CTET Solved Question Paper - 2 (30 Jan - 2023) | 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. Development is a ............... process that begins .......... 
(1) continuous life-long; at the time of conception
(2) continuous life-long; at birth
(3) process during childhood; at the time of 
conception
(4) process during childhood; at birth
2. Assertion (A) : A child has to have some neuromotor 
maturation before she learns to catch a ball.
 Reason (R) : Learning is dependent upon 
development.
 Choose the correct option. 
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
3. Socialization is a ........... process in which connections 
among various agencies of socialization are .............. .
(1) simple; important
(2) simple; not so important
(3) complex; important
(4) complex; not so important
4. Children in ........... stage can solve concrete problems 
in a logical fashion but have difficulty thinking 
hypothetically.
(1) Sensorimotor (2) Pre-operational
(3) Concrete operational (4) Formal operational
5. According to Jean Piaget, children learn meaningfully:
(1) through the process of conditioning of stimuli 
and response.
(2) when offered rewards and punishment.
(3) when adults take control and provide 
explanations.
(4) through self-initiated activity and discovery.
6. Which of the following statements in not correct 
about Piaget's proposal about sequence of stages ?
(1) All aspects of cognitive change in an integrated 
fashion, following a similar course.
(2) Stages can be skipped.
(3) Stages occur in a fixed order.
(4) Stages are universal; they are assumed to 
characterize children everywhere.
7. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) focus on how cultural factors and gender 
influences moral development
(2) good or bad is determined by the consequences 
of obeying or disobeying rules
(3) the individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions
(4) Self-chosen ethical principles that are universal
8. Lev Vygotsky suggested that children's cognitive 
development is .............. by interactions with people 
who are more capable.
(1) not impacted (2) negatively impacted
(3) facilitated (4) decreased
9. According to Lev Vygotsky, learning :
(1) is a measurable change in behaviour.
(2) cannot be separated from it's social context.
(3) depends on positive and negative reinforcement.
(4) includes attentional processes and stores of 
memory.
10. The abilities in Intrapersonal intelligence include : 
(1) capacity to think in images and pictures, to 
visualise accurately and abstractly.
(2) awareness of one's feelings and knowing one's 
capabilities.
(3) sensitivity to rhythm, pitch, meter, tone, melody.
(4) ability to distinguish between specific pitches, 
tones and rhythms that other may miss.
11. An architect designing a city and an artist working 
on an intricate drawing would require high :
(1) Spatial intelligence 
(2) Linguistic intelligence
(3) Musical intelligence 
(4) Intrapersonal intelligence
12. In a progressive classroom, the curriculum :
(1) is rigid and highly structured without giving any 
autonomy to the child.
(2) is organized into fragmented subjects with no 
correlation amongst them.
(3) is organized according to the capabilities and 
interests of the children.
(4) is presented in disconnected chunks of 
information.
13. A teacher tells the boys in a co-education class- "Do 
not take up home science in co-curricular activities, 
you are not a girl". This would encourage :
(1) gender equity (2) gender stereotyping
(3) gender role flexibility (4) gender equality
14. Assessment of conceptual clarity of a student can be 
effectively done by :
(1) Asking the student to recite the definition
(2) Asking the student to think of application of the 
concept to daily life
(3) Asking the student to copy from the board
(4) Asking the student to memorize another student's 
response
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
30th January, 2023
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Development is a ............... process that begins .......... 
(1) continuous life-long; at the time of conception
(2) continuous life-long; at birth
(3) process during childhood; at the time of 
conception
(4) process during childhood; at birth
2. Assertion (A) : A child has to have some neuromotor 
maturation before she learns to catch a ball.
 Reason (R) : Learning is dependent upon 
development.
 Choose the correct option. 
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
3. Socialization is a ........... process in which connections 
among various agencies of socialization are .............. .
(1) simple; important
(2) simple; not so important
(3) complex; important
(4) complex; not so important
4. Children in ........... stage can solve concrete problems 
in a logical fashion but have difficulty thinking 
hypothetically.
(1) Sensorimotor (2) Pre-operational
(3) Concrete operational (4) Formal operational
5. According to Jean Piaget, children learn meaningfully:
(1) through the process of conditioning of stimuli 
and response.
(2) when offered rewards and punishment.
(3) when adults take control and provide 
explanations.
(4) through self-initiated activity and discovery.
6. Which of the following statements in not correct 
about Piaget's proposal about sequence of stages ?
(1) All aspects of cognitive change in an integrated 
fashion, following a similar course.
(2) Stages can be skipped.
(3) Stages occur in a fixed order.
(4) Stages are universal; they are assumed to 
characterize children everywhere.
7. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) focus on how cultural factors and gender 
influences moral development
(2) good or bad is determined by the consequences 
of obeying or disobeying rules
(3) the individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions
(4) Self-chosen ethical principles that are universal
8. Lev Vygotsky suggested that children's cognitive 
development is .............. by interactions with people 
who are more capable.
(1) not impacted (2) negatively impacted
(3) facilitated (4) decreased
9. According to Lev Vygotsky, learning :
(1) is a measurable change in behaviour.
(2) cannot be separated from it's social context.
(3) depends on positive and negative reinforcement.
(4) includes attentional processes and stores of 
memory.
10. The abilities in Intrapersonal intelligence include : 
(1) capacity to think in images and pictures, to 
visualise accurately and abstractly.
(2) awareness of one's feelings and knowing one's 
capabilities.
(3) sensitivity to rhythm, pitch, meter, tone, melody.
(4) ability to distinguish between specific pitches, 
tones and rhythms that other may miss.
11. An architect designing a city and an artist working 
on an intricate drawing would require high :
(1) Spatial intelligence 
(2) Linguistic intelligence
(3) Musical intelligence 
(4) Intrapersonal intelligence
12. In a progressive classroom, the curriculum :
(1) is rigid and highly structured without giving any 
autonomy to the child.
(2) is organized into fragmented subjects with no 
correlation amongst them.
(3) is organized according to the capabilities and 
interests of the children.
(4) is presented in disconnected chunks of 
information.
13. A teacher tells the boys in a co-education class- "Do 
not take up home science in co-curricular activities, 
you are not a girl". This would encourage :
(1) gender equity (2) gender stereotyping
(3) gender role flexibility (4) gender equality
14. Assessment of conceptual clarity of a student can be 
effectively done by :
(1) Asking the student to recite the definition
(2) Asking the student to think of application of the 
concept to daily life
(3) Asking the student to copy from the board
(4) Asking the student to memorize another student's 
response
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
30th January, 2023
  
