CTET Solved Question Paper - 2 (01 Jan - 2022) | 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. What is meant by ‘sensitive period’ in child 
development?
(1) Period concerning a rapid advances only in 
cognition and learning.
(2) Optimal period for development of specific 
capabilities.
(3) Period in which development of only language 
can be accelerated.
(4) Period at which physical growth is at its peak.
2. Cephalo–Candal principal of development states 
that—
(1) development proceeds from head to toe.
(2) development proceeds from centre to extremities.
(3) development proceeds from toe to head.
(4) development proceeds from extremities to the 
centre.
3. Thought becomes abstract and idealistic during the 
period of –
(1) Infancy (2) Early childhood
(3) Middle childhood (4) Adolescence
4. Rearranging schemas, linking them with other 
schemas to create a strongly interconnected 
cognitive system in Piaget’s theory is referred to as
(1) Assimilation. (2) Accommodation.
(3) Organization. (4) Maturation.
5. Children in ............... stage can solve problems 
mentally but the problems themselves have to be 
related to materials and not symbols.
(1) formal operational
(2) concrete operational
(3) sensori – motor
(4) pre-operational
6. Socio-constructivist theorist consider the child as:
(1) a blank slate
(2) passive recipients of knowledge
(3) active beings involved in creation of knowledge.
(4) miniature adults.
7. Encouraging dialogue among students and 
providing scaffolding are examples of:
(1) creating a zone of proximal development.
(2) conditioning of responses.
(3) positive reinforcement.
(4) transfer of learning.
8. Who proposed that new knowledge is constructed 
is a zone between what the child knows and what 
she is capable of knowing with support?
(1) Lev Vygotsky (2) Jean Piaget
(3) Howard Gardner (4) Ivan Pavlov
9. Which of these situations is illustrative of a child-
centred classroom?
(1) A class in which the students are sitting in 
groups and the teacher takes turns to go to each 
group.
(2) A class in which the behaviour of students is 
governed by the rewards and punishment the 
teacher would give them.
(3) A class in which the teacher dictates and the 
students are asked to memorise the notes.
(4) A class in which the students do whatever they 
want while the teacher watches them silently.
10. The idea of ideal reciprocity as exhibited in the 
Golden Rule is the key characteristics of which stage 
of moral development according to Kohlberg?
(1) Social order orientation
(2) Social contract orientation
(3) Universal ethical principles
(4) Good boy–good girl orientation
11. Intelligence is ............... according to Howard 
Gardner.
(1) a positive change in behaviour
(2) a negative change in behaviour
(3) the ability to produce original products
(4) a set of several distinct abilities
12. Assertion (A) : Teachers should follow standardized 
curriculum, pedagogy and methods of assessment.
 Reason (R) : Educational systems should ignore and 
dismiss individual differences among the children.
(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.
13. Encouraging girls to take up languages and arts 
and discouraging them to take up mathematics and 
science is an example of:
(1) gender equity (2) gender constancy
(3) gender discrimination (4) gender empowerment
14. Which of the following statements correctly 
describes the relationship between language and 
thought as per the socio-constructivist perspective?
(1) Language determines thought.
(2) Thought is governed and directed by language.
(3) Relationship between language and thought is 
bi-directional.
(4) Language and thought are independent 
cognitive capabilities.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
01 st January, 2022
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. What is meant by ‘sensitive period’ in child 
development?
(1) Period concerning a rapid advances only in 
cognition and learning.
(2) Optimal period for development of specific 
capabilities.
(3) Period in which development of only language 
can be accelerated.
(4) Period at which physical growth is at its peak.
2. Cephalo–Candal principal of development states 
that—
(1) development proceeds from head to toe.
(2) development proceeds from centre to extremities.
(3) development proceeds from toe to head.
(4) development proceeds from extremities to the 
centre.
3. Thought becomes abstract and idealistic during the 
period of –
(1) Infancy (2) Early childhood
(3) Middle childhood (4) Adolescence
4. Rearranging schemas, linking them with other 
schemas to create a strongly interconnected 
cognitive system in Piaget’s theory is referred to as
(1) Assimilation. (2) Accommodation.
(3) Organization. (4) Maturation.
5. Children in ............... stage can solve problems 
mentally but the problems themselves have to be 
related to materials and not symbols.
(1) formal operational
(2) concrete operational
(3) sensori – motor
(4) pre-operational
6. Socio-constructivist theorist consider the child as:
(1) a blank slate
(2) passive recipients of knowledge
(3) active beings involved in creation of knowledge.
(4) miniature adults.
7. Encouraging dialogue among students and 
providing scaffolding are examples of:
(1) creating a zone of proximal development.
(2) conditioning of responses.
(3) positive reinforcement.
(4) transfer of learning.
8. Who proposed that new knowledge is constructed 
is a zone between what the child knows and what 
she is capable of knowing with support?
(1) Lev Vygotsky (2) Jean Piaget
(3) Howard Gardner (4) Ivan Pavlov
9. Which of these situations is illustrative of a child-
centred classroom?
(1) A class in which the students are sitting in 
groups and the teacher takes turns to go to each 
group.
(2) A class in which the behaviour of students is 
governed by the rewards and punishment the 
teacher would give them.
(3) A class in which the teacher dictates and the 
students are asked to memorise the notes.
(4) A class in which the students do whatever they 
want while the teacher watches them silently.
10. The idea of ideal reciprocity as exhibited in the 
Golden Rule is the key characteristics of which stage 
of moral development according to Kohlberg?
(1) Social order orientation
(2) Social contract orientation
(3) Universal ethical principles
(4) Good boy–good girl orientation
11. Intelligence is ............... according to Howard 
Gardner.
(1) a positive change in behaviour
(2) a negative change in behaviour
(3) the ability to produce original products
(4) a set of several distinct abilities
12. Assertion (A) : Teachers should follow standardized 
curriculum, pedagogy and methods of assessment.
 Reason (R) : Educational systems should ignore and 
dismiss individual differences among the children.
(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.
13. Encouraging girls to take up languages and arts 
and discouraging them to take up mathematics and 
science is an example of:
(1) gender equity (2) gender constancy
(3) gender discrimination (4) gender empowerment
14. Which of the following statements correctly 
describes the relationship between language and 
thought as per the socio-constructivist perspective?
(1) Language determines thought.
(2) Thought is governed and directed by language.
(3) Relationship between language and thought is 
bi-directional.
(4) Language and thought are independent 
cognitive capabilities.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
01 st January, 2022
  
