CTET Solved Question Paper - 2 (16 Sep - 2016) | CTET (Central Teacher Eligibility Test) Mock Test Series 2024 - 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. Two students read the same passage yet construct 
entirely different interpretations of its meaning. 
Which of the following is true about them?
(1) It is not possible and the students need to re-
read the passage.
(2) It is possible because the teacher has not 
explained the passage.
(3) It is possible because different factors affect 
learning of individuals in varied ways.
(4) It is not possible because learning is not meaning-
making.
2. According to the national curriculum framework, 
2005, learning is __________ and __________ in its 
character.
(1) active; social (2) passive; simple
(3) passive; social (4) active; simple
3. To enable students to think independently and 
become effective learners, it is important for a 
teacher to:
(1) offer rewards for each success achieved by the 
students
(2) teach students how to monitor their own 
learning
(3) give information in small units or chunks
(4) present information in an organized manner to 
make it easier to recall
4. If a teacher wants her students to acquire problem-
solving skills, the students should be engaged in 
activities that involve:
(1) structured worksheets containing multiple-
choice questions
(2) recall, memorization and comprehension
(3) drill and practice
(4) inquiring, reasoning and decision making
5. Knowing the naive conceptions that students bring 
to the classroom:
(1) pulls down the teacher’s morale since it increases 
his work
(2) does not serve any purpose of the teacher
(3) helps the teacher to plan teaching more 
meaningfully
(4) hampers the teacher’s planning and teaching
6. Which of the following factors affect learning?
 (i) Motivation of the learner.
 (ii) Maturation of the learner.
 (iii) T eaching strategies.
 (iv) Physical and emotional health of the learner.
(1) (i), (ii), (iii) and (iv) (2) (i) and (ii)
(3) (i) and (iii) (4) (i), (ii) and (iii)
7. Meaningful learning is:
(1) pairing and association between the stimulus 
and the response
(2) imitation of adults and more able peers
(3) passive receiving of the given information
(4) active creation of knowledge structures from 
personal experience
8. Which of the following is not one of the primary 
tasks of a teacher for effective student learning?
(1) Transmitting information to the students in a 
didactic manner.
(2) Knowing the concepts that students bring to the 
classroom.
(3) Requiring students to respond to higher-order 
questioning.
(4) Teaching students how to monitor and improve 
their own learning by effort.
9. Which of the following statements about principles 
of development is incorrect?
(1) Development depends on maturation and 
learning.
(2) Development takes place due to a constant 
interaction between heredity and environment.
(3) Every child goes through stages of development, 
yet there are wide individual differences among 
children.
(4) Development is a quantitative process which can 
be measured precisely.
10. The unique interaction of __________ and 
__________ can result in different paths and 
outcomes of development.
(1) challenges; limitations
(2) heredity; environment
(3) stability; change
(4) exploration; nutrition
11. Which of the following is true of school and 
socialization?
(1) School is an important agent of socialization.
(2) School does not play any role in socialization.
(3) School plays very little role in socialization.
(4) School is the first primary agent of socialization.
12. Which of the following statements is correct about 
Jean Piaget’s theory of cognitive development?
(1) Piaget argues that instead of progressing through 
stages, cognitive development is continuous.
(2) Piaget has proposed five distinct stages of 
cognitive development.
(3) The stages are invariant which means that no 
stage can be skipped.
(4) The sequence of the stages can vary according to 
the cultural context of children.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
1 6th September, 20 16
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. Two students read the same passage yet construct 
entirely different interpretations of its meaning. 
Which of the following is true about them?
(1) It is not possible and the students need to re-
read the passage.
(2) It is possible because the teacher has not 
explained the passage.
(3) It is possible because different factors affect 
learning of individuals in varied ways.
(4) It is not possible because learning is not meaning-
making.
2. According to the national curriculum framework, 
2005, learning is __________ and __________ in its 
character.
(1) active; social (2) passive; simple
(3) passive; social (4) active; simple
3. To enable students to think independently and 
become effective learners, it is important for a 
teacher to:
(1) offer rewards for each success achieved by the 
students
(2) teach students how to monitor their own 
learning
(3) give information in small units or chunks
(4) present information in an organized manner to 
make it easier to recall
4. If a teacher wants her students to acquire problem-
solving skills, the students should be engaged in 
activities that involve:
(1) structured worksheets containing multiple-
choice questions
(2) recall, memorization and comprehension
(3) drill and practice
(4) inquiring, reasoning and decision making
5. Knowing the naive conceptions that students bring 
to the classroom:
(1) pulls down the teacher’s morale since it increases 
his work
(2) does not serve any purpose of the teacher
(3) helps the teacher to plan teaching more 
meaningfully
(4) hampers the teacher’s planning and teaching
6. Which of the following factors affect learning?
 (i) Motivation of the learner.
 (ii) Maturation of the learner.
 (iii) T eaching strategies.
 (iv) Physical and emotional health of the learner.
(1) (i), (ii), (iii) and (iv) (2) (i) and (ii)
(3) (i) and (iii) (4) (i), (ii) and (iii)
7. Meaningful learning is:
(1) pairing and association between the stimulus 
and the response
(2) imitation of adults and more able peers
(3) passive receiving of the given information
(4) active creation of knowledge structures from 
personal experience
8. Which of the following is not one of the primary 
tasks of a teacher for effective student learning?
(1) Transmitting information to the students in a 
didactic manner.
(2) Knowing the concepts that students bring to the 
classroom.
(3) Requiring students to respond to higher-order 
questioning.
(4) Teaching students how to monitor and improve 
their own learning by effort.
9. Which of the following statements about principles 
of development is incorrect?
(1) Development depends on maturation and 
learning.
(2) Development takes place due to a constant 
interaction between heredity and environment.
(3) Every child goes through stages of development, 
yet there are wide individual differences among 
children.
(4) Development is a quantitative process which can 
be measured precisely.
10. The unique interaction of __________ and 
__________ can result in different paths and 
outcomes of development.
(1) challenges; limitations
(2) heredity; environment
(3) stability; change
(4) exploration; nutrition
11. Which of the following is true of school and 
socialization?
(1) School is an important agent of socialization.
(2) School does not play any role in socialization.
(3) School plays very little role in socialization.
(4) School is the first primary agent of socialization.
12. Which of the following statements is correct about 
Jean Piaget’s theory of cognitive development?
(1) Piaget argues that instead of progressing through 
stages, cognitive development is continuous.
(2) Piaget has proposed five distinct stages of 
cognitive development.
(3) The stages are invariant which means that no 
stage can be skipped.
(4) The sequence of the stages can vary according to 
the cultural context of children.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
1 6th September, 20 16
  