15. To encourage critical thinking a teacher should :
(1) Accept multiple perspectives
(2) Discourage discussions
(3) Be intolerant to dissent
(4) Emphasise convergent thinking
16. Inclusion as a philosophy and practice is situated in 
the context of diversity which includes :
(i) Linguistic diversity 
(ii) Gender diversity
(iii) Socio-cultural diversity 
(iv) 'Abiltiy' and 'disability'
(1) (i), (iii) (2) (i), (iv)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
17. Which of the following is NOT an effective 
pedagogical strategy to cater to students from 
disadvantaged backgrounds ?
(1) Link learning activities with the social and 
cultural environment of the students
(2) Dismiss expression in local language
(3) Make it compulsory for them to take tutions at 
home
(4) Focus on reproduction of school knowledge as it 
through repeated practice
18. Students struggling with .......... often face difficulties 
in mathematical concepts and computation.
(1) Dyscalculia (2) Dyslexia
(3) Dysgraphia (4) Autism
19. An assistive technology to aid vision is :
(1) Large print worksheets
(2) Voice activated computer
(3) Calculators 
(4) Magnifying glass
20. T ypical identifying characteristics of creative children 
include :
(1) Flexibility, fluency and originality of ideas
(2) High intellectual, social and emotional maturity
(3) Preference for simple tasks and low risk taking
(4) Convergent and rigid thinking
21. Multiple ways of .......... are of importance for 
successful implementation of Universal Design for 
Learning ?
(1) Representation (2) Action
(3) Engagement (4) Labelling
22. What skills do contemporary policies of education 
such as National Education Policy 2020 propose 
should be developed in children ?
(1) Critical thinking 
(2) Recall and reproduction
(3) Learning for exams 
(4) Rote memorisation
23. Meaningful learning of students in NOT promoted 
by encouraging children for :
(1) Exploration and experimentation 
(2) Metacognition
(3) Discussion and debate
(4) Passive listening
24. The broad perspective of schools and especially 
teachers to understand failure of students should be 
that it : 
(1) reflects poorly on the students' academic 
capabilities.
(2) reflects poorly on the teacher's abilities.
(3) is a systemic issue and there is need to reflect on 
the schools systems.
(4) is an issue of communities since children 
belonging to poor economic class cannot be 
educated in the same set-up as other children.
25. Children form naive theories or alternative 
conceptions because :
(1) their thinking is much inferior to adults.
(2) they are blank slates.
(3) they are thinking beings who are constructing 
knowledge by interacting with the world.
(4) their thinking is illogical and irrational.
26. When a student is stuck on one way of representing 
a problem it is called :
(1) working backward strategy
(2) functional fixedness
(3) response set 
(4) analogical thinking
27. Assertion (A) : While teaching problem-solving, 
teachers should discourage the children to think 
about their own thinking and focusing on how to 
learn.
 Reason (R) : Development of metacognitive abilities 
hinder problem-solving.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
28. Assertion (A) : Teachers should tell middle school 
students exactly in details what they have to do 
including what, how and when to learn.
 Reason (R) : Middle school children do not have the 
capacity to self-regulate their learning.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
29. Thinking of ability as ......... as failure as ......... 
motivates the students to work harder by putting in 
more efforts.
(1) Fixed; humiliating 
(2) Fixed; an opportunity to learn
(3) Incremental; humiliating
(4) Incremental; opportunity to learn
30. Which of the following factors influences learning ?
(i) Socio-cultural context of the student
(ii) Age of the student
(iii) Pedagogical strategies to teach a concept
(iv) Teacher's beliefs about the student's ability
(1) (i), (iii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
Mathematics and Science
31. The value of 18 ÷ 3 + 5 × 6 – 1 is:
(1) 31 (2) 65
(3) 40 (4) 35
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Development is a ............... process that begins .......... 
(1) continuous life-long; at the time of conception
(2) continuous life-long; at birth
(3) process during childhood; at the time of 
conception
(4) process during childhood; at birth
2. Assertion (A) : A child has to have some neuromotor 
maturation before she learns to catch a ball.
 Reason (R) : Learning is dependent upon 
development.
 Choose the correct option. 
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
3. Socialization is a ........... process in which connections 
among various agencies of socialization are .............. .
(1) simple; important
(2) simple; not so important
(3) complex; important
(4) complex; not so important
4. Children in ........... stage can solve concrete problems 
in a logical fashion but have difficulty thinking 
hypothetically.
(1) Sensorimotor (2) Pre-operational
(3) Concrete operational (4) Formal operational
5. According to Jean Piaget, children learn meaningfully:
(1) through the process of conditioning of stimuli 
and response.
(2) when offered rewards and punishment.
(3) when adults take control and provide 
explanations.
(4) through self-initiated activity and discovery.
6. Which of the following statements in not correct 
about Piaget's proposal about sequence of stages ?
(1) All aspects of cognitive change in an integrated 
fashion, following a similar course.
(2) Stages can be skipped.
(3) Stages occur in a fixed order.
(4) Stages are universal; they are assumed to 
characterize children everywhere.
7. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) focus on how cultural factors and gender 
influences moral development
(2) good or bad is determined by the consequences 
of obeying or disobeying rules
(3) the individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions
(4) Self-chosen ethical principles that are universal
8. Lev Vygotsky suggested that children's cognitive 
development is .............. by interactions with people 
who are more capable.
(1) not impacted (2) negatively impacted
(3) facilitated (4) decreased
9. According to Lev Vygotsky, learning :
(1) is a measurable change in behaviour.
(2) cannot be separated from it's social context.
(3) depends on positive and negative reinforcement.
(4) includes attentional processes and stores of 
memory.
10. The abilities in Intrapersonal intelligence include : 
(1) capacity to think in images and pictures, to 
visualise accurately and abstractly.
(2) awareness of one's feelings and knowing one's 
capabilities.
(3) sensitivity to rhythm, pitch, meter, tone, melody.
(4) ability to distinguish between specific pitches, 
tones and rhythms that other may miss.
11. An architect designing a city and an artist working 
on an intricate drawing would require high :
(1) Spatial intelligence 
(2) Linguistic intelligence
(3) Musical intelligence 
(4) Intrapersonal intelligence
12. In a progressive classroom, the curriculum :
(1) is rigid and highly structured without giving any 
autonomy to the child.
(2) is organized into fragmented subjects with no 
correlation amongst them.
(3) is organized according to the capabilities and 
interests of the children.
(4) is presented in disconnected chunks of 
information.
13. A teacher tells the boys in a co-education class- "Do 
not take up home science in co-curricular activities, 
you are not a girl". This would encourage :
(1) gender equity (2) gender stereotyping
(3) gender role flexibility (4) gender equality
14. Assessment of conceptual clarity of a student can be 
effectively done by :
(1) Asking the student to recite the definition
(2) Asking the student to think of application of the 
concept to daily life
(3) Asking the student to copy from the board
(4) Asking the student to memorize another student's 
response
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
30th January, 2023
  