15. To ensure focus on ‘assessment for learning’ rather 
then ‘assessment of learning’ it is important to 
include:
(i) Self – assessment
(ii) Peer– assessment
(iii) Quantitative feedback
(iv) Comparisons between students on quantitative 
parameters
(1) (iii), (iv) (2) (i), (ii), (iii)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
16. Which of the following practice promotes inclusion 
in education?
(1) Corporal punishment to students
(2) Learning for competitive exams
(3) Respect for diversity
(4) Standardized curriculum
17. Which of the following disability causes challenges 
in paying attention and sustaining long duration 
involvement in tasks?
(1) Attention Deficit Hyperactivity Disorder
(2) Dysgraphia
(3) Dyslexia
(4) Visual Impairment
18. In a class having learners from various linguistics 
identities, a teacher should practice:
(1) Multilingualism (2) Segregation
(3) Labelling (4) Stereotyping
19. Use of multimedia for communication will help 
inclusion of: 
(i) students with intellectual difficulties
(ii) students with giftedness
(iii) students with Autism
(iv) students with Dyslexia
(1) (i) (2) (ii), (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
20. Which of the following is a correctly matched pair of 
appropriate accommodation strategy for inclusion of 
students with specific disability?
(1) Dyscalculia: Prohibition of use of calculator
(2) Dyslexia: Giving long essays to be written
(3) Visual impairment: Providing read-to-text 
software
(4) Autism: Increasing visual overload
21. Which of the following does not facilitate students’ 
thinking?
(1) Active involvement (2) Meaningful activities
(3) Passive listening (4) Social participation
22. .................... opportunity of hands-on activities is 
likely to .................... learning among students.
(1) Avoiding, improve (2) Facilitating, improve
(3) Presenting, stagnate (4) Preventing, enhance
23. Which of the following is correct in context of 
learning?
(1) Students learn best when they participate in 
activities that are related to their context
(2) Students learn best when they participate in 
activities that are not related to their context
(3) Students learn best when they participate in 
meaningless activities
(4) Students learn best when they participate in 
mechanical activities
24. While introducing a new topic, a teacher should ask 
questions which:
(1) are from the domains completely unfamiliar 
from students.
(2) are much beyond their cognitive abilities.
(3) has not relation with the topic to be taught.
(4) relates the topic to be studied with what students 
already know.
25. Socio-cultural context of students:
(1) has minimal role in the learning process
(2) has no role in the learning process
(3) plays a significant role in the learning process
(4) should be ignored in the learning process
26. A teacher intends to facilitate reflective skills among 
her students. This can be done by:
(1) Asking students to copy the content written on 
board.
(2) Encouraging students to ask themselves 
questions about their understanding.
(3) Giving a passage to students for rote – 
memorization.
(4) Shaping the students’ behaviour using stimulus 
–response associations.
27. A teacher should:
(1) discourage students to identify their errors 
themselves
(2) ignore misconceptions carried by students
(3) strengthen students’ misconceptions.
(4) scaffold students to correct their errors 
themselves.
28. A student is felling very nervous and having high 
anxiety before the exam. His emotional state is likely 
to
(1) cause internal motivation for performance.
(2) have no impact on his performance in exam.
(3) improve his performance in exam.
(4) negativity impact his performance in exam.
29. Which of following is a correctly matched pair of a 
source of motivation and the type of motivation?
(1) Curiosity – Intrinsic motivation
(2) Appreciation from peers – Intrinsic motivation
(3) Praise of teacher – Intrinsic motivation
(4) Trophy in match – Intrinsic motivation
30. Which of the following will not facilitate 
understanding of a concept?
(1) Asking students to copy the answers from the 
notes given by teacher.
(2) Asking students to explain that concept in their 
own words.
(3) Asking students to frame principles from specific 
examples.
(4) Asking students to generate analogies between 
different conditions.
Mathematics and Science
31. The sum of the LCM and HCF of 198, 135 and 108 is:
(1) 2979 (2) 3966
(3) 5949 (4) 4464
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. What is meant by ‘sensitive period’ in child 
development?
(1) Period concerning a rapid advances only in 
cognition and learning.
(2) Optimal period for development of specific 
capabilities.
(3) Period in which development of only language 
can be accelerated.
(4) Period at which physical growth is at its peak.
2. Cephalo–Candal principal of development states 
that—
(1) development proceeds from head to toe.
(2) development proceeds from centre to extremities.
(3) development proceeds from toe to head.
(4) development proceeds from extremities to the 
centre.
3. Thought becomes abstract and idealistic during the 
period of –
(1) Infancy (2) Early childhood
(3) Middle childhood (4) Adolescence
4. Rearranging schemas, linking them with other 
schemas to create a strongly interconnected 
cognitive system in Piaget’s theory is referred to as
(1) Assimilation. (2) Accommodation.
(3) Organization. (4) Maturation.
5. Children in ............... stage can solve problems 
mentally but the problems themselves have to be 
related to materials and not symbols.
(1) formal operational
(2) concrete operational
(3) sensori – motor
(4) pre-operational
6. Socio-constructivist theorist consider the child as:
(1) a blank slate
(2) passive recipients of knowledge
(3) active beings involved in creation of knowledge.
(4) miniature adults.
7. Encouraging dialogue among students and 
providing scaffolding are examples of:
(1) creating a zone of proximal development.
(2) conditioning of responses.
(3) positive reinforcement.
(4) transfer of learning.
8. Who proposed that new knowledge is constructed 
is a zone between what the child knows and what 
she is capable of knowing with support?
(1) Lev Vygotsky (2) Jean Piaget
(3) Howard Gardner (4) Ivan Pavlov
9. Which of these situations is illustrative of a child-
centred classroom?
(1) A class in which the students are sitting in 
groups and the teacher takes turns to go to each 
group.
(2) A class in which the behaviour of students is 
governed by the rewards and punishment the 
teacher would give them.
(3) A class in which the teacher dictates and the 
students are asked to memorise the notes.
(4) A class in which the students do whatever they 
want while the teacher watches them silently.
10. The idea of ideal reciprocity as exhibited in the 
Golden Rule is the key characteristics of which stage 
of moral development according to Kohlberg?
(1) Social order orientation
(2) Social contract orientation
(3) Universal ethical principles
(4) Good boy–good girl orientation
11. Intelligence is ............... according to Howard 
Gardner.
(1) a positive change in behaviour
(2) a negative change in behaviour
(3) the ability to produce original products
(4) a set of several distinct abilities
12. Assertion (A) : Teachers should follow standardized 
curriculum, pedagogy and methods of assessment.
 Reason (R) : Educational systems should ignore and 
dismiss individual differences among the children.
(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.
13. Encouraging girls to take up languages and arts 
and discouraging them to take up mathematics and 
science is an example of:
(1) gender equity (2) gender constancy
(3) gender discrimination (4) gender empowerment
14. Which of the following statements correctly 
describes the relationship between language and 
thought as per the socio-constructivist perspective?
(1) Language determines thought.
(2) Thought is governed and directed by language.
(3) Relationship between language and thought is 
bi-directional.
(4) Language and thought are independent 
cognitive capabilities.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
01 st January, 2022
  