13. The concept of ‘conversation‘ as proposed by Jean 
Piaget means that:
(1) it is important to protect wildlife and forests
(2) certain physical properties remain the same even 
when outward appearances change
(3) one can arrive at the correct conclusion by 
systematically testing hypothesis
(4) taking the perspective of others into 
consideration is an important cognitive ability
14. Match the following in the light of Howard 
Gardner’s theory of Multiple Intelligence:
 Type of Intelligence  End State
 (a) Musical (i) Therapist
 (b) Linguistic (ii) Poet
 (c) Interpersonal (iii) Athlete
 (d) Spatial (iv) Violinist
   (v) Sculptor
 (a) (b) (c) (d)
(1) (v) (ii) (iv) (i)
(2) (ii) (iv) (i) (v)
(3) (iv) (ii) (i) (v)
(4) (iv) (ii) (v) (iii)
15. According to Lev Vygotsky:
(1) interaction with adults and peers does not 
influence language development
(2) language development changes the nature of 
human thought
(3) culture plays a very small role in language 
development
(4) children learn language through a language 
acquisition device
16. Lawrence Kohlberg’s theory of moral reasoning 
has been criticized on several counts. Which of the 
following statements is correct in the context of this 
criticism?
(1) Kohlberg has not given typical responses to each 
stage or moral reasoning.
(2) Kohlberg has duplicated Piaget’s methods of 
arriving at his theoretical framework.
(3) Kohlberg’s theory does not focus on children’s 
responses.
(4) Kohlberg has based his study primarily on a 
male sample.
17. Which of the following highlights assessment for 
learning?
(1) The teacher assesses conceptual understanding 
of the students besides focussing on the 
processes of thinking.
(2) The teacher assesses the students by comparing 
their responses to ‘standard‘ responses.
(3) The teacher assesses the students based on the 
information given in the textbooks.
(4) The teacher assesses a student based on his/her 
performance in comparison to others.
18. ‘Child-centred‘ pedagogy means:
(1) the teacher dictating the children what should 
be done
(2) giving primacy to children’s experiences and 
their voices
(3) enabling the children to follow prescribed 
information
(4) the teacher leading all the learning in the 
classroom
19. Which of the following statements describes Piaget 
and Vygotsky’s views on language and thought 
correctly?
(1) According to Vygotsky, thought emerges first and 
according to Piaget, language has a profound 
effect on thought.
(2) According to Piaget, thought emerges first and 
according to Vygotsky, language has a profound 
effect on thought.
(3) Both view thought as emerging from the child’s 
language.
(4) Both view language as emerging from the child’s 
thought.
20. Watching her granddaughter arguing with her 
father for going on a school trip, the grandmother 
says, “Why can’t you be obedient like a good girl? 
Who will marry you if you behave like a boy?“ This 
statement reflects which of the following?
(1) Gender constancy.
(2) Gender stereotypes about attributes of girls and 
boys.
(3) Improper gender identification of the girl.
(4) Difficulties faced by families in child-rearing.
21. Which of the following statements about assessment 
are correct?
(a) Assessment should help students see their 
strengths and gaps and help the teacher fine-
tune her teaching accordingly.
(b) Assessment is meaningful only if comparative 
evaluations of students are made.
(c) Assessment should assess not only memory but 
also understanding and application.
(d) Assessment cannot be purposeful if it does not 
induce fear and anxiety.
(1) (b) and (c) (2) (a) and (b)
(3) (b) and (d) (4) (a) and (c)
22. According to the Right to Education Act, 2009, 
children with special needs should study.
(1) at home with their parents and caregivers 
providing necessary support
(2) in special schools created exclusively for them
(3) in inclusive education setups with provisions to 
cater to their individual needs
(4) in vocational training centres which would 
prepare them for life skills
23. An effective teacher in a classroom, where students 
come from diverse backgrounds, would:
(1) push students from deprived backgrounds to 
work hard so that they can match up with their 
peers
(2) focus on their cultural knowledge to address 
individual differences among the group
(3) ignore cultural knowledge and treat all his 
students in a uniform manner
(4) create groups of students with those from the 
same economic background put together
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. Two students read the same passage yet construct 
entirely different interpretations of its meaning. 
Which of the following is true about them?
(1) It is not possible and the students need to re-
read the passage.
(2) It is possible because the teacher has not 
explained the passage.
(3) It is possible because different factors affect 
learning of individuals in varied ways.
(4) It is not possible because learning is not meaning-
making.
2. According to the national curriculum framework, 
2005, learning is __________ and __________ in its 
character.
(1) active; social (2) passive; simple
(3) passive; social (4) active; simple
3. To enable students to think independently and 
become effective learners, it is important for a 
teacher to:
(1) offer rewards for each success achieved by the 
students
(2) teach students how to monitor their own 
learning
(3) give information in small units or chunks
(4) present information in an organized manner to 
make it easier to recall
4. If a teacher wants her students to acquire problem-
solving skills, the students should be engaged in 
activities that involve:
(1) structured worksheets containing multiple-
choice questions
(2) recall, memorization and comprehension
(3) drill and practice
(4) inquiring, reasoning and decision making
5. Knowing the naive conceptions that students bring 
to the classroom:
(1) pulls down the teacher’s morale since it increases 
his work
(2) does not serve any purpose of the teacher
(3) helps the teacher to plan teaching more 
meaningfully
(4) hampers the teacher’s planning and teaching
6. Which of the following factors affect learning?
 (i) Motivation of the learner.
 (ii) Maturation of the learner.
 (iii) T eaching strategies.
 (iv) Physical and emotional health of the learner.
(1) (i), (ii), (iii) and (iv) (2) (i) and (ii)
(3) (i) and (iii) (4) (i), (ii) and (iii)
7. Meaningful learning is:
(1) pairing and association between the stimulus 
and the response
(2) imitation of adults and more able peers
(3) passive receiving of the given information
(4) active creation of knowledge structures from 
personal experience
8. Which of the following is not one of the primary 
tasks of a teacher for effective student learning?
(1) Transmitting information to the students in a 
didactic manner.
(2) Knowing the concepts that students bring to the 
classroom.
(3) Requiring students to respond to higher-order 
questioning.
(4) Teaching students how to monitor and improve 
their own learning by effort.
9. Which of the following statements about principles 
of development is incorrect?
(1) Development depends on maturation and 
learning.
(2) Development takes place due to a constant 
interaction between heredity and environment.
(3) Every child goes through stages of development, 
yet there are wide individual differences among 
children.
(4) Development is a quantitative process which can 
be measured precisely.
10. The unique interaction of __________ and 
__________ can result in different paths and 
outcomes of development.
(1) challenges; limitations
(2) heredity; environment
(3) stability; change
(4) exploration; nutrition
11. Which of the following is true of school and 
socialization?
(1) School is an important agent of socialization.
(2) School does not play any role in socialization.
(3) School plays very little role in socialization.
(4) School is the first primary agent of socialization.
12. Which of the following statements is correct about 
Jean Piaget’s theory of cognitive development?
(1) Piaget argues that instead of progressing through 
stages, cognitive development is continuous.
(2) Piaget has proposed five distinct stages of 
cognitive development.
(3) The stages are invariant which means that no 
stage can be skipped.
(4) The sequence of the stages can vary according to 
the cultural context of children.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
1 6th September, 20 16
  
