CTET Solved Question Paper - 2 (16 Feb - 2014) | 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 of the following figure correctly represents 
the development according to Piaget’s development 
theory?
(1)  (2) 
   
(3)  (4) 
   
2. A teacher found that a student is facing difficulty in 
drawing a square. He/She assumes that this student 
would also find it difficult to draw a diamond. He/
She applies which of the following principles to 
arrive at his/her assumption?
(1) Development tends to follow an orderly sequence.
(2) Development is saltatory.
(3) Development is gradual.
(4) Development is different for different people.
3. Which one of the following statements is TRUE 
regarding the role of heredity and environment in 
human development?
(1) The role of environment is almost fixed, whereas 
the impact of heredity can be altered.
(2) The theories based on the ‘behaviourism‘ are 
largely based on the role of ‘nature‘ in human 
development.
(3) The relative effects of heredity and environment 
vary in different areas of development.
(4) The policy of compensatory discrimination of 
the government of India is based on the role of 
‘nature‘ in human development.
4. In the context of socialization, schools often have a 
hidden curriculum which consists of:
(1) forcible learning, thinking and behaving in 
particular ways by imitating peers and teachers
(2) the informal cues about social roles presented in 
school through interaction and materials
(3) negotiating and resisting socialization of students 
through their families
(4) teaching and assessment of values and attitudes
5. Which of the following implications CANNOT be 
derived from Piaget’s theory of cognitive development?
(1) Sensitivity to children’s readiness to learn.
(2) Acceptance of individual differences.
(3) Discovery learning.
(4) Need of verbal teaching.
6. Which of the following is a characteristic of Kohlberg’s 
stages of moral development?
(1) A variable sequence of stages.
(2) Stages are isolated responses and not general 
pattern.
(3) Universal sequences of stages across all cultures.
(4) Stages proceed in a non-hierarchic manner.
7. Teachers and students draw on one another’s 
expertise while working on complex projects related 
to real-world problems in __________ classroom.
(1) traditional (2) constructivist
(3) teacher-centric (4) social-constructivist
8. In the context of progressive education, the term 
‘equal educational opportunity‘ implies that all 
students should:
(1) receive equal education irrespective of their 
caste, creed, colour, region and religion
(2) be allowed to prove their capability after 
receiving an equal education
(3) be provided an education by using the same 
methods and materials without any distinction
(4) be provided an education which is most 
appropriate to them and their future life at work
9. In the context of language development, which of 
the following areas was underestimated by Piaget?
(1) Heredity
(2) Social interaction
(3) Egocentric speech
(4) Active construction by the child
10. An eleven-year-old child’s score on Stanford Binet 
Intelligence scale is 130. By assuming m = 100 and 
s = 15 in a normal probability curve, calculate the 
percentage of 11-year-old children this child has 
scored better than.
(1) 98% (2) 88%
(3) 78% (4) 80%
11. Which of the following observations supports 
Howard Gardner’s theory of multiple intelligences?
(1) Damage to one part of the brain affects only a 
particular ability sparing others.
(2) Intelligence is an interaction of analytical, 
creative and practical intelligences.
(3) Different intelligences are hierarchical in nature.
(4) Teachers should follow one specific theory of 
educational innovation at the time of designing 
instruction.
CTET SOLVED PAPER S
Paper - 2 (Mathematics & Science)
1 6 t h Fe b r u a r y, 20 1 4
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 of the following figure correctly represents 
the development according to Piaget’s development 
theory?
(1)  (2) 
   
(3)  (4) 
   
2. A teacher found that a student is facing difficulty in 
drawing a square. He/She assumes that this student 
would also find it difficult to draw a diamond. He/
She applies which of the following principles to 
arrive at his/her assumption?
(1) Development tends to follow an orderly sequence.
(2) Development is saltatory.
(3) Development is gradual.
(4) Development is different for different people.
3. Which one of the following statements is TRUE 
regarding the role of heredity and environment in 
human development?
(1) The role of environment is almost fixed, whereas 
the impact of heredity can be altered.
(2) The theories based on the ‘behaviourism‘ are 
largely based on the role of ‘nature‘ in human 
development.
(3) The relative effects of heredity and environment 
vary in different areas of development.
(4) The policy of compensatory discrimination of 
the government of India is based on the role of 
‘nature‘ in human development.
4. In the context of socialization, schools often have a 
hidden curriculum which consists of:
(1) forcible learning, thinking and behaving in 
particular ways by imitating peers and teachers
(2) the informal cues about social roles presented in 
school through interaction and materials
(3) negotiating and resisting socialization of students 
through their families
(4) teaching and assessment of values and attitudes
5. Which of the following implications CANNOT be 
derived from Piaget’s theory of cognitive development?
(1) Sensitivity to children’s readiness to learn.
(2) Acceptance of individual differences.
(3) Discovery learning.
(4) Need of verbal teaching.
6. Which of the following is a characteristic of Kohlberg’s 
stages of moral development?
(1) A variable sequence of stages.
(2) Stages are isolated responses and not general 
pattern.
(3) Universal sequences of stages across all cultures.
(4) Stages proceed in a non-hierarchic manner.
7. Teachers and students draw on one another’s 
expertise while working on complex projects related 
to real-world problems in __________ classroom.
(1) traditional (2) constructivist
(3) teacher-centric (4) social-constructivist
8. In the context of progressive education, the term 
‘equal educational opportunity‘ implies that all 
students should:
(1) receive equal education irrespective of their 
caste, creed, colour, region and religion
(2) be allowed to prove their capability after 
receiving an equal education
(3) be provided an education by using the same 
methods and materials without any distinction
(4) be provided an education which is most 
appropriate to them and their future life at work
9. In the context of language development, which of 
the following areas was underestimated by Piaget?
(1) Heredity
(2) Social interaction
(3) Egocentric speech
(4) Active construction by the child
10. An eleven-year-old child’s score on Stanford Binet 
Intelligence scale is 130. By assuming m = 100 and 
s = 15 in a normal probability curve, calculate the 
percentage of 11-year-old children this child has 
scored better than.
(1) 98% (2) 88%
(3) 78% (4) 80%
11. Which of the following observations supports 
Howard Gardner’s theory of multiple intelligences?
(1) Damage to one part of the brain affects only a 
particular ability sparing others.
(2) Intelligence is an interaction of analytical, 
creative and practical intelligences.
(3) Different intelligences are hierarchical in nature.
(4) Teachers should follow one specific theory of 
educational innovation at the time of designing 
instruction.
CTET SOLVED PAPER S
Paper - 2 (Mathematics & Science)
1 6 t h Fe b r u a r y, 20 1 4
  