15. To ensure focus on ‘assessment for learning’ rather 
then ‘assessment of learning’ it is important to 
include:
(i) Self – assessment
(ii) Peer– assessment
(iii) Quantitative feedback
(iv) Comparisons between students on quantitative 
parameters
(1) (iii), (iv) (2) (i), (ii), (iii)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
16. Which of the following practice promotes inclusion 
in education?
(1) Corporal punishment to students
(2) Learning for competitive exams
(3) Respect for diversity
(4) Standardized curriculum
17. Which of the following disability causes challenges 
in paying attention and sustaining long duration 
involvement in tasks?
(1) Attention Deficit Hyperactivity Disorder
(2) Dysgraphia
(3) Dyslexia
(4) Visual Impairment
18. In a class having learners from various linguistics 
identities, a teacher should practice:
(1) Multilingualism (2) Segregation
(3) Labelling (4) Stereotyping
19. Use of multimedia for communication will help 
inclusion of: 
(i) students with intellectual difficulties
(ii) students with giftedness
(iii) students with Autism
(iv) students with Dyslexia
(1) (i) (2) (ii), (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
20. Which of the following is a correctly matched pair of 
appropriate accommodation strategy for inclusion of 
students with specific disability?
(1) Dyscalculia: Prohibition of use of calculator
(2) Dyslexia: Giving long essays to be written
(3) Visual impairment: Providing read-to-text 
software
(4) Autism: Increasing visual overload
21. Which of the following does not facilitate students’ 
thinking?
(1) Active involvement (2) Meaningful activities
(3) Passive listening (4) Social participation
22. .................... opportunity of hands-on activities is 
likely to .................... learning among students.
(1) Avoiding, improve (2) Facilitating, improve
(3) Presenting, stagnate (4) Preventing, enhance
23. Which of the following is correct in context of 
learning?
(1) Students learn best when they participate in 
activities that are related to their context
(2) Students learn best when they participate in 
activities that are not related to their context
(3) Students learn best when they participate in 
meaningless activities
(4) Students learn best when they participate in 
mechanical activities
24. While introducing a new topic, a teacher should ask 
questions which:
(1) are from the domains completely unfamiliar 
from students.
(2) are much beyond their cognitive abilities.
(3) has not relation with the topic to be taught.
(4) relates the topic to be studied with what students 
already know.
25. Socio-cultural context of students:
(1) has minimal role in the learning process
(2) has no role in the learning process
(3) plays a significant role in the learning process
(4) should be ignored in the learning process
26. A teacher intends to facilitate reflective skills among 
her students. This can be done by:
(1) Asking students to copy the content written on 
board.
(2) Encouraging students to ask themselves 
questions about their understanding.
(3) Giving a passage to students for rote – 
memorization.
(4) Shaping the students’ behaviour using stimulus 
–response associations.
27. A teacher should:
(1) discourage students to identify their errors 
themselves
(2) ignore misconceptions carried by students
(3) strengthen students’ misconceptions.
(4) scaffold students to correct their errors 
themselves.
28. A student is felling very nervous and having high 
anxiety before the exam. His emotional state is likely 
to
(1) cause internal motivation for performance.
(2) have no impact on his performance in exam.
(3) improve his performance in exam.
(4) negativity impact his performance in exam.
29. Which of following is a correctly matched pair of a 
source of motivation and the type of motivation?
(1) Curiosity – Intrinsic motivation
(2) Appreciation from peers – Intrinsic motivation
(3) Praise of teacher – Intrinsic motivation
(4) Trophy in match – Intrinsic motivation
30. Which of the following will not facilitate 
understanding of a concept?
(1) Asking students to copy the answers from the 
notes given by teacher.
(2) Asking students to explain that concept in their 
own words.
(3) Asking students to frame principles from specific 
examples.
(4) Asking students to generate analogies between 
different conditions.
Mathematics and Science
31. The sum of the LCM and HCF of 198, 135 and 108 is:
(1) 2979 (2) 3966
(3) 5949 (4) 4464
  
32. The value of 
450
338
125
245
÷
 
is:
(1)
 
14
13
 
(2)
 
13
25
(3)
 
21
13
 
(4)
 
91
75
33. If a = 
5
11
 
and b = 
3
7
, then (a + b)
–1
 × (a
–1
 + b
–1
) is 
equal to
(1)
 
15
77
 
(2)
 
68
15
(3)
 
15
68
 
(4)
 
77
15
34. Which of the following is/are Not true about natural 
numbers?
(a) Every prime number is an odd number.
(b) All even numbers are composite numbers.
(c) The sum of two prime numbers is always an 
even number.
(d) If an even number is divided by 2, the quotient 
is always odd.
(1) Only (c) (2) Only (d)
(3) All (a), (b), (c) and (d) (4) Only (a) and (d)
35. Identify the correct statement:
(1) For any two integers, a and b, a × (–b) is always 
negative.
(2) Difference of two negative integers cannot be 
positive.
(3) Product of a negative integer with another 
negative integer will give an integer smaller than 
both the integers.
(4) Product of a negative with a positive integer will 
be an integer less than 0.
36. The area of a rhombus shaped field is 5880 m
2 
and 
of its diagonal is 70 m. What is the side (in m) of the 
field?
(1) 84 (2) 91
(3) 63 (4) 98
37. The area of a square with side x units is double 
the area of a triangle with base x units. Then, the 
altitude of the triangle is:
(1)
 
x
2
 
units (2) x units
(3) 2x units (4) 4x units
38. The total surface area of a solid right circular cylinder 
is 3.52 m
2
 and the radius of its base is 0.35 m. The 
height of the cylinder is:
 
Take 






22
7
(1)
 
5
4
m
 
(2)
 
5
2
m
(3)
 
7
4
m
 
(4)
 
7
2
m
39. Numbers 12, 13, 14, ....., 40, 41 are written on 
different slips, one number on one slip. These slips 
are put into a bag. Radha takes out one slip from 
the bag without looking into the bag. What is the 
probability that the slip drawn by her is Not a prime 
number?
(1)
 
4
5
 
(2)
 
7
10
(3)
 
11
15
 
(4)
 
23
30
40. The mean of some observations is 54. If each 
observation increased by 8 and its sum is divided 
by 2, then what is the mean of the resulting 
observations?
(1) 27 (2) 31
(3) 35 (4) 62
41. What is the product of 9x
2
 + 4y
2
, 3x + 2y and 
3x – 2y?
(1) 18x
4
 + 16y
4  (2) 27x
2
 – 64y
4
(3) 81x
4
 + 16y
4
 (4) 81x
4
 – 16y
4
42. 
ab aa b
aa bb ab
22
 
 
()
() ()
, a ? b, is equal to
(1)
 
ab
ab
-
-
2
 
(2)
 
2ab
ab


(3)
 
2ab
ab
-
-
 
(4)
 
ab
ab


2
43. If y
yy



 1
2
1
2
3
;
 
then what is the value of 
57
2
y +
?
(1)
 
3
1
2
 
(2)
 