13. The concept of ‘conversation‘ as proposed by Jean 
Piaget means that:
(1) it is important to protect wildlife and forests
(2) certain physical properties remain the same even 
when outward appearances change
(3) one can arrive at the correct conclusion by 
systematically testing hypothesis
(4) taking the perspective of others into 
consideration is an important cognitive ability
14. Match the following in the light of Howard 
Gardner’s theory of Multiple Intelligence:
 Type of Intelligence  End State
 (a) Musical (i) Therapist
 (b) Linguistic (ii) Poet
 (c) Interpersonal (iii) Athlete
 (d) Spatial (iv) Violinist
   (v) Sculptor
 (a) (b) (c) (d)
(1) (v) (ii) (iv) (i)
(2) (ii) (iv) (i) (v)
(3) (iv) (ii) (i) (v)
(4) (iv) (ii) (v) (iii)
15. According to Lev Vygotsky:
(1) interaction with adults and peers does not 
influence language development
(2) language development changes the nature of 
human thought
(3) culture plays a very small role in language 
development
(4) children learn language through a language 
acquisition device
16. Lawrence Kohlberg’s theory of moral reasoning 
has been criticized on several counts. Which of the 
following statements is correct in the context of this 
criticism?
(1) Kohlberg has not given typical responses to each 
stage or moral reasoning.
(2) Kohlberg has duplicated Piaget’s methods of 
arriving at his theoretical framework.
(3) Kohlberg’s theory does not focus on children’s 
responses.
(4) Kohlberg has based his study primarily on a 
male sample.
17. Which of the following highlights assessment for 
learning?
(1) The teacher assesses conceptual understanding 
of the students besides focussing on the 
processes of thinking.
(2) The teacher assesses the students by comparing 
their responses to ‘standard‘ responses.
(3) The teacher assesses the students based on the 
information given in the textbooks.
(4) The teacher assesses a student based on his/her 
performance in comparison to others.
18. ‘Child-centred‘ pedagogy means:
(1) the teacher dictating the children what should 
be done
(2) giving primacy to children’s experiences and 
their voices
(3) enabling the children to follow prescribed 
information
(4) the teacher leading all the learning in the 
classroom
19. Which of the following statements describes Piaget 
and Vygotsky’s views on language and thought 
correctly?
(1) According to Vygotsky, thought emerges first and 
according to Piaget, language has a profound 
effect on thought.
(2) According to Piaget, thought emerges first and 
according to Vygotsky, language has a profound 
effect on thought.
(3) Both view thought as emerging from the child’s 
language.
(4) Both view language as emerging from the child’s 
thought.
20. Watching her granddaughter arguing with her 
father for going on a school trip, the grandmother 
says, “Why can’t you be obedient like a good girl? 
Who will marry you if you behave like a boy?“ This 
statement reflects which of the following?
(1) Gender constancy.
(2) Gender stereotypes about attributes of girls and 
boys.
(3) Improper gender identification of the girl.
(4) Difficulties faced by families in child-rearing.
21. Which of the following statements about assessment 
are correct?
(a) Assessment should help students see their 
strengths and gaps and help the teacher fine-
tune her teaching accordingly.
(b) Assessment is meaningful only if comparative 
evaluations of students are made.
(c) Assessment should assess not only memory but 
also understanding and application.
(d) Assessment cannot be purposeful if it does not 
induce fear and anxiety.
(1) (b) and (c) (2) (a) and (b)
(3) (b) and (d) (4) (a) and (c)
22. According to the Right to Education Act, 2009, 
children with special needs should study.
(1) at home with their parents and caregivers 
providing necessary support
(2) in special schools created exclusively for them
(3) in inclusive education setups with provisions to 
cater to their individual needs
(4) in vocational training centres which would 
prepare them for life skills
23. An effective teacher in a classroom, where students 
come from diverse backgrounds, would:
(1) push students from deprived backgrounds to 
work hard so that they can match up with their 
peers
(2) focus on their cultural knowledge to address 
individual differences among the group
(3) ignore cultural knowledge and treat all his 
students in a uniform manner
(4) create groups of students with those from the 
same economic background put together
  
24. Match the following principles of development with 
their correct descriptions:
  Principle Description
 (a) Proximodistal (i) Different children
  trend  develop at different
    rates
 (b) Cephalocaudal trend (ii) Head to toe
    sequence
 (c) Interindividual (iii) In a single child,
  differences  the rate of
    development can 
    vary from one
    domain of
    development to the
    other
 (d) Intraindividual (iv) From the centre of
  differences  body to outwards
   (v) Progression from 
    simple to complex
  (a) (b) (c) (d)
(1) (v) (ii) (i) (iii)
(2) (ii) (iv) (i) (iii)
(3) (ii) (iv) (iii) (i)
(4) (iv) (ii) (i) (iii)
25. Which of the following statements about cognition 
and emotions is correct?
(1) Cognition and emotions are intertwined and 
affect each other.
(2) Cognition and emotions are processes 
independent of each other.
(3) Cognition affects emotions but emotions do not 
affect cognition.
(4) Emotions affect cognition but cognition does not 
affect emotions.
26. In an inclusive classroom with diverse learners, 
cooperative learning and peer-tutoring.
(1) should be used only sometimes since it promotes 
comparison with classmates
(2) should be actively discouraged and competition 
should be promoted
(3) should be actively promoted to facilitate peer-
acceptance
(4) should not be practised and students should be 
segregated based on their abilities
27. A teacher can address diversity in her class by:
 (a) accepting and valuing differences
 (b) using socio-cultural background of children as a 
pedagogic resource
 (c) accommodating different learning styles
 (d) giving standard instruction and setting uniform 
benchmarks for performance
 Select the correct answer using the code given 
below.
(1) (a), (b), (c) and (d) (2) (a), (b) and (d)
(3) (b), (c) and (d) (4) (a), (b) and (c)
28. A teacher asks her class to cover sharp edges of 
furniture with cotton and use ‘T ouch and Feel‘ notice 
boards and books. The needs of which category of 
special learners is she attempting to cater to?
(1) Visually-impaired learners.
(2) Hearing-impaired learners.
(3) Learning-impaired learners.
(4) Socially disadvantaged learners.
29. Gifted children are best catered to by educational 
programmes that:
(1) make use of gifts and reward to motivate them 
to perform according to minimum standards of 
learning
(2) emphasize mastery of knowledge by recall
(3) stimulate their thinking and give them 
opportunities to engage in divergent thinking
(4) control their aggressive behaviour
30. Which of the following statements about students 
failure in schools are correct?
 (a) Students belonging to certain castes and 
communities fail since they do not have ability.
 (b) Students fail in schools because appropriate 
rewards are not offered for their learning.
 (c) Students fail because teaching is not done in a 
manner in which it is meaningful to them.
 (d) Students fail because school system does not 
cater to individual child’s needs and interests.
(1) (c) and (d) (2) (b) and (c)
(3) (b) and (c) (4) (b) and (d)
Mathematics & Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  Neeta, a class VII mathematics teacher, assigns a lot 
of survey-based projects to mathematics classroom. 
The purpose of such activity is:
A. to promote problem-solving skills
B. to give an opportunity  to students to collect 
authentic data
C. to break the monotony of the classroom
D. to use it as an alternate assessment
 Which of the above purpose are true ?
(1) A, B and C (2) A and B
(3) A and C (4) A, B and D
32. Which of the following term in mathematics is 
defined?
 (1) Point 
 (2) Line
(3) Diagonal of a quadrilateral 
(4) Plane
33. Which of the following is not an important aspect in 
‘algebra’?
(1) Visualization (2)  Measurement
(3) T ransportation (4) Generalization
34. ‘Problem posing’ in mathematics means:
(1) inability to solve problems 
(2) raising doubts in the class
(3) solving problems
(4) creating problems from the content
35. A good mathematics textbook contains a lot of:
(1) questions for exploration
(2) question for practice
(3) worked out examples
(4) theorems and proofs
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. Two students read the same passage yet construct 
entirely different interpretations of its meaning. 
Which of the following is true about them?
(1) It is not possible and the students need to re-
read the passage.
(2) It is possible because the teacher has not 
explained the passage.
(3) It is possible because different factors affect 
learning of individuals in varied ways.
(4) It is not possible because learning is not meaning-
making.
2. According to the national curriculum framework, 
2005, learning is __________ and __________ in its 
character.
(1) active; social (2) passive; simple
(3) passive; social (4) active; simple
3. To enable students to think independently and 
become effective learners, it is important for a 
teacher to:
(1) offer rewards for each success achieved by the 
students
(2) teach students how to monitor their own 
learning
(3) give information in small units or chunks
(4) present information in an organized manner to 
make it easier to recall
4. If a teacher wants her students to acquire problem-
solving skills, the students should be engaged in 
activities that involve:
(1) structured worksheets containing multiple-
choice questions
(2) recall, memorization and comprehension
(3) drill and practice
(4) inquiring, reasoning and decision making
5. Knowing the naive conceptions that students bring 
to the classroom:
(1) pulls down the teacher’s morale since it increases 
his work
(2) does not serve any purpose of the teacher
(3) helps the teacher to plan teaching more 
meaningfully
(4) hampers the teacher’s planning and teaching
6. Which of the following factors affect learning?
 (i) Motivation of the learner.
 (ii) Maturation of the learner.
 (iii) T eaching strategies.
 (iv) Physical and emotional health of the learner.
(1) (i), (ii), (iii) and (iv) (2) (i) and (ii)
(3) (i) and (iii) (4) (i), (ii) and (iii)
7. Meaningful learning is:
(1) pairing and association between the stimulus 
and the response
(2) imitation of adults and more able peers
(3) passive receiving of the given information
(4) active creation of knowledge structures from 
personal experience
8. Which of the following is not one of the primary 
tasks of a teacher for effective student learning?
(1) Transmitting information to the students in a 
didactic manner.
(2) Knowing the concepts that students bring to the 
classroom.
(3) Requiring students to respond to higher-order 
questioning.
(4) Teaching students how to monitor and improve 
their own learning by effort.
9. Which of the following statements about principles 
of development is incorrect?
(1) Development depends on maturation and 
learning.
(2) Development takes place due to a constant 
interaction between heredity and environment.
(3) Every child goes through stages of development, 
yet there are wide individual differences among 
children.
(4) Development is a quantitative process which can 
be measured precisely.
10. The unique interaction of __________ and 
__________ can result in different paths and 
outcomes of development.
(1) challenges; limitations
(2) heredity; environment
(3) stability; change
(4) exploration; nutrition
11. Which of the following is true of school and 
socialization?
(1) School is an important agent of socialization.
(2) School does not play any role in socialization.
(3) School plays very little role in socialization.
(4) School is the first primary agent of socialization.
12. Which of the following statements is correct about 
Jean Piaget’s theory of cognitive development?
(1) Piaget argues that instead of progressing through 
stages, cognitive development is continuous.
(2) Piaget has proposed five distinct stages of 
cognitive development.
(3) The stages are invariant which means that no 
stage can be skipped.
(4) The sequence of the stages can vary according to 
the cultural context of children.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
1 6th September, 20 16
  
