sorting, recognizing 
patterns, orienting numbers and shapes, telling 
time and measurement  may have dyscalculia with 
difficulty in:
(1) language processing
(2) visual-motor coordination
(3) visual-spatial skills
(4) visual-memory
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Which one of the following statements best 
summarizes the relationship between development 
and learning as proposed by Vygotsky?
(1) Development is independent of learning.
(2) Development process lags behind the learning 
process.
(3) Development is synonymous with learning.
(4) Learning and development are parallel process.
2. What is a major criticism of Kohlberg’s theory?
(1) Kohlberg proposed a theory without any 
empirical basis.
(2) Kohlberg proposed that moral reasoning is 
development
(3) Kohlberg did not account for cultural differences 
in moral reasoning of men and women.
(4) Kohlberg did not give clear cut stages of moral 
development.
3. In a learner-centred classroom, the teacher would:
(1) encourage children to compete with each other 
for marks to facilitate learning.
(2) demonstrate what she expects her students to do 
and then gives them guidelines to do the same.
(3) employ such methods in which the learners 
are encouraged to take initiative for their own 
learning.
(4) use lecture method to explain key facts and then 
assess the learners for their attentiveness.
4. According to Gardner’s theory of multiple 
intelligence, the factor that would contribute most 
for being a ‘self-aware‘ individual would be:
(1) Musical (2) Spiritual
(3) Linguistic (4) Intrapersonal
5. A major difference between the perspectives of 
Vygotsky and Piaget pertains to:
(1) their critique of behaviouristic principles
(2) the role of providing a nurturing environment to 
children
(3) their views about language and thought
(4) their conception of children as active constructors 
of knowledge
6. A lot of debate surrounds whether girls and boys 
have specific sets of abilities due to their genetic 
materials. Which one of the following are you most 
likely to agree with in this context?
(1) Girls are socialized to be caring while boys are 
discouraged to show emotions such as crying.
(2) After puberty boys and girls cannot play with each 
other since their interests are complete opposites.
(3) All girls have inherent talent for arts while boys 
are genetically programmed to be better at 
aggressive sports.
(4) Boys cannot be caring since they are born that 
way.
7. A teacher wants to ensure that her students are 
motivated intrinsically. She would:
(1) specify uniform standards of achievement for all 
children.
(2) focus on the processes of learning of individual 
children rather than on the final outcomes.
(3) offer tangible rewards.
(4) plan learning activities which encourage 
convergent thinking.
8. Failure of a child to perform well in class tests leads 
us to believe that:
(1) assessment is objective and can be used to clearly 
identify failures
(2) there is a need to reflect upon the syllabus, 
pedagogy and assessment processes
(3) some children are deemed to fail irrespective of 
how hard the system tries
(4) children are born with certain capabilities and 
deficits
9. There are a few children in your class who make 
errors. Which of these is most likely to be your 
analysis of the situation?
(1) The children have poor intelligence.
(2) The children are not interested in studies and 
want to create indiscipline.
(3) The children should not have been promoted to 
your class.
(4) The children have not yet gained conceptual 
clarity and there is need for you to reflect on 
your pedagogy.
10. A student highlights the main points in a chapter, 
draws a visual representation and poses questions 
that arise in her mind at the end of the chapter. She 
is:
(1) trying to regulate her own thinking by 
organization of ideas
(2) trying to use the strategy of maintenance rehearsal
(3) ensuring observational learning
(4) trying to use method of loci
11. How can a teacher help children become better 
problem solvers?
(1) By giving children a variety of problems to solve 
and support while solving them.
(2) By encouraging children to look for answers to 
the problems in the textbook.
(3) By providing correct solutions to all the problems 
they pose to students.
(4) By giving tangible rewards for solving problems.
CTET SOLVED PAPER S
Paper - 2 (Mathematics	&	Science)
22nd February, 2015
Paper-2: 2015   289
12. In the following statements, which one do you agree 
with?
(1) Learning is completely governed by external 
stimuli.
(2) Learning cannot take place unless it is assessed 
externally in terms of marks.
(3) Learning has taken place only if it is evident in 
behaviour.
(4) Learning takes place in a socio-cultural context.
13. Which one of these is a principle of child 
development?
(1) Development occurs due to interaction between 
maturation and experience.
(2) Experience is the sole determinant of development.
(3) Development is determined by reinforcement 
and punishment.
(4) Development can accurately predict the pace of 
each individual child.
14. In the context of ‘Nature-nature‘ debate, which one 
of the following statements seems appropriate to 
you?
(1) A child is like a blank slate whose character can 
be moulded by the environment into any shape.
(2) Environmental influences only have a little 
value in shaping up a child’s behaviour which is 
primarily genetically determined.
(3) Heredity and environment are inseparably 
interwoven and both influence development.
(4) Children are genetically predisposed to what 
they would be like irrespective of whatever 
environment they grow up in.
15. Socialization is a process of:
(1) acquiring values, beliefs and expectations
(2) assimilation and accommodation
(3) learning to critique the culture of a society
(4) socializing with friends
16. Piaget proposes that pre-operational children are 
unable to conserve. He attributes this inability to 
which one of the following factors?
(1) Inability of hypothetico-deductive reasoning.
(2) Personal fable.
(3) Irreversibility of thought.
(4) Lack of high-level abstract reasoning.
17. According to Paiget’s theory, children learn by:
(1) memorizing information by paying due attention
(2) scaffolding provided by more able members of 
the society
(3) processes of adaptation
(4) changing their behaviour when offered 
appropriate rewards
18. According to V ygotsky , zone of proximal development 
is:
(1) zone demarking the support offered by the 
teacher
(2) the gap between what the child can do 
independently and with assistance
(3)  the amount and nature of support provided to 
the child to achieve her potential
(4) what the child can do on her own which cannot 
be assessed
19. A teacher in a multi-cultural classroom would ensure 
that the assessment considers the following:
(1) Reliability and validity of her assessment tool.
(2) Expectations of the school administration by 
complying with the minimum levels of learning.
(3) Standardization of the assessment tool.
(4) Socio-cultural context of her students.
20. An upper primary school constructivist classroom 
would foresee the following role of students in their 
own assessment:
(1) Make detailed guidelines for how marks would 
be correlated to students achievement and 
prestige in class.
(2) Students would be the sole determinants of their 
own assessment.
(3) Students would plan for assessment with the 
teacher.
(4) Denying that assessment has a role in teaching 
learning.
21. The rationale behind inclusive education is that:
(1) society is heterogeneous and schools need to be 
inclusive to cater to heterogeneous society
(2) we need to take pity on special children and 
provide them access to facilities
(3) it is not cost-effective to provide for separate 
schools for special children
(4) the benchmarks for performance of each child 
should be uniform and standardized
22. Which one of the following would be the most 
effective way to identify a creative child by the 
teacher?
(1) Observing how the child interacts with peers in 
team tasks.
(2) Administering standardized intelligence tests.
(3) Giving objective type tests.
(4) Detailed observation of the child especially 
when she solves problems.
23. A teacher can effectively respond to the needs of 
children from ‘disadvantaged sections‘ of society by:
(1) telling the ‘other children‘ to co-operate with the 
‘disadvantaged children‘ and help them learn 
the ways of the school
(2) reflecting on the school system and herself about 
various ways in which biases and stereotypes 
surface
(3) ensuring that the children do not get a chance to 
interact with each other to minimize the chances 
of their being bullied
(4) sensitizing the disadvantaged children to the 
norms and structures of schools so that they can 
comply with those
24. Research has pointed out that several levels of 
discrimination exist in the schools. Which of these is 
not an example of discrimination at upper primary 
level?
(1) Many teachers use only lecture method to teach.
(2) Dalit children are made to sit separately during 
mid-day meals.
(3) Girls are not encouraged to take up maths and 
science.
(4) Teachers have low expectations of children from 
lower socio-economic strata.
  