8
1
2
(3) 6 (4) 7
44. Subtracting x
2 
– x – 19 from the sum of 3x
2
 – 8x + 11 
and –6x
2
 + 12x + 17, we get
(1) 4x
2
  + 5x + 9 (2) 4x
2
  – 5x + 47
(3) –4x
2
 + 5x – 9 (4) –4x
2
 + 5x + 47
45. The selling price of a toy is `1020. If the profit made 
by the shopkeeper is 20%, then the cost price of the 
toy is
(1) `720 (2) `750
(3) `800 (4) `850
46. Which of the following triangle(s) has/have no line 
of symmetry?
(1) Equilateral triangle only
(2) Isosceles triangle only
(3) Scalene triangle only
(4) Both scalene triangle and isosceles triangle
47. ABCD is a rhombus in which ?BAC = 50°, then 
3 ?D – 2 ?DAC is equal to
(1) 120° (2) 140°
(3) 150° (4) 160°
48. ABC and DBC are two triangles formed on the same 
base BC and on the same side of it. If AC = DB and 
AB = DC, then which of the following is correct?
(1) DABC ? DCBD (2) DABC ? DDCB
(3) DABC ? DDBC (4) DABC ? DBCD
49. Side BC of a triangle ABC is produced to a point D. 
If ?A = 40° and AC = BC, then 2 ?ACD + 3 ?B is 
equal to
(1) 280° (2) 260°
(3) 240° (4) 220°
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. What is meant by ‘sensitive period’ in child 
development?
(1) Period concerning a rapid advances only in 
cognition and learning.
(2) Optimal period for development of specific 
capabilities.
(3) Period in which development of only language 
can be accelerated.
(4) Period at which physical growth is at its peak.
2. Cephalo–Candal principal of development states 
that—
(1) development proceeds from head to toe.
(2) development proceeds from centre to extremities.
(3) development proceeds from toe to head.
(4) development proceeds from extremities to the 
centre.
3. Thought becomes abstract and idealistic during the 
period of –
(1) Infancy (2) Early childhood
(3) Middle childhood (4) Adolescence
4. Rearranging schemas, linking them with other 
schemas to create a strongly interconnected 
cognitive system in Piaget’s theory is referred to as
(1) Assimilation. (2) Accommodation.
(3) Organization. (4) Maturation.
5. Children in ............... stage can solve problems 
mentally but the problems themselves have to be 
related to materials and not symbols.
(1) formal operational
(2) concrete operational
(3) sensori – motor
(4) pre-operational
6. Socio-constructivist theorist consider the child as:
(1) a blank slate
(2) passive recipients of knowledge
(3) active beings involved in creation of knowledge.
(4) miniature adults.
7. Encouraging dialogue among students and 
providing scaffolding are examples of:
(1) creating a zone of proximal development.
(2) conditioning of responses.
(3) positive reinforcement.
(4) transfer of learning.
8. Who proposed that new knowledge is constructed 
is a zone between what the child knows and what 
she is capable of knowing with support?
(1) Lev Vygotsky (2) Jean Piaget
(3) Howard Gardner (4) Ivan Pavlov
9. Which of these situations is illustrative of a child-
centred classroom?
(1) A class in which the students are sitting in 
groups and the teacher takes turns to go to each 
group.
(2) A class in which the behaviour of students is 
governed by the rewards and punishment the 
teacher would give them.
(3) A class in which the teacher dictates and the 
students are asked to memorise the notes.
(4) A class in which the students do whatever they 
want while the teacher watches them silently.
10. The idea of ideal reciprocity as exhibited in the 
Golden Rule is the key characteristics of which stage 
of moral development according to Kohlberg?
(1) Social order orientation
(2) Social contract orientation
(3) Universal ethical principles
(4) Good boy–good girl orientation
11. Intelligence is ............... according to Howard 
Gardner.
(1) a positive change in behaviour
(2) a negative change in behaviour
(3) the ability to produce original products
(4) a set of several distinct abilities
12. Assertion (A) : Teachers should follow standardized 
curriculum, pedagogy and methods of assessment.
 Reason (R) : Educational systems should ignore and 
dismiss individual differences among the children.
(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.
13. Encouraging girls to take up languages and arts 
and discouraging them to take up mathematics and 
science is an example of:
(1) gender equity (2) gender constancy
(3) gender discrimination (4) gender empowerment
14. Which of the following statements correctly 
describes the relationship between language and 
thought as per the socio-constructivist perspective?
(1) Language determines thought.
(2) Thought is governed and directed by language.
(3) Relationship between language and thought is 
bi-directional.
(4) Language and thought are independent 
cognitive capabilities.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
01 st January, 2022
  
15. To ensure focus on ‘assessment for learning’ rather 
then ‘assessment of learning’ it is important to 
include:
(i) Self – assessment
(ii) Peer– assessment
(iii) Quantitative feedback
(iv) Comparisons between students on quantitative 
parameters
(1) (iii), (iv) (2) (i), (ii), (iii)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
16. Which of the following practice promotes inclusion 
in education?
(1) Corporal punishment to students
(2) Learning for competitive exams
(3) Respect for diversity
(4) Standardized curriculum
17. Which of the following disability causes challenges 
in paying attention and sustaining long duration 
involvement in tasks?
(1) Attention Deficit Hyperactivity Disorder
(2) Dysgraphia
(3) Dyslexia
(4) Visual Impairment
18. In a class having learners from various linguistics 
identities, a teacher should practice:
(1) Multilingualism (2) Segregation
(3) Labelling (4) Stereotyping
19. Use of multimedia for communication will help 
inclusion of: 
(i) students with intellectual difficulties
(ii) students with giftedness
(iii) students with Autism
(iv) students with Dyslexia
(1) (i) (2) (ii), (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
20. Which of the following is a correctly matched pair of 
appropriate accommodation strategy for inclusion of 
students with specific disability?
(1) Dyscalculia: Prohibition of use of calculator
(2) Dyslexia: Giving long essays to be written
(3) Visual impairment: Providing read-to-text 
software
(4) Autism: Increasing visual overload
21. Which of the following does not facilitate students’ 
thinking?
(1) Active involvement (2) Meaningful activities
(3) Passive listening (4) Social participation
22. .................... opportunity of hands-on activities is 
likely to .................... learning among students.
(1) Avoiding, improve (2) Facilitating, improve
(3) Presenting, stagnate (4) Preventing, enhance
23. Which of the following is correct in context of 
learning?
(1) Students learn best when they participate in 
activities that are related to their context
(2) Students learn best when they participate in 
activities that are not related to their context
(3) Students learn best when they participate in 
meaningless activities
(4) Students learn best when they participate in 
mechanical activities
24. While introducing a new topic, a teacher should ask 
questions which:
(1) are from the domains completely unfamiliar 
from students.
(2) are much beyond their cognitive abilities.
(3) has not relation with the topic to be taught.
(4) relates the topic to be studied with what students 
already know.
25. Socio-cultural context of students:
(1) has minimal role in the learning process
(2) has no role in the learning process
(3) plays a significant role in the learning process
(4) should be ignored in the learning process
26. A teacher intends to facilitate reflective skills among 
her students. This can be done by:
(1) Asking students to copy the content written on 
board.
(2) Encouraging students to ask themselves 
questions about their understanding.
(3) Giving a passage to students for rote – 
memorization.
(4) Shaping the students’ behaviour using stimulus 
–response associations.
27. A teacher should:
(1) discourage students to identify their errors 
themselves
(2) ignore misconceptions carried by students
(3) strengthen students’ misconceptions.
(4) scaffold students to correct their errors 
themselves.
28. A student is felling very nervous and having high 
anxiety before the exam. His emotional state is likely 
to
(1) cause internal motivation for performance.
(2) have no impact on his performance in exam.
(3) improve his performance in exam.
(4) negativity impact his performance in exam.
29. Which of following is a correctly matched pair of a 
source of motivation and the type of motivation?
(1) Curiosity – Intrinsic motivation
(2) Appreciation from peers – Intrinsic motivation
(3) Praise of teacher – Intrinsic motivation
(4) Trophy in match – Intrinsic motivation
30. Which of the following will not facilitate 
understanding of a concept?
(1) Asking students to copy the answers from the 
notes given by teacher.
(2) Asking students to explain that concept in their 
own words.
(3) Asking students to frame principles from specific 
examples.
(4) Asking students to generate analogies between 
different conditions.
Mathematics and Science
31. The sum of the LCM and HCF of 198, 135 and 108 is:
(1) 2979 (2) 3966
(3) 5949 (4) 4464
  
32. The value of 
450
338
125
245
÷
 
is:
(1)
 
14
13
 
(2)
 
13
25
(3)
 
21
13
 
(4)
 
91
75
33. If a = 
5
11
 
and b = 
3
7
, then (a + b)
–1
 × (a
–1
 + b
–1
) is 
equal to
(1)
 
15
77
 
(2)
 
68
15
(3)
 