13. The concept of ‘conversation‘ as proposed by Jean 
Piaget means that:
(1) it is important to protect wildlife and forests
(2) certain physical properties remain the same even 
when outward appearances change
(3) one can arrive at the correct conclusion by 
systematically testing hypothesis
(4) taking the perspective of others into 
consideration is an important cognitive ability
14. Match the following in the light of Howard 
Gardner’s theory of Multiple Intelligence:
 Type of Intelligence  End State
 (a) Musical (i) Therapist
 (b) Linguistic (ii) Poet
 (c) Interpersonal (iii) Athlete
 (d) Spatial (iv) Violinist
   (v) Sculptor
 (a) (b) (c) (d)
(1) (v) (ii) (iv) (i)
(2) (ii) (iv) (i) (v)
(3) (iv) (ii) (i) (v)
(4) (iv) (ii) (v) (iii)
15. According to Lev Vygotsky:
(1) interaction with adults and peers does not 
influence language development
(2) language development changes the nature of 
human thought
(3) culture plays a very small role in language 
development
(4) children learn language through a language 
acquisition device
16. Lawrence Kohlberg’s theory of moral reasoning 
has been criticized on several counts. Which of the 
following statements is correct in the context of this 
criticism?
(1) Kohlberg has not given typical responses to each 
stage or moral reasoning.
(2) Kohlberg has duplicated Piaget’s methods of 
arriving at his theoretical framework.
(3) Kohlberg’s theory does not focus on children’s 
responses.
(4) Kohlberg has based his study primarily on a 
male sample.
17. Which of the following highlights assessment for 
learning?
(1) The teacher assesses conceptual understanding 
of the students besides focussing on the 
processes of thinking.
(2) The teacher assesses the students by comparing 
their responses to ‘standard‘ responses.
(3) The teacher assesses the students based on the 
information given in the textbooks.
(4) The teacher assesses a student based on his/her 
performance in comparison to others.
18. ‘Child-centred‘ pedagogy means:
(1) the teacher dictating the children what should 
be done
(2) giving primacy to children’s experiences and 
their voices
(3) enabling the children to follow prescribed 
information
(4) the teacher leading all the learning in the 
classroom
19. Which of the following statements describes Piaget 
and Vygotsky’s views on language and thought 
correctly?
(1) According to Vygotsky, thought emerges first and 
according to Piaget, language has a profound 
effect on thought.
(2) According to Piaget, thought emerges first and 
according to Vygotsky, language has a profound 
effect on thought.
(3) Both view thought as emerging from the child’s 
language.
(4) Both view language as emerging from the child’s 
thought.
20. Watching her granddaughter arguing with her 
father for going on a school trip, the grandmother 
says, “Why can’t you be obedient like a good girl? 
Who will marry you if you behave like a boy?“ This 
statement reflects which of the following?
(1) Gender constancy.
(2) Gender stereotypes about attributes of girls and 
boys.
(3) Improper gender identification of the girl.
(4) Difficulties faced by families in child-rearing.
21. Which of the following statements about assessment 
are correct?
(a) Assessment should help students see their 
strengths and gaps and help the teacher fine-
tune her teaching accordingly.
(b) Assessment is meaningful only if comparative 
evaluations of students are made.
(c) Assessment should assess not only memory but 
also understanding and application.
(d) Assessment cannot be purposeful if it does not 
induce fear and anxiety.
(1) (b) and (c) (2) (a) and (b)
(3) (b) and (d) (4) (a) and (c)
22. According to the Right to Education Act, 2009, 
children with special needs should study.
(1) at home with their parents and caregivers 
providing necessary support
(2) in special schools created exclusively for them
(3) in inclusive education setups with provisions to 
cater to their individual needs
(4) in vocational training centres which would 
prepare them for life skills
23. An effective teacher in a classroom, where students 
come from diverse backgrounds, would:
(1) push students from deprived backgrounds to 
work hard so that they can match up with their 
peers
(2) focus on their cultural knowledge to address 
individual differences among the group
(3) ignore cultural knowledge and treat all his 
students in a uniform manner
(4) create groups of students with those from the 
same economic background put together
  