25. Which of these is a characteristic of a child with 
learning disability?
(1) An IQ below 50.
(2) Bullying other children and engaging in 
aggressive acts.
(3) Doing the same motor action repeatedly.
(4) Difficulty in reading fluently and reversing 
words.
26. Which one of the following statements best describes 
why children should be encouraged to ask question 
in the class?
(1) Questions increase the curiosity of the children.
(2) Questions take learning forward by interactions 
and lead to conceptual clarity.
(3) Children need to practise their language skills.
(4) Children can be made to realize that they lack 
intelligence by making them think of all the 
things they don’t know about.
27. Which one of the following assessment practices will 
bring out the best in students?
(1) When students are required to reproduce facts 
as tested via multiple choice questions.
(2) When conceptual change and students' 
alternative solutions are assessed through 
several different methods of assessment.
(3) When the marks obtained and the position 
secured by the student in the class are the 
ultimate determinants of success.
(4) When the emphasis is laid upon positive correlation 
between test scores and student ability.
28. The amount and type of scaffolding to a child would 
change depending on the:
(1) mood of the teacher
(2) rewards offered for the task
(3) level of the child’s performance
(4) child’s innate abilities
29. As an upper primary school mathematics teacher 
you believe that:
(1) students' errors provide insights into their 
thinking
(2) not all children have the ability to study 
mathematics in upper primary school
(3) boys will learn mathematics without much effort 
since they are ‘born with it‘ and you need to pay 
more attention to girls
(4) students need to possess procedural knowledge 
even if they don’t understand conceptual basis
30. Which one of these statements do you agree with?
(1) A child fails because the government is not giving 
enough technological resources in schools.
(2) A child’s failure can be attributed directly to the 
genetic material he/she has acquired from his/
her parents.
(3) A child’s failure is a reflection on the system and 
its inability to respond to the child.
(4) A child’s failure is primarily due to lack of 
parent’s education and economic status.
Mathematics and Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  Place of mathematics education in the curricular 
framework is positioned on twin concerns :
(1) What mathematics education can do to improve 
the score of students in summative examination 
and how it can help to choose right stream in 
higher classes 
(2) What mathematics education can do to improve 
communication skills of every child and how it 
can make them employable after school
(3) What mathematics education can do to engage 
the mind of every student and how it can 
strengthen the student’s resources.
(4) What mathematics can do to retain every child 
in school and how it can help them to be self-
dependent
32. LCM of 22, 54, 135 and 198 is:
(1) 2
2
 × 3
3
 × 5 × 11 (2) 2 × 3
3
 × 5 × 11
(3) 2
2
 × 3
3
 × 5 × 11 (4) 2
3
 × 3
2
 × 5 × 11
33. In class VI, in the unit of ‘Understanding 
Quadrilaterals’, important results related to angle-
sum property of quadrilaterals are introduced using 
paper folding activity followed by the exercise based 
on these properties.
 At this level proof of the angle property is not given, 
as the students of class VI are at Van Hiele level of:
(1) Level 2—Informal Deduction 
(2) Level 3—Deduction
(3) Level 0—Visualization 
(4) Level 1—Analysis
34. The term, ‘Mathematical tools’ refers to:
(1) Calculators, rulers, tape measures, protractors, 
compass, etc.
(2) All types of materials including language, written 
symbols, meaningful instructions to establish 
their purpose
(3) Physical material like geo-board and 3D models, 
cubic rods, etc.
(4) Charts based on formulae and concepts graph 
papers, dotted sheets, etc.
35. Four stages of language development in mathematics  
classroom in order are:
(1) Everyday language ? Mathematized situation 
language ? Language of Mathematics problem 
solving ? Symbolic language
(2) Everyday language ? Language of Mathematics 
problem solving ? Mathematized situation 
language ? Symbolic language
(3) Everyday language ? Language of Mathematics 
problem solving ? Symbolic language ? 
Mathematized situation language
(4) Everyday language ? Symbolic language ? 
Language of Mathematics problem solving ? 
Mathematized situation language
36. A learner exhibiting difficulty in sorting, recognizing 
patterns, orienting numbers and shapes, telling 
time and measurement  may have dyscalculia with 
difficulty in:
(1) language processing
(2) visual-motor coordination
(3) visual-spatial skills
(4) visual-memory
  
