CTET Solved Question Paper - 2 (06 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. Assertion (A): Children are unable to learn optimally 
when they are undernourished or unwell.
 Reason (R): All domains of development are inter-
related-physical development has an impact on 
cognitive 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.
2. Which principle of development does this illustrate: 
The child learns to stand before she can walk and 
babble before she talks?
(1) Development is sequential
(2) Development proceeds from head to toe
(3) Development is disorderly
(4) Development progresses from centre to the 
extremities.
3. Assertion (A): Children learn the knowledge, skills, 
values and customs of the society only through 
formal agencies.
 Reason (R): Socialization is a simple and linear 
process that takes place in a well-planned manner.
 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.
4. Jean Piaget’s constructivism proposes that 
children progress through four stages of cognitive 
development primarily:
(1) by acting upon the environment.
(2) through social interactions with more 
knowledgeable others.
(3) by imitation of others.
(4) through anticipation of rewards.
5. According to Jean Piaget, at which stage of cognitive 
development can children ‘operate on operations’ 
and perform hypothetico-deductive thinking?
(1) Sensori-motor Stage
(2) Pre-operational Stage
(3) Concrete Operational Stage
(4) Formal Operational Stage
6. ...............  is very important in Lev Vygotsky’s theory 
for cognitive development of children.
(1) Cultural tools (2) Maturation
(3) Punishment (4) Adaptation
7. One of the major differences in the theories of Jean 
Piaget and Lev Vygotsky is:
(1) Piaget emphasized on the role of language in 
cognitive development.
(2) Vygotsky gave primary importance to hereditary 
capacities in learning.
(3) Vygotsky emphasized the role of culture in 
cognitive development.
(4) Piaget gave importance to what the child can 
do on her own as well as what she can do with 
support.
8. Carol Gilligan critiqued Lawrence Kohlberg’s theory 
of moral development by arguing that men have 
morality of ...............  while women have morality of 
............... .
(1) justice; care
(2) care; justice
(3) goodness; sacrifice
(4) sacrifice; goodness
9. Which of the following is a correctly matched pair of 
the type of intelligence and the end state possibilities 
as per the theory of Howard Gardner?
(1) Intelligence-Linguistic, End State Possibility- 
Accountant
(2) Intelligence-Spatial, End State Possibility- 
Architect
(3) Intelligence- Bodily kinesthetic, End State 
Possibility- Singer
(4) Intelligence-Naturalistic, kinesthetic-Teacher
10. National Education Policy 2020 considers 
multilingualism
(1) as a hindrance in children’s learning.
(2) as an asset in the classrooms.
(3) as a unnecessary complication in teaching-
learning process.
(4) as a barrier to inclusive education.
11. In child-centered education, assessment
(1) is undertaken through few periodic examinations.
(2) takes place through written objective type tests.
(3) does not take place at all.
(4) is considered an integral part in the process of 
learning.
12. What does National Education Policy 2020 propose 
for retention of students from socio-economically 
disadvantaged groups?
(1) Rote learning
(2) Standardisation of curriculum and assessment
(3) Performance-oriented testing
(4) Relatable and meaningful curriculum
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
06th January, 2022
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Assertion (A): Children are unable to learn optimally 
when they are undernourished or unwell.
 Reason (R): All domains of development are inter-
related-physical development has an impact on 
cognitive 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.
2. Which principle of development does this illustrate: 
The child learns to stand before she can walk and 
babble before she talks?
(1) Development is sequential
(2) Development proceeds from head to toe
(3) Development is disorderly
(4) Development progresses from centre to the 
extremities.
3. Assertion (A): Children learn the knowledge, skills, 
values and customs of the society only through 
formal agencies.
 Reason (R): Socialization is a simple and linear 
process that takes place in a well-planned manner.
 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.
4. Jean Piaget’s constructivism proposes that 
children progress through four stages of cognitive 
development primarily:
(1) by acting upon the environment.
(2) through social interactions with more 
knowledgeable others.
(3) by imitation of others.
(4) through anticipation of rewards.
5. According to Jean Piaget, at which stage of cognitive 
development can children ‘operate on operations’ 
and perform hypothetico-deductive thinking?
(1) Sensori-motor Stage
(2) Pre-operational Stage
(3) Concrete Operational Stage
(4) Formal Operational Stage
6. ...............  is very important in Lev Vygotsky’s theory 
for cognitive development of children.
(1) Cultural tools (2) Maturation
(3) Punishment (4) Adaptation
7. One of the major differences in the theories of Jean 
Piaget and Lev Vygotsky is:
(1) Piaget emphasized on the role of language in 
cognitive development.
(2) Vygotsky gave primary importance to hereditary 
capacities in learning.
(3) Vygotsky emphasized the role of culture in 
cognitive development.
(4) Piaget gave importance to what the child can 
do on her own as well as what she can do with 
support.
8. Carol Gilligan critiqued Lawrence Kohlberg’s theory 
of moral development by arguing that men have 
morality of ...............  while women have morality of 
............... .
(1) justice; care
(2) care; justice
(3) goodness; sacrifice
(4) sacrifice; goodness
9. Which of the following is a correctly matched pair of 
the type of intelligence and the end state possibilities 
as per the theory of Howard Gardner?
(1) Intelligence-Linguistic, End State Possibility- 
Accountant
(2) Intelligence-Spatial, End State Possibility- 
Architect
(3) Intelligence- Bodily kinesthetic, End State 
Possibility- Singer
(4) Intelligence-Naturalistic, kinesthetic-Teacher
10. National Education Policy 2020 considers 
multilingualism
(1) as a hindrance in children’s learning.
(2) as an asset in the classrooms.
(3) as a unnecessary complication in teaching-
learning process.
(4) as a barrier to inclusive education.
11. In child-centered education, assessment
(1) is undertaken through few periodic examinations.
(2) takes place through written objective type tests.
(3) does not take place at all.
(4) is considered an integral part in the process of 
learning.
12. What does National Education Policy 2020 propose 
for retention of students from socio-economically 
disadvantaged groups?
(1) Rote learning
(2) Standardisation of curriculum and assessment
(3) Performance-oriented testing
(4) Relatable and meaningful curriculum
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
06th January, 2022
  
