CTET Solved Question Paper - 2 (20 Dec - 2021) | 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
1. The nature of relationship between development 
and learning is viewed by Lev Vygotsky as having 
which of the following characteristics?
(1) It is linear in nature
(2) The relationship is static in nature
(3) Learning often precedes development
(4) Development often precedes learning
2. The developmental theorists who view process 
of development as having substantial plasticity 
throughout life are likely to emphasize the 
importance of :
(1) Heredity
(2) Environment and experience
(3) Domain specific intelligence
(4) Crystallized intelligence
3. ‘Discontinuity’ in the developmental process refers 
to:
(1) New ways of understanding the world that 
emerge during the process of development.
(2) Negative breaks in the developmental process.
(3) A downward negative trend in development.
(4) Interference in the developmental process.
4. Authoritative style of parenting/child rearing is 
based on:
(1) Making decisions for the child
(2) Not listing to a child’s point of view
(3) Making unreasonable demands from the child
(4) Engage in joint decision making wherever 
possible
5. According to Jean Piaget, the process of 
developmental change takes place through which of 
the following specific cognitive functions?
(1) Experience and social transmission
(2) Assimilation and Accommodation
(3) Maturation and Experience
(4) Social transmission and maturation
6. A 5 year old child was given 10 pebbles by her 
teacher. She put the pebbles in different formations 
e.g. a short line, a long line and a circle. She counted 
these pebbles repeatedly. Which of the following 
cognitive schemas is she attempting to attain 
according to Jean Piaget?
(1) Seriation
(2) Transitive inference
(3) Nominal scale
(4) Conservation of numbers
7. According to Lev Vygotsky, the process of cognitive 
development is mediated by:
(1) Cultural Tools (2) Cultural Modes
(3) Cultural Signifiers (4) Cultural Derivatives
8. Development in ‘Zone of Proximal Development’ 
according to Lev Vygotsky can be facilitated through:
(1) Collaborative dialogues
(2) Observational learning
(3) Reversible thinking
(4) Expository learning
9. The stage 5 of post-conventional morality as given 
by Lawrence Kohlberg is marked by:
(1) A free agreement to follow a social contract for 
the benefit of humanity
(2) A free exploration of ethics even beyond social 
contract
(3) Formulation of moral rules that bypass ethics
(4) The need to appear to be ‘a good person’
10. A progressive educator need to embody which of 
the following attributes within a classroom:
(1) Empathy, control, care
(2) Empathy, control, discipline
(3) Empathy, realness, care
(4) Empathy, realness, control
11. Which of the following are major concerns about 
using the concept of Intelligence Quotient to 
measure Children’s intelligence?
(i) Instability of Score
(ii) Cultural bias in tests
(iii) Product –orientedness of tests
(iv) Labelling of children
(1) ii, iii, iv (2) i, ii, iii, iv
(3) i, ii, iv (4) i, iii, iv
12. An experience of intra-personal intelligence within a 
classroom according to Howard Gardner refers to:
(1) Ability to handle social situations well
(2) Ability to understand meaning and rhythms of 
others’ speech
(3) Knowledge of one’s own complex feelings, 
strengths and weaknesses
(4) Appreciation of aesthetics and beauty.
13. The role of a teacher within the classroom is to 
encourage children to express which of the following 
attitudes related to gender?
(1) Gender stereotyping
(2) Gender constancy
(3) Adopt socially acceptable gender roles
(4) Gender - stereotype flexibility
14. In a classroom where students have diverse learning 
profiles, a teacher needs to :
(1) Identify normative level of teaching
(2) Find creative ways of engaging with diverse 
learning pace of students
(3) Create special achievement and remedial 
sections
(4) Do ability groupings within classroom
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
20th December, 2021
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The nature of relationship between development 
and learning is viewed by Lev Vygotsky as having 
which of the following characteristics?
(1) It is linear in nature
(2) The relationship is static in nature
(3) Learning often precedes development
(4) Development often precedes learning
2. The developmental theorists who view process 
of development as having substantial plasticity 
throughout life are likely to emphasize the 
importance of :
(1) Heredity
(2) Environment and experience
(3) Domain specific intelligence
(4) Crystallized intelligence
3. ‘Discontinuity’ in the developmental process refers 
to:
(1) New ways of understanding the world that 
emerge during the process of development.
(2) Negative breaks in the developmental process.
(3) A downward negative trend in development.
(4) Interference in the developmental process.
4. Authoritative style of parenting/child rearing is 
based on:
(1) Making decisions for the child
(2) Not listing to a child’s point of view
(3) Making unreasonable demands from the child
(4) Engage in joint decision making wherever 
possible
5. According to Jean Piaget, the process of 
developmental change takes place through which of 
the following specific cognitive functions?
(1) Experience and social transmission
(2) Assimilation and Accommodation
(3) Maturation and Experience
(4) Social transmission and maturation
6. A 5 year old child was given 10 pebbles by her 
teacher. She put the pebbles in different formations 
e.g. a short line, a long line and a circle. She counted 
these pebbles repeatedly. Which of the following 
cognitive schemas is she attempting to attain 
according to Jean Piaget?
(1) Seriation
(2) Transitive inference
(3) Nominal scale
(4) Conservation of numbers
7. According to Lev Vygotsky, the process of cognitive 
development is mediated by:
(1) Cultural Tools (2) Cultural Modes
(3) Cultural Signifiers (4) Cultural Derivatives
8. Development in ‘Zone of Proximal Development’ 
according to Lev Vygotsky can be facilitated through:
(1) Collaborative dialogues
(2) Observational learning
(3) Reversible thinking
(4) Expository learning
9. The stage 5 of post-conventional morality as given 
by Lawrence Kohlberg is marked by:
(1) A free agreement to follow a social contract for 
the benefit of humanity
(2) A free exploration of ethics even beyond social 
contract
(3) Formulation of moral rules that bypass ethics
(4) The need to appear to be ‘a good person’
10. A progressive educator need to embody which of 
the following attributes within a classroom:
(1) Empathy, control, care
(2) Empathy, control, discipline
(3) Empathy, realness, care
(4) Empathy, realness, control
11. Which of the following are major concerns about 
using the concept of Intelligence Quotient to 
measure Children’s intelligence?
(i) Instability of Score
(ii) Cultural bias in tests
(iii) Product –orientedness of tests
(iv) Labelling of children
(1) ii, iii, iv (2) i, ii, iii, iv
(3) i, ii, iv (4) i, iii, iv
12. An experience of intra-personal intelligence within a 
classroom according to Howard Gardner refers to:
(1) Ability to handle social situations well
(2) Ability to understand meaning and rhythms of 
others’ speech
(3) Knowledge of one’s own complex feelings, 
strengths and weaknesses
(4) Appreciation of aesthetics and beauty.
13. The role of a teacher within the classroom is to 
encourage children to express which of the following 
attitudes related to gender?
(1) Gender stereotyping
(2) Gender constancy
(3) Adopt socially acceptable gender roles
(4) Gender - stereotype flexibility
14. In a classroom where students have diverse learning 
profiles, a teacher needs to :
(1) Identify normative level of teaching
(2) Find creative ways of engaging with diverse 
learning pace of students
(3) Create special achievement and remedial 
sections
(4) Do ability groupings within classroom
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
20th December, 2021
  