37. CBSE announced the celebration of ‘GANIT Week’ 
in schools to commemorate the birth anniversary of 
the legendary mathematician, Srinivasa Ramanujan. 
GANIT stands for:
(1) Growing Ability in Numerical Innovations and 
T echniques
(2) Growing Ability in Numerical Innovations and 
T raining
(3) Growing Aptitude in Numerical Innovations 
and Techniques
(4) Growing Aptitude in Numerical Innovations 
and Training
38. Learning mathematics at upper primary level is 
about:
(1) gaining understanding of mathematical concepts 
and their applications in solving problems 
logically.
(2) learning lots of new formulae and algorithms.
(3) remembering solutions or methods of various 
types of mathematical problems.
(4) learning problem solving techniques only.
39. Read the following question from class VI textbook:
 “Write a pair of integers whose sum gives a negative 
integer.”
 The above question refers to:
(1) Reflective question
(2) Multi-disciplinary question
(3) Open-ended question
(4) Closed-ended question
40. The product of integers between –7 and –3 is:
(1) 120 (2) – 120
(3) 840 (4) – 360
41. Which one of the following statements is correct?
(1) Sum of two prime numbers is always a prime 
number. 
(2) A composite number can be odd.
(3) There is no even prime number. 
(4) ‘1’ is the smallest prime number.
42. In geometry of VI grade students, the teacher 
explained the construction of angles measuring 
30°, 60° and 90° with the help of demonstration of 
construction and bisector of an angle. Then she 
asked the students to construct an angle of 15° and 
45°.
 This task at this point reflects the teacher’s intention 
to:
(1) assess the learner’s performance in summative 
assessment.
(2) assess the student’s understanding and ability 
to combine two skills learnt, to accomplish the 
given task.
(3) engage every student in some work.
(4) give the exposure of experiential learning.
43. The value of
 
11 11 111 111
1
10 100 1000 10000
++ + +
 
is:
(1) 3.3221 (2) 2.3321
(3) 2.245 (4) 2.432
44. The mean of range, mode and median of the data
 4, 3, 2, 2, 7, 2, 2, 0 3, 4, 4 is:
(1) 4 (2) 5
(3) 2 (4) 3
45. The sum of all interior angles of a regular convex 
polygon is 1080°. The measure of each of its interior 
angles is:
(1) 108° (2) 72°
(3) 120° (4) 135°
46. In a quadrilateral ABCD, ?D = 60° and ?C = 100°. 
The bisectors of ?A and ?B meet at the point P . The 
measure of ?APB is:
(1) 80°
 