13. In several middle school classrooms it is observed 
that boys often raise their hands to answer more than 
girls and tend to dominate classroom discussions. In 
such context, the teacher should
(1) accept that boys are more intelligent than girls.
(2) accept that girls do not have the potential to 
study in middle class.
(3) analyze how gender differences are inborn and 
cannot be modified.
(4) analyze the context of the children and her own 
pedagogy.
14. Which of the following defines a progressive 
classrooms?
(1) Learning for exams
(2) Focus on experiential learning
(3) Decontextualized curriculum
(4) Teacher centric pedagogy
15. Which of the following questions tests higher-order 
thinking skills such as analysis and evaluation?
(1) What differences do you find between private 
and public health services in your area and why?
(2) What does the Civil Rights Act of 1964 state?
(3) How many states are there in India?
(4) How are the members of Legislative Assembly 
elected?
16. With respect to inclusion of students with disabilities 
in regular schools, which of the following provision 
is against the Rights of persons with disabilities Act 
(2016)?
(1) Extra time for completion of examination paper
(2) Facility of scribe to meet the students’ needs
(3) Compulsory second and third language courses
(4) Reasonable accommodation as per individual’s 
needs
17. To address the diverse learning needs of the 
students, which of the following is a barrier?
(1) Engagement in the activities in multiple ways
(2) Expression of opinion in multiple ways
(3) Labeling and ranking of students in multiple 
ways
(4) Representation of information in multiple ways
18. Which of the following learning disability directly 
affects communication skills and comprehension 
abilities?
(1) Dyscalculia (2) Dysgraphia
(3) Dysphoria (4) Dysphasia
19. To ensure the successful inclusion of students with 
Dysgraphia, it is important to:
(1) allow use of audio recorder or a laptop in class
(2) extensively use written tests for assessment
(3) make it compulsory to write on plain/unruled 
sheets
(4) set fixed timeline to finish the given work
20. Which of the following is NOT a characteristic of 
student with ‘creativity’?
(1) Their problem-solving skills are of higher order
(2) They can solve problems through divergent 
ways
(3) They have low sense of curiosity to learn new 
topics
(4) They often come up with novel ideas and 
innovations
21. Teachers in a middle grade classroom should:
(1) be open to make adaptations as per learners’ 
needs
(2) focus their attention majorly on high achievers
(3) ignore learner diversity in the classroom
(4) use one standardized mode of assessment only
22. Assertion (A): While teaching a concept, a teacher 
should encourage her students to brainstorm the 
instances and examples of contrast.
 Reason (R): Non-examples don’t play any role in 
understanding of a concept.
 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.
23. Few students in a class were not able to achieve the 
individual learning goals set for them. In such a 
scenario, a teacher should:
(1) consider their failure as dishonourable and 
shameful.
(2) expel these students and recommend them to a 
special school.
(3) keep very low expectations of success from them 
in future endeavours.
(4) view failure as a part of the developmental 
process of learning.
24. A teacher intends to assess declarative knowledge 
among her students. Which of the following 
question is appropriate for this purpose?
(1) How to bake a cake?
(2) How to balance a bicycle on a rough terrain?
(3) What is the formula for calculating ‘volume’?
(4) What is the procedure of soil preparation for 
wheat plantation?
25. A teacher intends to facilitate the development of 
metacognition among her students. Which of the 
following skills won’t be helpful for this purpose?
(1) Evaluating (2) Monitoring
(3) Planning (4) Rote-memorisation
26. Constructivist approach considers learning as:
(1) disorganised and unilateral
(2) idiosyncratic and disconnected
(3) interactive and active
(4) passive and dependent
27. Which of the following step is likely to hinder 
problem-solving skills among students?
(1) Activating the schema to comprehend the 
problem
(2) Focusing attention on relevant information 
about problem
(3) Getting stuck on one fixed way of representing a 
problem
(4) Identifying the possible solutions of the problem
28. Contemporary perspectives of cognitive 
development view misconceptions as:
(1) completely insignifcant and an obstacle for 
teaching-learning process.
(2) Higher-order metacognitive skills found typically 
in ‘gifted’ students.
(3) Naive ideas and understanding having their 
roots in ones’ past experiences.
(4) Neurological deficits and identifying 
characteristics of Dyslexia.
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Assertion (A): Children are unable to learn optimally 
when they are undernourished or unwell.
 Reason (R): All domains of development are inter-
related-physical development has an impact on 
cognitive 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.
2. Which principle of development does this illustrate: 
The child learns to stand before she can walk and 
babble before she talks?
(1) Development is sequential
(2) Development proceeds from head to toe
(3) Development is disorderly
(4) Development progresses from centre to the 
extremities.
3. Assertion (A): Children learn the knowledge, skills, 
values and customs of the society only through 
formal agencies.
 Reason (R): Socialization is a simple and linear 
process that takes place in a well-planned manner.
 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.
4. Jean Piaget’s constructivism proposes that 
children progress through four stages of cognitive 
development primarily:
(1) by acting upon the environment.
(2) through social interactions with more 
knowledgeable others.
(3) by imitation of others.
(4) through anticipation of rewards.
5. According to Jean Piaget, at which stage of cognitive 
development can children ‘operate on operations’ 
and perform hypothetico-deductive thinking?
(1) Sensori-motor Stage
(2) Pre-operational Stage
(3) Concrete Operational Stage
(4) Formal Operational Stage
6. ...............  is very important in Lev Vygotsky’s theory 
for cognitive development of children.
(1) Cultural tools (2) Maturation
(3) Punishment (4) Adaptation
7. One of the major differences in the theories of Jean 
Piaget and Lev Vygotsky is:
(1) Piaget emphasized on the role of language in 
cognitive development.
(2) Vygotsky gave primary importance to hereditary 
capacities in learning.
(3) Vygotsky emphasized the role of culture in 
cognitive development.
(4) Piaget gave importance to what the child can 
do on her own as well as what she can do with 
support.
8. Carol Gilligan critiqued Lawrence Kohlberg’s theory 
of moral development by arguing that men have 
morality of ...............  while women have morality of 
............... .
(1) justice; care
(2) care; justice
(3) goodness; sacrifice
(4) sacrifice; goodness
9. Which of the following is a correctly matched pair of 
the type of intelligence and the end state possibilities 
as per the theory of Howard Gardner?
(1) Intelligence-Linguistic, End State Possibility- 
Accountant
(2) Intelligence-Spatial, End State Possibility- 
Architect
(3) Intelligence- Bodily kinesthetic, End State 
Possibility- Singer
(4) Intelligence-Naturalistic, kinesthetic-Teacher
10. National Education Policy 2020 considers 
multilingualism
(1) as a hindrance in children’s learning.
(2) as an asset in the classrooms.
(3) as a unnecessary complication in teaching-
learning process.
(4) as a barrier to inclusive education.
11. In child-centered education, assessment
(1) is undertaken through few periodic examinations.
(2) takes place through written objective type tests.
(3) does not take place at all.
(4) is considered an integral part in the process of 
learning.
12. What does National Education Policy 2020 propose 
for retention of students from socio-economically 
disadvantaged groups?
(1) Rote learning
(2) Standardisation of curriculum and assessment
(3) Performance-oriented testing
(4) Relatable and meaningful curriculum
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
06th January, 2022
  