15. Formative assessment is generally used:
(1) To provide teachers with a rational basis for 
preparing tests /exam papers
(2) To help teachers plan better and provide 
supportive, non –evaluative feedback to students
(3) To help students develop good test taking skills
(4) To discriminate appropriately between ability 
levels of students
16. Multi-cultural Education is aimed at:
(1) Educational inequality for children form 
different cultures within a classroom.
(2) Educational equity for children form different 
cultures within a classroom.
(3) Showcasing dances / music of different cultures 
on specific occasions like annual day of school.
(4) Creating special sections in schools for children 
belonging to different cultures.
17. The education of learners from ‘disadvantaged’ 
and ‘deprived’ backgrounds can get negatively 
influenced by which of the following
(i) Stereotypes
(ii) Lack of understanding of Local Knowledge 
Systems
(iii) Top-down curriculum
(iv) Curriculum based on local culture and language
(1) (i) and (ii) (2) (i), (ii), and (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
18. Creative thinking is not facilitated by which of the 
following:
(1) Originality (2) T olerance of ambiguity
(3) Convergent thinking (4) Flexibility in thinking
19. A child with locomotion disability joins a primary 
school. Which of the following would not be a 
facilitative strategy for inclusion of the child within 
school?
(1) Provision of allocating class on the ground floor
(2) Empathy- building among peers
(3) Appropriate infrastructural modifications
(4) Showing sympathy for the lack of ability
20. Which of the following strategies would not be 
facilitative with respect to children who have 
specific hearing disabilities within regular schools?
(1) Relaxation in specific domains of learning, 
wherever possible
(2) Reasonable accommodation in curriculum
(3) Continual negative comments on errors 
committed
(4) Individualized educational planning
21. “Success” in schools should be broadened beyond 
specific academic achievement within school to 
include:
(1) Training given by coaching institutions.
(2) Development of socio – emotional capacities as 
an important part of education.
(3) Extra tests which can be done at home.
(4) Constant focus only on areas where a child is 
‘weak’.
22. Conceptual clarity can be said to have been achieved 
when a student can:
(1) Recall information given correctly
(2) Write down information correctly
(3) Clearly remember the definition of a concept
(4) Apply concepts learnt to real life situations
23. To enable children to become effective problem–
solvers it is critical that they are given opportunities 
to :
(1) Do experiments only in the format prescribed in 
the textbook
(2) Discover a concept through independent 
thinking
(3) Take extra tuitions wherever necessary
(4) Learn primarily through audio –visual aids and 
smart boards only
24. The errors that children make during the learning 
process can be:
(1) Used to ascertain their current ability and 
intelligence.
(2) Rectified immediately without feedback so that 
they are not repeated
(3) Seen as normal and acceptable part of cognitive 
development
(4) A distraction in the learning process and should 
be minimized quickly
25. What is the role of children’s emotions in learning?
(1) Emotions distract children from learning and 
therefore need to be controlled.
(2) There needs to be a clear disconnect between 
cognition and emotions of children for effective 
learning.
(3) Emotions give meaning to learning experiences 
and need to be integrated within learning 
process.
(4) Emotions make learning process ‘messy’ and 
unpredictable.
26. Children can be encouraged to become intrinsically 
motivated learners by:
(1) giving rewards for encouragement
(2) punishing them to avoid making mistakes
(3) learning form the mistakes made during learning 
process without any negative penalty
(4) encouraging teacher attention to performance 
by special achievers within a classroom
27. Which of the following characteristics are there in 
‘master oriented learners’?
(1) Low fear of failure, incremental view of ability
(2) High fear of failure, entity view of ability
(3) Low fear of failure, entity view of ability
(4) High fear of failure, incremental view of ability
28. Which of the following is a hindrance in effective 
problem-solving?
(1) Activating the right schema
(2) Response set
(3) Identification of the real problem
(4) Application of heuristics or general problem 
solving strategies
29. Encouraging students to compete among themselves 
in the classroom can have the following consequences. 
Which of these would you perceive to be harmful for 
a child’s growth?
(i) It creates ‘winners’ and ‘losers’ within a 
classroom
(ii) It increases the stress and anxiety level of 
students hampering their cognitive growth
(iii) It can create ‘star’ students within a classroom 
whose achievement can be source of pride for 
schools
(iv) It can prepare students to fit into the competitive, 
market based economics.
(1) (i), (ii) (2) (i), (ii), (iv)
(3) (i), (ii), (iii), (iv) (4) (ii), (iii), (iv)
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The nature of relationship between development 
and learning is viewed by Lev Vygotsky as having 
which of the following characteristics?
(1) It is linear in nature
(2) The relationship is static in nature
(3) Learning often precedes development
(4) Development often precedes learning
2. The developmental theorists who view process 
of development as having substantial plasticity 
throughout life are likely to emphasize the 
importance of :
(1) Heredity
(2) Environment and experience
(3) Domain specific intelligence
(4) Crystallized intelligence
3. ‘Discontinuity’ in the developmental process refers 
to:
(1) New ways of understanding the world that 
emerge during the process of development.
(2) Negative breaks in the developmental process.
(3) A downward negative trend in development.
(4) Interference in the developmental process.
4. Authoritative style of parenting/child rearing is 
based on:
(1) Making decisions for the child
(2) Not listing to a child’s point of view
(3) Making unreasonable demands from the child
(4) Engage in joint decision making wherever 
possible
5. According to Jean Piaget, the process of 
developmental change takes place through which of 
the following specific cognitive functions?
(1) Experience and social transmission
(2) Assimilation and Accommodation
(3) Maturation and Experience
(4) Social transmission and maturation
6. A 5 year old child was given 10 pebbles by her 
teacher. She put the pebbles in different formations 
e.g. a short line, a long line and a circle. She counted 
these pebbles repeatedly. Which of the following 
cognitive schemas is she attempting to attain 
according to Jean Piaget?
(1) Seriation
(2) Transitive inference
(3) Nominal scale
(4) Conservation of numbers
7. According to Lev Vygotsky, the process of cognitive 
development is mediated by:
(1) Cultural Tools (2) Cultural Modes
(3) Cultural Signifiers (4) Cultural Derivatives
8. Development in ‘Zone of Proximal Development’ 
according to Lev Vygotsky can be facilitated through:
(1) Collaborative dialogues
(2) Observational learning
(3) Reversible thinking
(4) Expository learning
9. The stage 5 of post-conventional morality as given 
by Lawrence Kohlberg is marked by:
(1) A free agreement to follow a social contract for 
the benefit of humanity
(2) A free exploration of ethics even beyond social 
contract
(3) Formulation of moral rules that bypass ethics
(4) The need to appear to be ‘a good person’
10. A progressive educator need to embody which of 
the following attributes within a classroom:
(1) Empathy, control, care
(2) Empathy, control, discipline
(3) Empathy, realness, care
(4) Empathy, realness, control
11. Which of the following are major concerns about 
using the concept of Intelligence Quotient to 
measure Children’s intelligence?
(i) Instability of Score
(ii) Cultural bias in tests
(iii) Product –orientedness of tests
(iv) Labelling of children
(1) ii, iii, iv (2) i, ii, iii, iv
(3) i, ii, iv (4) i, iii, iv
12. An experience of intra-personal intelligence within a 
classroom according to Howard Gardner refers to:
(1) Ability to handle social situations well
(2) Ability to understand meaning and rhythms of 
others’ speech
(3) Knowledge of one’s own complex feelings, 
strengths and weaknesses
(4) Appreciation of aesthetics and beauty.
13. The role of a teacher within the classroom is to 
encourage children to express which of the following 
attitudes related to gender?
(1) Gender stereotyping
(2) Gender constancy
(3) Adopt socially acceptable gender roles
(4) Gender - stereotype flexibility
14. In a classroom where students have diverse learning 
profiles, a teacher needs to :
(1) Identify normative level of teaching
(2) Find creative ways of engaging with diverse 
learning pace of students
(3) Create special achievement and remedial 
sections
(4) Do ability groupings within classroom
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
20th December, 2021
  