(2) 100°
(3) 60° (4) 70°
47. In D DEF and D PQR, if PQ= DE, EF = PR and FD 
= QR, then 
(1) D DEF ? D RPQ (2) D DEF ? D QRP
(3) D DEF ? D PQR (4) D DEF ? D QPR
48. The perimeter of a trapezium is 104 cm, the lengths 
of its non-parallel sides are 18 cm and 22 cm and its 
altitude is 16 cm. The area (in cm
2
) of the trapezium 
is:
(1) 1024 (2) 512
(3) 320 (4) 640
49. If each edge of a solid cube is increased by 150%, the 
percentage increase in the surface area is:
(1) 525 (2) 625
(3) 150 (4) 225
50. The radii of the bases of two cylinders are in the 
ratio of 2 : 3 and their heights are in the ratio of 5 : 3. 
The ratio of their volumes is:
(1) 7 : 6 (2) 4 : 9
(3) 20 : 27 (4) 10 : 9
51. One of the factors of
 4x
2
 + y
2
 + 14x – 7y – 4xy + 12
 is :
(1) 2x + y + 4 (2) 2x + y – 4
(3) 2x – y + 3 (4) 2x – y – 3
52. What should be subtracted from 
-5
7
 
to get
 
-2
3
?
(1) 
29
21
 
(2)
 
-29
21
(3)
 
1
21
 
(4)
 