13. In several middle school classrooms it is observed 
that boys often raise their hands to answer more than 
girls and tend to dominate classroom discussions. In 
such context, the teacher should
(1) accept that boys are more intelligent than girls.
(2) accept that girls do not have the potential to 
study in middle class.
(3) analyze how gender differences are inborn and 
cannot be modified.
(4) analyze the context of the children and her own 
pedagogy.
14. Which of the following defines a progressive 
classrooms?
(1) Learning for exams
(2) Focus on experiential learning
(3) Decontextualized curriculum
(4) Teacher centric pedagogy
15. Which of the following questions tests higher-order 
thinking skills such as analysis and evaluation?
(1) What differences do you find between private 
and public health services in your area and why?
(2) What does the Civil Rights Act of 1964 state?
(3) How many states are there in India?
(4) How are the members of Legislative Assembly 
elected?
16. With respect to inclusion of students with disabilities 
in regular schools, which of the following provision 
is against the Rights of persons with disabilities Act 
(2016)?
(1) Extra time for completion of examination paper
(2) Facility of scribe to meet the students’ needs
(3) Compulsory second and third language courses
(4) Reasonable accommodation as per individual’s 
needs
17. To address the diverse learning needs of the 
students, which of the following is a barrier?
(1) Engagement in the activities in multiple ways
(2) Expression of opinion in multiple ways
(3) Labeling and ranking of students in multiple 
ways
(4) Representation of information in multiple ways
18. Which of the following learning disability directly 
affects communication skills and comprehension 
abilities?
(1) Dyscalculia (2) Dysgraphia
(3) Dysphoria (4) Dysphasia
19. To ensure the successful inclusion of students with 
Dysgraphia, it is important to:
(1) allow use of audio recorder or a laptop in class
(2) extensively use written tests for assessment
(3) make it compulsory to write on plain/unruled 
sheets
(4) set fixed timeline to finish the given work
20. Which of the following is NOT a characteristic of 
student with ‘creativity’?
(1) Their problem-solving skills are of higher order
(2) They can solve problems through divergent 
ways
(3) They have low sense of curiosity to learn new 
topics
(4) They often come up with novel ideas and 
innovations
21. Teachers in a middle grade classroom should:
(1) be open to make adaptations as per learners’ 
needs
(2) focus their attention majorly on high achievers
(3) ignore learner diversity in the classroom
(4) use one standardized mode of assessment only
22. Assertion (A): While teaching a concept, a teacher 
should encourage her students to brainstorm the 
instances and examples of contrast.
 Reason (R): Non-examples don’t play any role in 
understanding of a concept.
 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.
23. Few students in a class were not able to achieve the 
individual learning goals set for them. In such a 
scenario, a teacher should:
(1) consider their failure as dishonourable and 
shameful.
(2) expel these students and recommend them to a 
special school.
(3) keep very low expectations of success from them 
in future endeavours.
(4) view failure as a part of the developmental 
process of learning.
24. A teacher intends to assess declarative knowledge 
among her students. Which of the following 
question is appropriate for this purpose?
(1) How to bake a cake?
(2) How to balance a bicycle on a rough terrain?
(3) What is the formula for calculating ‘volume’?
(4) What is the procedure of soil preparation for 
wheat plantation?
25. A teacher intends to facilitate the development of 
metacognition among her students. Which of the 
following skills won’t be helpful for this purpose?
(1) Evaluating (2) Monitoring
(3) Planning (4) Rote-memorisation
26. Constructivist approach considers learning as:
(1) disorganised and unilateral
(2) idiosyncratic and disconnected
(3) interactive and active
(4) passive and dependent
27. Which of the following step is likely to hinder 
problem-solving skills among students?
(1) Activating the schema to comprehend the 
problem
(2) Focusing attention on relevant information 
about problem
(3) Getting stuck on one fixed way of representing a 
problem
(4) Identifying the possible solutions of the problem
28. Contemporary perspectives of cognitive 
development view misconceptions as:
(1) completely insignifcant and an obstacle for 
teaching-learning process.
(2) Higher-order metacognitive skills found typically 
in ‘gifted’ students.
(3) Naive ideas and understanding having their 
roots in ones’ past experiences.
(4) Neurological deficits and identifying 
characteristics of Dyslexia.
  