15. Formative assessment is generally used:
(1) To provide teachers with a rational basis for 
preparing tests /exam papers
(2) To help teachers plan better and provide 
supportive, non –evaluative feedback to students
(3) To help students develop good test taking skills
(4) To discriminate appropriately between ability 
levels of students
16. Multi-cultural Education is aimed at:
(1) Educational inequality for children form 
different cultures within a classroom.
(2) Educational equity for children form different 
cultures within a classroom.
(3) Showcasing dances / music of different cultures 
on specific occasions like annual day of school.
(4) Creating special sections in schools for children 
belonging to different cultures.
17. The education of learners from ‘disadvantaged’ 
and ‘deprived’ backgrounds can get negatively 
influenced by which of the following
(i) Stereotypes
(ii) Lack of understanding of Local Knowledge 
Systems
(iii) Top-down curriculum
(iv) Curriculum based on local culture and language
(1) (i) and (ii) (2) (i), (ii), and (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
18. Creative thinking is not facilitated by which of the 
following:
(1) Originality (2) T olerance of ambiguity
(3) Convergent thinking (4) Flexibility in thinking
19. A child with locomotion disability joins a primary 
school. Which of the following would not be a 
facilitative strategy for inclusion of the child within 
school?
(1) Provision of allocating class on the ground floor
(2) Empathy- building among peers
(3) Appropriate infrastructural modifications
(4) Showing sympathy for the lack of ability
20. Which of the following strategies would not be 
facilitative with respect to children who have 
specific hearing disabilities within regular schools?
(1) Relaxation in specific domains of learning, 
wherever possible
(2) Reasonable accommodation in curriculum
(3) Continual negative comments on errors 
committed
(4) Individualized educational planning
21. “Success” in schools should be broadened beyond 
specific academic achievement within school to 
include:
(1) Training given by coaching institutions.
(2) Development of socio – emotional capacities as 
an important part of education.
(3) Extra tests which can be done at home.
(4) Constant focus only on areas where a child is 
‘weak’.
22. Conceptual clarity can be said to have been achieved 
when a student can:
(1) Recall information given correctly
(2) Write down information correctly
(3) Clearly remember the definition of a concept
(4) Apply concepts learnt to real life situations
23. To enable children to become effective problem–
solvers it is critical that they are given opportunities 
to :
(1) Do experiments only in the format prescribed in 
the textbook
(2) Discover a concept through independent 
thinking
(3) Take extra tuitions wherever necessary
(4) Learn primarily through audio –visual aids and 
smart boards only
24. The errors that children make during the learning 
process can be:
(1) Used to ascertain their current ability and 
intelligence.
(2) Rectified immediately without feedback so that 
they are not repeated
(3) Seen as normal and acceptable part of cognitive 
development
(4) A distraction in the learning process and should 
be minimized quickly
25. What is the role of children’s emotions in learning?
(1) Emotions distract children from learning and 
therefore need to be controlled.
(2) There needs to be a clear disconnect between 
cognition and emotions of children for effective 
learning.
(3) Emotions give meaning to learning experiences 
and need to be integrated within learning 
process.
(4) Emotions make learning process ‘messy’ and 
unpredictable.
26. Children can be encouraged to become intrinsically 
motivated learners by:
(1) giving rewards for encouragement
(2) punishing them to avoid making mistakes
(3) learning form the mistakes made during learning 
process without any negative penalty
(4) encouraging teacher attention to performance 
by special achievers within a classroom
27. Which of the following characteristics are there in 
‘master oriented learners’?
(1) Low fear of failure, incremental view of ability
(2) High fear of failure, entity view of ability
(3) Low fear of failure, entity view of ability
(4) High fear of failure, incremental view of ability
28. Which of the following is a hindrance in effective 
problem-solving?
(1) Activating the right schema
(2) Response set
(3) Identification of the real problem
(4) Application of heuristics or general problem 
solving strategies
29. Encouraging students to compete among themselves 
in the classroom can have the following consequences. 
Which of these would you perceive to be harmful for 
a child’s growth?
(i) It creates ‘winners’ and ‘losers’ within a 
classroom
(ii) It increases the stress and anxiety level of 
students hampering their cognitive growth
(iii) It can create ‘star’ students within a classroom 
whose achievement can be source of pride for 
schools
(iv) It can prepare students to fit into the competitive, 
market based economics.
(1) (i), (ii) (2) (i), (ii), (iv)
(3) (i), (ii), (iii), (iv) (4) (ii), (iii), (iv)
  
30. The process of meaningful learning needs to be 
mediated by:
(1) Personal philosophy and perspective of the 
learner
(2) The knowledge ‘received’ by the learner from 
the teacher
(3) The requirements of the curriculum geared 
towards summative assessment
(4) Based primarily on views of expert
Mathematics and Science
31. The number of composite numbers between 101 and 
120 is:
(1) 13 (2) 14
(3) 15 (4) 16
32. A rational number between -
5
6
3
8
 and  is:
(1)
 
-
7
8
 
(2)
 
-
8
9
(3)
 
1
3
 
(4)
 
5
6
33. If 504 = 2
p
 × 3
q
 × 7
r
, then what is the value of 
(2p + q – r)?
(1) 5 (2) 6
(3) 7 (4) 8
34.
 
8 125 4
4 3 2 3 3

 
is equal to:
(1) 50 (2) 40
(3) 100 (4) 80
35. The LCM and HCF of two numbers are 1485 and 33, 
respectively. If one of the numbers is divided by 31, 
the quotient is 9 and the remainder is 18. What is the 
other number?
(1) 165 (2) 198
(3) 231 (4) 264
36. If x is subtracted from each of 26, 24, 56 and 49, 
then the numbers, so obtained in this order are in 
proportion. What is the value of
 
26
2
x -
?
(1) 10 (2) 11
(3) 12 (4) 15
37. A factor of common to both x
2
 + 7x + 12 and  
x
2
 – 5x – 36 is:
(1) x + 1 (2) x + 3
(3) x + 4 (4) x – 6
38. If 4
24
3
1
2
25
21
2



 ()
()
x
x
x
 = , then is equal to
(1) 
2
3
 
(2)
 
5
2
(3) 3 (4) 4
39. If (3x
2
 – 6x – 4) + (4x – 3 – x
2
) – (5 + x – 2x
2
) = 
(Ax
2
 + Bx – C), then what is the value of (A + B – C)?
(1) 10 (2) 12
(3) –11 (4) 16
40. If x + y = 3 and x
2
 + y
2
 = 29, then what is the value 
of
 
11
xy
+ ?
(1)
 
3
29
 
(2)
 
-
3
10
(3)
 
-
1
5
 
(4)
 
3
10
41. The external and internal radii of a cylindrical pipe 
are 16 cm and 15 cm, respectively. The length of the 
pipe is 63 cm. What is the volume (in cm
3
) of the 
material used in making it? Take 






22
7
(1) 5940 (2) 6039
(3) 6138 (4) 6820
42. The perimeter of a rhombus-shaped field is 400 m 
and the length of one its diagonals is 160 m. What is 
the area (in m
2
) of the field?
(1) 1600 (2) 4800
(2) 6400 (4) 9600
43. The perimeter of a trapezium is 188 cm and its area 
is 1625 m
2
. If the distance between the parallel sides 
is 25 cm, then what is sum of its non-parallel sides?
(1) 36 cm (2) 42 cm
(3) 48 cm (4) 58 cm
44. In DABC, AB = BC. Points D and E are on the side 
AC such taht AD = EC. Which of the following is 
correct?
(1) DABE ? DBCD (2) DABE ? DCBD
(3) DABE ? DBDC (4) DABE ? DDBC
45. The sum of all interior angles of a regular n sided 
polygon is 1800°. What is the value of 
n +4
2
?
(1) 6 (2) 7
(3) 8 (4) 9
46. The number of faces, vertices and edges of a 
polyhydron A are x, 10 and 15, respectively and the 
number of faces, vertices and edges of polyhydron 
B are 12, y and 30, respectively. What is the value of 
(x + y)?
(1) 24 (2) 25
(3) 27 (4) 29
47. In DABC, the bisectors of ?B and ?C meet at a point 
D. If ?BDC is 102°, then ?A =
(1) 24° (2) 32°
(3) 51° (4) 78°
48. BD is diagonal of a rhombus ABCD. If ?ADB = 50°, 
then the measure of ?DCB is
(1) 60° (2) 75°
(3) 80° (4) 100°
49. Two dice are thrown simultaneously. What is the 
probability that the sum of the numbers appearing 
on them is at least 7?
(1)
 