15
68
 
(4)
 
77
15
34. Which of the following is/are Not true about natural 
numbers?
(a) Every prime number is an odd number.
(b) All even numbers are composite numbers.
(c) The sum of two prime numbers is always an 
even number.
(d) If an even number is divided by 2, the quotient 
is always odd.
(1) Only (c) (2) Only (d)
(3) All (a), (b), (c) and (d) (4) Only (a) and (d)
35. Identify the correct statement:
(1) For any two integers, a and b, a × (–b) is always 
negative.
(2) Difference of two negative integers cannot be 
positive.
(3) Product of a negative integer with another 
negative integer will give an integer smaller than 
both the integers.
(4) Product of a negative with a positive integer will 
be an integer less than 0.
36. The area of a rhombus shaped field is 5880 m
2 
and 
of its diagonal is 70 m. What is the side (in m) of the 
field?
(1) 84 (2) 91
(3) 63 (4) 98
37. The area of a square with side x units is double 
the area of a triangle with base x units. Then, the 
altitude of the triangle is:
(1)
 
x
2
 
units (2) x units
(3) 2x units (4) 4x units
38. The total surface area of a solid right circular cylinder 
is 3.52 m
2
 and the radius of its base is 0.35 m. The 
height of the cylinder is:
 
Take 






22
7
(1)
 
5
4
m
 
(2)
 
5
2
m
(3)
 
7
4
m
 
(4)
 
7
2
m
39. Numbers 12, 13, 14, ....., 40, 41 are written on 
different slips, one number on one slip. These slips 
are put into a bag. Radha takes out one slip from 
the bag without looking into the bag. What is the 
probability that the slip drawn by her is Not a prime 
number?
(1)
 
4
5
 
(2)
 
7
10
(3)
 
11
15
 
(4)
 
23
30
40. The mean of some observations is 54. If each 
observation increased by 8 and its sum is divided 
by 2, then what is the mean of the resulting 
observations?
(1) 27 (2) 31
(3) 35 (4) 62
41. What is the product of 9x
2
 + 4y
2
, 3x + 2y and 
3x – 2y?
(1) 18x
4
 + 16y
4  (2) 27x
2
 – 64y
4
(3) 81x
4
 + 16y
4
 (4) 81x
4
 – 16y
4
42. 
ab aa b
aa bb ab
22
 
 
()
() ()
, a ? b, is equal to
(1)
 
ab
ab
-
-
2
 
(2)
 
2ab
ab


(3)
 
2ab
ab
-
-
 
(4)
 
ab
ab


2
43. If y
yy



 1
2
1
2
3
;
 
then what is the value of 
57
2
y +
?
(1)
 
3
1
2
 
(2)
 
8
1
2
(3) 6 (4) 7
44. Subtracting x
2 
– x – 19 from the sum of 3x
2
 – 8x + 11 
and –6x
2
 + 12x + 17, we get
(1) 4x
2
  + 5x + 9 (2) 4x
2
  – 5x + 47
(3) –4x
2
 + 5x – 9 (4) –4x
2
 + 5x + 47
45. The selling price of a toy is `1020. If the profit made 
by the shopkeeper is 20%, then the cost price of the 
toy is
(1) `720 (2) `750
(3) `800 (4) `850
46. Which of the following triangle(s) has/have no line 
of symmetry?
(1) Equilateral triangle only
(2) Isosceles triangle only
(3) Scalene triangle only
(4) Both scalene triangle and isosceles triangle
47. ABCD is a rhombus in which ?BAC = 50°, then 
3 ?D – 2 ?DAC is equal to
(1) 120° (2) 140°
(3) 150° (4) 160°
48. ABC and DBC are two triangles formed on the same 
base BC and on the same side of it. If AC = DB and 
AB = DC, then which of the following is correct?
(1) DABC ? DCBD (2) DABC ? DDCB
(3) DABC ? DDBC (4) DABC ? DBCD
49. Side BC of a triangle ABC is produced to a point D. 
If ?A = 40° and AC = BC, then 2 ?ACD + 3 ?B is 
equal to
(1) 280° (2) 260°
(3) 240° (4) 220°
  