29. Students with performance-avoidance goals focus 
on
(1) enjoyment of activity (2) fear of failing
(3) hope of success (4) sense of pride
30. Which of the following set of attributions on success 
or failure on a task is likely to cause increase in 
students’ motivation and attempts to engage in 
similar tasks in the future?
(1) External, Non-controllable
(2) External, Stable
(3) Internal, Stable
(4) Internal, Controllable
Mathematics and Science
31. –25 × (7 + 3) is not the same as
(1) (–25) × 7 + (–25) × 3 (2) (–25) × 10
(3) –250 (4) (–25) × 7 × 3
32. In Roman Numerals, which of the number is not 
correct?
(1) LXIII (2) XCII
(3) LC (4) XLIV
33. Which of the following statement is NOT true?
(1) HCF and LCM of two numbers x and y are 15 
and 120 respectively.
(2) HCF and LCM of two numbers x and y are 20 
and 250 respectively.
(3) LCM and HCF of two numbers x and y are 70 
and 14 respectively.
(4) LCM and HCF of two numbers x and y are 300 
and 50 respectively.
34. On dividing 2
1
3
2
5
 by , the result is:
(1) 
5
3
 
(2)
 
35
3
(3)
 
35
7
 
(4)
 
35
6
35. If A, B and C are digits and
    3 A B
   + A B 1
    C 1 8
 then, value of C is:
(1) 6 (2) 7
(3) 8 (4) 9
36. The annual income of Naresh is `5,76,000 and his 
annual savings is `72,000. The ratio of his annual 
savings to his expenditure is:
(1) 1:5 (2) 1:6
(3) 1:7 (4) 1:8
37. If 3x + 5 = 0, then the value of x
2
 – 3x is equal to:
(1)
 
7
7
9
 
(2)
 
7
4
9
(3)
 
-2
2
9
 
(4)
 
-2
1
9
38. The coefficient of x
2
 in the sum of the expressions 
–3x
3
y
2
 + 2x
2
y
3
 and –3x
2
y
3
 – 5y
4
 is:
(1) –3 (2) –y
3
(3) y
3
 (4) 3
39. On dividing (x
3  – 5x
2
 – 24x)(4x
2
 – 9y
2
) by x(x – 8)
(2x – 3y), the result is:
(1) (x + 3)(2x + 3y) (2) (x + 3)(2x – 3y)
(3) (x – 8)(2x + 3y) (4) (x – 8)(2x – 3y)
40. If  P = 3x
2
 + y
2
,
   Q = 2x
2
 + 3y
2
,
 and R = 4x
4
 + 5y
4
 