15. To encourage critical thinking a teacher should :
(1) Accept multiple perspectives
(2) Discourage discussions
(3) Be intolerant to dissent
(4) Emphasise convergent thinking
16. Inclusion as a philosophy and practice is situated in 
the context of diversity which includes :
(i) Linguistic diversity 
(ii) Gender diversity
(iii) Socio-cultural diversity 
(iv) 'Abiltiy' and 'disability'
(1) (i), (iii) (2) (i), (iv)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
17. Which of the following is NOT an effective 
pedagogical strategy to cater to students from 
disadvantaged backgrounds ?
(1) Link learning activities with the social and 
cultural environment of the students
(2) Dismiss expression in local language
(3) Make it compulsory for them to take tutions at 
home
(4) Focus on reproduction of school knowledge as it 
through repeated practice
18. Students struggling with .......... often face difficulties 
in mathematical concepts and computation.
(1) Dyscalculia (2) Dyslexia
(3) Dysgraphia (4) Autism
19. An assistive technology to aid vision is :
(1) Large print worksheets
(2) Voice activated computer
(3) Calculators 
(4) Magnifying glass
20. T ypical identifying characteristics of creative children 
include :
(1) Flexibility, fluency and originality of ideas
(2) High intellectual, social and emotional maturity
(3) Preference for simple tasks and low risk taking
(4) Convergent and rigid thinking
21. Multiple ways of .......... are of importance for 
successful implementation of Universal Design for 
Learning ?
(1) Representation (2) Action
(3) Engagement (4) Labelling
22. What skills do contemporary policies of education 
such as National Education Policy 2020 propose 
should be developed in children ?
(1) Critical thinking 
(2) Recall and reproduction
(3) Learning for exams 
(4) Rote memorisation
23. Meaningful learning of students in NOT promoted 
by encouraging children for :
(1) Exploration and experimentation 
(2) Metacognition
(3) Discussion and debate
(4) Passive listening
24. The broad perspective of schools and especially 
teachers to understand failure of students should be 
that it : 
(1) reflects poorly on the students' academic 
capabilities.
(2) reflects poorly on the teacher's abilities.
(3) is a systemic issue and there is need to reflect on 
the schools systems.
(4) is an issue of communities since children 
belonging to poor economic class cannot be 
educated in the same set-up as other children.
25. Children form naive theories or alternative 
conceptions because :
(1) their thinking is much inferior to adults.
(2) they are blank slates.
(3) they are thinking beings who are constructing 
knowledge by interacting with the world.
(4) their thinking is illogical and irrational.
26. When a student is stuck on one way of representing 
a problem it is called :
(1) working backward strategy
(2) functional fixedness
(3) response set 
(4) analogical thinking
27. Assertion (A) : While teaching problem-solving, 
teachers should discourage the children to think 
about their own thinking and focusing on how to 
learn.
 Reason (R) : Development of metacognitive abilities 
hinder problem-solving.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
28. Assertion (A) : Teachers should tell middle school 
students exactly in details what they have to do 
including what, how and when to learn.
 Reason (R) : Middle school children do not have the 
capacity to self-regulate their learning.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
29. Thinking of ability as ......... as failure as ......... 
motivates the students to work harder by putting in 
more efforts.
(1) Fixed; humiliating 
(2) Fixed; an opportunity to learn
(3) Incremental; humiliating
(4) Incremental; opportunity to learn
30. Which of the following factors influences learning ?
(i) Socio-cultural context of the student
(ii) Age of the student
(iii) Pedagogical strategies to teach a concept
(iv) Teacher's beliefs about the student's ability
(1) (i), (iii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
Mathematics and Science
31. The value of 18 ÷ 3 + 5 × 6 – 1 is:
(1) 31 (2) 65
(3) 40 (4) 35
  
32. If
 
3
5
3
5
3
5
53 53




















=
x
, then the value of x is:
(1) 1 (2) 0
(3) 2 (4) 
2
5
33. If 21168 = p
4
q
3
r
2
, where p, q and r are prime numbers, 
then the value of (4p + 3q – 2r) is:
(1) 6 (2) 7
(3) 2 (4) 3
34. The value of [(– 20) ÷ 4] × (– 2) + 6 × 3 – 1 is:
(1) 27 (2) 22
(3) 32 (4) 30
35. The fractions 
30
25
27
81
22
25
45
22
,, and 
 
are written in 
ascending order as:
(1)
 
27
81
30
25
45
22
22
25
,, ,
 
(2)
 
27
81
45
22
22
25
30
25
,,,
(3)
 
45
22
30
25
22
25
27
81
,, ,
 
(4)
 
27
81
22
25
30
25
45
22
,, ,
36. The marked price of an article is ` 420. A shopkeeper 
gives a discount of 15% on the marked price and still 
makes a profit of 19%. What is the cost price of the 
article?
(1) ` 270 (2) ` 290
(3) ` 300 (4) ` 320
37. If x + 
1
x
 
= 4, then the value of x
4
 + 
1
4
x
 is:
(1) 128 (2) 194
(3) 196 (4) 256
38. One of the factors of the expression x
2
y – xy
2
 + x – y is:
(1) x
2
 – y
2
 (2) x + y
(3) xy + 1 (4) xy
39. In the product (x – 2) (x – 3) (x – 5), the co-efficient 
of x
2
 is:
(1) – 30 (2) 10
(3) 1 (4) – 10
40. If x
2
 + y
2
 = 6 and x
3
y + xy
3
 + x
2
 + y
2
 = 36, then the 
value of xy is:
(1) 4 (2) 3
(3) 5 (4) 6
41. Which of the following is a Pythagorean triplet?
(1) 12, 15, 19 (2) 8, 13, 18
(3) 5, 12, 13 (4) 14, 20, 24
42. If one of the angles of a triangle is 120°, then the angle 
between the bisectors of the other two angles is:
(1) 160° (2) 120°
(3) 130° (4) 150°
43. A regular polygon of 6 sides has:
(1) 3 lines of symmetry (2) 6 lines of symmetry
(3) 12 lines of symmetry (4) 9 lines of symmetry
44. In triangles ABC and DEF, ?C = ?F, AC = DF and 
BC = EF. If AB = 4x – 2 and DE = 3x – 1, then the 
value of x is:
(1) 1 (2) 2
(3) 3 (4) 4
45. Which of the following triplets can form a 
polyhedron, if the numbers represent the number of 
faces, vertices and edges respectively?
(1) 4, 4 and 5 (2) 6, 8 and 12
(3) 6, 8 and 10 (4) 5, 6 and 8
46. The heights of two right circular cylinders are in the 
ratio of 8 : 5 and their radii of bases are in the ratio 
of 1 : 2. The ratio of their volumes is:
(1) 2 : 5 (2) 1 : 4
(3) 16 : 25 (4) 9 : 7
47. If each edge of a solid cube is increased by 100%, 
then the percentage increase in its surface area is:
(1) 100 (2) 200
(3) 300 (4) 400
48. If the sum of the parallel sides of a trapezium is 
40 cm and its height is 10 cm, then the area of the 
trapezium is:
(1) 400 cm
2
 (2) 200 cm
2
(3) 40 cm
2
 (4) 100 cm
2
49. Following table shows marks obtained by 40 
students. What is the mode of this data?
Marks obtained 42 36 30 45 50
No. of students 7 10 13 8 2
(1) 50 (2) 30
(3) 10 (4) 36
50. Cards numbered as 12, 13, 14, ..., 51, (one number on 
one card) are kept in a box and mixed thoroughly. 
One card is chosen at random from the box. What is 
the probability that the number on the chosen card 
is a composite number between 21 and 42?
(1)
 
1
2
 
(2)
 
7
20
(3)
 
3
8
 
(4)
 