12. Which one of the following statements is true about 
ability and ability grouping?
(1) Students learn better in homogeneous groups.
(2) For smooth and effective teaching, class should 
be homogeneous.
(3) Children are intolerant and do not accept 
differences.
(4) Teachers may use multilevel teaching to cater to 
different ability groups.
13. Which one of the following statements is true?
(1) The formative assessment can sometimes be 
summative assessment and vice versa.
(2) The summative assessment implies that 
assessment is a continuous and integral part of 
learning.
(3) The major objective of the formative assessment 
is to grade the achievement of students.
(4) The formative assessment summarizes the 
development of learners during a time interval.
14. A teacher asks his/her students to draw a concept 
map to reflect their comprehension of a topic. He/
She is:
(1) jogging the memory of the students
(2) conducting formative assessment
(3) testing the ability of the students to summarize 
the main points
(4) trying to develop rubrics to evaluate the 
achievement of the students
15. Which one of the following represents the domain 
‘evaluating‘ in the Bloom’s revised taxonomy?
(1) Creating a graph or chart using the data.
(2) Judging the logical consistency of a solution.
(3) Evaluating the pertinence of the data provided.
(4) Formulating a new way for categorizing objects.
16. Teachers must believe in which of the following 
values in the context of dealing with disadvantaged 
learners?
(1) Personal accountability for students’ success.
(2) High expectations of appropriate behaviour.
(3) No demands of any sort on the student.
(4) For immediate compliance of students, use of 
being shocked and angry.
17. Stuttering problems in students can be dealt with by 
applying which of the following methods?
(1) Dictated speech (2) Prolonged speech
(3) Pragmatic speech (4) Protracted speech
18. In the context of learning-disabled children, providing 
immediate connections, stressing collaboration and 
leveraging non-learning technologies such as instant 
messaging intelligent search and content management 
are associated with which of the following designs?
(1) Embedded learning
(2) Interventionist learning
(3) Reply to remediation
(4) Universal design for learning
19. An inclusive classroom is that where:
(1) assessments are repeated till the time every 
learner achieves minimum grades
(2) teachers teach from only prescribed books to 
lessen the burden of the students
(3) there is an active involvement of children in 
solving as many problems as possible
(4) teachers create diverse and meaningful learning 
experiences for every learner
20. Which one of the following is an appropriate 
assignment for a gifted student?
(1) Many more exercises of the same type in 
comparison to other students.
(2) Asking him/her to tutor the peers to channelize 
the energy and keep him/her busy.
(3) Create a prototype of a new science book based 
on different themes.
(4) Letting him/her finish the textbook on his/her 
own before the entire class.
21. Many measures have been taken at institutional 
level to check the dropout cases in the schools run 
by government agencies. Which of the following is 
an institutional reason for children dropping out of 
these schools?
(1) There is a lack of infrastructure, such as 
blackboards and toilets.
(2) T eachers are not having appropriate qualifications 
and are paid lesser salaries.
(3) Teachers have not been sensitized about the 
need of treating children well.
(4) There is no alternative curriculum for children 
who reject the compulsory curriculum offered.
22. Learning disabilities are:
(1) objective facts and culture has no role in 
determining them
(2) synonymous with dyslexia
(3) also present in children with average or above-
average IQ
(4) not immutable irrespective of time and nature of 
interventions
23. Problem-solving is more likely to succeed in schools 
where:
(1) a flexible curriculum is in place
(2) homogeneous groups of students are present in 
the classes
(3) the emphasis is only on higher-order academic 
achievement
(4) teacher-centric pedagogy is in effect
24. Cognitive apprenticeships and instructional 
conversations:
(1) conceive learning as a social activity
(2) are based on application of inductive reasoning
(3) emphasize on systematic organization of textual 
material
(4) highlight the need of practical training to achieve 
efficiency
25. Which of the following should be the right way for 
a teacher who intends to correct errors of his/her 
students?
(1) He/She must correct every error of his/her 
students even if it requires late sitting in the 
school.
(2) He/She should correct less-frequent errors more 
often than high-frequent and generality errors.
(3) He/She should correct errors that interfere with 
the general meaning and understandability.
(4) He/She should not correct errors if it irritates 
children.
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 of the following figure correctly represents 
the development according to Piaget’s development 
theory?
(1)  (2) 
   
(3)  (4) 
   
2. A teacher found that a student is facing difficulty in 
drawing a square. He/She assumes that this student 
would also find it difficult to draw a diamond. He/
She applies which of the following principles to 
arrive at his/her assumption?
(1) Development tends to follow an orderly sequence.
(2) Development is saltatory.
(3) Development is gradual.
(4) Development is different for different people.
3. Which one of the following statements is TRUE 
regarding the role of heredity and environment in 
human development?
(1) The role of environment is almost fixed, whereas 
the impact of heredity can be altered.
(2) The theories based on the ‘behaviourism‘ are 
largely based on the role of ‘nature‘ in human 
development.
(3) The relative effects of heredity and environment 
vary in different areas of development.
(4) The policy of compensatory discrimination of 
the government of India is based on the role of 
‘nature‘ in human development.
4. In the context of socialization, schools often have a 
hidden curriculum which consists of:
(1) forcible learning, thinking and behaving in 
particular ways by imitating peers and teachers
(2) the informal cues about social roles presented in 
school through interaction and materials
(3) negotiating and resisting socialization of students 
through their families
(4) teaching and assessment of values and attitudes
5. Which of the following implications CANNOT be 
derived from Piaget’s theory of cognitive development?
(1) Sensitivity to children’s readiness to learn.
(2) Acceptance of individual differences.
(3) Discovery learning.
(4) Need of verbal teaching.
6. Which of the following is a characteristic of Kohlberg’s 
stages of moral development?
(1) A variable sequence of stages.
(2) Stages are isolated responses and not general 
pattern.
(3) Universal sequences of stages across all cultures.
(4) Stages proceed in a non-hierarchic manner.
7. Teachers and students draw on one another’s 
expertise while working on complex projects related 
to real-world problems in __________ classroom.
(1) traditional (2) constructivist
(3) teacher-centric (4) social-constructivist
8. In the context of progressive education, the term 
‘equal educational opportunity‘ implies that all 
students should:
(1) receive equal education irrespective of their 
caste, creed, colour, region and religion
(2) be allowed to prove their capability after 
receiving an equal education
(3) be provided an education by using the same 
methods and materials without any distinction
(4) be provided an education which is most 
appropriate to them and their future life at work
9. In the context of language development, which of 
the following areas was underestimated by Piaget?
(1) Heredity
(2) Social interaction
(3) Egocentric speech
(4) Active construction by the child
10. An eleven-year-old child’s score on Stanford Binet 
Intelligence scale is 130. By assuming m = 100 and 
s = 15 in a normal probability curve, calculate the 
percentage of 11-year-old children this child has 
scored better than.
(1) 98% (2) 88%
(3) 78% (4) 80%
11. Which of the following observations supports 
Howard Gardner’s theory of multiple intelligences?
(1) Damage to one part of the brain affects only a 
particular ability sparing others.
(2) Intelligence is an interaction of analytical, 
creative and practical intelligences.
(3) Different intelligences are hierarchical in nature.
(4) Teachers should follow one specific theory of 
educational innovation at the time of designing 
instruction.
CTET SOLVED PAPER S
Paper - 2 (Mathematics & Science)
1 6 t h Fe b r u a r y, 20 1 4
  