 then, P × Q – R is equal to
(1) 2x
4
 + 11x
2
y
2
 – 2y
4
 (2) 2x
4
 + 9x
2
y
2
 – 2y
4
(3) 2x
4
 + 13x
2
y
2
 + 2y
4
 (4) 2x
4
 + 10x
2
y
2
 + 2y
4
41. Which of the following figures has a linear symmetry 
but no rotational symmetry?
(1) Parallelogram (2) Kite
(3) Rectangle (4) Rhombus
42. Three angles of a triangle are in the ratio 3 : 5 : 4 and 
the greatest angle is x.
 Then, the value of 4x + 9° is:
(1) 349° (2) 309°
(3) 249° (4) 159°
43. The sum of the supplement and complement of an 
angle x is 240°. Then, the value of 3x – 20° is:
(1) 15° (2) 30°
(3) 25° (4) 50°
44. If F, V and E are respectively the number of faces, 
vertices and edges of a hexagonal pyramid, then 
which of the following statement is true?
(1) 2F + V – E = 8 (2) 2F + V – E = 9
(3) 2F + 2V – E = 15 (4) 3F + 2V – 2E = 10
45. The lengths of the two diagonals of a rectangle 
ABCD are (6x + 3) and (4x + 7).
 Then, the value of (6x + 3) + (4x + 7) is:
(1) 20 (2) 25
(3) 30 (4) 35
46. Sides of a triangle are of lengths 12 cm, 13 cm and 
5 cm. Then, altitude corresponding to the longest 
side of the triangle is:
(1)
 
4
8
13
cm
 
(2)
 
2
4
13
cm
(3)
 
4
5
13
cm
 
(4)
 
2
9
13
cm
47. The perimeter of a trapezium ABCD is 90 cm and 
length of each of its non-parallel sides AD and BC 
is 17 cm. If area of the trapezium is 420 cm
2
, then 
distance between the two parallel sides of the 
trapezium is:
(1) 17 cm (2) 16 cm
(3) 15 cm (4) 14 cm
48. The curved surface area of a right circular cylinder is 
one-third of its total surface area.
 If radius of the cylinder is 8 cm, then volume of the 
cylinder (in cm
3
) is:
(1) 256 p (2) 128 p
(3) 288 p (4) 144 p
49. If mean of the observations 25, 29, 25, 32, 24 and x is 
27 then median of the observations is:
(1) 32 (2) 27
(3) 26 (4) 25
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Assertion (A): Children are unable to learn optimally 
when they are undernourished or unwell.
 Reason (R): All domains of development are inter-
related-physical development has an impact on 
cognitive 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.
2. Which principle of development does this illustrate: 
The child learns to stand before she can walk and 
babble before she talks?
(1) Development is sequential
(2) Development proceeds from head to toe
(3) Development is disorderly
(4) Development progresses from centre to the 
extremities.
3. Assertion (A): Children learn the knowledge, skills, 
values and customs of the society only through 
formal agencies.
 Reason (R): Socialization is a simple and linear 
process that takes place in a well-planned manner.
 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.
4. Jean Piaget’s constructivism proposes that 
children progress through four stages of cognitive 
development primarily:
(1) by acting upon the environment.
(2) through social interactions with more 
knowledgeable others.
(3) by imitation of others.
(4) through anticipation of rewards.
5. According to Jean Piaget, at which stage of cognitive 
development can children ‘operate on operations’ 
and perform hypothetico-deductive thinking?
(1) Sensori-motor Stage
(2) Pre-operational Stage
(3) Concrete Operational Stage
(4) Formal Operational Stage
6. ...............  is very important in Lev Vygotsky’s theory 
for cognitive development of children.
(1) Cultural tools (2) Maturation
(3) Punishment (4) Adaptation
7. One of the major differences in the theories of Jean 
Piaget and Lev Vygotsky is:
(1) Piaget emphasized on the role of language in 
cognitive development.
(2) Vygotsky gave primary importance to hereditary 
capacities in learning.
(3) Vygotsky emphasized the role of culture in 
cognitive development.
(4) Piaget gave importance to what the child can 
do on her own as well as what she can do with 
support.
8. Carol Gilligan critiqued Lawrence Kohlberg’s theory 
of moral development by arguing that men have 
morality of ...............  while women have morality of 
............... .
(1) justice; care
(2) care; justice
(3) goodness; sacrifice
(4) sacrifice; goodness
9. Which of the following is a correctly matched pair of 
the type of intelligence and the end state possibilities 
as per the theory of Howard Gardner?
(1) Intelligence-Linguistic, End State Possibility- 
Accountant
(2) Intelligence-Spatial, End State Possibility- 
Architect
(3) Intelligence- Bodily kinesthetic, End State 
Possibility- Singer
(4) Intelligence-Naturalistic, kinesthetic-Teacher
10. National Education Policy 2020 considers 
multilingualism
(1) as a hindrance in children’s learning.
(2) as an asset in the classrooms.
(3) as a unnecessary complication in teaching-
learning process.
(4) as a barrier to inclusive education.
11. In child-centered education, assessment
(1) is undertaken through few periodic examinations.
(2) takes place through written objective type tests.
(3) does not take place at all.
(4) is considered an integral part in the process of 
learning.
12. What does National Education Policy 2020 propose 
for retention of students from socio-economically 
disadvantaged groups?
(1) Rote learning
(2) Standardisation of curriculum and assessment
(3) Performance-oriented testing
(4) Relatable and meaningful curriculum
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
06th January, 2022
  