50. Sum of the two vertically opposite angles x and y is 
80°. If z is the complement of angle y, then 3x – y + z 
is equal to
(1) 110° (2) 120°
(3) 130° (4) 150°
51. Which one of the following statement is NOT true 
about the five steps of the Mathematisation?
(1) Identifying the real problem in the context.
(2) Memorising an algorithm.
(3) Solving meaningful mathematical problems.
(4) Making sense of mathematical solutions in real 
life.
52. Mathematical concepts form a complex web of 
connections in which new concepts and previously 
learnt concepts are inter connected.
 Which of the following statements most 
appropriately describes this?
(1) Fraction must be taught before whole numbers
(2) Multiplication and division must precede 
addition and subtraction
(3) Number concepts and patterns are building 
blocks to algebraic thinking
(4) Proportional Reasoning does not involve 
algebraic thinking
53. Which of the following is indicative of mathematics 
classroom based on Social Constructivist framework?
(1) A teacher demonstrating the use of dienes block.
(2) Students responding to a quiz by raising hands.
(3) Students working independently with 
Geoboards.
(4) Students working in collaboration on a project.
54. A teacher poses the following problem of algebra to 
her class:
 "Does the graph x = y
2
 ever intersect the graph of 
x = y
2
 + 2? What are the different ways you would 
use to test your conjecture? Would your conjecture 
hold true for other equations of the form x = y
2
 + 
b.”
 Which of the following statement/statements is/are 
correct in the given context?
(a) One of the learning outcomes of posing this 
questions is comparison and analysis of quadratic 
equations.
(b) T eacher should focus only on getting the solution 
that the two graphs will not intersect.
(c) The teacher can assess the reasoning skills of 
students.
(d) Such questions confuse the students and hence 
should be discouraged in a mathematicians 
classroom.
 Choose the correct option:
(1) (a) and (c) (2) only (d)
(3) only (b) (4) (a) and (b)
55. For assessing the performance of students in 
mathematics over a period of time, Mr. Raju has 
collected exemplary works of his class VIII students 
which includes assignments, project reports, 
homework, models, unit tests and class tests, etc. 
The assessment strategy used by Mr. Raju is a
(1) Cumulative reward (2) Anecdotal reward
(3) Portfolio (4) Rubrics
56. The definition "Mathematics is a way to settle in the 
mind,  a habit of reasoning" is given by ............... .
(a) Locke (b) Galileo
(c) Bruner (d) Napolean
57. While making a lesson plan on introducing Data 
handling, a middle school mathematics teacher 
thought of formulating a four-step process for Data 
handling.
 The four-steps are given in random order.
(a) Collecting the data
(b) Interpreting the results
(c) Formulating the questions
(d) Analysing the data
 Which of the following represents the correct order 
of process?
(1) (a), (c), (d), (b) (2) (c), (d), (a), (b)
(3) (c), (a), (d), (b) (4) (a), (d), (b), (c)
58. After teaching the topic “Congruence of 2D figures”, 
a middle school teacher starts a discussion with the 
students to assess their understanding of the topic 
During the discussion, one of the students said, ‘T wo 
regions having same area are also congruent’.
 Which of the following statements is correct with 
respect to student's response?
(1) Student’s generalisation is correct.
(2) Student’s generalisation is correct for 
quadrilaterals.
(3) Such responses need to be ignored by the 
teacher.
(4) Student’s misconception needs to be addresed 
by the teacher.
59. While teaching in a mathematics class, a teacher 
gives the statement “Common Divisor of two 
integers is a number which divides both the given 
integers”. The statement is a
(1) Proposition (2) Definition
(3) Axiom (4) Open sentence
60. A teacher folds a square sheet of paper into half 
and punches a hole in the folded sheet of paper. 
She then unfolds the paper. Which of the following 
topics she can teach with this activity?
(1) Symmetry and volume
(2) Volume and fraction
(3) Symmetry and fraction
(4) Surface area of a square
61. Which of the following are characrteristic features of 
trees in mountain range?
(A) sloping branches (B) needle like leaves
(C) waxy, thick stem (d) long penetrating roots
(1) A & B (2) B & C
(3) C & D (4) A & C
62. Read the following statements and choose the 
correct option
 Assertion: Water boils easily at low altitude regions 
like sea shore.
 Reason: Atmospheric pressure is less at lower 
altitudes.
(1) Both Assertion and Reason are correct and 
Reason is the correct explanation of Assertion.
(2) Both Assertion and Reason are correct but 
Reason is not the correct explanation of the 
Assertion.
(3) Assertion is correct but Reason is false.
(4) Both Assertion and Reason are false.
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. What is meant by ‘sensitive period’ in child 
development?
(1) Period concerning a rapid advances only in 
cognition and learning.
(2) Optimal period for development of specific 
capabilities.
(3) Period in which development of only language 
can be accelerated.
(4) Period at which physical growth is at its peak.
2. Cephalo–Candal principal of development states 
that—
(1) development proceeds from head to toe.
(2) development proceeds from centre to extremities.
(3) development proceeds from toe to head.
(4) development proceeds from extremities to the 
centre.
3. Thought becomes abstract and idealistic during the 
period of –
(1) Infancy (2) Early childhood
(3) Middle childhood (4) Adolescence
4. Rearranging schemas, linking them with other 
schemas to create a strongly interconnected 
cognitive system in Piaget’s theory is referred to as
(1) Assimilation. (2) Accommodation.
(3) Organization. (4) Maturation.
5. Children in ............... stage can solve problems 
mentally but the problems themselves have to be 
related to materials and not symbols.
(1) formal operational
(2) concrete operational
(3) sensori – motor
(4) pre-operational
6. Socio-constructivist theorist consider the child as:
(1) a blank slate
(2) passive recipients of knowledge
(3) active beings involved in creation of knowledge.
(4) miniature adults.
7. Encouraging dialogue among students and 
providing scaffolding are examples of:
(1) creating a zone of proximal development.
(2) conditioning of responses.
(3) positive reinforcement.
(4) transfer of learning.
8. Who proposed that new knowledge is constructed 
is a zone between what the child knows and what 
she is capable of knowing with support?
(1) Lev Vygotsky (2) Jean Piaget
(3) Howard Gardner (4) Ivan Pavlov
9. Which of these situations is illustrative of a child-
centred classroom?
(1) A class in which the students are sitting in 
groups and the teacher takes turns to go to each 
group.
(2) A class in which the behaviour of students is 
governed by the rewards and punishment the 
teacher would give them.
(3) A class in which the teacher dictates and the 
students are asked to memorise the notes.
(4) A class in which the students do whatever they 
want while the teacher watches them silently.
10. The idea of ideal reciprocity as exhibited in the 
Golden Rule is the key characteristics of which stage 
of moral development according to Kohlberg?
(1) Social order orientation
(2) Social contract orientation
(3) Universal ethical principles
(4) Good boy–good girl orientation
11. Intelligence is ............... according to Howard 
Gardner.
(1) a positive change in behaviour
(2) a negative change in behaviour
(3) the ability to produce original products
(4) a set of several distinct abilities
12. Assertion (A) : Teachers should follow standardized 
curriculum, pedagogy and methods of assessment.
 Reason (R) : Educational systems should ignore and 
dismiss individual differences among the children.
(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.
13. Encouraging girls to take up languages and arts 
and discouraging them to take up mathematics and 
science is an example of:
(1) gender equity (2) gender constancy
(3) gender discrimination (4) gender empowerment
14. Which of the following statements correctly 
describes the relationship between language and 
thought as per the socio-constructivist perspective?
(1) Language determines thought.
(2) Thought is governed and directed by language.
(3) Relationship between language and thought is 
bi-directional.
(4) Language and thought are independent 
cognitive capabilities.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
01 st January, 2022
  
15. To ensure focus on ‘assessment for learning’ rather 
then ‘assessment of learning’ it is important to 
include:
(i) Self – assessment
(ii) Peer– assessment
(iii) Quantitative feedback
(iv) Comparisons between students on quantitative 
parameters
(1) (iii), (iv) (2) (i), (ii), (iii)
(3) (ii), (iii), (iv) (4) (i), (ii), (iii), (iv)
16. Which of the following practice promotes inclusion 
in education?
(1) Corporal punishment to students
(2) Learning for competitive exams
(3) Respect for diversity
(4) Standardized curriculum
17. Which of the following disability causes challenges 
in paying attention and sustaining long duration 
involvement in tasks?
(1) Attention Deficit Hyperactivity Disorder
(2) Dysgraphia
(3) Dyslexia
(4) Visual Impairment
18. In a class having learners from various linguistics 
identities, a teacher should practice:
(1) Multilingualism (2) Segregation
(3) Labelling (4) Stereotyping
19. Use of multimedia for communication will help 
inclusion of: 
(i) students with intellectual difficulties
(ii) students with giftedness
(iii) students with Autism
(iv) students with Dyslexia
(1) (i) (2) (ii), (iii)
(3) (i), (ii), (iv) (4) (i), (ii), (iii), (iv)
20. Which of the following is a correctly matched pair of 
appropriate accommodation strategy for inclusion of 
students with specific disability?
(1) Dyscalculia: Prohibition of use of calculator
(2) Dyslexia: Giving long essays to be written
(3) Visual impairment: Providing read-to-text 
software
(4) Autism: Increasing visual overload
21. Which of the following does not facilitate students’ 
thinking?
(1) Active involvement (2) Meaningful activities
(3) Passive listening (4) Social participation
22. .................... opportunity of hands-on activities is 
likely to .................... learning among students.
(1) Avoiding, improve (2) Facilitating, improve
(3) Presenting, stagnate (4) Preventing, enhance
23. Which of the following is correct in context of 
learning?
(1) Students learn best when they participate in 
activities that are related to their context
(2) Students learn best when they participate in 
activities that are not related to their context
(3) Students learn best when they participate in 
meaningless activities
(4) Students learn best when they participate in 
mechanical activities
24. While introducing a new topic, a teacher should ask 
questions which:
(1) are from the domains completely unfamiliar 
from students.
(2) are much beyond their cognitive abilities.
(3) has not relation with the topic to be taught.
(4) relates the topic to be studied with what students 
already know.
25. Socio-cultural context of students:
(1) has minimal role in the learning process
(2) has no role in the learning process
(3) plays a significant role in the learning process
(4) should be ignored in the learning process
26. A teacher intends to facilitate reflective skills among 
her students. This can be done by:
(1) Asking students to copy the content written on 
board.
(2) Encouraging students to ask themselves 
questions about their understanding.
(3) Giving a passage to students for rote – 
memorization.
(4) Shaping the students’ behaviour using stimulus 
–response associations.
27. A teacher should:
(1) discourage students to identify their errors 
themselves
(2) ignore misconceptions carried by students
(3) strengthen students’ misconceptions.
(4) scaffold students to correct their errors 
themselves.
28. A student is felling very nervous and having high 
anxiety before the exam. His emotional state is likely 
to
(1) cause internal motivation for performance.
(2) have no impact on his performance in exam.
(3) improve his performance in exam.
(4) negativity impact his performance in exam.
29. Which of following is a correctly matched pair of a 
source of motivation and the type of motivation?
(1) Curiosity – Intrinsic motivation
(2) Appreciation from peers – Intrinsic motivation
(3) Praise of teacher – Intrinsic motivation
(4) Trophy in match – Intrinsic motivation
30. Which of the following will not facilitate 
understanding of a concept?
(1) Asking students to copy the answers from the 
notes given by teacher.
(2) Asking students to explain that concept in their 
own words.
(3) Asking students to frame principles from specific 
examples.
(4) Asking students to generate analogies between 
different conditions.
Mathematics and Science
31. The sum of the LCM and HCF of 198, 135 and 108 is:
(1) 2979 (2) 3966
(3) 5949 (4) 4464
  