24. Match the following principles of development with 
their correct descriptions:
  Principle Description
 (a) Proximodistal (i) Different children
  trend  develop at different
    rates
 (b) Cephalocaudal trend (ii) Head to toe
    sequence
 (c) Interindividual (iii) In a single child,
  differences  the rate of
    development can 
    vary from one
    domain of
    development to the
    other
 (d) Intraindividual (iv) From the centre of
  differences  body to outwards
   (v) Progression from 
    simple to complex
  (a) (b) (c) (d)
(1) (v) (ii) (i) (iii)
(2) (ii) (iv) (i) (iii)
(3) (ii) (iv) (iii) (i)
(4) (iv) (ii) (i) (iii)
25. Which of the following statements about cognition 
and emotions is correct?
(1) Cognition and emotions are intertwined and 
affect each other.
(2) Cognition and emotions are processes 
independent of each other.
(3) Cognition affects emotions but emotions do not 
affect cognition.
(4) Emotions affect cognition but cognition does not 
affect emotions.
26. In an inclusive classroom with diverse learners, 
cooperative learning and peer-tutoring.
(1) should be used only sometimes since it promotes 
comparison with classmates
(2) should be actively discouraged and competition 
should be promoted
(3) should be actively promoted to facilitate peer-
acceptance
(4) should not be practised and students should be 
segregated based on their abilities
27. A teacher can address diversity in her class by:
 (a) accepting and valuing differences
 (b) using socio-cultural background of children as a 
pedagogic resource
 (c) accommodating different learning styles
 (d) giving standard instruction and setting uniform 
benchmarks for performance
 Select the correct answer using the code given 
below.
(1) (a), (b), (c) and (d) (2) (a), (b) and (d)
(3) (b), (c) and (d) (4) (a), (b) and (c)
28. A teacher asks her class to cover sharp edges of 
furniture with cotton and use ‘T ouch and Feel‘ notice 
boards and books. The needs of which category of 
special learners is she attempting to cater to?
(1) Visually-impaired learners.
(2) Hearing-impaired learners.
(3) Learning-impaired learners.
(4) Socially disadvantaged learners.
29. Gifted children are best catered to by educational 
programmes that:
(1) make use of gifts and reward to motivate them 
to perform according to minimum standards of 
learning
(2) emphasize mastery of knowledge by recall
(3) stimulate their thinking and give them 
opportunities to engage in divergent thinking
(4) control their aggressive behaviour
30. Which of the following statements about students 
failure in schools are correct?
 (a) Students belonging to certain castes and 
communities fail since they do not have ability.
 (b) Students fail in schools because appropriate 
rewards are not offered for their learning.
 (c) Students fail because teaching is not done in a 
manner in which it is meaningful to them.
 (d) Students fail because school system does not 
cater to individual child’s needs and interests.
(1) (c) and (d) (2) (b) and (c)
(3) (b) and (c) (4) (b) and (d)
Mathematics & Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  Neeta, a class VII mathematics teacher, assigns a lot 
of survey-based projects to mathematics classroom. 
The purpose of such activity is:
A. to promote problem-solving skills
B. to give an opportunity  to students to collect 
authentic data
C. to break the monotony of the classroom
D. to use it as an alternate assessment
 Which of the above purpose are true ?
(1) A, B and C (2) A and B
(3) A and C (4) A, B and D
32. Which of the following term in mathematics is 
defined?
 (1) Point 
 (2) Line
(3) Diagonal of a quadrilateral 
(4) Plane
33. Which of the following is not an important aspect in 
‘algebra’?
(1) Visualization (2)  Measurement
(3) T ransportation (4) Generalization
34. ‘Problem posing’ in mathematics means:
(1) inability to solve problems 
(2) raising doubts in the class
(3) solving problems
(4) creating problems from the content
35. A good mathematics textbook contains a lot of:
(1) questions for exploration
(2) question for practice
(3) worked out examples
(4) theorems and proofs
  
36. Consider the following statement:
 “Every odd natural number is a prime number.”
 Which of the following methods of ’proof’ can be 
used to prove/disprove the above statement ?
(1) Method of disproof
(2) Direct proof
(3) Proof by contrapositive
(4) Proof by contradiction
37. Which of the following is not a contributing factor 
responsible for mathematics anxiety?
(1) Nature of subject (2) Gender
(3) Examination system (4) Curriculum
38. Which of the following fraction does not lie between
 -5
6
 
and
 
7
8
?
(1)
 
5
6
 
(2)
 
-17
24
(3)
 
-3
4
 
(4)
 
-11
12
39. The reciprocal of
 
3
8
4
5
23







 














 
is:
(1)
 
8
3
5
4
2
3














 
(2)
 
-9
125
 
(3)
 
125
9
 
(4)
 
9
125
40. If (13
2
 – 5
2
)
3/2
 = 6
3
 × A, then the value of A is:
(1) 2
4
 (2) 2
(3) 2
2
 (4) 2
3
41. If xy 243 867 = ,
 
where x and y are co-prime 
numbers, then the value of (x – y) is:
(1) 8 (2) 3
(3) 4 (4) 6
42. The sum of all possible values of a, for which the 
4-digit number 547a is divisible by 3 is:
(1) 15 (2) 7
(3) 10 (4) 13
43. A common factor of x
4
 – 256, x
3
 – 4x
2
 + 3x – 12 and 
x
2
 – 7x + 12 is:
(1) x – 3 (2) x + 4
(3) x – 4 (4) x + 3
44. On dividing the polynomial 8x
3
 – 6x
2
 + 10x + 3 by 
(4x + 1), the quotient 2x
2
 + k, where k is equal to:
(1) –3 + 2x (2) 3 – 2x
(3) 3 + 2x (4) –3 – 2x
45. In the product of (9x
2
 + 15 – x) and  (–1 – x + x
2
), 
if A, B and C are the coefficients of x
3
, x
2
 and x 
respectively, then the value of (A + B – C) is:
(1)  14 (2) –3
(3) –17 (4) 11
46. When x =
1
9
 
and
 
y
3
4
, then the value of 
expression 81x
2
 + 16y
2
 – 72xy:
(1) 
9
16
 
(2) 25
(3) 16 (4) 
9
4
47. Abhi is twice as old as his daughter. Five years  ago, 
his age was  four times his daughter’s age. If the 
present age of this daughter is x years, then : 
(1) 2(x – 5) = 4 (2x + 5) (2) 2(x – 5) = 4(2x – 5)
(3) 4(x – 5) = 2x – 5 (4) 4(x + 5) = 2(2x – 5)
48. A sum of ` 6,250 at 8% per annum, compounded 
annually, after
 
2
3
4
 
years amounts to:
(1) ` 7,872.60 (2) ` 7,165.60
(3) ` 7,581.40 (4) ` 7,727.40
49. A person marks his goods 40% above the cost price 
and allows 40% discount on the marked  price. His 
loss/gain percent is: 
(1) No loss/gain (2) loss, 8%
(3) gain, 10% (4) loss, 16%
50. The angles of a quadrilateral are in  the ratio 2 : 3 : 5 
: 8. The sum of the supplement of the largest angle 
and the complement  of the smallest angle is:
(1) 80° (2) 50°
(3) 60° (4) 70°
51. Two sides of a right angled triangle measure 15 cm 
and 17 cm. Which of the following statements can be 
true for the length of the third  side of the triangle?
A. It is between 4 cm and 7 cm.
B. It is between 20 cm and 27 cm.
C. It is less than  10 cm.
(1) A and C only (2) B only
(3) A and B only (4) B and C only
52. If one angle of a triangle is 110°, then the angle 
between  the bisectors of the other two angles 
measures:
(1) 145° (2) 90°
(3) 100° (4) 110°
53. In  D ABC, AB = 4 cm, AC = 5 cm and BC = 6 cm. 
In D PQR, PR = 4 cm,  PQ = 5 cm and RQ = 6 cm. 
D ABC is congruent to :
(1) D RPQ (2) D PQR
(3) D PRQ (4) D QRP 
54. A tank is in the form of a cuboid. It holds a maximum 
of 540 m
3
 water. If the tank is 8 m long and 15 m 
wide,  then how many metres  deep must the water 
be when the tank  is
 