17
40
51. Great Indian mathematician who gave approximate 
value of p correct to 4 decimal places as 3.1416 is:
(1) Aryabhatta (2) Mahavira
(3) Brahamagupta (4) Srinivasa Ramanujan
52. Which of the following method is most suitable in 
estab-lishing the formula for compound interest in 
class 8?
(1) Laboratory 
(2) Deductive method
(3) Problem solving method 
(4) Inductive method
53. According to V an Hiele’s levels of geometric thinking 
at which level students will be able to draw a right-
angled triangle and also name it as Right Scalene 
T riangle?
(1) Visualization (2) Analysis
(3) Relationship (4) Axiomatic
54. Which of the following is Not a preventive method 
for rectifying careless error?
(1) Teaching a concept in multiple ways
(2) Encourage leaners to learn different steps in 
problem solving
(3) Encourage learners to take the help of calculator 
and pay attention during problem solving
(4) Encourage learners to practice a number of 
similar questions
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Development is a ............... process that begins .......... 
(1) continuous life-long; at the time of conception
(2) continuous life-long; at birth
(3) process during childhood; at the time of 
conception
(4) process during childhood; at birth
2. Assertion (A) : A child has to have some neuromotor 
maturation before she learns to catch a ball.
 Reason (R) : Learning is dependent upon 
development.
 Choose the correct option. 
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
3. Socialization is a ........... process in which connections 
among various agencies of socialization are .............. .
(1) simple; important
(2) simple; not so important
(3) complex; important
(4) complex; not so important
4. Children in ........... stage can solve concrete problems 
in a logical fashion but have difficulty thinking 
hypothetically.
(1) Sensorimotor (2) Pre-operational
(3) Concrete operational (4) Formal operational
5. According to Jean Piaget, children learn meaningfully:
(1) through the process of conditioning of stimuli 
and response.
(2) when offered rewards and punishment.
(3) when adults take control and provide 
explanations.
(4) through self-initiated activity and discovery.
6. Which of the following statements in not correct 
about Piaget's proposal about sequence of stages ?
(1) All aspects of cognitive change in an integrated 
fashion, following a similar course.
(2) Stages can be skipped.
(3) Stages occur in a fixed order.
(4) Stages are universal; they are assumed to 
characterize children everywhere.
7. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) focus on how cultural factors and gender 
influences moral development
(2) good or bad is determined by the consequences 
of obeying or disobeying rules
(3) the individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions
(4) Self-chosen ethical principles that are universal
8. Lev Vygotsky suggested that children's cognitive 
development is .............. by interactions with people 
who are more capable.
(1) not impacted (2) negatively impacted
(3) facilitated (4) decreased
9. According to Lev Vygotsky, learning :
(1) is a measurable change in behaviour.
(2) cannot be separated from it's social context.
(3) depends on positive and negative reinforcement.
(4) includes attentional processes and stores of 
memory.
10. The abilities in Intrapersonal intelligence include : 
(1) capacity to think in images and pictures, to 
visualise accurately and abstractly.
(2) awareness of one's feelings and knowing one's 
capabilities.
(3) sensitivity to rhythm, pitch, meter, tone, melody.
(4) ability to distinguish between specific pitches, 
tones and rhythms that other may miss.
11. An architect designing a city and an artist working 
on an intricate drawing would require high :
(1) Spatial intelligence 
(2) Linguistic intelligence
(3) Musical intelligence 
(4) Intrapersonal intelligence
12. In a progressive classroom, the curriculum :
(1) is rigid and highly structured without giving any 
autonomy to the child.
(2) is organized into fragmented subjects with no 
correlation amongst them.
(3) is organized according to the capabilities and 
interests of the children.
(4) is presented in disconnected chunks of 
information.
13. A teacher tells the boys in a co-education class- "Do 
not take up home science in co-curricular activities, 
you are not a girl". This would encourage :
(1) gender equity (2) gender stereotyping
(3) gender role flexibility (4) gender equality
14. Assessment of conceptual clarity of a student can be 
effectively done by :
(1) Asking the student to recite the definition
(2) Asking the student to think of application of the 
concept to daily life
(3) Asking the student to copy from the board
(4) Asking the student to memorize another student's 
response
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
30th January, 2023
  
15. To encourage critical thinking a teacher should :
(1) Accept multiple perspectives
(2) Discourage discussions
(3) Be intolerant to dissent
(4) Emphasise convergent thinking
16. Inclusion as a philosophy and practice is situated in 
the context of diversity which includes :
(i) Linguistic diversity 
(ii) Gender diversity
(iii) Socio-cultural diversity 
(iv) 'Abiltiy' and 'disability'
(1) (i), (iii) (2) (i), (iv)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
17. Which of the following is NOT an effective 
pedagogical strategy to cater to students from 
disadvantaged backgrounds ?
(1) Link learning activities with the social and 
cultural environment of the students
(2) Dismiss expression in local language
(3) Make it compulsory for them to take tutions at 
home
(4) Focus on reproduction of school knowledge as it 
through repeated practice
18. Students struggling with .......... often face difficulties 
in mathematical concepts and computation.
(1) Dyscalculia (2) Dyslexia
(3) Dysgraphia (4) Autism
19. An assistive technology to aid vision is :
(1) Large print worksheets
(2) Voice activated computer
(3) Calculators 
(4) Magnifying glass
20. T ypical identifying characteristics of creative children 
include :
(1) Flexibility, fluency and originality of ideas
(2) High intellectual, social and emotional maturity
(3) Preference for simple tasks and low risk taking
(4) Convergent and rigid thinking
21. Multiple ways of .......... are of importance for 
successful implementation of Universal Design for 
Learning ?
(1) Representation (2) Action
(3) Engagement (4) Labelling
22. What skills do contemporary policies of education 
such as National Education Policy 2020 propose 
should be developed in children ?
(1) Critical thinking 
(2) Recall and reproduction
(3) Learning for exams 
(4) Rote memorisation
23. Meaningful learning of students in NOT promoted 
by encouraging children for :
(1) Exploration and experimentation 
(2) Metacognition
(3) Discussion and debate
(4) Passive listening
24. The broad perspective of schools and especially 
teachers to understand failure of students should be 
that it : 
(1) reflects poorly on the students' academic 
capabilities.
(2) reflects poorly on the teacher's abilities.
(3) is a systemic issue and there is need to reflect on 
the schools systems.
(4) is an issue of communities since children 
belonging to poor economic class cannot be 
educated in the same set-up as other children.
25. Children form naive theories or alternative 
conceptions because :
(1) their thinking is much inferior to adults.
(2) they are blank slates.
(3) they are thinking beings who are constructing 
knowledge by interacting with the world.
(4) their thinking is illogical and irrational.
26. When a student is stuck on one way of representing 
a problem it is called :
(1) working backward strategy
(2) functional fixedness
(3) response set 
(4) analogical thinking
27. Assertion (A) : While teaching problem-solving, 
teachers should discourage the children to think 
about their own thinking and focusing on how to 
learn.
 Reason (R) : Development of metacognitive abilities 
hinder problem-solving.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
28. Assertion (A) : Teachers should tell middle school 
students exactly in details what they have to do 
including what, how and when to learn.
 Reason (R) : Middle school children do not have the 
capacity to self-regulate their learning.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
29. Thinking of ability as ......... as failure as ......... 
motivates the students to work harder by putting in 
more efforts.
(1) Fixed; humiliating 
(2) Fixed; an opportunity to learn
(3) Incremental; humiliating
(4) Incremental; opportunity to learn
30. Which of the following factors influences learning ?
(i) Socio-cultural context of the student
(ii) Age of the student
(iii) Pedagogical strategies to teach a concept
(iv) Teacher's beliefs about the student's ability
(1) (i), (iii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
Mathematics and Science
31. The value of 18 ÷ 3 + 5 × 6 – 1 is:
(1) 31 (2) 65
(3) 40 (4) 35
  