32. The value of 
450
338
125
245
÷
 
is:
(1)
 
14
13
 
(2)
 
13
25
(3)
 
21
13
 
(4)
 
91
75
33. If a = 
5
11
 
and b = 
3
7
, then (a + b)
–1
 × (a
–1
 + b
–1
) is 
equal to
(1)
 
15
77
 
(2)
 
68
15
(3)
 
15
68
 
(4)
 
77
15
34. Which of the following is/are Not true about natural 
numbers?
(a) Every prime number is an odd number.
(b) All even numbers are composite numbers.
(c) The sum of two prime numbers is always an 
even number.
(d) If an even number is divided by 2, the quotient 
is always odd.
(1) Only (c) (2) Only (d)
(3) All (a), (b), (c) and (d) (4) Only (a) and (d)
35. Identify the correct statement:
(1) For any two integers, a and b, a × (–b) is always 
negative.
(2) Difference of two negative integers cannot be 
positive.
(3) Product of a negative integer with another 
negative integer will give an integer smaller than 
both the integers.
(4) Product of a negative with a positive integer will 
be an integer less than 0.
36. The area of a rhombus shaped field is 5880 m
2 
and 
of its diagonal is 70 m. What is the side (in m) of the 
field?
(1) 84 (2) 91
(3) 63 (4) 98
37. The area of a square with side x units is double 
the area of a triangle with base x units. Then, the 
altitude of the triangle is:
(1)
 
x
2
 
units (2) x units
(3) 2x units (4) 4x units
38. The total surface area of a solid right circular cylinder 
is 3.52 m
2
 and the radius of its base is 0.35 m. The 
height of the cylinder is:
 
Take 






22
7
(1)
 
5
4
m
 
(2)
 
5
2
m
(3)
 
7
4
m
 
(4)
 
7
2
m
39. Numbers 12, 13, 14, ....., 40, 41 are written on 
different slips, one number on one slip. These slips 
are put into a bag. Radha takes out one slip from 
the bag without looking into the bag. What is the 
probability that the slip drawn by her is Not a prime 
number?
(1)
 
4
5
 
(2)
 
7
10
(3)
 
11
15
 
(4)
 
23
30
40. The mean of some observations is 54. If each 
observation increased by 8 and its sum is divided 
by 2, then what is the mean of the resulting 
observations?
(1) 27 (2) 31
(3) 35 (4) 62
41. What is the product of 9x
2
 + 4y
2
, 3x + 2y and 
3x – 2y?
(1) 18x
4
 + 16y
4  (2) 27x
2
 – 64y
4
(3) 81x
4
 + 16y
4
 (4) 81x
4
 – 16y
4
42. 
ab aa b
aa bb ab
22
 
 
()
() ()
, a ? b, is equal to
(1)
 
ab
ab
-
-
2
 
(2)
 
2ab
ab


(3)
 
2ab
ab
-
-
 
(4)
 
ab
ab


2
43. If y
yy



 1
2
1
2
3
;
 
then what is the value of 
57
2
y +
?
(1)
 
3
1
2
 
(2)
 
8
1
2
(3) 6 (4) 7
44. Subtracting x
2 
– x – 19 from the sum of 3x
2
 – 8x + 11 
and –6x
2
 + 12x + 17, we get
(1) 4x
2
  + 5x + 9 (2) 4x
2
  – 5x + 47
(3) –4x
2
 + 5x – 9 (4) –4x
2
 + 5x + 47
45. The selling price of a toy is `1020. If the profit made 
by the shopkeeper is 20%, then the cost price of the 
toy is
(1) `720 (2) `750
(3) `800 (4) `850
46. Which of the following triangle(s) has/have no line 
of symmetry?
(1) Equilateral triangle only
(2) Isosceles triangle only
(3) Scalene triangle only
(4) Both scalene triangle and isosceles triangle
47. ABCD is a rhombus in which ?BAC = 50°, then 
3 ?D – 2 ?DAC is equal to
(1) 120° (2) 140°
(3) 150° (4) 160°
48. ABC and DBC are two triangles formed on the same 
base BC and on the same side of it. If AC = DB and 
AB = DC, then which of the following is correct?
(1) DABC ? DCBD (2) DABC ? DDCB
(3) DABC ? DDBC (4) DABC ? DBCD
49. Side BC of a triangle ABC is produced to a point D. 
If ?A = 40° and AC = BC, then 2 ?ACD + 3 ?B is 
equal to
(1) 280° (2) 260°
(3) 240° (4) 220°
  