13. In several middle school classrooms it is observed 
that boys often raise their hands to answer more than 
girls and tend to dominate classroom discussions. In 
such context, the teacher should
(1) accept that boys are more intelligent than girls.
(2) accept that girls do not have the potential to 
study in middle class.
(3) analyze how gender differences are inborn and 
cannot be modified.
(4) analyze the context of the children and her own 
pedagogy.
14. Which of the following defines a progressive 
classrooms?
(1) Learning for exams
(2) Focus on experiential learning
(3) Decontextualized curriculum
(4) Teacher centric pedagogy
15. Which of the following questions tests higher-order 
thinking skills such as analysis and evaluation?
(1) What differences do you find between private 
and public health services in your area and why?
(2) What does the Civil Rights Act of 1964 state?
(3) How many states are there in India?
(4) How are the members of Legislative Assembly 
elected?
16. With respect to inclusion of students with disabilities 
in regular schools, which of the following provision 
is against the Rights of persons with disabilities Act 
(2016)?
(1) Extra time for completion of examination paper
(2) Facility of scribe to meet the students’ needs
(3) Compulsory second and third language courses
(4) Reasonable accommodation as per individual’s 
needs
17. To address the diverse learning needs of the 
students, which of the following is a barrier?
(1) Engagement in the activities in multiple ways
(2) Expression of opinion in multiple ways
(3) Labeling and ranking of students in multiple 
ways
(4) Representation of information in multiple ways
18. Which of the following learning disability directly 
affects communication skills and comprehension 
abilities?
(1) Dyscalculia (2) Dysgraphia
(3) Dysphoria (4) Dysphasia
19. To ensure the successful inclusion of students with 
Dysgraphia, it is important to:
(1) allow use of audio recorder or a laptop in class
(2) extensively use written tests for assessment
(3) make it compulsory to write on plain/unruled 
sheets
(4) set fixed timeline to finish the given work
20. Which of the following is NOT a characteristic of 
student with ‘creativity’?
(1) Their problem-solving skills are of higher order
(2) They can solve problems through divergent 
ways
(3) They have low sense of curiosity to learn new 
topics
(4) They often come up with novel ideas and 
innovations
21. Teachers in a middle grade classroom should:
(1) be open to make adaptations as per learners’ 
needs
(2) focus their attention majorly on high achievers
(3) ignore learner diversity in the classroom
(4) use one standardized mode of assessment only
22. Assertion (A): While teaching a concept, a teacher 
should encourage her students to brainstorm the 
instances and examples of contrast.
 Reason (R): Non-examples don’t play any role in 
understanding of a concept.
 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.
23. Few students in a class were not able to achieve the 
individual learning goals set for them. In such a 
scenario, a teacher should:
(1) consider their failure as dishonourable and 
shameful.
(2) expel these students and recommend them to a 
special school.
(3) keep very low expectations of success from them 
in future endeavours.
(4) view failure as a part of the developmental 
process of learning.
24. A teacher intends to assess declarative knowledge 
among her students. Which of the following 
question is appropriate for this purpose?
(1) How to bake a cake?
(2) How to balance a bicycle on a rough terrain?
(3) What is the formula for calculating ‘volume’?
(4) What is the procedure of soil preparation for 
wheat plantation?
25. A teacher intends to facilitate the development of 
metacognition among her students. Which of the 
following skills won’t be helpful for this purpose?
(1) Evaluating (2) Monitoring
(3) Planning (4) Rote-memorisation
26. Constructivist approach considers learning as:
(1) disorganised and unilateral
(2) idiosyncratic and disconnected
(3) interactive and active
(4) passive and dependent
27. Which of the following step is likely to hinder 
problem-solving skills among students?
(1) Activating the schema to comprehend the 
problem
(2) Focusing attention on relevant information 
about problem
(3) Getting stuck on one fixed way of representing a 
problem
(4) Identifying the possible solutions of the problem
28. Contemporary perspectives of cognitive 
development view misconceptions as:
(1) completely insignifcant and an obstacle for 
teaching-learning process.
(2) Higher-order metacognitive skills found typically 
in ‘gifted’ students.
(3) Naive ideas and understanding having their 
roots in ones’ past experiences.
(4) Neurological deficits and identifying 
characteristics of Dyslexia.
  
29. Students with performance-avoidance goals focus 
on
(1) enjoyment of activity (2) fear of failing
(3) hope of success (4) sense of pride
30. Which of the following set of attributions on success 
or failure on a task is likely to cause increase in 
students’ motivation and attempts to engage in 
similar tasks in the future?
(1) External, Non-controllable
(2) External, Stable
(3) Internal, Stable
(4) Internal, Controllable
Mathematics and Science
31. –25 × (7 + 3) is not the same as
(1) (–25) × 7 + (–25) × 3 (2) (–25) × 10
(3) –250 (4) (–25) × 7 × 3
32. In Roman Numerals, which of the number is not 
correct?
(1) LXIII (2) XCII
(3) LC (4) XLIV
33. Which of the following statement is NOT true?
(1) HCF and LCM of two numbers x and y are 15 
and 120 respectively.
(2) HCF and LCM of two numbers x and y are 20 
and 250 respectively.
(3) LCM and HCF of two numbers x and y are 70 
and 14 respectively.
(4) LCM and HCF of two numbers x and y are 300 
and 50 respectively.
34. On dividing 2
1
3
2
5
 by , the result is:
(1) 
5
3
 
(2)
 
35
3
(3)
 
35
7
 
(4)
 
35
6
35. If A, B and C are digits and
    3 A B
   + A B 1
    C 1 8
 then, value of C is:
(1) 6 (2) 7
(3) 8 (4) 9
36. The annual income of Naresh is `5,76,000 and his 
annual savings is `72,000. The ratio of his annual 
savings to his expenditure is:
(1) 1:5 (2) 1:6
(3) 1:7 (4) 1:8
37. If 3x + 5 = 0, then the value of x
2
 – 3x is equal to:
(1)
 