4
9
 
(2)
 
7
12
(3)
 
1
3
 
(4)
 
5
18
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The nature of relationship between development 
and learning is viewed by Lev Vygotsky as having 
which of the following characteristics?
(1) It is linear in nature
(2) The relationship is static in nature
(3) Learning often precedes development
(4) Development often precedes learning
2. The developmental theorists who view process 
of development as having substantial plasticity 
throughout life are likely to emphasize the 
importance of :
(1) Heredity
(2) Environment and experience
(3) Domain specific intelligence
(4) Crystallized intelligence
3. ‘Discontinuity’ in the developmental process refers 
to:
(1) New ways of understanding the world that 
emerge during the process of development.
(2) Negative breaks in the developmental process.
(3) A downward negative trend in development.
(4) Interference in the developmental process.
4. Authoritative style of parenting/child rearing is 
based on:
(1) Making decisions for the child
(2) Not listing to a child’s point of view
(3) Making unreasonable demands from the child
(4) Engage in joint decision making wherever 
possible
5. According to Jean Piaget, the process of 
developmental change takes place through which of 
the following specific cognitive functions?
(1) Experience and social transmission
(2) Assimilation and Accommodation
(3) Maturation and Experience
(4) Social transmission and maturation
6. A 5 year old child was given 10 pebbles by her 
teacher. She put the pebbles in different formations 
e.g. a short line, a long line and a circle. She counted 
these pebbles repeatedly. Which of the following 
cognitive schemas is she attempting to attain 
according to Jean Piaget?
(1) Seriation
(2) Transitive inference
(3) Nominal scale
(4) Conservation of numbers
7. According to Lev Vygotsky, the process of cognitive 
development is mediated by:
(1) Cultural Tools (2) Cultural Modes
(3) Cultural Signifiers (4) Cultural Derivatives
8. Development in ‘Zone of Proximal Development’ 
according to Lev Vygotsky can be facilitated through:
(1) Collaborative dialogues
(2) Observational learning
(3) Reversible thinking
(4) Expository learning
9. The stage 5 of post-conventional morality as given 
by Lawrence Kohlberg is marked by:
(1) A free agreement to follow a social contract for 
the benefit of humanity
(2) A free exploration of ethics even beyond social 
contract
(3) Formulation of moral rules that bypass ethics
(4) The need to appear to be ‘a good person’
10. A progressive educator need to embody which of 
the following attributes within a classroom:
(1) Empathy, control, care
(2) Empathy, control, discipline
(3) Empathy, realness, care
(4) Empathy, realness, control
11. Which of the following are major concerns about 
using the concept of Intelligence Quotient to 
measure Children’s intelligence?
(i) Instability of Score
(ii) Cultural bias in tests
(iii) Product –orientedness of tests
(iv) Labelling of children
(1) ii, iii, iv (2) i, ii, iii, iv
(3) i, ii, iv (4) i, iii, iv
12. An experience of intra-personal intelligence within a 
classroom according to Howard Gardner refers to:
(1) Ability to handle social situations well
(2) Ability to understand meaning and rhythms of 
others’ speech
(3) Knowledge of one’s own complex feelings, 
strengths and weaknesses
(4) Appreciation of aesthetics and beauty.
13. The role of a teacher within the classroom is to 
encourage children to express which of the following 
attitudes related to gender?
(1) Gender stereotyping
(2) Gender constancy
(3) Adopt socially acceptable gender roles
(4) Gender - stereotype flexibility
14. In a classroom where students have diverse learning 
profiles, a teacher needs to :
(1) Identify normative level of teaching
(2) Find creative ways of engaging with diverse 
learning pace of students
(3) Create special achievement and remedial 
sections
(4) Do ability groupings within classroom
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
20th December, 2021
  
15. Formative assessment is generally used:
(1) To provide teachers with a rational basis for 
preparing tests /exam papers
(2) To help teachers plan better and provide 
supportive, non –evaluative feedback to students
(3) To help students develop good test taking skills
(4) To discriminate appropriately between ability 
levels of students
16. Multi-cultural Education is aimed at:
(1) Educational inequality for children form 
different cultures within a classroom.
(2) Educational equity for children form different 
cultures within a classroom.
(3) Showcasing dances / music of different cultures 
on specific occasions like annual day of school.
(4) Creating special sections in schools for children 
belonging to different cultures.
17. The education of learners from ‘disadvantaged’ 
and ‘deprived’ backgrounds can get negatively 
influenced by which of the following
(i) Stereotypes
(ii) Lack of understanding of Local Knowledge 
Systems
(iii) Top-down curriculum
(iv) Curriculum based on local culture and language
(1) (i) and (ii) (2) (i), (ii), and (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
18. Creative thinking is not facilitated by which of the 
following:
(1) Originality (2) T olerance of ambiguity
(3) Convergent thinking (4) Flexibility in thinking
19. A child with locomotion disability joins a primary 
school. Which of the following would not be a 
facilitative strategy for inclusion of the child within 
school?
(1) Provision of allocating class on the ground floor
(2) Empathy- building among peers
(3) Appropriate infrastructural modifications
(4) Showing sympathy for the lack of ability
20. Which of the following strategies would not be 
facilitative with respect to children who have 
specific hearing disabilities within regular schools?
(1) Relaxation in specific domains of learning, 
wherever possible
(2) Reasonable accommodation in curriculum
(3) Continual negative comments on errors 
committed
(4) Individualized educational planning
21. “Success” in schools should be broadened beyond 
specific academic achievement within school to 
include:
(1) Training given by coaching institutions.
(2) Development of socio – emotional capacities as 
an important part of education.
(3) Extra tests which can be done at home.
(4) Constant focus only on areas where a child is 
‘weak’.
22. Conceptual clarity can be said to have been achieved 
when a student can:
(1) Recall information given correctly
(2) Write down information correctly
(3) Clearly remember the definition of a concept
(4) Apply concepts learnt to real life situations
23. To enable children to become effective problem–
solvers it is critical that they are given opportunities 
to :
(1) Do experiments only in the format prescribed in 
the textbook
(2) Discover a concept through independent 
thinking
(3) Take extra tuitions wherever necessary
(4) Learn primarily through audio –visual aids and 
smart boards only
24. The errors that children make during the learning 
process can be:
(1) Used to ascertain their current ability and 
intelligence.
(2) Rectified immediately without feedback so that 
they are not repeated
(3) Seen as normal and acceptable part of cognitive 
development
(4) A distraction in the learning process and should 
be minimized quickly
25. What is the role of children’s emotions in learning?
(1) Emotions distract children from learning and 
therefore need to be controlled.
(2) There needs to be a clear disconnect between 
cognition and emotions of children for effective 
learning.
(3) Emotions give meaning to learning experiences 
and need to be integrated within learning 
process.
(4) Emotions make learning process ‘messy’ and 
unpredictable.
26. Children can be encouraged to become intrinsically 
motivated learners by:
(1) giving rewards for encouragement
(2) punishing them to avoid making mistakes
(3) learning form the mistakes made during learning 
process without any negative penalty
(4) encouraging teacher attention to performance 
by special achievers within a classroom
27. Which of the following characteristics are there in 
‘master oriented learners’?
(1) Low fear of failure, incremental view of ability
(2) High fear of failure, entity view of ability
(3) Low fear of failure, entity view of ability
(4) High fear of failure, incremental view of ability
28. Which of the following is a hindrance in effective 
problem-solving?
(1) Activating the right schema
(2) Response set
(3) Identification of the real problem
(4) Application of heuristics or general problem 
solving strategies
29. Encouraging students to compete among themselves 
in the classroom can have the following consequences. 
Which of these would you perceive to be harmful for 
a child’s growth?
(i) It creates ‘winners’ and ‘losers’ within a 
classroom
(ii) It increases the stress and anxiety level of 
students hampering their cognitive growth
(iii) It can create ‘star’ students within a classroom 
whose achievement can be source of pride for 
schools
(iv) It can prepare students to fit into the competitive, 
market based economics.
(1) (i), (ii) (2) (i), (ii), (iv)
(3) (i), (ii), (iii), (iv) (4) (ii), (iii), (iv)
  