50. Sum of the two vertically opposite angles x and y is 
80°. If z is the complement of angle y, then 3x – y + z 
is equal to
(1) 110° (2) 120°
(3) 130° (4) 150°
51. Which one of the following statement is NOT true 
about the five steps of the Mathematisation?
(1) Identifying the real problem in the context.
(2) Memorising an algorithm.
(3) Solving meaningful mathematical problems.
(4) Making sense of mathematical solutions in real 
life.
52. Mathematical concepts form a complex web of 
connections in which new concepts and previously 
learnt concepts are inter connected.
 Which of the following statements most 
appropriately describes this?
(1) Fraction must be taught before whole numbers
(2) Multiplication and division must precede 
addition and subtraction
(3) Number concepts and patterns are building 
blocks to algebraic thinking
(4) Proportional Reasoning does not involve 
algebraic thinking
53. Which of the following is indicative of mathematics 
classroom based on Social Constructivist framework?
(1) A teacher demonstrating the use of dienes block.
(2) Students responding to a quiz by raising hands.
(3) Students working independently with 
Geoboards.
(4) Students working in collaboration on a project.
54. A teacher poses the following problem of algebra to 
her class:
 "Does the graph x = y
2
 ever intersect the graph of 
x = y
2
 + 2? What are the different ways you would 
use to test your conjecture? Would your conjecture 
hold true for other equations of the form x = y
2
 + 
b.”
 Which of the following statement/statements is/are 
correct in the given context?
(a) One of the learning outcomes of posing this 
questions is comparison and analysis of quadratic 
equations.
(b) T eacher should focus only on getting the solution 
that the two graphs will not intersect.
(c) The teacher can assess the reasoning skills of 
students.
(d) Such questions confuse the students and hence 
should be discouraged in a mathematicians 
classroom.
 Choose the correct option:
(1) (a) and (c) (2) only (d)
(3) only (b) (4) (a) and (b)
55. For assessing the performance of students in 
mathematics over a period of time, Mr. Raju has 
collected exemplary works of his class VIII students 
which includes assignments, project reports, 
homework, models, unit tests and class tests, etc. 
The assessment strategy used by Mr. Raju is a
(1) Cumulative reward (2) Anecdotal reward
(3) Portfolio (4) Rubrics
56. The definition "Mathematics is a way to settle in the 
mind,  a habit of reasoning" is given by ............... .
(a) Locke (b) Galileo
(c) Bruner (d) Napolean
57. While making a lesson plan on introducing Data 
handling, a middle school mathematics teacher 
thought of formulating a four-step process for Data 
handling.
 The four-steps are given in random order.
(a) Collecting the data
(b) Interpreting the results
(c) Formulating the questions
(d) Analysing the data
 Which of the following represents the correct order 
of process?
(1) (a), (c), (d), (b) (2) (c), (d), (a), (b)
(3) (c), (a), (d), (b) (4) (a), (d), (b), (c)
58. After teaching the topic “Congruence of 2D figures”, 
a middle school teacher starts a discussion with the 
students to assess their understanding of the topic 
During the discussion, one of the students said, ‘T wo 
regions having same area are also congruent’.
 Which of the following statements is correct with 
respect to student's response?
(1) Student’s generalisation is correct.
(2) Student’s generalisation is correct for 
quadrilaterals.
(3) Such responses need to be ignored by the 
teacher.
(4) Student’s misconception needs to be addresed 
by the teacher.
59. While teaching in a mathematics class, a teacher 
gives the statement “Common Divisor of two 
integers is a number which divides both the given 
integers”. The statement is a
(1) Proposition (2) Definition
(3) Axiom (4) Open sentence
60. A teacher folds a square sheet of paper into half 
and punches a hole in the folded sheet of paper. 
She then unfolds the paper. Which of the following 
topics she can teach with this activity?
(1) Symmetry and volume
(2) Volume and fraction
(3) Symmetry and fraction
(4) Surface area of a square
61. Which of the following are characrteristic features of 
trees in mountain range?
(A) sloping branches (B) needle like leaves
(C) waxy, thick stem (d) long penetrating roots
(1) A & B (2) B & C
(3) C & D (4) A & C
62. Read the following statements and choose the 
correct option
 Assertion: Water boils easily at low altitude regions 
like sea shore.
 Reason: Atmospheric pressure is less at lower 
altitudes.
(1) Both Assertion and Reason are correct and 
Reason is the correct explanation of Assertion.
(2) Both Assertion and Reason are correct but 
Reason is not the correct explanation of the 
Assertion.
(3) Assertion is correct but Reason is false.
(4) Both Assertion and Reason are false.
  
63. Which of the following statement is true when a ray 
of light travels from air into oil?
(1) The speed of light decreases and the ray bends 
towards the normal.
(2) The speed of light increases and the ray bends 
away from the normal.
(3) The speed of light increases and the ray bends 
towards the normal.
(4) The speed of light decreases and the ray bends 
away from the normal.
64. Which of the following represents set of contact 
forces?
(1) electrostatic force, force of friction, magnetic 
force
(2) muscular force, force of friction, gravitational 
force
(3) drag, muscular force, force of friction
(4) gravitational force, electrostatic force, drag
65. A magnet is broken into two pieces. If these two 
pieces are brought closer to each other, they will
(1) attract each other.
(2) repel each other.
(3) may attract or repel.
(4) neither attract nor repel.
66. During a class experiment, a teacher took two 
objects and immersed them in water. She recorded 
the readings using a spring balance as shown below:
Object Wt. of 
Stone 
in Air 
(Newton)
Wt. of 
Stone in 
Water 
(Newton)
Weight 
of Liquid 
displaced 
(Newton)
Buoyant 
Force 
acting 
on body 
(Newton)
A 92 X 16 Y
B Q 70 Z 10
 Which of the following is correct?
(1) X-108, Y-108, Z-10, Q-80
(2) X-108, Y-16, Z-80, Q-80
(3) X-76, Y-16, Z-10, Q-80
(4) X-76, Y-16, Z-80, Q-10
67. Consider the following statements and choose the 
CORRECT one.
 Statement (S1): Rising sun is not considered as an 
appropriate guide to locate direction in all seasons.
 Statement (S2): Point of sunrise changes 
continuously.
 Statement (S3): During Summer Solstice, the point 
of sunrise shifts towards North.
 Statement (S4): During Winter Solstice, the point of 
sunrise shifts towards South.
(1) S1, S3 (2) S1, S2
(3) S1, S2, S3 (4) S2, S3, S4
68. There are three test tubes A, B and C, all having 
colorless liquid of equal volume and strength. A 
drop of phenolphthalein is added to each of them. It 
is observed that test tubes A and B remain colorless 
while C becomes pink. When the pink solution of C 
is added to A and B, it is observed that A remains 
colorless but B attains pink colour. Which of the 
following is correct inference?
(1) A = Strong Acid; B = Strong Base; C = Weak 
Acid
(2) A = Weak Acid; B = Strong Acid; C = Strong 
Base
(3) A = Strong Acid; B = Weak Acid; C = Strong 
Base
(4) A = Strong Acid; B = Weak Acid; C = Weak Base
69. Which of the following pairs can be utilised as acid-
base indicator?
(1) Red cabbage leaves and turmeric
(2) Salt and turmeric
(3) Banana leaves and cabbage leaves
(4) Lemon juice and turmeric
70. Rita wanted to store the pickles in a container. The 
best container for this purpose can be
(1) Aluminium (2) Glass
(3) Copper (4) Brass
71. A material M was heated in a spoon and immediately 
put in a gas jar and was covered. Small amount of 
water was added to the jar and the solution was 
tested with blue litmus paper. The paper turned red. 
Material ‘M’ could be
(1) Sodium (2) Aluminium
(3) Magnesium (4) Sulphur
72. Read the following statements and choose correct 
option.
 Assertion (A): Cellulose rich food substances are 
good source of roughage for human beings.
 Reason (R1): Cellulose gets absorbed and converted 
into fibres during digestion.
 Reason (R2): The cellulose digesting bacteria convert 
cellulose into fibres.
(1) A is true and R1 is correct explanation for A
(2) A is true and R2 is correct explanation for A
(3) A is false and R1 is true
(4) A is false and R2 is true
73.  Which of the following do not contain any enzymes?
(1) Bile juice (2) Pancreatic juice
(3) Gastric juice (4) Salivary juice
74. Two containers A and B contain 50 gm of ice at 0°C 
and 50 gm of water at 0°C respectively. If both the 
containers are kept in the freezer of a refrigerator 
and allowed to reach thermal equilibrium, which of 
the following statements will be true?
(1) A will lose more heat than B
(2) B will lose more heat than A
(3) Both A and B will lose equal heat
(4) Which of them will lose more heat cannot be 
determined
75. The type of joint in elbow of our forelimb undergoes 
similar movement as of the door joint of the house. 
Which joint is this?
(1) Ball and socket joint (2) Pivotal joint
(3) Hinge joint (4) Fixed joint
76. Deficiency of which vitamin leads to excessive 
bleeding from a woud?
(1) C (2) B complex
(3) D (4) K