12. Which one of the following statements is true about 
ability and ability grouping?
(1) Students learn better in homogeneous groups.
(2) For smooth and effective teaching, class should 
be homogeneous.
(3) Children are intolerant and do not accept 
differences.
(4) Teachers may use multilevel teaching to cater to 
different ability groups.
13. Which one of the following statements is true?
(1) The formative assessment can sometimes be 
summative assessment and vice versa.
(2) The summative assessment implies that 
assessment is a continuous and integral part of 
learning.
(3) The major objective of the formative assessment 
is to grade the achievement of students.
(4) The formative assessment summarizes the 
development of learners during a time interval.
14. A teacher asks his/her students to draw a concept 
map to reflect their comprehension of a topic. He/
She is:
(1) jogging the memory of the students
(2) conducting formative assessment
(3) testing the ability of the students to summarize 
the main points
(4) trying to develop rubrics to evaluate the 
achievement of the students
15. Which one of the following represents the domain 
‘evaluating‘ in the Bloom’s revised taxonomy?
(1) Creating a graph or chart using the data.
(2) Judging the logical consistency of a solution.
(3) Evaluating the pertinence of the data provided.
(4) Formulating a new way for categorizing objects.
16. Teachers must believe in which of the following 
values in the context of dealing with disadvantaged 
learners?
(1) Personal accountability for students’ success.
(2) High expectations of appropriate behaviour.
(3) No demands of any sort on the student.
(4) For immediate compliance of students, use of 
being shocked and angry.
17. Stuttering problems in students can be dealt with by 
applying which of the following methods?
(1) Dictated speech (2) Prolonged speech
(3) Pragmatic speech (4) Protracted speech
18. In the context of learning-disabled children, providing 
immediate connections, stressing collaboration and 
leveraging non-learning technologies such as instant 
messaging intelligent search and content management 
are associated with which of the following designs?
(1) Embedded learning
(2) Interventionist learning
(3) Reply to remediation
(4) Universal design for learning
19. An inclusive classroom is that where:
(1) assessments are repeated till the time every 
learner achieves minimum grades
(2) teachers teach from only prescribed books to 
lessen the burden of the students
(3) there is an active involvement of children in 
solving as many problems as possible
(4) teachers create diverse and meaningful learning 
experiences for every learner
20. Which one of the following is an appropriate 
assignment for a gifted student?
(1) Many more exercises of the same type in 
comparison to other students.
(2) Asking him/her to tutor the peers to channelize 
the energy and keep him/her busy.
(3) Create a prototype of a new science book based 
on different themes.
(4) Letting him/her finish the textbook on his/her 
own before the entire class.
21. Many measures have been taken at institutional 
level to check the dropout cases in the schools run 
by government agencies. Which of the following is 
an institutional reason for children dropping out of 
these schools?
(1) There is a lack of infrastructure, such as 
blackboards and toilets.
(2) T eachers are not having appropriate qualifications 
and are paid lesser salaries.
(3) Teachers have not been sensitized about the 
need of treating children well.
(4) There is no alternative curriculum for children 
who reject the compulsory curriculum offered.
22. Learning disabilities are:
(1) objective facts and culture has no role in 
determining them
(2) synonymous with dyslexia
(3) also present in children with average or above-
average IQ
(4) not immutable irrespective of time and nature of 
interventions
23. Problem-solving is more likely to succeed in schools 
where:
(1) a flexible curriculum is in place
(2) homogeneous groups of students are present in 
the classes
(3) the emphasis is only on higher-order academic 
achievement
(4) teacher-centric pedagogy is in effect
24. Cognitive apprenticeships and instructional 
conversations:
(1) conceive learning as a social activity
(2) are based on application of inductive reasoning
(3) emphasize on systematic organization of textual 
material
(4) highlight the need of practical training to achieve 
efficiency
25. Which of the following should be the right way for 
a teacher who intends to correct errors of his/her 
students?
(1) He/She must correct every error of his/her 
students even if it requires late sitting in the 
school.
(2) He/She should correct less-frequent errors more 
often than high-frequent and generality errors.
(3) He/She should correct errors that interfere with 
the general meaning and understandability.
(4) He/She should not correct errors if it irritates 
children.
  
26. The following skills are involved in emotional 
intelligence, except:
(1) awareness of emotions
(2) management of emotions
(3) criticism of emotions
(4) amicable relation with class fellows
27. While appearing in an assessment, Devika finds 
her arousal as energizing, whereas Rajesh finds his 
arousal as discouraging. Their emotional experiences 
are most likely to differ with respect to:
(1) the duration of time
(2) the extremity of emotion
(3) the level of adaptation
(4) the intensity of thought
28. The government of India has started midday meal 
scheme for the elementary schools. Which of the 
following theories of motivation supports this 
scheme?
(1) Behaviourist (2) Socio-cultural
(3) Cognitive (4) Humanistic
29. Attaching importance to the home setting of students 
for understanding children’s behaviour and using 
this information for building effective pedagogy 
is related to which of the following theories of 
learning?
(1) Behaviourist (2) Ecological
(3) Constructivist (4) Social-constructivist
30. Which of the following may be the best way to deal 
with an inattentive child in the classroom?
(1) Nag the child as frequently in front of the class 
to make her/him realize.
(2) Make the child sit in the most distraction-
reduced area.
(3) Allow the child to stand while working so as to 
enable the child to focus attention.
(4) Provide the child frequent breaks to refresh her/
his attention.
Mathematics and Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  The value of 0.001 + 1.01 + 0.11 is:
(1) 1.111 (2) 1.101
(3) 1.013 (4) 1.121
32. In 1999, the population of a country was 30.3 million. 
The number which is the same as 30.3 million is:
(1) 303000000 (2) 30300000
(3) 3030000 (4) 3030000000
33. If a
3
 = 1 + 7, 3
3
 = 1 + 7 + b and 4
3
 = 1 + 7 + c, 
where a, b and c are different positive integers, then 
the value of a + b + c is:
(1) 58 (2) 68
(3) 77 (4) 79
34. We call a number perfect if it is the sum of all its 
positive divisors, except itself. For example, 28 is 
a perfect number because 28 = 1 + 2 + 4 + 7 + 
14. Which of the following numbers is a perfect 
number?
(1) 13 (2) 10
(3) 9 (4) 6
35. Which of the following numbers is a perfect square?
(1) 548543213 (2) 548543215
(3) 548543251 (4) 548543241
36. The product of two whole numbers is 24. The 
smallest possible sum of these numbers is:
(1) 8 (2) 9
(3) 10 (4) 12
37. The value of
 
33 16
32
502 500
500


 
is:
(1) 2 (2) 4
(3) 8 (4) 16
38. If 800880 = 8 × 10
x
 + 8 × 10
y
 + 8 × 10
z
 where x, y 
and z are whole numbers, then the value of x + y + 
z is:
(1) 11 (2) 8
(3) 6 (4) 5
39. One factor of x
4
 + x
2
 + 1 is:
(1) x
2
 + 1 (2) x
2
 + x – 1
(3) x
2
 – x + 1 (4) x
2
 – x – 1 
40. The scale of a map is given as 1 : 10000. On the map, 
a forest occupies a rectangular region measuring 10 
cm × 100 cm. The actual area of the forest, in km
2
, 
is:
(1) 1000 (2) 100
(3) 10 (4) 1
41. A fraction is equivalent to
 