2
3
 
full?
(1) 4.5 (2) 2
(3) 2.5 (4) 3
55. The ratio of the areas of two equilateral triangles is 
16 : 9. If the perimeter of the smaller triangle is 63 
cm, then  how much larger  is a side of the larger 
triangle than a side of the smaller triangle ?
(1) 7 cm (2) 3 cm
(3) 4 cm (4) 5 cm
56. The area of a triangle is equal to the area  of a circle 
whose perimeter is 6p cm. If the base of the triangle 
is 8 cm, then its corresponding height (in cm) is:
(1) 2.25 (2) p
(3) 2 (4) 2.25p
57. The mean of mode, median and range of the data:
 2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4 is:
(1) 9 (2) 4
(3) 6 (4) 7
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. Two students read the same passage yet construct 
entirely different interpretations of its meaning. 
Which of the following is true about them?
(1) It is not possible and the students need to re-
read the passage.
(2) It is possible because the teacher has not 
explained the passage.
(3) It is possible because different factors affect 
learning of individuals in varied ways.
(4) It is not possible because learning is not meaning-
making.
2. According to the national curriculum framework, 
2005, learning is __________ and __________ in its 
character.
(1) active; social (2) passive; simple
(3) passive; social (4) active; simple
3. To enable students to think independently and 
become effective learners, it is important for a 
teacher to:
(1) offer rewards for each success achieved by the 
students
(2) teach students how to monitor their own 
learning
(3) give information in small units or chunks
(4) present information in an organized manner to 
make it easier to recall
4. If a teacher wants her students to acquire problem-
solving skills, the students should be engaged in 
activities that involve:
(1) structured worksheets containing multiple-
choice questions
(2) recall, memorization and comprehension
(3) drill and practice
(4) inquiring, reasoning and decision making
5. Knowing the naive conceptions that students bring 
to the classroom:
(1) pulls down the teacher’s morale since it increases 
his work
(2) does not serve any purpose of the teacher
(3) helps the teacher to plan teaching more 
meaningfully
(4) hampers the teacher’s planning and teaching
6. Which of the following factors affect learning?
 (i) Motivation of the learner.
 (ii) Maturation of the learner.
 (iii) T eaching strategies.
 (iv) Physical and emotional health of the learner.
(1) (i), (ii), (iii) and (iv) (2) (i) and (ii)
(3) (i) and (iii) (4) (i), (ii) and (iii)
7. Meaningful learning is:
(1) pairing and association between the stimulus 
and the response
(2) imitation of adults and more able peers
(3) passive receiving of the given information
(4) active creation of knowledge structures from 
personal experience
8. Which of the following is not one of the primary 
tasks of a teacher for effective student learning?
(1) Transmitting information to the students in a 
didactic manner.
(2) Knowing the concepts that students bring to the 
classroom.
(3) Requiring students to respond to higher-order 
questioning.
(4) Teaching students how to monitor and improve 
their own learning by effort.
9. Which of the following statements about principles 
of development is incorrect?
(1) Development depends on maturation and 
learning.
(2) Development takes place due to a constant 
interaction between heredity and environment.
(3) Every child goes through stages of development, 
yet there are wide individual differences among 
children.
(4) Development is a quantitative process which can 
be measured precisely.
10. The unique interaction of __________ and 
__________ can result in different paths and 
outcomes of development.
(1) challenges; limitations
(2) heredity; environment
(3) stability; change
(4) exploration; nutrition
11. Which of the following is true of school and 
socialization?
(1) School is an important agent of socialization.
(2) School does not play any role in socialization.
(3) School plays very little role in socialization.
(4) School is the first primary agent of socialization.
12. Which of the following statements is correct about 
Jean Piaget’s theory of cognitive development?
(1) Piaget argues that instead of progressing through 
stages, cognitive development is continuous.
(2) Piaget has proposed five distinct stages of 
cognitive development.
(3) The stages are invariant which means that no 
stage can be skipped.
(4) The sequence of the stages can vary according to 
the cultural context of children.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
1 6th September, 20 16
  
13. The concept of ‘conversation‘ as proposed by Jean 
Piaget means that:
(1) it is important to protect wildlife and forests
(2) certain physical properties remain the same even 
when outward appearances change
(3) one can arrive at the correct conclusion by 
systematically testing hypothesis
(4) taking the perspective of others into 
consideration is an important cognitive ability
14. Match the following in the light of Howard 
Gardner’s theory of Multiple Intelligence:
 Type of Intelligence  End State
 (a) Musical (i) Therapist
 (b) Linguistic (ii) Poet
 (c) Interpersonal (iii) Athlete
 (d) Spatial (iv) Violinist
   (v) Sculptor
 (a) (b) (c) (d)
(1) (v) (ii) (iv) (i)
(2) (ii) (iv) (i) (v)
(3) (iv) (ii) (i) (v)
(4) (iv) (ii) (v) (iii)
15. According to Lev Vygotsky:
(1) interaction with adults and peers does not 
influence language development
(2) language development changes the nature of 
human thought
(3) culture plays a very small role in language 
development
(4) children learn language through a language 
acquisition device
16. Lawrence Kohlberg’s theory of moral reasoning 
has been criticized on several counts. Which of the 
following statements is correct in the context of this 
criticism?
(1) Kohlberg has not given typical responses to each 
stage or moral reasoning.
(2) Kohlberg has duplicated Piaget’s methods of 
arriving at his theoretical framework.
(3) Kohlberg’s theory does not focus on children’s 
responses.
(4) Kohlberg has based his study primarily on a 
male sample.
17. Which of the following highlights assessment for 
learning?
(1) The teacher assesses conceptual understanding 
of the students besides focussing on the 
processes of thinking.
(2) The teacher assesses the students by comparing 
their responses to ‘standard‘ responses.
(3) The teacher assesses the students based on the 
information given in the textbooks.
(4) The teacher assesses a student based on his/her 
performance in comparison to others.
18. ‘Child-centred‘ pedagogy means:
(1) the teacher dictating the children what should 
be done
(2) giving primacy to children’s experiences and 
their voices
(3) enabling the children to follow prescribed 
information
(4) the teacher leading all the learning in the 
classroom
19. Which of the following statements describes Piaget 
and Vygotsky’s views on language and thought 
correctly?
(1) According to Vygotsky, thought emerges first and 
according to Piaget, language has a profound 
effect on thought.
(2) According to Piaget, thought emerges first and 
according to Vygotsky, language has a profound 
effect on thought.
(3) Both view thought as emerging from the child’s 
language.
(4) Both view language as emerging from the child’s 
thought.
20. Watching her granddaughter arguing with her 
father for going on a school trip, the grandmother 
says, “Why can’t you be obedient like a good girl? 
Who will marry you if you behave like a boy?“ This 
statement reflects which of the following?
(1) Gender constancy.
(2) Gender stereotypes about attributes of girls and 
boys.
(3) Improper gender identification of the girl.
(4) Difficulties faced by families in child-rearing.
21. Which of the following statements about assessment 
are correct?
(a) Assessment should help students see their 
strengths and gaps and help the teacher fine-
tune her teaching accordingly.
(b) Assessment is meaningful only if comparative 
evaluations of students are made.
(c) Assessment should assess not only memory but 
also understanding and application.
(d) Assessment cannot be purposeful if it does not 
induce fear and anxiety.
(1) (b) and (c) (2) (a) and (b)
(3) (b) and (d) (4) (a) and (c)
22. According to the Right to Education Act, 2009, 
children with special needs should study.
(1) at home with their parents and caregivers 
providing necessary support
(2) in special schools created exclusively for them
(3) in inclusive education setups with provisions to 
cater to their individual needs
(4) in vocational training centres which would 
prepare them for life skills
23. An effective teacher in a classroom, where students 
come from diverse backgrounds, would:
(1) push students from deprived backgrounds to 
work hard so that they can match up with their 
peers
(2) focus on their cultural knowledge to address 
individual differences among the group
(3) ignore cultural knowledge and treat all his 
students in a uniform manner
(4) create groups of students with those from the 
same economic background put together
  