32. If
 
3
5
3
5
3
5
53 53




















=
x
, then the value of x is:
(1) 1 (2) 0
(3) 2 (4) 
2
5
33. If 21168 = p
4
q
3
r
2
, where p, q and r are prime numbers, 
then the value of (4p + 3q – 2r) is:
(1) 6 (2) 7
(3) 2 (4) 3
34. The value of [(– 20) ÷ 4] × (– 2) + 6 × 3 – 1 is:
(1) 27 (2) 22
(3) 32 (4) 30
35. The fractions 
30
25
27
81
22
25
45
22
,, and 
 
are written in 
ascending order as:
(1)
 
27
81
30
25
45
22
22
25
,, ,
 
(2)
 
27
81
45
22
22
25
30
25
,,,
(3)
 
45
22
30
25
22
25
27
81
,, ,
 
(4)
 
27
81
22
25
30
25
45
22
,, ,
36. The marked price of an article is ` 420. A shopkeeper 
gives a discount of 15% on the marked price and still 
makes a profit of 19%. What is the cost price of the 
article?
(1) ` 270 (2) ` 290
(3) ` 300 (4) ` 320
37. If x + 
1
x
 
= 4, then the value of x
4
 + 
1
4
x
 is:
(1) 128 (2) 194
(3) 196 (4) 256
38. One of the factors of the expression x
2
y – xy
2
 + x – y is:
(1) x
2
 – y
2
 (2) x + y
(3) xy + 1 (4) xy
39. In the product (x – 2) (x – 3) (x – 5), the co-efficient 
of x
2
 is:
(1) – 30 (2) 10
(3) 1 (4) – 10
40. If x
2
 + y
2
 = 6 and x
3
y + xy
3
 + x
2
 + y
2
 = 36, then the 
value of xy is:
(1) 4 (2) 3
(3) 5 (4) 6
41. Which of the following is a Pythagorean triplet?
(1) 12, 15, 19 (2) 8, 13, 18
(3) 5, 12, 13 (4) 14, 20, 24
42. If one of the angles of a triangle is 120°, then the angle 
between the bisectors of the other two angles is:
(1) 160° (2) 120°
(3) 130° (4) 150°
43. A regular polygon of 6 sides has:
(1) 3 lines of symmetry (2) 6 lines of symmetry
(3) 12 lines of symmetry (4) 9 lines of symmetry
44. In triangles ABC and DEF, ?C = ?F, AC = DF and 
BC = EF. If AB = 4x – 2 and DE = 3x – 1, then the 
value of x is:
(1) 1 (2) 2
(3) 3 (4) 4
45. Which of the following triplets can form a 
polyhedron, if the numbers represent the number of 
faces, vertices and edges respectively?
(1) 4, 4 and 5 (2) 6, 8 and 12
(3) 6, 8 and 10 (4) 5, 6 and 8
46. The heights of two right circular cylinders are in the 
ratio of 8 : 5 and their radii of bases are in the ratio 
of 1 : 2. The ratio of their volumes is:
(1) 2 : 5 (2) 1 : 4
(3) 16 : 25 (4) 9 : 7
47. If each edge of a solid cube is increased by 100%, 
then the percentage increase in its surface area is:
(1) 100 (2) 200
(3) 300 (4) 400
48. If the sum of the parallel sides of a trapezium is 
40 cm and its height is 10 cm, then the area of the 
trapezium is:
(1) 400 cm
2
 (2) 200 cm
2
(3) 40 cm
2
 (4) 100 cm
2
49. Following table shows marks obtained by 40 
students. What is the mode of this data?
Marks obtained 42 36 30 45 50
No. of students 7 10 13 8 2
(1) 50 (2) 30
(3) 10 (4) 36
50. Cards numbered as 12, 13, 14, ..., 51, (one number on 
one card) are kept in a box and mixed thoroughly. 
One card is chosen at random from the box. What is 
the probability that the number on the chosen card 
is a composite number between 21 and 42?
(1)
 
1
2
 
(2)
 
7
20
(3)
 
3
8
 
(4)
 
17
40
51. Great Indian mathematician who gave approximate 
value of p correct to 4 decimal places as 3.1416 is:
(1) Aryabhatta (2) Mahavira
(3) Brahamagupta (4) Srinivasa Ramanujan
52. Which of the following method is most suitable in 
estab-lishing the formula for compound interest in 
class 8?
(1) Laboratory 
(2) Deductive method
(3) Problem solving method 
(4) Inductive method
53. According to V an Hiele’s levels of geometric thinking 
at which level students will be able to draw a right-
angled triangle and also name it as Right Scalene 
T riangle?
(1) Visualization (2) Analysis
(3) Relationship (4) Axiomatic
54. Which of the following is Not a preventive method 
for rectifying careless error?
(1) Teaching a concept in multiple ways
(2) Encourage leaners to learn different steps in 
problem solving
(3) Encourage learners to take the help of calculator 
and pay attention during problem solving
(4) Encourage learners to practice a number of 
similar questions
  