5
8
. Its denominator and 
numerator add up to 91. What is the difference 
between the denominator and numerator of this 
fraction?
(1) 3 (2) 13
(3) 19 (4) 21
42. The number n is doubled and then y is added to 
it. The result is then divided by 2 and the original 
number n is subtracted from it. The final result is:
(1) y (2)
 
y
2
(3) n + y (4)
 
ny +
2
43. A polyhedron has 6 faces and 8 vertices. How many 
edges does it have?
(1) 10 (2) 12
(3) 14 (4) 15
44. If
  1957
  – a9 
  18b8 
 the sum of the digits a and b is:
(1) 15 (2) 14
(3) 13 (4) 12
45. Forty-two cubes each of side 1 cm are glued together 
to form a solid cuboid. If the perimeter of the base of 
the cuboid is 18 cm, then its height, in cm, is:
(1) 1 (2) 2
(3) 3 (4) 4
46. In DPQR, PQ = 4 cm, PR = 6 cm and QR = 3 cm. 
Which of the following is correct?
(1) ?R > ?Q
 
(2) ?Q > ?R
(3) ?Q = ?R (4) ?R < ?P
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 of the following figure correctly represents 
the development according to Piaget’s development 
theory?
(1)  (2) 
   
(3)  (4) 
   
2. A teacher found that a student is facing difficulty in 
drawing a square. He/She assumes that this student 
would also find it difficult to draw a diamond. He/
She applies which of the following principles to 
arrive at his/her assumption?
(1) Development tends to follow an orderly sequence.
(2) Development is saltatory.
(3) Development is gradual.
(4) Development is different for different people.
3. Which one of the following statements is TRUE 
regarding the role of heredity and environment in 
human development?
(1) The role of environment is almost fixed, whereas 
the impact of heredity can be altered.
(2) The theories based on the ‘behaviourism‘ are 
largely based on the role of ‘nature‘ in human 
development.
(3) The relative effects of heredity and environment 
vary in different areas of development.
(4) The policy of compensatory discrimination of 
the government of India is based on the role of 
‘nature‘ in human development.
4. In the context of socialization, schools often have a 
hidden curriculum which consists of:
(1) forcible learning, thinking and behaving in 
particular ways by imitating peers and teachers
(2) the informal cues about social roles presented in 
school through interaction and materials
(3) negotiating and resisting socialization of students 
through their families
(4) teaching and assessment of values and attitudes
5. Which of the following implications CANNOT be 
derived from Piaget’s theory of cognitive development?
(1) Sensitivity to children’s readiness to learn.
(2) Acceptance of individual differences.
(3) Discovery learning.
(4) Need of verbal teaching.
6. Which of the following is a characteristic of Kohlberg’s 
stages of moral development?
(1) A variable sequence of stages.
(2) Stages are isolated responses and not general 
pattern.
(3) Universal sequences of stages across all cultures.
(4) Stages proceed in a non-hierarchic manner.
7. Teachers and students draw on one another’s 
expertise while working on complex projects related 
to real-world problems in __________ classroom.
(1) traditional (2) constructivist
(3) teacher-centric (4) social-constructivist
8. In the context of progressive education, the term 
‘equal educational opportunity‘ implies that all 
students should:
(1) receive equal education irrespective of their 
caste, creed, colour, region and religion
(2) be allowed to prove their capability after 
receiving an equal education
(3) be provided an education by using the same 
methods and materials without any distinction
(4) be provided an education which is most 
appropriate to them and their future life at work
9. In the context of language development, which of 
the following areas was underestimated by Piaget?
(1) Heredity
(2) Social interaction
(3) Egocentric speech
(4) Active construction by the child
10. An eleven-year-old child’s score on Stanford Binet 
Intelligence scale is 130. By assuming m = 100 and 
s = 15 in a normal probability curve, calculate the 
percentage of 11-year-old children this child has 
scored better than.
(1) 98% (2) 88%
(3) 78% (4) 80%
11. Which of the following observations supports 
Howard Gardner’s theory of multiple intelligences?
(1) Damage to one part of the brain affects only a 
particular ability sparing others.
(2) Intelligence is an interaction of analytical, 
creative and practical intelligences.
(3) Different intelligences are hierarchical in nature.
(4) Teachers should follow one specific theory of 
educational innovation at the time of designing 
instruction.
CTET SOLVED PAPER S
Paper - 2 (Mathematics & Science)
1 6 t h Fe b r u a r y, 20 1 4
  
12. Which one of the following statements is true about 
ability and ability grouping?
(1) Students learn better in homogeneous groups.
(2) For smooth and effective teaching, class should 
be homogeneous.
(3) Children are intolerant and do not accept 
differences.
(4) Teachers may use multilevel teaching to cater to 
different ability groups.
13. Which one of the following statements is true?
(1) The formative assessment can sometimes be 
summative assessment and vice versa.
(2) The summative assessment implies that 
assessment is a continuous and integral part of 
learning.
(3) The major objective of the formative assessment 
is to grade the achievement of students.
(4) The formative assessment summarizes the 
development of learners during a time interval.
14. A teacher asks his/her students to draw a concept 
map to reflect their comprehension of a topic. He/
She is:
(1) jogging the memory of the students
(2) conducting formative assessment
(3) testing the ability of the students to summarize 
the main points
(4) trying to develop rubrics to evaluate the 
achievement of the students
15. Which one of the following represents the domain 
‘evaluating‘ in the Bloom’s revised taxonomy?
(1) Creating a graph or chart using the data.
(2) Judging the logical consistency of a solution.
(3) Evaluating the pertinence of the data provided.
(4) Formulating a new way for categorizing objects.
16. Teachers must believe in which of the following 
values in the context of dealing with disadvantaged 
learners?
(1) Personal accountability for students’ success.
(2) High expectations of appropriate behaviour.
(3) No demands of any sort on the student.
(4) For immediate compliance of students, use of 
being shocked and angry.
17. Stuttering problems in students can be dealt with by 
applying which of the following methods?
(1) Dictated speech (2) Prolonged speech
(3) Pragmatic speech (4) Protracted speech
18. In the context of learning-disabled children, providing 
immediate connections, stressing collaboration and 
leveraging non-learning technologies such as instant 
messaging intelligent search and content management 
are associated with which of the following designs?
(1) Embedded learning
(2) Interventionist learning
(3) Reply to remediation
(4) Universal design for learning
19. An inclusive classroom is that where:
(1) assessments are repeated till the time every 
learner achieves minimum grades
(2) teachers teach from only prescribed books to 
lessen the burden of the students
(3) there is an active involvement of children in 
solving as many problems as possible
(4) teachers create diverse and meaningful learning 
experiences for every learner
20. Which one of the following is an appropriate 
assignment for a gifted student?
(1) Many more exercises of the same type in 
comparison to other students.
(2) Asking him/her to tutor the peers to channelize 
the energy and keep him/her busy.
(3) Create a prototype of a new science book based 
on different themes.
(4) Letting him/her finish the textbook on his/her 
own before the entire class.
21. Many measures have been taken at institutional 
level to check the dropout cases in the schools run 
by government agencies. Which of the following is 
an institutional reason for children dropping out of 
these schools?
(1) There is a lack of infrastructure, such as 
blackboards and toilets.
(2) T eachers are not having appropriate qualifications 
and are paid lesser salaries.
(3) Teachers have not been sensitized about the 
need of treating children well.
(4) There is no alternative curriculum for children 
who reject the compulsory curriculum offered.
22. Learning disabilities are:
(1) objective facts and culture has no role in 
determining them
(2) synonymous with dyslexia
(3) also present in children with average or above-
average IQ
(4) not immutable irrespective of time and nature of 
interventions
23. Problem-solving is more likely to succeed in schools 
where:
(1) a flexible curriculum is in place
(2) homogeneous groups of students are present in 
the classes
(3) the emphasis is only on higher-order academic 
achievement
(4) teacher-centric pedagogy is in effect
24. Cognitive apprenticeships and instructional 
conversations:
(1) conceive learning as a social activity
(2) are based on application of inductive reasoning
(3) emphasize on systematic organization of textual 
material
(4) highlight the need of practical training to achieve 
efficiency
25. Which of the following should be the right way for 
a teacher who intends to correct errors of his/her 
students?
(1) He/She must correct every error of his/her 
students even if it requires late sitting in the 
school.
(2) He/She should correct less-frequent errors more 
often than high-frequent and generality errors.
(3) He/She should correct errors that interfere with 
the general meaning and understandability.
(4) He/She should not correct errors if it irritates 
children.
  