24. Match the following principles of development with 
their correct descriptions:
  Principle Description
 (a) Proximodistal (i) Different children
  trend  develop at different
    rates
 (b) Cephalocaudal trend (ii) Head to toe
    sequence
 (c) Interindividual (iii) In a single child,
  differences  the rate of
    development can 
    vary from one
    domain of
    development to the
    other
 (d) Intraindividual (iv) From the centre of
  differences  body to outwards
   (v) Progression from 
    simple to complex
  (a) (b) (c) (d)
(1) (v) (ii) (i) (iii)
(2) (ii) (iv) (i) (iii)
(3) (ii) (iv) (iii) (i)
(4) (iv) (ii) (i) (iii)
25. Which of the following statements about cognition 
and emotions is correct?
(1) Cognition and emotions are intertwined and 
affect each other.
(2) Cognition and emotions are processes 
independent of each other.
(3) Cognition affects emotions but emotions do not 
affect cognition.
(4) Emotions affect cognition but cognition does not 
affect emotions.
26. In an inclusive classroom with diverse learners, 
cooperative learning and peer-tutoring.
(1) should be used only sometimes since it promotes 
comparison with classmates
(2) should be actively discouraged and competition 
should be promoted
(3) should be actively promoted to facilitate peer-
acceptance
(4) should not be practised and students should be 
segregated based on their abilities
27. A teacher can address diversity in her class by:
 (a) accepting and valuing differences
 (b) using socio-cultural background of children as a 
pedagogic resource
 (c) accommodating different learning styles
 (d) giving standard instruction and setting uniform 
benchmarks for performance
 Select the correct answer using the code given 
below.
(1) (a), (b), (c) and (d) (2) (a), (b) and (d)
(3) (b), (c) and (d) (4) (a), (b) and (c)
28. A teacher asks her class to cover sharp edges of 
furniture with cotton and use ‘T ouch and Feel‘ notice 
boards and books. The needs of which category of 
special learners is she attempting to cater to?
(1) Visually-impaired learners.
(2) Hearing-impaired learners.
(3) Learning-impaired learners.
(4) Socially disadvantaged learners.
29. Gifted children are best catered to by educational 
programmes that:
(1) make use of gifts and reward to motivate them 
to perform according to minimum standards of 
learning
(2) emphasize mastery of knowledge by recall
(3) stimulate their thinking and give them 
opportunities to engage in divergent thinking
(4) control their aggressive behaviour
30. Which of the following statements about students 
failure in schools are correct?
 (a) Students belonging to certain castes and 
communities fail since they do not have ability.
 (b) Students fail in schools because appropriate 
rewards are not offered for their learning.
 (c) Students fail because teaching is not done in a 
manner in which it is meaningful to them.
 (d) Students fail because school system does not 
cater to individual child’s needs and interests.
(1) (c) and (d) (2) (b) and (c)
(3) (b) and (c) (4) (b) and (d)
Mathematics & Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  Neeta, a class VII mathematics teacher, assigns a lot 
of survey-based projects to mathematics classroom. 
The purpose of such activity is:
A. to promote problem-solving skills
B. to give an opportunity  to students to collect 
authentic data
C. to break the monotony of the classroom
D. to use it as an alternate assessment
 Which of the above purpose are true ?
(1) A, B and C (2) A and B
(3) A and C (4) A, B and D
32. Which of the following term in mathematics is 
defined?
 (1) Point 
 (2) Line
(3) Diagonal of a quadrilateral 
(4) Plane
33. Which of the following is not an important aspect in 
‘algebra’?
(1) Visualization (2)  Measurement
(3) T ransportation (4) Generalization
34. ‘Problem posing’ in mathematics means:
(1) inability to solve problems 
(2) raising doubts in the class
(3) solving problems
(4) creating problems from the content
35. A good mathematics textbook contains a lot of:
(1) questions for exploration
(2) question for practice
(3) worked out examples
(4) theorems and proofs
  
36. Consider the following statement:
 “Every odd natural number is a prime number.”
 Which of the following methods of ’proof’ can be 
used to prove/disprove the above statement ?
(1) Method of disproof
(2) Direct proof
(3) Proof by contrapositive
(4) Proof by contradiction
37. Which of the following is not a contributing factor 
responsible for mathematics anxiety?
(1) Nature of subject (2) Gender
(3) Examination system (4) Curriculum
38. Which of the following fraction does not lie between
 -5
6
 
and
 
7
8
?
(1)
 
5
6
 
(2)
 
-17
24
(3)
 
-3
4
 
(4)
 
-11
12
39. The reciprocal of
 
3
8
4
5
23







 














 
is:
(1)
 
8
3
5
4
2
3














 
(2)
 
-9
125
 
(3)
 
125
9
 
(4)
 
9
125
40. If (13
2
 – 5
2
)
3/2
 = 6
3
 × A, then the value of A is:
(1) 2
4
 (2) 2
(3) 2
2
 (4) 2
3
41. If xy 243 867 = ,
 
where x and y are co-prime 
numbers, then the value of (x – y) is:
(1) 8 (2) 3
(3) 4 (4) 6
42. The sum of all possible values of a, for which the 
4-digit number 547a is divisible by 3 is:
(1) 15 (2) 7
(3) 10 (4) 13
43. A common factor of x
4
 – 256, x
3
 – 4x
2
 + 3x – 12 and 
x
2
 – 7x + 12 is:
(1) x – 3 (2) x + 4
(3) x – 4 (4) x + 3
44. On dividing the polynomial 8x
3
 – 6x
2
 + 10x + 3 by 
(4x + 1), the quotient 2x
2
 + k, where k is equal to:
(1) –3 + 2x (2) 3 – 2x
(3) 3 + 2x (4) –3 – 2x
45. In the product of (9x
2
 + 15 – x) and  (–1 – x + x
2
), 
if A, B and C are the coefficients of x
3
, x
2
 and x 
respectively, then the value of (A + B – C) is:
(1)  14 (2) –3
(3) –17 (4) 11
46. When x =
1
9
 
and
 
y
3
4
, then the value of 
expression 81x
2
 + 16y
2
 – 72xy:
(1) 
9
16
 
(2) 25
(3) 16 (4) 
9
4
47. Abhi is twice as old as his daughter. Five years  ago, 
his age was  four times his daughter’s age. If the 
present age of this daughter is x years, then : 
(1) 2(x – 5) = 4 (2x + 5) (2) 2(x – 5) = 4(2x – 5)
(3) 4(x – 5) = 2x – 5 (4) 4(x + 5) = 2(2x – 5)
48. A sum of ` 6,250 at 8% per annum, compounded 
annually, after
 