30. The process of meaningful learning needs to be 
mediated by:
(1) Personal philosophy and perspective of the 
learner
(2) The knowledge ‘received’ by the learner from 
the teacher
(3) The requirements of the curriculum geared 
towards summative assessment
(4) Based primarily on views of expert
Mathematics and Science
31. The number of composite numbers between 101 and 
120 is:
(1) 13 (2) 14
(3) 15 (4) 16
32. A rational number between -
5
6
3
8
 and  is:
(1)
 
-
7
8
 
(2)
 
-
8
9
(3)
 
1
3
 
(4)
 
5
6
33. If 504 = 2
p
 × 3
q
 × 7
r
, then what is the value of 
(2p + q – r)?
(1) 5 (2) 6
(3) 7 (4) 8
34.
 
8 125 4
4 3 2 3 3

 
is equal to:
(1) 50 (2) 40
(3) 100 (4) 80
35. The LCM and HCF of two numbers are 1485 and 33, 
respectively. If one of the numbers is divided by 31, 
the quotient is 9 and the remainder is 18. What is the 
other number?
(1) 165 (2) 198
(3) 231 (4) 264
36. If x is subtracted from each of 26, 24, 56 and 49, 
then the numbers, so obtained in this order are in 
proportion. What is the value of
 
26
2
x -
?
(1) 10 (2) 11
(3) 12 (4) 15
37. A factor of common to both x
2
 + 7x + 12 and  
x
2
 – 5x – 36 is:
(1) x + 1 (2) x + 3
(3) x + 4 (4) x – 6
38. If 4
24
3
1
2
25
21
2



 ()
()
x
x
x
 = , then is equal to
(1) 
2
3
 
(2)
 
5
2
(3) 3 (4) 4
39. If (3x
2
 – 6x – 4) + (4x – 3 – x
2
) – (5 + x – 2x
2
) = 
(Ax
2
 + Bx – C), then what is the value of (A + B – C)?
(1) 10 (2) 12
(3) –11 (4) 16
40. If x + y = 3 and x
2
 + y
2
 = 29, then what is the value 
of
 
11
xy
+ ?
(1)
 
3
29
 
(2)
 
-
3
10
(3)
 
-
1
5
 
(4)
 
3
10
41. The external and internal radii of a cylindrical pipe 
are 16 cm and 15 cm, respectively. The length of the 
pipe is 63 cm. What is the volume (in cm
3
) of the 
material used in making it? Take 






22
7
(1) 5940 (2) 6039
(3) 6138 (4) 6820
42. The perimeter of a rhombus-shaped field is 400 m 
and the length of one its diagonals is 160 m. What is 
the area (in m
2
) of the field?
(1) 1600 (2) 4800
(2) 6400 (4) 9600
43. The perimeter of a trapezium is 188 cm and its area 
is 1625 m
2
. If the distance between the parallel sides 
is 25 cm, then what is sum of its non-parallel sides?
(1) 36 cm (2) 42 cm
(3) 48 cm (4) 58 cm
44. In DABC, AB = BC. Points D and E are on the side 
AC such taht AD = EC. Which of the following is 
correct?
(1) DABE ? DBCD (2) DABE ? DCBD
(3) DABE ? DBDC (4) DABE ? DDBC
45. The sum of all interior angles of a regular n sided 
polygon is 1800°. What is the value of 
n +4
2
?
(1) 6 (2) 7
(3) 8 (4) 9
46. The number of faces, vertices and edges of a 
polyhydron A are x, 10 and 15, respectively and the 
number of faces, vertices and edges of polyhydron 
B are 12, y and 30, respectively. What is the value of 
(x + y)?
(1) 24 (2) 25
(3) 27 (4) 29
47. In DABC, the bisectors of ?B and ?C meet at a point 
D. If ?BDC is 102°, then ?A =
(1) 24° (2) 32°
(3) 51° (4) 78°
48. BD is diagonal of a rhombus ABCD. If ?ADB = 50°, 
then the measure of ?DCB is
(1) 60° (2) 75°
(3) 80° (4) 100°
49. Two dice are thrown simultaneously. What is the 
probability that the sum of the numbers appearing 
on them is at least 7?
(1)
 
4
9
 
(2)
 
7
12
(3)
 
1
3
 
(4)
 
5
18
  
50. Let x be the median of the data below:
 13, 14, 15, 11, 9, 9, 8, 7, 16, 15, 5, 6, 16, 25, 16, 23, 28, 
17
 If 6 is replaced by 19 and 13 by 31 in the above data, 
then the median of the resulting data is y. What is 
the value of (3x – y)?
(1) 26 (2) 27
(3) 28 (4) 29
51. In order to incorporate Jean Piaget’s framework in 
teaching in mathematics, a teacher must
(1) initiate group discussions in the class.
(2) focus only on age-specific problem-solving task.
(3) schedule visits to the community.
(4) give enough manipulatives to work with in 
order to teach a concept.
52. Which of the following is NOT a characteristic of 
mathematic lesson planning?
(1) It makes teaching systematic and well organised.
(2) It helps students to develop the habit of 
undertaking immediate corrective measures.
(3) It helps teacher in developing insights about 
learning needs and abilities of children.
(4) It helps teachers to learn to foresee and tackle 
learning difficulties of children.
53. Which among the following is/are the features of an 
effective mathematics teacher?
a. Should be competent and confident in the 
subject matter.
b. Should be able to provide procedural knowledge 
to the students so that they can solve the 
problems.
c. Should be able to create a stimulating classroom 
environment conducive to learning.
d. Continues to investigates new mathematical 
knowledge and effective teaching strategies.
(1) a and d (2) a, b and c
(3) b, c and d (4) a, c and d
54. Which one of the following practice is NOT suitable 
for teaching Mathematics at upper primary level?
(1) Using mathematical laboratories
(2) Using mathematical games and puzzles
(3) Using open ended question
(4) Using only formal algorithms
55. After the class on ‘Ratio and Proportion’, Mr. Alok, 
a middle school mathematics teacher thought of 
conducting a diagnostic test to assess the students 
ability to identify situations of non-proportional 
thinking. Which of the following questions are most 
relevant to be inculded in this test?
(1) Sita and Soha are planting corns in the same 
farm. Sita plants 4 rows and Soha plants 6 rows. 
If Sita’s corn is ready in 8 weeks, how many 
weeks it will take for Soha’s corn to be ready?
(2) A school orders 3 cartons of milk for every 8 
students. If there are 624 studetns in the school, 
how many cartons of milk should be ordered?
(3) In a school the ratio of students to teachers is 
16 : 1. If there are 1248 students in a school, find 
the number of teachers
(4) 
4
615
 = 
x
 