-1
21
53. In standard from, 0.00001278 is expressed as k × 10
n
. 
The value of (k + n) is:
(1) 3.278 (2) – 3.722
(3) 4.722 (4) – 3.278
54. The least number which must be added to 893304 to 
obtain a perfect square is:
(1) 1521 (2) 1612
(3) 945 (4) 1042
55. The value of -- 91125 512
33
 is:
(1) – 53 (2) 73
(3) – 37 (4) 42
56. The values of y for which the 4-digit number 51y3 is 
divisible by 9 is: 
(1) 2 or 3 (2) 0 or 3
(3) 3 or 9 (4) 0 or 9
57. In the product (x
2
 – 2) (1 – 3x + 2x
2
) the sum of 
coefficients of x
2
 and x is:
(1) 5 (2) 6
(3) 2 (4) 3
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Which one of the following statements best 
summarizes the relationship between development 
and learning as proposed by Vygotsky?
(1) Development is independent of learning.
(2) Development process lags behind the learning 
process.
(3) Development is synonymous with learning.
(4) Learning and development are parallel process.
2. What is a major criticism of Kohlberg’s theory?
(1) Kohlberg proposed a theory without any 
empirical basis.
(2) Kohlberg proposed that moral reasoning is 
development
(3) Kohlberg did not account for cultural differences 
in moral reasoning of men and women.
(4) Kohlberg did not give clear cut stages of moral 
development.
3. In a learner-centred classroom, the teacher would:
(1) encourage children to compete with each other 
for marks to facilitate learning.
(2) demonstrate what she expects her students to do 
and then gives them guidelines to do the same.
(3) employ such methods in which the learners 
are encouraged to take initiative for their own 
learning.
(4) use lecture method to explain key facts and then 
assess the learners for their attentiveness.
4. According to Gardner’s theory of multiple 
intelligence, the factor that would contribute most 
for being a ‘self-aware‘ individual would be:
(1) Musical (2) Spiritual
(3) Linguistic (4) Intrapersonal
5. A major difference between the perspectives of 
Vygotsky and Piaget pertains to:
(1) their critique of behaviouristic principles
(2) the role of providing a nurturing environment to 
children
(3) their views about language and thought
(4) their conception of children as active constructors 
of knowledge
6. A lot of debate surrounds whether girls and boys 
have specific sets of abilities due to their genetic 
materials. Which one of the following are you most 
likely to agree with in this context?
(1) Girls are socialized to be caring while boys are 
discouraged to show emotions such as crying.
(2) After puberty boys and girls cannot play with each 
other since their interests are complete opposites.
(3) All girls have inherent talent for arts while boys 
are genetically programmed to be better at 
aggressive sports.
(4) Boys cannot be caring since they are born that 
way.
7. A teacher wants to ensure that her students are 
motivated intrinsically. She would:
(1) specify uniform standards of achievement for all 
children.
(2) focus on the processes of learning of individual 
children rather than on the final outcomes.
(3) offer tangible rewards.
(4) plan learning activities which encourage 
convergent thinking.
8. Failure of a child to perform well in class tests leads 
us to believe that:
(1) assessment is objective and can be used to clearly 
identify failures
(2) there is a need to reflect upon the syllabus, 
pedagogy and assessment processes
(3) some children are deemed to fail irrespective of 
how hard the system tries
(4) children are born with certain capabilities and 
deficits
9. There are a few children in your class who make 
errors. Which of these is most likely to be your 
analysis of the situation?
(1) The children have poor intelligence.
(2) The children are not interested in studies and 
want to create indiscipline.
(3) The children should not have been promoted to 
your class.
(4) The children have not yet gained conceptual 
clarity and there is need for you to reflect on 
your pedagogy.
10. A student highlights the main points in a chapter, 
draws a visual representation and poses questions 
that arise in her mind at the end of the chapter. She 
is:
(1) trying to regulate her own thinking by 
organization of ideas
(2) trying to use the strategy of maintenance rehearsal
(3) ensuring observational learning
(4) trying to use method of loci
11. How can a teacher help children become better 
problem solvers?
(1) By giving children a variety of problems to solve 
and support while solving them.
(2) By encouraging children to look for answers to 
the problems in the textbook.
(3) By providing correct solutions to all the problems 
they pose to students.
(4) By giving tangible rewards for solving problems.
CTET SOLVED PAPER S
Paper - 2 (Mathematics	&	Science)
22nd February, 2015
Paper-2: 2015   289
12. In the following statements, which one do you agree 
with?
(1) Learning is completely governed by external 
stimuli.
(2) Learning cannot take place unless it is assessed 
externally in terms of marks.
(3) Learning has taken place only if it is evident in 
behaviour.
(4) Learning takes place in a socio-cultural context.
13. Which one of these is a principle of child 
development?
(1) Development occurs due to interaction between 
maturation and experience.
(2) Experience is the sole determinant of development.
(3) Development is determined by reinforcement 
and punishment.
(4) Development can accurately predict the pace of 
each individual child.
14. In the context of ‘Nature-nature‘ debate, which one 
of the following statements seems appropriate to 
you?
(1) A child is like a blank slate whose character can 
be moulded by the environment into any shape.
(2) Environmental influences only have a little 
value in shaping up a child’s behaviour which is 
primarily genetically determined.
(3) Heredity and environment are inseparably 
interwoven and both influence development.
(4) Children are genetically predisposed to what 
they would be like irrespective of whatever 
environment they grow up in.
15. Socialization is a process of:
(1) acquiring values, beliefs and expectations
(2) assimilation and accommodation
(3) learning to critique the culture of a society
(4) socializing with friends
16. Piaget proposes that pre-operational children are 
unable to conserve. He attributes this inability to 
which one of the following factors?
(1) Inability of hypothetico-deductive reasoning.
(2) Personal fable.
(3) Irreversibility of thought.
(4) Lack of high-level abstract reasoning.
17. According to Paiget’s theory, children learn by:
(1) memorizing information by paying due attention
(2) scaffolding provided by more able members of 
the society
(3) processes of adaptation
(4) changing their behaviour when offered 
appropriate rewards
18. According to V ygotsky , zone of proximal development 
is:
(1) zone demarking the support offered by the 
teacher
(2) the gap between what the child can do 
independently and with assistance
(3)  the amount and nature of support provided to 
the child to achieve her potential
(4) what the child can do on her own which cannot 
be assessed
19. A teacher in a multi-cultural classroom would ensure 
that the assessment considers the following:
(1) Reliability and validity of her assessment tool.
(2) Expectations of the school administration by 
complying with the minimum levels of learning.
(3) Standardization of the assessment tool.
(4) Socio-cultural context of her students.
20. An upper primary school constructivist classroom 
would foresee the following role of students in their 
own assessment:
(1) Make detailed guidelines for how marks would 
be correlated to students achievement and 
prestige in class.
(2) Students would be the sole determinants of their 
own assessment.
(3) Students would plan for assessment with the 
teacher.
(4) Denying that assessment has a role in teaching 
learning.
21. The rationale behind inclusive education is that:
(1) society is heterogeneous and schools need to be 
inclusive to cater to heterogeneous society
(2) we need to take pity on special children and 
provide them access to facilities
(3) it is not cost-effective to provide for separate 
schools for special children
(4) the benchmarks for performance of each child 
should be uniform and standardized
22. Which one of the following would be the most 
effective way to identify a creative child by the 
teacher?
(1) Observing how the child interacts with peers in 
team tasks.
(2) Administering standardized intelligence tests.
(3) Giving objective type tests.
(4) Detailed observation of the child especially 
when she solves problems.
23. A teacher can effectively respond to the needs of 
children from ‘disadvantaged sections‘ of society by:
(1) telling the ‘other children‘ to co-operate with the 
‘disadvantaged children‘ and help them learn 
the ways of the school
(2) reflecting on the school system and herself about 
various ways in which biases and stereotypes 
surface
(3) ensuring that the children do not get a chance to 
interact with each other to minimize the chances 
of their being bullied
(4) sensitizing the disadvantaged children to the 
norms and structures of schools so that they can 
comply with those
24. Research has pointed out that several levels of 
discrimination exist in the schools. Which of these is 
not an example of discrimination at upper primary 
level?
(1) Many teachers use only lecture method to teach.
(2) Dalit children are made to sit separately during 
mid-day meals.
(3) Girls are not encouraged to take up maths and 
science.
(4) Teachers have low expectations of children from 
lower socio-economic strata.
  