2
3
4
 
years amounts to:
(1) ` 7,872.60 (2) ` 7,165.60
(3) ` 7,581.40 (4) ` 7,727.40
49. A person marks his goods 40% above the cost price 
and allows 40% discount on the marked  price. His 
loss/gain percent is: 
(1) No loss/gain (2) loss, 8%
(3) gain, 10% (4) loss, 16%
50. The angles of a quadrilateral are in  the ratio 2 : 3 : 5 
: 8. The sum of the supplement of the largest angle 
and the complement  of the smallest angle is:
(1) 80° (2) 50°
(3) 60° (4) 70°
51. Two sides of a right angled triangle measure 15 cm 
and 17 cm. Which of the following statements can be 
true for the length of the third  side of the triangle?
A. It is between 4 cm and 7 cm.
B. It is between 20 cm and 27 cm.
C. It is less than  10 cm.
(1) A and C only (2) B only
(3) A and B only (4) B and C only
52. If one angle of a triangle is 110°, then the angle 
between  the bisectors of the other two angles 
measures:
(1) 145° (2) 90°
(3) 100° (4) 110°
53. In  D ABC, AB = 4 cm, AC = 5 cm and BC = 6 cm. 
In D PQR, PR = 4 cm,  PQ = 5 cm and RQ = 6 cm. 
D ABC is congruent to :
(1) D RPQ (2) D PQR
(3) D PRQ (4) D QRP 
54. A tank is in the form of a cuboid. It holds a maximum 
of 540 m
3
 water. If the tank is 8 m long and 15 m 
wide,  then how many metres  deep must the water 
be when the tank  is
 
2
3
 
full?
(1) 4.5 (2) 2
(3) 2.5 (4) 3
55. The ratio of the areas of two equilateral triangles is 
16 : 9. If the perimeter of the smaller triangle is 63 
cm, then  how much larger  is a side of the larger 
triangle than a side of the smaller triangle ?
(1) 7 cm (2) 3 cm
(3) 4 cm (4) 5 cm
56. The area of a triangle is equal to the area  of a circle 
whose perimeter is 6p cm. If the base of the triangle 
is 8 cm, then its corresponding height (in cm) is:
(1) 2.25 (2) p
(3) 2 (4) 2.25p
57. The mean of mode, median and range of the data:
 2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4 is:
(1) 9 (2) 4
(3) 6 (4) 7
  
58. Some students of your class  are repeatedly not able 
to do well  in mathematics examinations and tests. 
As a teacher  you would:
(1) explain  the consequences of not doing well 
(2) give more tests for practice
(3) diagnose the causes and take steps for 
remediation
(4) make them  sit with high  achievers
59. In an inclusive mathematics classroom, what would  
be your strategy for addressing the needs of visually 
challenged learners?
(1) Design alternate teaching-learning and 
assessment methods.
(2) Send the learners to a special educator.
(3) Offer them another subject in lieu of mathematics.
(4) Pair them with high scorers in mathematics.
60. Which of the following assessment strategies can 
be used to assess learners’ interest in an attitude to 
mathematics?
(1) Oral tests, Paper-pencil test, Class participation
(2) Checklist, Portfolio, Paper-pencil test
(3) Checklist, Portfolio, Project, Class participation
(4) Portfolio, Project, Paper-pencil test
61. Which of the following is not a purpose of conducting 
practicals/experimental activities in science?
(1) They help in scoring high grades or marks.
(2) They enhance understanding of science ideas.
(3) They provide an opportunity for problem 
solving. 
(4) They help in developing manipulative skills.
62. A few small wax pieces are fixed at nearly equal 
distances on a flat strip of aluminium. One end of 
the strip is clamped to a stand and the other end is 
heated. Consider the following statements A and B:
A. Wax pieces begin to fall one-by-one in the order 
of their increasing distance from the flame.
B. Aluminium strip transfers heat from the end 
nearest to the flame to the other end.
 Of the two  statements given above:
(1) Both A and B are inferences 
(2) A is observation and B is inference
(3) B is observation and A is inference 
(4) Both A and B are observation
63. The students of Class-VII are asked the following 
question by a teacher:
 “Two identical cubes of ice are taken out of 
refrigerator. One is crushed and the other is left as 
it is. It is noticed that the crushed ice melts faster. 
What could be the reason?
 Which process skill is promoted through this 
question?
(1) Experimentation (2) Observation
(3) Hypothesizing (4) Controlling variables
64. A teacher of Class-VII  demonstrates the following  
activity in the class:
 “ A leaf is put in a test tube and spirit is poured over 
it. Then the test tube is put in beaker half-filled with 
water and heated till the leaf is discoloured. The 
leaf is then taken out and a few drops of iodine is 
poured on it. The leaf turns blue-black  in colour.”
 After this activity, the teacher gives  some questions 
for the assessment of various indicators of learning.
 Which of the following would assess ‘analysis’?
(1) What precaution is taken to prevent damage  to 
the leaf? 
(2) What precaution is taken  while pouring spirit 
into the test tube?
(3) What happens to the colour of the leaf when 
solution is poured on it? 
(4) Can this test be done without removing 
chlorophyll?
65. You want your Class VI students to figure out 
that  the property  of solubility of salt in water can 
be used to separate a mixture of sand and salt. As 
a supporter of inquiry-oriented pedagogy,  you 
would:
(1) provide the mixture of sand and salt to students, 
ask them to think up different ways of separation 
and help them in trying out their  ideas  
(2) explain  different methods of separation of 
mixtures first and explain  the separation of sand 
and salt mixture
(3) ask students to hypothesize different ways 
in which  a mixture of sand and salt can be 
separated and lead them to the correct answer  
through detailed explanations 
(4) take a mixture  of sand  and salt, demonstrate its 
separation and then ask students  to repeat it on 
their own
66. Which among the following statement describes the 
relationship  between  science and technology?
(1) Science is a broader endeavour while technology 
is goal-oriented  and often  locale-specific. 
(2) Technology is a more creative process as 
compared to science.
(3) Science is an ancient enterprise but technology is 
relatively recent. 
(4) Science and technology proceed independently 
and in isolation from each other.
67. Which among the following is not a single flower 
but a group of flowers?  
(1) Datura (2) Rose
(3) China rose (4) Sunflower
68. A bicycle is moving on a straight  road at a constant 
speed. The wheels of the cycle exhibit:
(1) circular, translation and periodic motion.
(2) circular and translational motion.
(3) translational and periodic motion.
(4) circular and periodic motion.
69. Suppose you are a farmer living at a place having 
black soil. If the climate of your region is warm  and 
you want to grow fibre-yielding  plants in your fields, 
then which of the following  would you prefer?
(1) Rayon (2) Coconut
(3) Jute (4) Cotton
70. Choose the odd one out.
(1) Embryo (2) Egg
(3) Ovum (4) Gamete
71. The function of saliva is to:
(1) convert starch into sugars.
(2) prevent the food from entering  the windpipe.
(3) convert  carbohydrates into proteins.
(4) convert starch into fat.