find x.
56. A teacher uses the open-ended problems during 
teaching-learning process of mathematics. This 
practice helps to promote:
a. creative thinking
b. divergent thinking
c. equity in classroom
d. convergent thinking
 Which one of the following is correct ?
(1) Only c (2) a & b
(3) a, b & c (4) b & d
57. Which among the following statements is/are 
correct:
a. Every mathematical concept gives rise to more 
mathematical concepts.
b. Mathematical ideas grows from abstract to 
concrete.
c. Mathematical ideas grows from particular to 
general.
(1) a and b (2) a and c
(3) b and c (4) Only a
58. In a given data, which one of the measures of 
central tendencies would be affected by one or two 
extremely large or extremely small values outside 
the range of the rest of the data?
(1) Median (2) Mean
(3) Mode (4) Frequency
59. An middle school Mathematics teacher uses 
following strategies in her geometry classes.
(i) Using a set of wedges of about 15° to measure 
variety of angles.
(ii) Overlapping cut outs of various angles to find 
out angles with equal measures.
(iii) Measuring a straight line segment using pencils 
of different lengths.
The pedagogy used by the teacher focuses on:
(1) Teaching angle sum property of polygons.
(2) Non-numerical comparison of angle sizes
(3) Introducing the concept of line and line segments
(4) Using measurement activities with non-standard 
units to introduce standard units of measurement 
later.
60. Activities are an important tool for learning in 
elementary school mathematics classrooms because:
(a) engaging in Activities encourages strategic 
mathematical thinking and development of 
computational fluency
(b) activities serve as motivation for students to 
practice and tool for teachers to assess the 
students.
(c) activities help teachers to complete the syllabus 
in time.
(d) lot of free periods in time-table can be utilised 
through activities.
Choose the correct option:
(1) (a) & (c) (2) (a) & (b)
(3) (b), (c) and (d) (4) (b) & (d)
61. How many images will be formed if you stand 
between two plane mirrors positioned parallel to 
each other in a trial room of a garment shop?
(1) T wo (2) One
(3) Four (4) Infinite
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The nature of relationship between development 
and learning is viewed by Lev Vygotsky as having 
which of the following characteristics?
(1) It is linear in nature
(2) The relationship is static in nature
(3) Learning often precedes development
(4) Development often precedes learning
2. The developmental theorists who view process 
of development as having substantial plasticity 
throughout life are likely to emphasize the 
importance of :
(1) Heredity
(2) Environment and experience
(3) Domain specific intelligence
(4) Crystallized intelligence
3. ‘Discontinuity’ in the developmental process refers 
to:
(1) New ways of understanding the world that 
emerge during the process of development.
(2) Negative breaks in the developmental process.
(3) A downward negative trend in development.
(4) Interference in the developmental process.
4. Authoritative style of parenting/child rearing is 
based on:
(1) Making decisions for the child
(2) Not listing to a child’s point of view
(3) Making unreasonable demands from the child
(4) Engage in joint decision making wherever 
possible
5. According to Jean Piaget, the process of 
developmental change takes place through which of 
the following specific cognitive functions?
(1) Experience and social transmission
(2) Assimilation and Accommodation
(3) Maturation and Experience
(4) Social transmission and maturation
6. A 5 year old child was given 10 pebbles by her 
teacher. She put the pebbles in different formations 
e.g. a short line, a long line and a circle. She counted 
these pebbles repeatedly. Which of the following 
cognitive schemas is she attempting to attain 
according to Jean Piaget?
(1) Seriation
(2) Transitive inference
(3) Nominal scale
(4) Conservation of numbers
7. According to Lev Vygotsky, the process of cognitive 
development is mediated by:
(1) Cultural Tools (2) Cultural Modes
(3) Cultural Signifiers (4) Cultural Derivatives
8. Development in ‘Zone of Proximal Development’ 
according to Lev Vygotsky can be facilitated through:
(1) Collaborative dialogues
(2) Observational learning
(3) Reversible thinking
(4) Expository learning
9. The stage 5 of post-conventional morality as given 
by Lawrence Kohlberg is marked by:
(1) A free agreement to follow a social contract for 
the benefit of humanity
(2) A free exploration of ethics even beyond social 
contract
(3) Formulation of moral rules that bypass ethics
(4) The need to appear to be ‘a good person’
10. A progressive educator need to embody which of 
the following attributes within a classroom:
(1) Empathy, control, care
(2) Empathy, control, discipline
(3) Empathy, realness, care
(4) Empathy, realness, control
11. Which of the following are major concerns about 
using the concept of Intelligence Quotient to 
measure Children’s intelligence?
(i) Instability of Score
(ii) Cultural bias in tests
(iii) Product –orientedness of tests
(iv) Labelling of children
(1) ii, iii, iv (2) i, ii, iii, iv
(3) i, ii, iv (4) i, iii, iv
12. An experience of intra-personal intelligence within a 
classroom according to Howard Gardner refers to:
(1) Ability to handle social situations well
(2) Ability to understand meaning and rhythms of 
others’ speech
(3) Knowledge of one’s own complex feelings, 
strengths and weaknesses
(4) Appreciation of aesthetics and beauty.
13. The role of a teacher within the classroom is to 
encourage children to express which of the following 
attitudes related to gender?
(1) Gender stereotyping
(2) Gender constancy
(3) Adopt socially acceptable gender roles
(4) Gender - stereotype flexibility
14. In a classroom where students have diverse learning 
profiles, a teacher needs to :
(1) Identify normative level of teaching
(2) Find creative ways of engaging with diverse 
learning pace of students
(3) Create special achievement and remedial 
sections
(4) Do ability groupings within classroom
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
20th December, 2021
  