25. Which of these is a characteristic of a child with 
learning disability?
(1) An IQ below 50.
(2) Bullying other children and engaging in 
aggressive acts.
(3) Doing the same motor action repeatedly.
(4) Difficulty in reading fluently and reversing 
words.
26. Which one of the following statements best describes 
why children should be encouraged to ask question 
in the class?
(1) Questions increase the curiosity of the children.
(2) Questions take learning forward by interactions 
and lead to conceptual clarity.
(3) Children need to practise their language skills.
(4) Children can be made to realize that they lack 
intelligence by making them think of all the 
things they don’t know about.
27. Which one of the following assessment practices will 
bring out the best in students?
(1) When students are required to reproduce facts 
as tested via multiple choice questions.
(2) When conceptual change and students' 
alternative solutions are assessed through 
several different methods of assessment.
(3) When the marks obtained and the position 
secured by the student in the class are the 
ultimate determinants of success.
(4) When the emphasis is laid upon positive correlation 
between test scores and student ability.
28. The amount and type of scaffolding to a child would 
change depending on the:
(1) mood of the teacher
(2) rewards offered for the task
(3) level of the child’s performance
(4) child’s innate abilities
29. As an upper primary school mathematics teacher 
you believe that:
(1) students' errors provide insights into their 
thinking
(2) not all children have the ability to study 
mathematics in upper primary school
(3) boys will learn mathematics without much effort 
since they are ‘born with it‘ and you need to pay 
more attention to girls
(4) students need to possess procedural knowledge 
even if they don’t understand conceptual basis
30. Which one of these statements do you agree with?
(1) A child fails because the government is not giving 
enough technological resources in schools.
(2) A child’s failure can be attributed directly to the 
genetic material he/she has acquired from his/
her parents.
(3) A child’s failure is a reflection on the system and 
its inability to respond to the child.
(4) A child’s failure is primarily due to lack of 
parent’s education and economic status.
Mathematics and Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  Place of mathematics education in the curricular 
framework is positioned on twin concerns :
(1) What mathematics education can do to improve 
the score of students in summative examination 
and how it can help to choose right stream in 
higher classes 
(2) What mathematics education can do to improve 
communication skills of every child and how it 
can make them employable after school
(3) What mathematics education can do to engage 
the mind of every student and how it can 
strengthen the student’s resources.
(4) What mathematics can do to retain every child 
in school and how it can help them to be self-
dependent
32. LCM of 22, 54, 135 and 198 is:
(1) 2
2
 × 3
3
 × 5 × 11 (2) 2 × 3
3
 × 5 × 11
(3) 2
2
 × 3
3
 × 5 × 11 (4) 2
3
 × 3
2
 × 5 × 11
33. In class VI, in the unit of ‘Understanding 
Quadrilaterals’, important results related to angle-
sum property of quadrilaterals are introduced using 
paper folding activity followed by the exercise based 
on these properties.
 At this level proof of the angle property is not given, 
as the students of class VI are at Van Hiele level of:
(1) Level 2—Informal Deduction 
(2) Level 3—Deduction
(3) Level 0—Visualization 
(4) Level 1—Analysis
34. The term, ‘Mathematical tools’ refers to:
(1) Calculators, rulers, tape measures, protractors, 
compass, etc.
(2) All types of materials including language, written 
symbols, meaningful instructions to establish 
their purpose
(3) Physical material like geo-board and 3D models, 
cubic rods, etc.
(4) Charts based on formulae and concepts graph 
papers, dotted sheets, etc.
35. Four stages of language development in mathematics  
classroom in order are:
(1) Everyday language ? Mathematized situation 
language ? Language of Mathematics problem 
solving ? Symbolic language
(2) Everyday language ? Language of Mathematics 
problem solving ? Mathematized situation 
language ? Symbolic language
(3) Everyday language ? Language of Mathematics 
problem solving ? Symbolic language ? 
Mathematized situation language
(4) Everyday language ? Symbolic language ? 
Language of Mathematics problem solving ? 
Mathematized situation language
36. A learner exhibiting difficulty in sorting, recognizing 
patterns, orienting numbers and shapes, telling 
time and measurement  may have dyscalculia with 
difficulty in:
(1) language processing
(2) visual-motor coordination
(3) visual-spatial skills
(4) visual-memory
  