26. The following skills are involved in emotional 
intelligence, except:
(1) awareness of emotions
(2) management of emotions
(3) criticism of emotions
(4) amicable relation with class fellows
27. While appearing in an assessment, Devika finds 
her arousal as energizing, whereas Rajesh finds his 
arousal as discouraging. Their emotional experiences 
are most likely to differ with respect to:
(1) the duration of time
(2) the extremity of emotion
(3) the level of adaptation
(4) the intensity of thought
28. The government of India has started midday meal 
scheme for the elementary schools. Which of the 
following theories of motivation supports this 
scheme?
(1) Behaviourist (2) Socio-cultural
(3) Cognitive (4) Humanistic
29. Attaching importance to the home setting of students 
for understanding children’s behaviour and using 
this information for building effective pedagogy 
is related to which of the following theories of 
learning?
(1) Behaviourist (2) Ecological
(3) Constructivist (4) Social-constructivist
30. Which of the following may be the best way to deal 
with an inattentive child in the classroom?
(1) Nag the child as frequently in front of the class 
to make her/him realize.
(2) Make the child sit in the most distraction-
reduced area.
(3) Allow the child to stand while working so as to 
enable the child to focus attention.
(4) Provide the child frequent breaks to refresh her/
his attention.
Mathematics and Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  The value of 0.001 + 1.01 + 0.11 is:
(1) 1.111 (2) 1.101
(3) 1.013 (4) 1.121
32. In 1999, the population of a country was 30.3 million. 
The number which is the same as 30.3 million is:
(1) 303000000 (2) 30300000
(3) 3030000 (4) 3030000000
33. If a
3
 = 1 + 7, 3
3
 = 1 + 7 + b and 4
3
 = 1 + 7 + c, 
where a, b and c are different positive integers, then 
the value of a + b + c is:
(1) 58 (2) 68
(3) 77 (4) 79
34. We call a number perfect if it is the sum of all its 
positive divisors, except itself. For example, 28 is 
a perfect number because 28 = 1 + 2 + 4 + 7 + 
14. Which of the following numbers is a perfect 
number?
(1) 13 (2) 10
(3) 9 (4) 6
35. Which of the following numbers is a perfect square?
(1) 548543213 (2) 548543215
(3) 548543251 (4) 548543241
36. The product of two whole numbers is 24. The 
smallest possible sum of these numbers is:
(1) 8 (2) 9
(3) 10 (4) 12
37. The value of
 
33 16
32
502 500
500


 
is:
(1) 2 (2) 4
(3) 8 (4) 16
38. If 800880 = 8 × 10
x
 + 8 × 10
y
 + 8 × 10
z
 where x, y 
and z are whole numbers, then the value of x + y + 
z is:
(1) 11 (2) 8
(3) 6 (4) 5
39. One factor of x
4
 + x
2
 + 1 is:
(1) x
2
 + 1 (2) x
2
 + x – 1
(3) x
2
 – x + 1 (4) x
2
 – x – 1 
40. The scale of a map is given as 1 : 10000. On the map, 
a forest occupies a rectangular region measuring 10 
cm × 100 cm. The actual area of the forest, in km
2
, 
is:
(1) 1000 (2) 100
(3) 10 (4) 1
41. A fraction is equivalent to
 
5
8
. Its denominator and 
numerator add up to 91. What is the difference 
between the denominator and numerator of this 
fraction?
(1) 3 (2) 13
(3) 19 (4) 21
42. The number n is doubled and then y is added to 
it. The result is then divided by 2 and the original 
number n is subtracted from it. The final result is:
(1) y (2)
 
y
2
(3) n + y (4)
 
ny +
2
43. A polyhedron has 6 faces and 8 vertices. How many 
edges does it have?
(1) 10 (2) 12
(3) 14 (4) 15
44. If
  1957
  – a9 
  18b8 
 the sum of the digits a and b is:
(1) 15 (2) 14
(3) 13 (4) 12
45. Forty-two cubes each of side 1 cm are glued together 
to form a solid cuboid. If the perimeter of the base of 
the cuboid is 18 cm, then its height, in cm, is:
(1) 1 (2) 2
(3) 3 (4) 4
46. In DPQR, PQ = 4 cm, PR = 6 cm and QR = 3 cm. 
Which of the following is correct?
(1) ?R > ?Q
 
(2) ?Q > ?R
(3) ?Q = ?R (4) ?R < ?P
  
47. In DABC and DLMN, AB = LM, AC = LN and ?B = 
?M . Then the: 
(1) triangles cannot be congruent
(2) triangles must be congruent
(3) triangles will be congruent if ?B is a right angle 
(4) triangles are congruent only if AB = AC
48. The area of a trapezium-shaped field is 720 m
2
, the 
distance between the two parallel sides is 20 m and 
the length of one of the parallel sides is 35 m. The 
length of the other parallel side is:
(1) 35 m (2) 36 m
(3) 37 m (4) 40 m
49. If the cost price of 10 candles is equal to the selling 
price of 8 candles, the gain/loss percent is:
(1) 25% gain (2) 20% loss
(3) 20% gain (4) 25% loss
50. The mean of median and mode of the data 7, 6, 7, 9, 
8, 8, 10, 8 is :
(1) 5.5 (2) 8
(3) 8.5 (4) 9
51. A teacher conducted a debate in the class on the 
following topic:
 “Zero is the most significant number.”
 She encouraged every child to express his/her view 
on the topic. The teacher is:
(1) making her classroom more communicative and 
reflective
(2) passing her time as students are not in mood of 
studying
(3) using her Mathematics class as life-skill class to 
develop value of argument among the children.
(4) inducing problem-solving skill among the 
children.
52. Under the topic, “Use of exponents to express small 
numbers in standard form”, the following facts are 
stated:
(A) The speed of light is 300000000 m/sec.
(B) The height of the Mount Everest is 8848 m.
(C) The diameter of a wire on a computer chip is 
0.000003 m.
(D) The size of a plant cell is 0.00001275 m.
 The above examples are used to express each stated 
number in standard form. Use of such examples
(1) shows the accuracy aspect of numbers
(2) reflects the inter-disciplinary approach
(3) is made in class to grab the attention of students 
more interested in science
(4) helps the teacher to identify the bright students
53. According to Jean Piaget’s theory
(1) introduction of linear equation and learning 
techniques of solving it are assimilation and 
extending the concept to pair of linear equations 
may raise problem of accommodation.
(2) introduction of pair of linear equations and 
techniques of solving it are assimilation and 
connecting it to basics of linear equation is 
accommodation
(3) exposure to linear equation, techniques of solving 
it and pair of linear equations are assimilation
(4) learning the concept of linear equation pair 
of linear equations and quadratic equations is 
problem of accommodation
54. ‘Maths lab activities’ can be used for 
(1) formative assessment only
(2) summative assessment only
(3) both formative as well as summative assessment
(4) selecting students for National Mathematics 
Olympiad
55. As per the NCF , 2005
(1) narrow aim of teaching Mathematics at school 
is to teach number system and higher aim is to 
teach algebra
(2) narrow aim of teaching Mathematics at school is 
to teach calculation and higher aim is to teach 
measurement
(3) narrow aim of teaching Mathematics at school 
is to develop numeracy-related skill and higher 
aim is to develop problem-solving skill
(4) narrow aim of teaching Mathematics at school 
is to teach arithmetic and higher aim is to teach 
algebra
56. According to Bloom’s revised taxonomy , the cognitive 
objective that can be achieved through the following 
task
 “Prepare a PowerPoint presentation on contribution 
of Indian Mathematicians.” is
(1) remembering (2) understanding
(3) analysing (4) creating
57. Read the approches used by the two teachers to 
teach solving of linear equation, say 2x – 6 = 10.
Teacher A Teacher B
Steps Steps
(a) Take 6 on other 
side
(b) Change the sign of 
6 and add to 10
(c) Get 2x = 16
(d) Take 2 on the other 
side and divide
(e) Get x = 8
(i) Equation always 
maintains equality. 
So same number 
can be performed 
on both sides to 
maintain equality
(ii) Hence
  2x – 6 + 6 = 10 + 6
 or 2x = 16
(iii)
  