15. Formative assessment is generally used:
(1) To provide teachers with a rational basis for 
preparing tests /exam papers
(2) To help teachers plan better and provide 
supportive, non –evaluative feedback to students
(3) To help students develop good test taking skills
(4) To discriminate appropriately between ability 
levels of students
16. Multi-cultural Education is aimed at:
(1) Educational inequality for children form 
different cultures within a classroom.
(2) Educational equity for children form different 
cultures within a classroom.
(3) Showcasing dances / music of different cultures 
on specific occasions like annual day of school.
(4) Creating special sections in schools for children 
belonging to different cultures.
17. The education of learners from ‘disadvantaged’ 
and ‘deprived’ backgrounds can get negatively 
influenced by which of the following
(i) Stereotypes
(ii) Lack of understanding of Local Knowledge 
Systems
(iii) Top-down curriculum
(iv) Curriculum based on local culture and language
(1) (i) and (ii) (2) (i), (ii), and (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
18. Creative thinking is not facilitated by which of the 
following:
(1) Originality (2) T olerance of ambiguity
(3) Convergent thinking (4) Flexibility in thinking
19. A child with locomotion disability joins a primary 
school. Which of the following would not be a 
facilitative strategy for inclusion of the child within 
school?
(1) Provision of allocating class on the ground floor
(2) Empathy- building among peers
(3) Appropriate infrastructural modifications
(4) Showing sympathy for the lack of ability
20. Which of the following strategies would not be 
facilitative with respect to children who have 
specific hearing disabilities within regular schools?
(1) Relaxation in specific domains of learning, 
wherever possible
(2) Reasonable accommodation in curriculum
(3) Continual negative comments on errors 
committed
(4) Individualized educational planning
21. “Success” in schools should be broadened beyond 
specific academic achievement within school to 
include:
(1) Training given by coaching institutions.
(2) Development of socio – emotional capacities as 
an important part of education.
(3) Extra tests which can be done at home.
(4) Constant focus only on areas where a child is 
‘weak’.
22. Conceptual clarity can be said to have been achieved 
when a student can:
(1) Recall information given correctly
(2) Write down information correctly
(3) Clearly remember the definition of a concept
(4) Apply concepts learnt to real life situations
23. To enable children to become effective problem–
solvers it is critical that they are given opportunities 
to :
(1) Do experiments only in the format prescribed in 
the textbook
(2) Discover a concept through independent 
thinking
(3) Take extra tuitions wherever necessary
(4) Learn primarily through audio –visual aids and 
smart boards only
24. The errors that children make during the learning 
process can be:
(1) Used to ascertain their current ability and 
intelligence.
(2) Rectified immediately without feedback so that 
they are not repeated
(3) Seen as normal and acceptable part of cognitive 
development
(4) A distraction in the learning process and should 
be minimized quickly
25. What is the role of children’s emotions in learning?
(1) Emotions distract children from learning and 
therefore need to be controlled.
(2) There needs to be a clear disconnect between 
cognition and emotions of children for effective 
learning.
(3) Emotions give meaning to learning experiences 
and need to be integrated within learning 
process.
(4) Emotions make learning process ‘messy’ and 
unpredictable.
26. Children can be encouraged to become intrinsically 
motivated learners by:
(1) giving rewards for encouragement
(2) punishing them to avoid making mistakes
(3) learning form the mistakes made during learning 
process without any negative penalty
(4) encouraging teacher attention to performance 
by special achievers within a classroom
27. Which of the following characteristics are there in 
‘master oriented learners’?
(1) Low fear of failure, incremental view of ability
(2) High fear of failure, entity view of ability
(3) Low fear of failure, entity view of ability
(4) High fear of failure, incremental view of ability
28. Which of the following is a hindrance in effective 
problem-solving?
(1) Activating the right schema
(2) Response set
(3) Identification of the real problem
(4) Application of heuristics or general problem 
solving strategies
29. Encouraging students to compete among themselves 
in the classroom can have the following consequences. 
Which of these would you perceive to be harmful for 
a child’s growth?
(i) It creates ‘winners’ and ‘losers’ within a 
classroom
(ii) It increases the stress and anxiety level of 
students hampering their cognitive growth
(iii) It can create ‘star’ students within a classroom 
whose achievement can be source of pride for 
schools
(iv) It can prepare students to fit into the competitive, 
market based economics.
(1) (i), (ii) (2) (i), (ii), (iv)
(3) (i), (ii), (iii), (iv) (4) (ii), (iii), (iv)
  
30. The process of meaningful learning needs to be 
mediated by:
(1) Personal philosophy and perspective of the 
learner
(2) The knowledge ‘received’ by the learner from 
the teacher
(3) The requirements of the curriculum geared 
towards summative assessment
(4) Based primarily on views of expert
Mathematics and Science
31. The number of composite numbers between 101 and 
120 is:
(1) 13 (2) 14
(3) 15 (4) 16
32. A rational number between -
5
6
3
8
 and  is:
(1)
 
-
7
8
 
(2)
 
-
8
9
(3)
 
1
3
 
(4)
 
5
6
33. If 504 = 2
p
 × 3
q
 × 7
r
, then what is the value of 
(2p + q – r)?
(1) 5 (2) 6
(3) 7 (4) 8
34.
 
8 125 4
4 3 2 3 3

 
is equal to:
(1) 50 (2) 40
(3) 100 (4) 80
35. The LCM and HCF of two numbers are 1485 and 33, 
respectively. If one of the numbers is divided by 31, 
the quotient is 9 and the remainder is 18. What is the 
other number?
(1) 165 (2) 198
(3) 231 (4) 264
36. If x is subtracted from each of 26, 24, 56 and 49, 
then the numbers, so obtained in this order are in 
proportion. What is the value of
 
26
2
x -
?
(1) 10 (2) 11
(3) 12 (4) 15
37. A factor of common to both x
2
 + 7x + 12 and  
x
2
 – 5x – 36 is:
(1) x + 1 (2) x + 3
(3) x + 4 (4) x – 6
38. If 4
24
3
1
2
25
21
2



 ()
()
x
x
x
 = , then is equal to
(1) 
2
3
 
(2)
 
5
2
(3) 3 (4) 4
39. If (3x
2
 – 6x – 4) + (4x – 3 – x
2
) – (5 + x – 2x
2
) = 
(Ax
2
 + Bx – C), then what is the value of (A + B – C)?
(1) 10 (2) 12
(3) –11 (4) 16
40. If x + y = 3 and x
2
 + y
2
 = 29, then what is the value 
of
 
11
xy
+ ?
(1)
 
3
29
 
(2)
 
-
3
10
(3)
 
-
1
5
 
(4)
 
3
10
41. The external and internal radii of a cylindrical pipe 
are 16 cm and 15 cm, respectively. The length of the 
pipe is 63 cm. What is the volume (in cm
3
) of the 
material used in making it? Take 






22
7
(1) 5940 (2) 6039
(3) 6138 (4) 6820
42. The perimeter of a rhombus-shaped field is 400 m 
and the length of one its diagonals is 160 m. What is 
the area (in m
2
) of the field?
(1) 1600 (2) 4800
(2) 6400 (4) 9600
43. The perimeter of a trapezium is 188 cm and its area 
is 1625 m
2
. If the distance between the parallel sides 
is 25 cm, then what is sum of its non-parallel sides?
(1) 36 cm (2) 42 cm
(3) 48 cm (4) 58 cm
44. In DABC, AB = BC. Points D and E are on the side 
AC such taht AD = EC. Which of the following is 
correct?
(1) DABE ? DBCD (2) DABE ? DCBD
(3) DABE ? DBDC (4) DABE ? DDBC
45. The sum of all interior angles of a regular n sided 
polygon is 1800°. What is the value of 
n +4
2
?
(1) 6 (2) 7
(3) 8 (4) 9
46. The number of faces, vertices and edges of a 
polyhydron A are x, 10 and 15, respectively and the 
number of faces, vertices and edges of polyhydron 
B are 12, y and 30, respectively. What is the value of 
(x + y)?
(1) 24 (2) 25
(3) 27 (4) 29
47. In DABC, the bisectors of ?B and ?C meet at a point 
D. If ?BDC is 102°, then ?A =
(1) 24° (2) 32°
(3) 51° (4) 78°
48. BD is diagonal of a rhombus ABCD. If ?ADB = 50°, 
then the measure of ?DCB is
(1) 60° (2) 75°
(3) 80° (4) 100°
49. Two dice are thrown simultaneously. What is the 
probability that the sum of the numbers appearing 
on them is at least 7?
(1)
 
4
9
 
(2)
 
7
12
(3)
 
1
3
 
(4)
 
5
18
  
50. Let x be the median of the data below:
 13, 14, 15, 11, 9, 9, 8, 7, 16, 15, 5, 6, 16, 25, 16, 23, 28, 
17
 If 6 is replaced by 19 and 13 by 31 in the above data, 
then the median of the resulting data is y. What is 
the value of (3x – y)?
(1) 26 (2) 27
(3) 28 (4) 29
51. In order to incorporate Jean Piaget’s framework in 
teaching in mathematics, a teacher must
(1) initiate group discussions in the class.
(2) focus only on age-specific problem-solving task.
(3) schedule visits to the community.
(4) give enough manipulatives to work with in 
order to teach a concept.
52. Which of the following is NOT a characteristic of 
mathematic lesson planning?
(1) It makes teaching systematic and well organised.
(2) It helps students to develop the habit of 
undertaking immediate corrective measures.
(3) It helps teacher in developing insights about 
learning needs and abilities of children.
(4) It helps teachers to learn to foresee and tackle 
learning difficulties of children.
53. Which among the following is/are the features of an 
effective mathematics teacher?
a. Should be competent and confident in the 
subject matter.
b. Should be able to provide procedural knowledge 
to the students so that they can solve the 
problems.
c. Should be able to create a stimulating classroom 
environment conducive to learning.
d. Continues to investigates new mathematical 
knowledge and effective teaching strategies.
(1) a and d (2) a, b and c
(3) b, c and d (4) a, c and d
54. Which one of the following practice is NOT suitable 
for teaching Mathematics at upper primary level?
(1) Using mathematical laboratories
(2) Using mathematical games and puzzles
(3) Using open ended question
(4) Using only formal algorithms
55. After the class on ‘Ratio and Proportion’, Mr. Alok, 
a middle school mathematics teacher thought of 
conducting a diagnostic test to assess the students 
ability to identify situations of non-proportional 
thinking. Which of the following questions are most 
relevant to be inculded in this test?
(1) Sita and Soha are planting corns in the same 
farm. Sita plants 4 rows and Soha plants 6 rows. 
If Sita’s corn is ready in 8 weeks, how many 
weeks it will take for Soha’s corn to be ready?
(2) A school orders 3 cartons of milk for every 8 
students. If there are 624 studetns in the school, 
how many cartons of milk should be ordered?
(3) In a school the ratio of students to teachers is 
16 : 1. If there are 1248 students in a school, find 
the number of teachers
(4) 
4
615
 = 
x
 