37. CBSE announced the celebration of ‘GANIT Week’ 
in schools to commemorate the birth anniversary of 
the legendary mathematician, Srinivasa Ramanujan. 
GANIT stands for:
(1) Growing Ability in Numerical Innovations and 
T echniques
(2) Growing Ability in Numerical Innovations and 
T raining
(3) Growing Aptitude in Numerical Innovations 
and Techniques
(4) Growing Aptitude in Numerical Innovations 
and Training
38. Learning mathematics at upper primary level is 
about:
(1) gaining understanding of mathematical concepts 
and their applications in solving problems 
logically.
(2) learning lots of new formulae and algorithms.
(3) remembering solutions or methods of various 
types of mathematical problems.
(4) learning problem solving techniques only.
39. Read the following question from class VI textbook:
 “Write a pair of integers whose sum gives a negative 
integer.”
 The above question refers to:
(1) Reflective question
(2) Multi-disciplinary question
(3) Open-ended question
(4) Closed-ended question
40. The product of integers between –7 and –3 is:
(1) 120 (2) – 120
(3) 840 (4) – 360
41. Which one of the following statements is correct?
(1) Sum of two prime numbers is always a prime 
number. 
(2) A composite number can be odd.
(3) There is no even prime number. 
(4) ‘1’ is the smallest prime number.
42. In geometry of VI grade students, the teacher 
explained the construction of angles measuring 
30°, 60° and 90° with the help of demonstration of 
construction and bisector of an angle. Then she 
asked the students to construct an angle of 15° and 
45°.
 This task at this point reflects the teacher’s intention 
to:
(1) assess the learner’s performance in summative 
assessment.
(2) assess the student’s understanding and ability 
to combine two skills learnt, to accomplish the 
given task.
(3) engage every student in some work.
(4) give the exposure of experiential learning.
43. The value of
 
11 11 111 111
1
10 100 1000 10000
++ + +
 
is:
(1) 3.3221 (2) 2.3321
(3) 2.245 (4) 2.432
44. The mean of range, mode and median of the data
 4, 3, 2, 2, 7, 2, 2, 0 3, 4, 4 is:
(1) 4 (2) 5
(3) 2 (4) 3
45. The sum of all interior angles of a regular convex 
polygon is 1080°. The measure of each of its interior 
angles is:
(1) 108° (2) 72°
(3) 120° (4) 135°
46. In a quadrilateral ABCD, ?D = 60° and ?C = 100°. 
The bisectors of ?A and ?B meet at the point P . The 
measure of ?APB is:
(1) 80°
 
(2) 100°
(3) 60° (4) 70°
47. In D DEF and D PQR, if PQ= DE, EF = PR and FD 
= QR, then 
(1) D DEF ? D RPQ (2) D DEF ? D QRP
(3) D DEF ? D PQR (4) D DEF ? D QPR
48. The perimeter of a trapezium is 104 cm, the lengths 
of its non-parallel sides are 18 cm and 22 cm and its 
altitude is 16 cm. The area (in cm
2
) of the trapezium 
is:
(1) 1024 (2) 512
(3) 320 (4) 640
49. If each edge of a solid cube is increased by 150%, the 
percentage increase in the surface area is:
(1) 525 (2) 625
(3) 150 (4) 225
50. The radii of the bases of two cylinders are in the 
ratio of 2 : 3 and their heights are in the ratio of 5 : 3. 
The ratio of their volumes is:
(1) 7 : 6 (2) 4 : 9
(3) 20 : 27 (4) 10 : 9
51. One of the factors of
 4x
2
 + y
2
 + 14x – 7y – 4xy + 12
 is :
(1) 2x + y + 4 (2) 2x + y – 4
(3) 2x – y + 3 (4) 2x – y – 3
52. What should be subtracted from 
-5
7
 
to get
 
-2
3
?
(1) 
29
21
 
(2)
 
-29
21
(3)
 
1
21
 
(4)
 
-1
21
53. In standard from, 0.00001278 is expressed as k × 10
n
. 
The value of (k + n) is:
(1) 3.278 (2) – 3.722
(3) 4.722 (4) – 3.278
54. The least number which must be added to 893304 to 
obtain a perfect square is:
(1) 1521 (2) 1612
(3) 945 (4) 1042
55. The value of -- 91125 512
33
 is:
(1) – 53 (2) 73
(3) – 37 (4) 42
56. The values of y for which the 4-digit number 51y3 is 
divisible by 9 is: 
(1) 2 or 3 (2) 0 or 3
(3) 3 or 9 (4) 0 or 9
57. In the product (x
2
 – 2) (1 – 3x + 2x
2
) the sum of 
coefficients of x
2
 and x is:
(1) 5 (2) 6
(3) 2 (4) 3
  