2
2
x
 
= 
16
2
  x = 8
 It can be observed that
(1) teacher A emphasizes on instrumental 
understanding while teacher B emphasizes on 
relational understanding
(2) teacher A emphasizes on relational 
understanding while teacher B emphasizes on 
instrumental understanding
(3) teacher A focuses on conceptual knowledge while 
teacher B focuses on procedural knowledge
(4) teachers A and B focus on instrumental 
understanding
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 of the following figure correctly represents 
the development according to Piaget’s development 
theory?
(1)  (2) 
   
(3)  (4) 
   
2. A teacher found that a student is facing difficulty in 
drawing a square. He/She assumes that this student 
would also find it difficult to draw a diamond. He/
She applies which of the following principles to 
arrive at his/her assumption?
(1) Development tends to follow an orderly sequence.
(2) Development is saltatory.
(3) Development is gradual.
(4) Development is different for different people.
3. Which one of the following statements is TRUE 
regarding the role of heredity and environment in 
human development?
(1) The role of environment is almost fixed, whereas 
the impact of heredity can be altered.
(2) The theories based on the ‘behaviourism‘ are 
largely based on the role of ‘nature‘ in human 
development.
(3) The relative effects of heredity and environment 
vary in different areas of development.
(4) The policy of compensatory discrimination of 
the government of India is based on the role of 
‘nature‘ in human development.
4. In the context of socialization, schools often have a 
hidden curriculum which consists of:
(1) forcible learning, thinking and behaving in 
particular ways by imitating peers and teachers
(2) the informal cues about social roles presented in 
school through interaction and materials
(3) negotiating and resisting socialization of students 
through their families
(4) teaching and assessment of values and attitudes
5. Which of the following implications CANNOT be 
derived from Piaget’s theory of cognitive development?
(1) Sensitivity to children’s readiness to learn.
(2) Acceptance of individual differences.
(3) Discovery learning.
(4) Need of verbal teaching.
6. Which of the following is a characteristic of Kohlberg’s 
stages of moral development?
(1) A variable sequence of stages.
(2) Stages are isolated responses and not general 
pattern.
(3) Universal sequences of stages across all cultures.
(4) Stages proceed in a non-hierarchic manner.
7. Teachers and students draw on one another’s 
expertise while working on complex projects related 
to real-world problems in __________ classroom.
(1) traditional (2) constructivist
(3) teacher-centric (4) social-constructivist
8. In the context of progressive education, the term 
‘equal educational opportunity‘ implies that all 
students should:
(1) receive equal education irrespective of their 
caste, creed, colour, region and religion
(2) be allowed to prove their capability after 
receiving an equal education
(3) be provided an education by using the same 
methods and materials without any distinction
(4) be provided an education which is most 
appropriate to them and their future life at work
9. In the context of language development, which of 
the following areas was underestimated by Piaget?
(1) Heredity
(2) Social interaction
(3) Egocentric speech
(4) Active construction by the child
10. An eleven-year-old child’s score on Stanford Binet 
Intelligence scale is 130. By assuming m = 100 and 
s = 15 in a normal probability curve, calculate the 
percentage of 11-year-old children this child has 
scored better than.
(1) 98% (2) 88%
(3) 78% (4) 80%
11. Which of the following observations supports 
Howard Gardner’s theory of multiple intelligences?
(1) Damage to one part of the brain affects only a 
particular ability sparing others.
(2) Intelligence is an interaction of analytical, 
creative and practical intelligences.
(3) Different intelligences are hierarchical in nature.
(4) Teachers should follow one specific theory of 
educational innovation at the time of designing 
instruction.
CTET SOLVED PAPER S
Paper - 2 (Mathematics & Science)
1 6 t h Fe b r u a r y, 20 1 4
  