55. Which of the following statement is NOT true about 
errors in a mathematics class?
(1) Children’s errors are natural and inevitable part 
of their process of learning
(2) Children’s errors are reflections of how children 
think and learn.
(3) Children’s errors can play a constructive role 
in helping the teacher to develop mathematical 
thinking in them.
(4) Children learn only when there is no error in 
their responses for a given problem
56. In accordance with the nature of mathematics, 
which of the following can not be proven false?
(1) Theorem (2) Conjecture
(3) Hypothesis (4) Proposition
57. A teacher draws a rectangle on a graph paper and 
asks the students to draw some more rectangles but 
using the same number of squares in graph sheet 
as in the rectangle drawn by her. Which of the 
following describes the most appropriate objective 
of doing this activity?
(1) Differentiate between a rectangle and a square
(2) Rectangles with equal area can have different 
perimeter
(3) Rectangles with different area can have same 
perimeter
(4) Rectangles with same area always have same 
perimeter
58. Which of the following is NOT true about 
mathematics curriculum?
(1) To create positive attitude towards mathematics 
among children is a major objective of primary 
stage mathematics curriculum.
(2) Primary stage mathematics curriculum focuses 
an teaching abstract concepts through formal 
algorithm.
(3) To think, reason, analyse and articulate logically 
is an objective of mathematics curriculum at 
secondary level.
(4) Mathematics curriculum at the higher secondary 
stage should make the students realise a wide 
variety of mathematical applications.
59. Which of the following mathematical reasoning 
proceeds from concrete to abstract?
(1) Deductive reasoning 
(2) Inductive reasoning
(3) Reduction and Absurdum
(4) Analytical reasoning
60. Which of the following is the most appropriate 
method of teaching experimental probability in a 
mathematics class?
(1) Use more examples from the textbook
(2) Ask children to toss the coin 5 times and note the 
outcomes
(3) Ask children to toss the coin 50 times and note 
the outcomes
(4) Discuss the topic in the class
61. How does a periscope work in a submarine? Choose 
the correct options.
(A) Light from an object strikes the top mirror at 45° 
and bounces off at the same angle to the lower 
mirror so that a person can see the view outside.
(B) Light from the lower mirror enters the top mirror 
at 90° and bounces off at 90° to the top mirror to 
make the top view visible.
(C) It is based on laws of reflection.
(D) It is based on laws of refraction.
(1) (A) and (B) (2) (B) and (C)
(3) (C) and (D) (4) (A) and (C)
62. Ice floats on water because:
(A) Being a solid, density of ice is lower than water.
(B) Ice combines with air which helps it float due to 
buoyancy.
(C) Ice undergoes break in hydrogen bonding which 
makes it float.
(D) Molecular arrangement in ice is different than in 
water molecules.
(1) Only (A) (2) (A) and (C)
(3) (A) and (D) (4) Only (D)
63. Assertion: Copper and aluminium wires are usually 
used for transmission of electricity.
 Reason: Copper and aluminium are good conductors 
and have a high resistivity.
(1) Both assertion and reason are correct and reason 
is the correct explanation of the assertion
(2) Both assertion and reason are correct but reason 
is not the correct explanation of the assertion
(3) Assertion is true but reason is false
(4) Assertion in false but reason is true
64. What is the reason for boiling of water at lower 
temperature at high altitudes?
(1) There is increase in atmospheric pressure at 
higher altitude which leads to lowering of 
boiling point of water.
(2) There is decrease in atmospheric pressure at 
high altitudes which leads to lowering of boiling 
point of water.
(3) The energy required to heat water increases at 
higher altitude leading to lowering of the boiling 
point of water.
(4) The energy required for boiling water is higher at 
higher altitude due to low temperature leading 
to lowering of boiling point.
65. Read the table below and answer the following 
question.
Substance Melting Point (°C) Boiling Point (°C)
Sodium 98 882
Sulphur 115 444
 At what temperature would both the elements be in 
liquid state?
(1) Above 444 °C (2) Above 98 °C
(3) Above 882 °C (4) Above 115 °C
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Development is a ............... process that begins .......... 
(1) continuous life-long; at the time of conception
(2) continuous life-long; at birth
(3) process during childhood; at the time of 
conception
(4) process during childhood; at birth
2. Assertion (A) : A child has to have some neuromotor 
maturation before she learns to catch a ball.
 Reason (R) : Learning is dependent upon 
development.
 Choose the correct option. 
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
3. Socialization is a ........... process in which connections 
among various agencies of socialization are .............. .
(1) simple; important
(2) simple; not so important
(3) complex; important
(4) complex; not so important
4. Children in ........... stage can solve concrete problems 
in a logical fashion but have difficulty thinking 
hypothetically.
(1) Sensorimotor (2) Pre-operational
(3) Concrete operational (4) Formal operational
5. According to Jean Piaget, children learn meaningfully:
(1) through the process of conditioning of stimuli 
and response.
(2) when offered rewards and punishment.
(3) when adults take control and provide 
explanations.
(4) through self-initiated activity and discovery.
6. Which of the following statements in not correct 
about Piaget's proposal about sequence of stages ?
(1) All aspects of cognitive change in an integrated 
fashion, following a similar course.
(2) Stages can be skipped.
(3) Stages occur in a fixed order.
(4) Stages are universal; they are assumed to 
characterize children everywhere.
7. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) focus on how cultural factors and gender 
influences moral development
(2) good or bad is determined by the consequences 
of obeying or disobeying rules
(3) the individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions
(4) Self-chosen ethical principles that are universal
8. Lev Vygotsky suggested that children's cognitive 
development is .............. by interactions with people 
who are more capable.
(1) not impacted (2) negatively impacted
(3) facilitated (4) decreased
9. According to Lev Vygotsky, learning :
(1) is a measurable change in behaviour.
(2) cannot be separated from it's social context.
(3) depends on positive and negative reinforcement.
(4) includes attentional processes and stores of 
memory.
10. The abilities in Intrapersonal intelligence include : 
(1) capacity to think in images and pictures, to 
visualise accurately and abstractly.
(2) awareness of one's feelings and knowing one's 
capabilities.
(3) sensitivity to rhythm, pitch, meter, tone, melody.
(4) ability to distinguish between specific pitches, 
tones and rhythms that other may miss.
11. An architect designing a city and an artist working 
on an intricate drawing would require high :
(1) Spatial intelligence 
(2) Linguistic intelligence
(3) Musical intelligence 
(4) Intrapersonal intelligence
12. In a progressive classroom, the curriculum :
(1) is rigid and highly structured without giving any 
autonomy to the child.
(2) is organized into fragmented subjects with no 
correlation amongst them.
(3) is organized according to the capabilities and 
interests of the children.
(4) is presented in disconnected chunks of 
information.
13. A teacher tells the boys in a co-education class- "Do 
not take up home science in co-curricular activities, 
you are not a girl". This would encourage :
(1) gender equity (2) gender stereotyping
(3) gender role flexibility (4) gender equality
14. Assessment of conceptual clarity of a student can be 
effectively done by :
(1) Asking the student to recite the definition
(2) Asking the student to think of application of the 
concept to daily life
(3) Asking the student to copy from the board
(4) Asking the student to memorize another student's 
response
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
30th January, 2023
  
15. To encourage critical thinking a teacher should :
(1) Accept multiple perspectives
(2) Discourage discussions
(3) Be intolerant to dissent
(4) Emphasise convergent thinking
16. Inclusion as a philosophy and practice is situated in 
the context of diversity which includes :
(i) Linguistic diversity 
(ii) Gender diversity
(iii) Socio-cultural diversity 
(iv) 'Abiltiy' and 'disability'
(1) (i), (iii) (2) (i), (iv)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
17. Which of the following is NOT an effective 
pedagogical strategy to cater to students from 
disadvantaged backgrounds ?
(1) Link learning activities with the social and 
cultural environment of the students
(2) Dismiss expression in local language
(3) Make it compulsory for them to take tutions at 
home
(4) Focus on reproduction of school knowledge as it 
through repeated practice
18. Students struggling with .......... often face difficulties 
in mathematical concepts and computation.
(1) Dyscalculia (2) Dyslexia
(3) Dysgraphia (4) Autism
19. An assistive technology to aid vision is :
(1) Large print worksheets
(2) Voice activated computer
(3) Calculators 
(4) Magnifying glass
20. T ypical identifying characteristics of creative children 
include :
(1) Flexibility, fluency and originality of ideas
(2) High intellectual, social and emotional maturity
(3) Preference for simple tasks and low risk taking
(4) Convergent and rigid thinking
21. Multiple ways of .......... are of importance for 
successful implementation of Universal Design for 
Learning ?
(1) Representation (2) Action
(3) Engagement (4) Labelling
22. What skills do contemporary policies of education 
such as National Education Policy 2020 propose 
should be developed in children ?
(1) Critical thinking 
(2) Recall and reproduction
(3) Learning for exams 
(4) Rote memorisation
23. Meaningful learning of students in NOT promoted 
by encouraging children for :
(1) Exploration and experimentation 
(2) Metacognition
(3) Discussion and debate
(4) Passive listening
24. The broad perspective of schools and especially 
teachers to understand failure of students should be 
that it : 
(1) reflects poorly on the students' academic 
capabilities.
(2) reflects poorly on the teacher's abilities.
(3) is a systemic issue and there is need to reflect on 
the schools systems.
(4) is an issue of communities since children 
belonging to poor economic class cannot be 
educated in the same set-up as other children.
25. Children form naive theories or alternative 
conceptions because :
(1) their thinking is much inferior to adults.
(2) they are blank slates.
(3) they are thinking beings who are constructing 
knowledge by interacting with the world.
(4) their thinking is illogical and irrational.
26. When a student is stuck on one way of representing 
a problem it is called :
(1) working backward strategy
(2) functional fixedness
(3) response set 
(4) analogical thinking
27. Assertion (A) : While teaching problem-solving, 
teachers should discourage the children to think 
about their own thinking and focusing on how to 
learn.
 Reason (R) : Development of metacognitive abilities 
hinder problem-solving.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
28. Assertion (A) : Teachers should tell middle school 
students exactly in details what they have to do 
including what, how and when to learn.
 Reason (R) : Middle school children do not have the 
capacity to self-regulate their learning.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct 
explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false
29. Thinking of ability as ......... as failure as ......... 
motivates the students to work harder by putting in 
more efforts.
(1) Fixed; humiliating 
(2) Fixed; an opportunity to learn
(3) Incremental; humiliating
(4) Incremental; opportunity to learn
30. Which of the following factors influences learning ?
(i) Socio-cultural context of the student
(ii) Age of the student
(iii) Pedagogical strategies to teach a concept
(iv) Teacher's beliefs about the student's ability
(1) (i), (iii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
Mathematics and Science
31. The value of 18 ÷ 3 + 5 × 6 – 1 is:
(1) 31 (2) 65
(3) 40 (4) 35
  