58. The scale of a map is 1 : 3 × 10
6
. Two cities are 9 
cm apart on the map. The actual distance (in km) 
between the cities is:
(1) 180 (2) 360
(3) 135 (4) 270
59. The value of a machine which was purchased 
two years ago, depreciates at 12% per annum. If 
its present value of ` 9,680, for how much was it 
purchased?
(1) ` 12,142.60 (2) ` 12,500
(3) ` 10,200 (4) ` 11,350.60
60. As per NCF 2005, the goal of mathematics teaching in 
school curriculum is that children learn “Important 
Mathematics” Important Mathematics implies:
(1) understanding appropriate use of learnt 
mathematical techniques.
(2) verifying geometrical theorems in Maths Lab.
(3) knowing mathematical procedures and 
algorithms.
(4) solving mathematical games and puzzles.
Directions: Answer the following questions (Q. Nos. 61 to 
90) by selecting the correct/most appropriate options.
61. An object is vibrating at 5000 Hz. The time period of 
the sound produced is:
(1) 0.005 s (2) 0.0002 s
(3) 0.5 s (4) 0.02 s
62. Consider the following terms:
A. Lightning B. Landslide
C. Thundering D. T sunami
E. Floods
 Earthquakes can cause
(1) B, D and E (2) A, B and C
(3) B only (4) B and E
63. Select the correct statement regarding rods and 
cones in the human eye:
(1) Cones are sensitive to dim light.
(2) Cones are sensitive to bright light.
(3) Rods can sense colour.
(4) Rods are sensitive to bright light.
64. Which one of the following planets has no natural 
satellite of its own?
(1) Uranus (2) V enus
(3) Jupiter (4) Mars
65. ‘Good science education‘ should fulfil some basic 
validity. Which one of the following validities 
is most appropriately fulfilled by the concept of 
‘shadow formation‘ in class VI syllabus at upper 
primary level?
(1) Process (2) Environmental
(3) Content (4) Cognitive
66. A teacher frames a learning objective as-”Making 
a device using simple electric circuit.”This learning 
objective is matching with which cognitive process?
(1) Understanding (2) Analysing
(3) Remembering (4) Creating
67. Which one of the following statements about 
scientific knowledge would you not agree with?
(1) Scientific knowledge is absolute, certain and 
eternal.
(2) Scientific knowledge is socially and culturally 
embedded.
(3) Scientific knowledge is theory laden.
(4) Development of scientific knowledge involves 
imagination and creativity.
68. Which one of the following is the most appropriate 
technique of assessment of attitude and values 
development among students by science education?
(1) Paper-pencil test (2) Check-list
(3) Rating scale (4) Observation
69. Consider the following edible plants:
A. Banana B. Brinjal
C. Lady’s finger D. Pumpkin
 Select from these a pair of plants which has two or 
more than two edible parts:
(1) C and D (2) A and D
(3) A and B (4) B and C
70. Which one of the following sets is the combination 
of organs of human digestive system that do not 
carry out any digestive function?
(1) Oesophagus, large intestine, rectum
(2) Buccal cavity, large intestine, rectum
(3) Buccal cavity, oesophagus, rectum
(4) Buccal cavity, oesophagus, large intestine
71. Study the following statements about villi (singular 
villus):
A. They have very thin walls.
B. They are finger-like projections.
C. They have a network of thin and small blood 
vessels close to the surface.
D. They have small pores through which food can 
easily pass.
 Identify the statements which give the characteristics 
that enable villi to absorb the digested food.
(1) C and D only (2) A, B and C
(3) A and B only (4) B and D only
72. Select from the following a set of ruminants:
(1) Buffalo, cow, deer (2) Buffalo, cow, dog
(3) Cow, deer, dog (4) Cat, buffalo, deer
73. Sometimes after doing physical work we get muscle 
cramps. This results due to:
(1) non-conversion of glucose to pyruvate
(2) non-conversion of glucose to lactic acid
(3) conversion of pyruvate to lactic acid
(4) conversion of pyruvate to alcohol
74. Which one of the following shows the correct 
sequence of the path of urine in the human excretory 
system?
(1) Kidney ? Urinary bladder ? Ureter ? Urethra
(2) Kidney ? Urinary bladder ? Urethra ? Ureter
(3) Kidney ? Urethra ? Urinary bladder ? 
Ureter 
(4) Kidney ? Ureter ? Urinary bladder ? Urethra
75. A bus covers the first 10 km of its journey at an 
average speed of 40 km/h and the remaining 45 km 
at an average speed of 60 km/h. The average speed 
of the bus for its total journey is:
(1) 52.5 km/h (2) 50 km/h
(3) 57.5 km/h (4) 55 km/h
76. Which one of the following can be used to form a 
virtual and magnified image of an object?
(1) Both convex mirror and convex lens
(2) Both concave mirror and convex lens
(3) Concave lens only
(4) Convex lens only