12. Which one of the following statements is true about 
ability and ability grouping?
(1) Students learn better in homogeneous groups.
(2) For smooth and effective teaching, class should 
be homogeneous.
(3) Children are intolerant and do not accept 
differences.
(4) Teachers may use multilevel teaching to cater to 
different ability groups.
13. Which one of the following statements is true?
(1) The formative assessment can sometimes be 
summative assessment and vice versa.
(2) The summative assessment implies that 
assessment is a continuous and integral part of 
learning.
(3) The major objective of the formative assessment 
is to grade the achievement of students.
(4) The formative assessment summarizes the 
development of learners during a time interval.
14. A teacher asks his/her students to draw a concept 
map to reflect their comprehension of a topic. He/
She is:
(1) jogging the memory of the students
(2) conducting formative assessment
(3) testing the ability of the students to summarize 
the main points
(4) trying to develop rubrics to evaluate the 
achievement of the students
15. Which one of the following represents the domain 
‘evaluating‘ in the Bloom’s revised taxonomy?
(1) Creating a graph or chart using the data.
(2) Judging the logical consistency of a solution.
(3) Evaluating the pertinence of the data provided.
(4) Formulating a new way for categorizing objects.
16. Teachers must believe in which of the following 
values in the context of dealing with disadvantaged 
learners?
(1) Personal accountability for students’ success.
(2) High expectations of appropriate behaviour.
(3) No demands of any sort on the student.
(4) For immediate compliance of students, use of 
being shocked and angry.
17. Stuttering problems in students can be dealt with by 
applying which of the following methods?
(1) Dictated speech (2) Prolonged speech
(3) Pragmatic speech (4) Protracted speech
18. In the context of learning-disabled children, providing 
immediate connections, stressing collaboration and 
leveraging non-learning technologies such as instant 
messaging intelligent search and content management 
are associated with which of the following designs?
(1) Embedded learning
(2) Interventionist learning
(3) Reply to remediation
(4) Universal design for learning
19. An inclusive classroom is that where:
(1) assessments are repeated till the time every 
learner achieves minimum grades
(2) teachers teach from only prescribed books to 
lessen the burden of the students
(3) there is an active involvement of children in 
solving as many problems as possible
(4) teachers create diverse and meaningful learning 
experiences for every learner
20. Which one of the following is an appropriate 
assignment for a gifted student?
(1) Many more exercises of the same type in 
comparison to other students.
(2) Asking him/her to tutor the peers to channelize 
the energy and keep him/her busy.
(3) Create a prototype of a new science book based 
on different themes.
(4) Letting him/her finish the textbook on his/her 
own before the entire class.
21. Many measures have been taken at institutional 
level to check the dropout cases in the schools run 
by government agencies. Which of the following is 
an institutional reason for children dropping out of 
these schools?
(1) There is a lack of infrastructure, such as 
blackboards and toilets.
(2) T eachers are not having appropriate qualifications 
and are paid lesser salaries.
(3) Teachers have not been sensitized about the 
need of treating children well.
(4) There is no alternative curriculum for children 
who reject the compulsory curriculum offered.
22. Learning disabilities are:
(1) objective facts and culture has no role in 
determining them
(2) synonymous with dyslexia
(3) also present in children with average or above-
average IQ
(4) not immutable irrespective of time and nature of 
interventions
23. Problem-solving is more likely to succeed in schools 
where:
(1) a flexible curriculum is in place
(2) homogeneous groups of students are present in 
the classes
(3) the emphasis is only on higher-order academic 
achievement
(4) teacher-centric pedagogy is in effect
24. Cognitive apprenticeships and instructional 
conversations:
(1) conceive learning as a social activity
(2) are based on application of inductive reasoning
(3) emphasize on systematic organization of textual 
material
(4) highlight the need of practical training to achieve 
efficiency
25. Which of the following should be the right way for 
a teacher who intends to correct errors of his/her 
students?
(1) He/She must correct every error of his/her 
students even if it requires late sitting in the 
school.
(2) He/She should correct less-frequent errors more 
often than high-frequent and generality errors.
(3) He/She should correct errors that interfere with 
the general meaning and understandability.
(4) He/She should not correct errors if it irritates 
children.
  
26. The following skills are involved in emotional 
intelligence, except:
(1) awareness of emotions
(2) management of emotions
(3) criticism of emotions
(4) amicable relation with class fellows
27. While appearing in an assessment, Devika finds 
her arousal as energizing, whereas Rajesh finds his 
arousal as discouraging. Their emotional experiences 
are most likely to differ with respect to:
(1) the duration of time
(2) the extremity of emotion
(3) the level of adaptation
(4) the intensity of thought
28. The government of India has started midday meal 
scheme for the elementary schools. Which of the 
following theories of motivation supports this 
scheme?
(1) Behaviourist (2) Socio-cultural
(3) Cognitive (4) Humanistic
29. Attaching importance to the home setting of students 
for understanding children’s behaviour and using 
this information for building effective pedagogy 
is related to which of the following theories of 
learning?
(1) Behaviourist (2) Ecological
(3) Constructivist (4) Social-constructivist
30. Which of the following may be the best way to deal 
with an inattentive child in the classroom?
(1) Nag the child as frequently in front of the class 
to make her/him realize.
(2) Make the child sit in the most distraction-
reduced area.
(3) Allow the child to stand while working so as to 
enable the child to focus attention.
(4) Provide the child frequent breaks to refresh her/
his attention.
Mathematics and Science
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
31.  The value of 0.001 + 1.01 + 0.11 is:
(1) 1.111 (2) 1.101
(3) 1.013 (4) 1.121
32. In 1999, the population of a country was 30.3 million. 
The number which is the same as 30.3 million is:
(1) 303000000 (2) 30300000
(3) 3030000 (4) 3030000000
33. If a
3
 = 1 + 7, 3
3
 = 1 + 7 + b and 4
3
 = 1 + 7 + c, 
where a, b and c are different positive integers, then 
the value of a + b + c is:
(1) 58 (2) 68
(3) 77 (4) 79
34. We call a number perfect if it is the sum of all its 
positive divisors, except itself. For example, 28 is 
a perfect number because 28 = 1 + 2 + 4 + 7 + 
14. Which of the following numbers is a perfect 
number?
(1) 13 (2) 10
(3) 9 (4) 6
35. Which of the following numbers is a perfect square?
(1) 548543213 (2) 548543215
(3) 548543251 (4) 548543241
36. The product of two whole numbers is 24. The 
smallest possible sum of these numbers is:
(1) 8 (2) 9
(3) 10 (4) 12
37. The value of
 
33 16
32
502 500
500


 
is:
(1) 2 (2) 4
(3) 8 (4) 16
38. If 800880 = 8 × 10
x
 + 8 × 10
y
 + 8 × 10
z
 where x, y 
and z are whole numbers, then the value of x + y + 
z is:
(1) 11 (2) 8
(3) 6 (4) 5
39. One factor of x
4
 + x
2
 + 1 is:
(1) x
2
 + 1 (2) x
2
 + x – 1
(3) x
2
 – x + 1 (4) x
2
 – x – 1 
40. The scale of a map is given as 1 : 10000. On the map, 
a forest occupies a rectangular region measuring 10 
cm × 100 cm. The actual area of the forest, in km
2
, 
is:
(1) 1000 (2) 100
(3) 10 (4) 1
41. A fraction is equivalent to
 
5
8
. Its denominator and 
numerator add up to 91. What is the difference 
between the denominator and numerator of this 
fraction?
(1) 3 (2) 13
(3) 19 (4) 21
42. The number n is doubled and then y is added to 
it. The result is then divided by 2 and the original 
number n is subtracted from it. The final result is:
(1) y (2)
 
y
2
(3) n + y (4)
 
ny +
2
43. A polyhedron has 6 faces and 8 vertices. How many 
edges does it have?
(1) 10 (2) 12
(3) 14 (4) 15
44. If
  1957
  – a9 
  18b8 
 the sum of the digits a and b is:
(1) 15 (2) 14
(3) 13 (4) 12
45. Forty-two cubes each of side 1 cm are glued together 
to form a solid cuboid. If the perimeter of the base of 
the cuboid is 18 cm, then its height, in cm, is:
(1) 1 (2) 2
(3) 3 (4) 4
46. In DPQR, PQ = 4 cm, PR = 6 cm and QR = 3 cm. 
Which of the following is correct?
(1) ?R > ?Q
 