32. If
 
3
5
3
5
3
5
53 53




















=
x
, then the value of x is:
(1) 1 (2) 0
(3) 2 (4) 
2
5
33. If 21168 = p
4
q
3
r
2
, where p, q and r are prime numbers, 
then the value of (4p + 3q – 2r) is:
(1) 6 (2) 7
(3) 2 (4) 3
34. The value of [(– 20) ÷ 4] × (– 2) + 6 × 3 – 1 is:
(1) 27 (2) 22
(3) 32 (4) 30
35. The fractions 
30
25
27
81
22
25
45
22
,, and 
 
are written in 
ascending order as:
(1)
 
27
81
30
25
45
22
22
25
,, ,
 
(2)
 
27
81
45
22
22
25
30
25
,,,
(3)
 
45
22
30
25
22
25
27
81
,, ,
 
(4)
 
27
81
22
25
30
25
45
22
,, ,
36. The marked price of an article is ` 420. A shopkeeper 
gives a discount of 15% on the marked price and still 
makes a profit of 19%. What is the cost price of the 
article?
(1) ` 270 (2) ` 290
(3) ` 300 (4) ` 320
37. If x + 
1
x
 
= 4, then the value of x
4
 + 
1
4
x
 is:
(1) 128 (2) 194
(3) 196 (4) 256
38. One of the factors of the expression x
2
y – xy
2
 + x – y is:
(1) x
2
 – y
2
 (2) x + y
(3) xy + 1 (4) xy
39. In the product (x – 2) (x – 3) (x – 5), the co-efficient 
of x
2
 is:
(1) – 30 (2) 10
(3) 1 (4) – 10
40. If x
2
 + y
2
 = 6 and x
3
y + xy
3
 + x
2
 + y
2
 = 36, then the 
value of xy is:
(1) 4 (2) 3
(3) 5 (4) 6
41. Which of the following is a Pythagorean triplet?
(1) 12, 15, 19 (2) 8, 13, 18
(3) 5, 12, 13 (4) 14, 20, 24
42. If one of the angles of a triangle is 120°, then the angle 
between the bisectors of the other two angles is:
(1) 160° (2) 120°
(3) 130° (4) 150°
43. A regular polygon of 6 sides has:
(1) 3 lines of symmetry (2) 6 lines of symmetry
(3) 12 lines of symmetry (4) 9 lines of symmetry
44. In triangles ABC and DEF, ?C = ?F, AC = DF and 
BC = EF. If AB = 4x – 2 and DE = 3x – 1, then the 
value of x is:
(1) 1 (2) 2
(3) 3 (4) 4
45. Which of the following triplets can form a 
polyhedron, if the numbers represent the number of 
faces, vertices and edges respectively?
(1) 4, 4 and 5 (2) 6, 8 and 12
(3) 6, 8 and 10 (4) 5, 6 and 8
46. The heights of two right circular cylinders are in the 
ratio of 8 : 5 and their radii of bases are in the ratio 
of 1 : 2. The ratio of their volumes is:
(1) 2 : 5 (2) 1 : 4
(3) 16 : 25 (4) 9 : 7
47. If each edge of a solid cube is increased by 100%, 
then the percentage increase in its surface area is:
(1) 100 (2) 200
(3) 300 (4) 400
48. If the sum of the parallel sides of a trapezium is 
40 cm and its height is 10 cm, then the area of the 
trapezium is:
(1) 400 cm
2
 (2) 200 cm
2
(3) 40 cm
2
 (4) 100 cm
2
49. Following table shows marks obtained by 40 
students. What is the mode of this data?
Marks obtained 42 36 30 45 50
No. of students 7 10 13 8 2
(1) 50 (2) 30
(3) 10 (4) 36
50. Cards numbered as 12, 13, 14, ..., 51, (one number on 
one card) are kept in a box and mixed thoroughly. 
One card is chosen at random from the box. What is 
the probability that the number on the chosen card 
is a composite number between 21 and 42?
(1)
 
1
2
 
(2)
 
7
20
(3)
 
3
8
 
(4)
 
17
40
51. Great Indian mathematician who gave approximate 
value of p correct to 4 decimal places as 3.1416 is:
(1) Aryabhatta (2) Mahavira
(3) Brahamagupta (4) Srinivasa Ramanujan
52. Which of the following method is most suitable in 
estab-lishing the formula for compound interest in 
class 8?
(1) Laboratory 
(2) Deductive method
(3) Problem solving method 
(4) Inductive method
53. According to V an Hiele’s levels of geometric thinking 
at which level students will be able to draw a right-
angled triangle and also name it as Right Scalene 
T riangle?
(1) Visualization (2) Analysis
(3) Relationship (4) Axiomatic
54. Which of the following is Not a preventive method 
for rectifying careless error?
(1) Teaching a concept in multiple ways
(2) Encourage leaners to learn different steps in 
problem solving
(3) Encourage learners to take the help of calculator 
and pay attention during problem solving
(4) Encourage learners to practice a number of 
similar questions
  