7
7
9
 
(2)
 
7
4
9
(3)
 
-2
2
9
 
(4)
 
-2
1
9
38. The coefficient of x
2
 in the sum of the expressions 
–3x
3
y
2
 + 2x
2
y
3
 and –3x
2
y
3
 – 5y
4
 is:
(1) –3 (2) –y
3
(3) y
3
 (4) 3
39. On dividing (x
3  – 5x
2
 – 24x)(4x
2
 – 9y
2
) by x(x – 8)
(2x – 3y), the result is:
(1) (x + 3)(2x + 3y) (2) (x + 3)(2x – 3y)
(3) (x – 8)(2x + 3y) (4) (x – 8)(2x – 3y)
40. If  P = 3x
2
 + y
2
,
   Q = 2x
2
 + 3y
2
,
 and R = 4x
4
 + 5y
4
 
 then, P × Q – R is equal to
(1) 2x
4
 + 11x
2
y
2
 – 2y
4
 (2) 2x
4
 + 9x
2
y
2
 – 2y
4
(3) 2x
4
 + 13x
2
y
2
 + 2y
4
 (4) 2x
4
 + 10x
2
y
2
 + 2y
4
41. Which of the following figures has a linear symmetry 
but no rotational symmetry?
(1) Parallelogram (2) Kite
(3) Rectangle (4) Rhombus
42. Three angles of a triangle are in the ratio 3 : 5 : 4 and 
the greatest angle is x.
 Then, the value of 4x + 9° is:
(1) 349° (2) 309°
(3) 249° (4) 159°
43. The sum of the supplement and complement of an 
angle x is 240°. Then, the value of 3x – 20° is:
(1) 15° (2) 30°
(3) 25° (4) 50°
44. If F, V and E are respectively the number of faces, 
vertices and edges of a hexagonal pyramid, then 
which of the following statement is true?
(1) 2F + V – E = 8 (2) 2F + V – E = 9
(3) 2F + 2V – E = 15 (4) 3F + 2V – 2E = 10
45. The lengths of the two diagonals of a rectangle 
ABCD are (6x + 3) and (4x + 7).
 Then, the value of (6x + 3) + (4x + 7) is:
(1) 20 (2) 25
(3) 30 (4) 35
46. Sides of a triangle are of lengths 12 cm, 13 cm and 
5 cm. Then, altitude corresponding to the longest 
side of the triangle is:
(1)
 
4
8
13
cm
 
(2)
 
2
4
13
cm
(3)
 
4
5
13
cm
 
(4)
 
2
9
13
cm
47. The perimeter of a trapezium ABCD is 90 cm and 
length of each of its non-parallel sides AD and BC 
is 17 cm. If area of the trapezium is 420 cm
2
, then 
distance between the two parallel sides of the 
trapezium is:
(1) 17 cm (2) 16 cm
(3) 15 cm (4) 14 cm
48. The curved surface area of a right circular cylinder is 
one-third of its total surface area.
 If radius of the cylinder is 8 cm, then volume of the 
cylinder (in cm
3
) is:
(1) 256 p (2) 128 p
(3) 288 p (4) 144 p
49. If mean of the observations 25, 29, 25, 32, 24 and x is 
27 then median of the observations is:
(1) 32 (2) 27
(3) 26 (4) 25
  
50. Numbers 10 to 60 are written on separate slips (one 
number on one slip), they are kept in a box and 
they are mixed well. One slip is chosen from the box 
without looking into it. What is the probability that 
the number on the chosen slip is divisible by both 2 
and 3?
(1)
 
1
5
 
(2)
 
3
17
(3)
 
10
51
 
(4)
 