find x.
56. A teacher uses the open-ended problems during 
teaching-learning process of mathematics. This 
practice helps to promote:
a. creative thinking
b. divergent thinking
c. equity in classroom
d. convergent thinking
 Which one of the following is correct ?
(1) Only c (2) a & b
(3) a, b & c (4) b & d
57. Which among the following statements is/are 
correct:
a. Every mathematical concept gives rise to more 
mathematical concepts.
b. Mathematical ideas grows from abstract to 
concrete.
c. Mathematical ideas grows from particular to 
general.
(1) a and b (2) a and c
(3) b and c (4) Only a
58. In a given data, which one of the measures of 
central tendencies would be affected by one or two 
extremely large or extremely small values outside 
the range of the rest of the data?
(1) Median (2) Mean
(3) Mode (4) Frequency
59. An middle school Mathematics teacher uses 
following strategies in her geometry classes.
(i) Using a set of wedges of about 15° to measure 
variety of angles.
(ii) Overlapping cut outs of various angles to find 
out angles with equal measures.
(iii) Measuring a straight line segment using pencils 
of different lengths.
The pedagogy used by the teacher focuses on:
(1) Teaching angle sum property of polygons.
(2) Non-numerical comparison of angle sizes
(3) Introducing the concept of line and line segments
(4) Using measurement activities with non-standard 
units to introduce standard units of measurement 
later.
60. Activities are an important tool for learning in 
elementary school mathematics classrooms because:
(a) engaging in Activities encourages strategic 
mathematical thinking and development of 
computational fluency
(b) activities serve as motivation for students to 
practice and tool for teachers to assess the 
students.
(c) activities help teachers to complete the syllabus 
in time.
(d) lot of free periods in time-table can be utilised 
through activities.
Choose the correct option:
(1) (a) & (c) (2) (a) & (b)
(3) (b), (c) and (d) (4) (b) & (d)
61. How many images will be formed if you stand 
between two plane mirrors positioned parallel to 
each other in a trial room of a garment shop?
(1) T wo (2) One
(3) Four (4) Infinite
  
62. A piece of copper is put in a test tube containing 
Hydrochloric acid. Which of the following 
statements will be true?
(1) No reaction takes place
(2) Reaction is slow
(3) “Pop Up” sound is heard
(4) Colour of solution changes
63. It is observed that a copper vessel gets corroded in 
rainy season to give
(1) reddish brown coating of copper dioxide and 
copper hydroxide
(2) greenish coating of copper hydroxide and 
copper carbonate
(3) white coating of copper carbonate and copper 
oxide
(4) green coating of copper sulphite and copper 
carbonate
64. Which of the following household substances will 
turn red litmus blue?
(a) Baking soda (b) Vinegar
(c) Lemon juice (d) Bleach
(1) a, b (2) b, c
(3) a, c (4) a, d
65. Identify the pair of materials that burns with a 
flame:
(1) Camphor , Magnesium (2) Camphor , Coal
(3) Coal, Kerosene (4) Kerosene, Charcoal
66. Which of the following statements is/are always true 
about the process of cloning?
A. It is possible only in animals.
B. It results in exact replication of a cell, a living 
part or an organism.
C. It results in a large number of off-springs.
(1) A & B (2) Only B
(3) B & C (4) Only A
67. Read the following carefully and choose correct 
option:
 Assertion (A): A plastic bottle, half filled with boiling 
water and tightly capped, thereafter gets crushed 
when allowed to rest for some time.
 Reason (R): Air pressure decreases with decrease in 
temperature in the bottle.
(1) Both A & R are correct and R is correct 
explanation for A
(2) Both A & R are correct but R is not correct 
explanation for A
(3) A is correct but R is not correct
(4) Both A and R are not correct
68. Choose the incorrect statement:
(1) Magnets lose their properties on heating.
(2) Bar magnets should be kept in pairs with their 
unlike poles on the same side.
(3) Similar poles of magnets repel each other.
(4) Nickel and Cobalt do not get attracted by 
magnet.
69. An object is placed in front of a convex lens in such 
a way that its real and magnified image is formed 
on the other side. If the top half of the convex lens is 
covered with a black/opaque paper then:
(1) the image magnification will be reduced.
(2) the top half of the image will vanish.
(3) the bottom half of the image will vanish.
(4) the sharpness of the image will be reduced.
70. A car that can travel at a maximum speed of  
120 km/hr takes 7 hours 45 minutes to cover a 
distance of 372 km. What is the difference between 
the maximum and the average speed of this car?
(1) 40 km/hr (2) 48 km/hr
(3) 72 km/hr (4) 120 km/hr
71. Which of the following statement is incorrect in the 
context of earthquakes?
(1) Most earthquakes are caused by sudden slipping 
of tectonic plates and by volcanic eruptions.
(2) An earthquake of the magnitude of 3.0 on 
Richter scale can trigger a tsunami.
(3) A major earthquake is generally followed by 
tremors in the same area.
(4) Study of earthquakes is known as Seismology.
72. Three objects A, B and C having different densities 
but same size are put in a liquid. Consider the 
following situations and arrange these in ascending 
order of buoyant force acting on each of the objects.
(i) A is completely submerged in liquid.
(ii) B floats which 
1
4






th
 
of its volume inside the 
liquid.
(iii) C floats with 
1
2






th
 
of its volume inside the 
liquid.
(1) B < C < A (2) B = C > A
(3) A < C < B (4) A = B = C
73. The major reason for using Bakelite for handles of 
pressure cooker is that
(1) it is bad conductor of heat.
(2) it is bad conductor of electricity.
(3) it is unbreakable
(4) it is light in weight
74. The vitamins which also act as anti-oxidants are:
(1) A, B and D (2) A, C and E
(3) D, B and C (4) D, E and K
75. The following table depicts the presence or absence 
of certain cell organelles in three cells A, B, C. What 
could A, B, C be?
Part of a cell A B C
Cytoplasm 3 3 3
Nucleus 3 3 3
Cell wall 3 7 3
Cell membrane 3 3 3
Chloroplast 3 7 7
(1) A-Plant Cell; B-Animal Cell; C-Plant Cell
(2) A-Animal Cell; B-Plant Cell; C-Animal Cell
(3) A-Plant Cell; B-Animal Cell; C-Animal Cell
(4) A-Plant Cell; B-Plant Cell; C-Animal Cell
76. Consider the following statements and choose the 
correct option:
A. Measles is caused by Bacteria
B. Malaria is caused by Plasmodium
C. Typhoid is caused by Bacteria
D. Leprosy is caused by Virus
(1) A, C (2) B, C
(3) B, C, D (4) A, C, D