55. Which of the following statement is NOT true about 
errors in a mathematics class?
(1) Children’s errors are natural and inevitable part 
of their process of learning
(2) Children’s errors are reflections of how children 
think and learn.
(3) Children’s errors can play a constructive role 
in helping the teacher to develop mathematical 
thinking in them.
(4) Children learn only when there is no error in 
their responses for a given problem
56. In accordance with the nature of mathematics, 
which of the following can not be proven false?
(1) Theorem (2) Conjecture
(3) Hypothesis (4) Proposition
57. A teacher draws a rectangle on a graph paper and 
asks the students to draw some more rectangles but 
using the same number of squares in graph sheet 
as in the rectangle drawn by her. Which of the 
following describes the most appropriate objective 
of doing this activity?
(1) Differentiate between a rectangle and a square
(2) Rectangles with equal area can have different 
perimeter
(3) Rectangles with different area can have same 
perimeter
(4) Rectangles with same area always have same 
perimeter
58. Which of the following is NOT true about 
mathematics curriculum?
(1) To create positive attitude towards mathematics 
among children is a major objective of primary 
stage mathematics curriculum.
(2) Primary stage mathematics curriculum focuses 
an teaching abstract concepts through formal 
algorithm.
(3) To think, reason, analyse and articulate logically 
is an objective of mathematics curriculum at 
secondary level.
(4) Mathematics curriculum at the higher secondary 
stage should make the students realise a wide 
variety of mathematical applications.
59. Which of the following mathematical reasoning 
proceeds from concrete to abstract?
(1) Deductive reasoning 
(2) Inductive reasoning
(3) Reduction and Absurdum
(4) Analytical reasoning
60. Which of the following is the most appropriate 
method of teaching experimental probability in a 
mathematics class?
(1) Use more examples from the textbook
(2) Ask children to toss the coin 5 times and note the 
outcomes
(3) Ask children to toss the coin 50 times and note 
the outcomes
(4) Discuss the topic in the class
61. How does a periscope work in a submarine? Choose 
the correct options.
(A) Light from an object strikes the top mirror at 45° 
and bounces off at the same angle to the lower 
mirror so that a person can see the view outside.
(B) Light from the lower mirror enters the top mirror 
at 90° and bounces off at 90° to the top mirror to 
make the top view visible.
(C) It is based on laws of reflection.
(D) It is based on laws of refraction.
(1) (A) and (B) (2) (B) and (C)
(3) (C) and (D) (4) (A) and (C)
62. Ice floats on water because:
(A) Being a solid, density of ice is lower than water.
(B) Ice combines with air which helps it float due to 
buoyancy.
(C) Ice undergoes break in hydrogen bonding which 
makes it float.
(D) Molecular arrangement in ice is different than in 
water molecules.
(1) Only (A) (2) (A) and (C)
(3) (A) and (D) (4) Only (D)
63. Assertion: Copper and aluminium wires are usually 
used for transmission of electricity.
 Reason: Copper and aluminium are good conductors 
and have a high resistivity.
(1) Both assertion and reason are correct and reason 
is the correct explanation of the assertion
(2) Both assertion and reason are correct but reason 
is not the correct explanation of the assertion
(3) Assertion is true but reason is false
(4) Assertion in false but reason is true
64. What is the reason for boiling of water at lower 
temperature at high altitudes?
(1) There is increase in atmospheric pressure at 
higher altitude which leads to lowering of 
boiling point of water.
(2) There is decrease in atmospheric pressure at 
high altitudes which leads to lowering of boiling 
point of water.
(3) The energy required to heat water increases at 
higher altitude leading to lowering of the boiling 
point of water.
(4) The energy required for boiling water is higher at 
higher altitude due to low temperature leading 
to lowering of boiling point.
65. Read the table below and answer the following 
question.
Substance Melting Point (°C) Boiling Point (°C)
Sodium 98 882
Sulphur 115 444
 At what temperature would both the elements be in 
liquid state?
(1) Above 444 °C (2) Above 98 °C
(3) Above 882 °C (4) Above 115 °C
  
66. Which of the following statements are correct?
(A) Electrostatic force is a non-contact force.
(B) Ability to lift things with a magnet is an example 
of contact force.
(C) Airplane flying through the air is an example of 
non-contact force.
(D) Gravitational force is a non-contact force.
(1) (A) and (D) (2) (B) and (C)
(3) (C) and (D) (4) (A) and (B)
67. Which one of the following statements is NOT 
correct about sound?
(1) Vibration produces sound in humans.
(2) Sound can travel through vacuum.
(3) If amplitude becomes twice, loudness will be 
four times.
(4) Higher the frequency of vibration, shriller the 
sound.
68. The pH of four solutions A, B, C and D is 9, 2, 7, 
4 respectively. Arrange them in the correct order of 
acidic strength.
(1) A > C > D > B
(2) B > D > C > A
(3) C > D > B > A
(4) D > B > C > A
69. Specify the order of methods that you will use to 
separate salt mixed in oil and water?
(1) Evaporation of oil followed by evaporation of 
water from salt.
(2) Use separating funnel to remove water and oil, 
followed by evaporating water from salt.
(3) Using decantation of water followed by 
evaporation of oil from salt.
(4) Using filtration method to remove salt and 
letting it dry.
70. Consider the following set of reactions:
(A) Mg + CuO ? MgO + Cu
(B) 2Na + MgO ? Na
2
O + Mg
(C) Zn + CuO ? ZnO + Cu
What can you infer from the above set of reactions?
(1) Reactivity of Cu is more then Mg but less than Na
(2) Reactivity of Cu is greater than Zn
(3) Reactivity of Mg is more then Cu but less than Na
(4) Reactivity of Mg is more than Na
71. Gold is preferred for making jewellery because it is:
(a) Malleable
(b) Resistant to corrosion
(c) Highly reactive
(d) Sonorous
(1) (a) only (2) Only (b)
(3) (a) and (b) (4) (a), (b) and (c)
72. From the following, identify the set with only 
physical changes:
(1) Rusting of iron, melting of ice cream, freezing of 
wax
(2) Freezing of ice cream, melting of chocolate, 
dissolving of candy
(3) Cooking of food, boiling of oil, pounding a herb
(4) Rusting of iron, burning of paper, digestion of 
food
73. S1:  Esters are the chemicals which give fruity smell.
 S2:  Polyester is actually a polymer with repeating 
units of esters.
(1) Both S1 and S2 are correct
(2) Both S1 and S2 are incorrect
(3) S1 is correct and S2 is incorrect
(4) S2 is correct and S1 is incorrect
74. Match the following with their uses.
(A) Paraffin wax (i) Paints
(B) Bitumen (ii) Ointments
(C) Sulphur phosphate (iii) Weedicides
(D) 2, 4-D (iv) Fertilizer
 Codes:
 A B C D
(1) ii i iv iii
(2) i  ii iv iii
(3) iii iv i ii
(4) iv ii iii i
75. Vaccines provide immunity to our body by:
(1) Increasing the number of antigen in our body
(2) Providing antibiotics to our body
(3) Programming our body to produce anti-
inflammatory cells
(4) Programming our body to produce suitable 
antibodies
76. Which of the following statements is incorrect with 
respect to cells?
(1) Prokaryotic cells have nuclear material but no 
cell membrane.
(2) Plastids are present in plant and animal cells.
(3) Cell membrane is present in both animal plant 
cells.
(4) Cell wall is present in plant cell only.
77. Which one of the following statements is true about 
the human circulatory system?
(1) Veins have thick walls and no valves present .
(2) Deoxygenated blood is blue in colour.
(3) Dark clot formed over a cut is due to white blood 
cells.
(4) Veins carry deoxygenated blood.
78. Study the table and identify A, B, C and D.
Human and 
plant diseases
Causative micro-
organism
Mode of  
transmission
Citrus canker Bacteria A
Hepatitis-B Virus B
Malaria Protozoa C
Y ellow vein 
Mosaic of okra
Virus D
(1) A-Air, B-Water, C-Mosquito, D-Insect
(2) A-Water, B-Air, C-Mosquito, D-Insect
(3) A-Water, B-Water, C-Mosquito, D-Air
(4) A-Air, B-Water, C-Mosquito, D-Water