(2) ?Q > ?R
(3) ?Q = ?R (4) ?R < ?P
  
47. In DABC and DLMN, AB = LM, AC = LN and ?B = 
?M . Then the: 
(1) triangles cannot be congruent
(2) triangles must be congruent
(3) triangles will be congruent if ?B is a right angle 
(4) triangles are congruent only if AB = AC
48. The area of a trapezium-shaped field is 720 m
2
, the 
distance between the two parallel sides is 20 m and 
the length of one of the parallel sides is 35 m. The 
length of the other parallel side is:
(1) 35 m (2) 36 m
(3) 37 m (4) 40 m
49. If the cost price of 10 candles is equal to the selling 
price of 8 candles, the gain/loss percent is:
(1) 25% gain (2) 20% loss
(3) 20% gain (4) 25% loss
50. The mean of median and mode of the data 7, 6, 7, 9, 
8, 8, 10, 8 is :
(1) 5.5 (2) 8
(3) 8.5 (4) 9
51. A teacher conducted a debate in the class on the 
following topic:
 “Zero is the most significant number.”
 She encouraged every child to express his/her view 
on the topic. The teacher is:
(1) making her classroom more communicative and 
reflective
(2) passing her time as students are not in mood of 
studying
(3) using her Mathematics class as life-skill class to 
develop value of argument among the children.
(4) inducing problem-solving skill among the 
children.
52. Under the topic, “Use of exponents to express small 
numbers in standard form”, the following facts are 
stated:
(A) The speed of light is 300000000 m/sec.
(B) The height of the Mount Everest is 8848 m.
(C) The diameter of a wire on a computer chip is 
0.000003 m.
(D) The size of a plant cell is 0.00001275 m.
 The above examples are used to express each stated 
number in standard form. Use of such examples
(1) shows the accuracy aspect of numbers
(2) reflects the inter-disciplinary approach
(3) is made in class to grab the attention of students 
more interested in science
(4) helps the teacher to identify the bright students
53. According to Jean Piaget’s theory
(1) introduction of linear equation and learning 
techniques of solving it are assimilation and 
extending the concept to pair of linear equations 
may raise problem of accommodation.
(2) introduction of pair of linear equations and 
techniques of solving it are assimilation and 
connecting it to basics of linear equation is 
accommodation
(3) exposure to linear equation, techniques of solving 
it and pair of linear equations are assimilation
(4) learning the concept of linear equation pair 
of linear equations and quadratic equations is 
problem of accommodation
54. ‘Maths lab activities’ can be used for 
(1) formative assessment only
(2) summative assessment only
(3) both formative as well as summative assessment
(4) selecting students for National Mathematics 
Olympiad
55. As per the NCF , 2005
(1) narrow aim of teaching Mathematics at school 
is to teach number system and higher aim is to 
teach algebra
(2) narrow aim of teaching Mathematics at school is 
to teach calculation and higher aim is to teach 
measurement
(3) narrow aim of teaching Mathematics at school 
is to develop numeracy-related skill and higher 
aim is to develop problem-solving skill
(4) narrow aim of teaching Mathematics at school 
is to teach arithmetic and higher aim is to teach 
algebra
56. According to Bloom’s revised taxonomy , the cognitive 
objective that can be achieved through the following 
task
 “Prepare a PowerPoint presentation on contribution 
of Indian Mathematicians.” is
(1) remembering (2) understanding
(3) analysing (4) creating
57. Read the approches used by the two teachers to 
teach solving of linear equation, say 2x – 6 = 10.
Teacher A Teacher B
Steps Steps
(a) Take 6 on other 
side
(b) Change the sign of 
6 and add to 10
(c) Get 2x = 16
(d) Take 2 on the other 
side and divide
(e) Get x = 8
(i) Equation always 
maintains equality. 
So same number 
can be performed 
on both sides to 
maintain equality
(ii) Hence
  2x – 6 + 6 = 10 + 6
 or 2x = 16
(iii)
  
2
2
x
 
= 
16
2
  x = 8
 It can be observed that
(1) teacher A emphasizes on instrumental 
understanding while teacher B emphasizes on 
relational understanding
(2) teacher A emphasizes on relational 
understanding while teacher B emphasizes on 
instrumental understanding
(3) teacher A focuses on conceptual knowledge while 
teacher B focuses on procedural knowledge
(4) teachers A and B focus on instrumental 
understanding
  
58. Class VI students were given the following layout of 
a house.
 The students were asked to find out the—
(A) perimeter and area of each room;
(B) total perimeter and total area of the house.
 The above activity can be used by teacher as 
formative task because:
(1) it will be easy for teacher to engage all the 
students for 40 minutes period
(2) the students responses will help teacher to 
diagnose their understanding regarding finding 
dimensions, calculations, knowledge of formulae 
for perimeter and area, etc.
(3) the students will find the task interesting and 
will not disturb each other.
(4) it will remove the phobia of Maths examination
59. Students’ ability to apply the concept of square roots 
in real life situation can be assessed through the 
following problem:
(1) Find the smallest square number that is divisible 
by each of the numbers 4, 9 and 10.
(2) Calculate the square root of 25600.
(3) Find the smallest number that may be subtracted 
from 5607 to get a perfect square
(4) 2025 plants are to be planted in a garden is such 
a way that each row contains as many plants as 
the number of rows. Find the number of rows 
and number of plants in each row.
60. A student writes
  
10
12
5
6
 cm
 cm
 = c m
  
15
15
1000
 km
 m
 =  cm
 This student
(1) always commits clerical error of writing unit 
with ratio
(2) has clear concept of units and their conversion
(3) can reduce fractions to lowest term correctly and 
can write the units properly.
(4) has concept of units, conversion of units, 
fractions but missed the concept that ratio does 
not have units
Directions: Answer the following questions (Q. Nos. 61 to 
90) by selecting the correct/most appropriate options.
61. Study the following statements about excretory 
system in humans:
A. Wastes dissolved in water are filtered out as 
urine in the kidneys.
B. Urine stored in urinary bladder is passed out 
through the urinary opening at the end of the 
urethra.
C. Ureter carries urine to the urinary bladder.
D. Useful substances are absorbed back in the 
blood.
E. Blood containing useful and harmful substances 
reaches the kidney for filtration.
 The correct order of the processes given in the above 
statements is:
(1) D, E, A, C, B (2) E, D, A, C, B
(3) B, D, E, A, C (4) E, D, A, B, C
62. The pseudopodia of amoeba are used for:
(1) sensing the food only
(2) capture of food only
(3) movement only
(4) movement and capture of food
63. Below are given some organisms:
(A) Y easts (B) Bedbugs
(C) Leeches (D) Cuscuta
(E) Algae (F) Lice
(G) Mushrooms (H) Lichens 
 The organisms which may be classified in the group 
of Parasites are
(1) A, C, F and G  (2) B, C, D and H 
(3) B, C, D and F  (4) C, D, E and G
64. In Column-A, names of scientists are given and in 
Column-B, some discoveries are given:
Column-A Column-B
A. Alexander Fleming (i) Anthrax bacterium
B. Edward Jenner (ii) Fermentation
C. Louis Pasteur (iii) Lactobacillus 
bacterium
D. Robert Koch (iv) Penicillin
(v) Smallpox vaccine
 The correct match of the names of scientists with 
their discoveries is:
 a b c d
(1) iv v ii i
(2) i iii ii iv
(3) iv ii v iii
(4) iii v ii i
65. Select the correct statement about biosphere 
reserves.
(1) These are the protected areas meant for the 
conservation of endemic species only.
(2) These are the areas meant only for the 
conservation of plants and animals.
(3) These are the areas which help to maintain the 
biodiversity and culture of the areas.
(4) These are the protected areas reserved for 
wildlife where they can freely use the habitats 
and natural resources.
66. Study the following statements:
A. Prokaryotes do not have nucleus.
B. A single cell can perform all the functions in a 
unicellular organism.
C. Blue-green algae are the examples of prokaryotes.
D. Eukaryotes do  not have well organized nucleus 
with a nuclear membrane.