9
50
51. Which of the following is NOT true for assessment?
(1) Assessment focuses on developing critical 
thinking and problem-solving skills among 
students.
(2) Assessment engages students in learning 
process.
(3) Assessment provides feedback to teacher to 
improve their pedagogy.
(4) Assessment is just a reflection of student’s marks 
in the report card.
52. A mathematics teacher records classroom observa-
tion either during or after the lesson by writing 
short notes in a brief narrative style. It is an example 
of maintaining:
(1) Rubrics (2) Anecdotal records
(3) Checklist (4) Portfolio
53. A middle school mathematics teacher asks his 
students to construct a rectangle with length 7 cm 
and breadth 4 cm. As the students completed the 
task, he further instructs them:
(i) increase the length and breadth by 2 cm each 
and draw to see what figure you get.
(ii) decrease the length and breadth by 2 cm and 
draw to see what figure you get.
(iii) increase the length by 1 cm and decrease the 
breadth by 1 cm. Can you predict the type of 
figure without drawing?
 Which principle of Zoltan Dienes theory of 
mathematics learning is he using in the above 
activity?
(1) Constructivity principle
(2) Perceptual variability principle
(3) Mathematical variability principle
(4) Dynamic principle
54. Ratios are closely related to fractions but both have 
important distinctions. Which of the following is/are 
True with respect to the given statement?
(a) The ratio of boys to girls in a classroom is 3/5. 
This ratio is a fraction.
(b) The ratio of girls to total children in a classroom 
is 3/8. This is both a ratio and a fraction.
(c) Rimjhim walked 3/4 of a kilometre. This is a 
fraction and not a ratio.
Choose the correct option.
(1) Only (b) (2) (a) and (c)
(3) (b) and (c) (4) (a) and (b)
55. A middle school mathematics teacher uses paper 
folding and dissection activities with her students 
for explorations in symmetries and geometric 
shapes. The students are able to observe geometrical 
properties of different shapes, verify properties 
without formal proofs, make connections between 
various shapes. According to Van-Hieles theory 
of development in geometry, the students are 
reasoning at the level of:
(1) Establishing relationship
(2) Recognition
(3) Analysis
(4) Axiomatics
56. Which of the following is an example of a question 
with multiple answers?
(1) Given are the four digits 9, 3, 7, 5. Make the 
largest 4-digit number using all the given digits.
(2) Using four different digits without repetition, 
make the largest 4-digit number.
(3) Using four different digits, make the largest 
4-digit number with a condition that 5 is always 
at ones place.
(4) Make one 4-digit number using both the digits 3 
and 5 equal number of times.
57. Which of the following statement is NOT true for 
the given mathematical concept?
(1) The concept of a rectangle includes both spatial 
and length relationship.
(2) “Chance” is relationship between the frequency 
of an event happening compared with all 
possible outcomes.
(3) The concept of a “negative integer” is based only 
on the “magnitude” of the number.
(4) The concept of multiplication includes the 
concept of area of rectangle.
58. “Examination and class tests add to mathematics 
anxiety in some students”. Which of the following is 
true for mathematics anxiety according to the given 
statement?
(1) Mathematics anxiety can be addressed by 
making assessment an integral part of the daily 
mathematics instruction with the focus on the 
progress of the student.
(2) Students facing mathematics anxiety should 
be asked to take a greater number of tests to 
overcome the anxiety.
(3) Students overcome mathematics anxiety 
by practicing a lot of questions before the 
examination.
(4) Students with mathematics anxiety should be 
exempted from giving examinations.
59. According to National Curriculum Framework, NCF , 
(2005), “Technology can greatly aid the process of 
mathematical exploration.” Which of the following 
statement reflects a reason that restricts this 
exploration?
(1) Use of calculators hampers the acquisition of 
basic computational skills in students.
(2) Use of technology will make the teacher’s role 
irrelevant in the classrooms.
(3) With the use of technology problem-solving 
skills cannot be developed in students.
(4) It is expensive and hence the use of technology 
becomes luxurious in a country where vast 
majority of students cannot afford more than 
one notebook.
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Assertion (A): Children are unable to learn optimally 
when they are undernourished or unwell.
 Reason (R): All domains of development are inter-
related-physical development has an impact on 
cognitive 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.
2. Which principle of development does this illustrate: 
The child learns to stand before she can walk and 
babble before she talks?
(1) Development is sequential
(2) Development proceeds from head to toe
(3) Development is disorderly
(4) Development progresses from centre to the 
extremities.
3. Assertion (A): Children learn the knowledge, skills, 
values and customs of the society only through 
formal agencies.
 Reason (R): Socialization is a simple and linear 
process that takes place in a well-planned manner.
 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.
4. Jean Piaget’s constructivism proposes that 
children progress through four stages of cognitive 
development primarily:
(1) by acting upon the environment.
(2) through social interactions with more 
knowledgeable others.
(3) by imitation of others.
(4) through anticipation of rewards.
5. According to Jean Piaget, at which stage of cognitive 
development can children ‘operate on operations’ 
and perform hypothetico-deductive thinking?
(1) Sensori-motor Stage
(2) Pre-operational Stage
(3) Concrete Operational Stage
(4) Formal Operational Stage
6. ...............  is very important in Lev Vygotsky’s theory 
for cognitive development of children.
(1) Cultural tools (2) Maturation
(3) Punishment (4) Adaptation
7. One of the major differences in the theories of Jean 
Piaget and Lev Vygotsky is:
(1) Piaget emphasized on the role of language in 
cognitive development.
(2) Vygotsky gave primary importance to hereditary 
capacities in learning.
(3) Vygotsky emphasized the role of culture in 
cognitive development.
(4) Piaget gave importance to what the child can 
do on her own as well as what she can do with 
support.
8. Carol Gilligan critiqued Lawrence Kohlberg’s theory 
of moral development by arguing that men have 
morality of ...............  while women have morality of 
............... .
(1) justice; care
(2) care; justice
(3) goodness; sacrifice
(4) sacrifice; goodness
9. Which of the following is a correctly matched pair of 
the type of intelligence and the end state possibilities 
as per the theory of Howard Gardner?
(1) Intelligence-Linguistic, End State Possibility- 
Accountant
(2) Intelligence-Spatial, End State Possibility- 
Architect
(3) Intelligence- Bodily kinesthetic, End State 
Possibility- Singer
(4) Intelligence-Naturalistic, kinesthetic-Teacher
10. National Education Policy 2020 considers 
multilingualism
(1) as a hindrance in children’s learning.
(2) as an asset in the classrooms.
(3) as a unnecessary complication in teaching-
learning process.
(4) as a barrier to inclusive education.
11. In child-centered education, assessment
(1) is undertaken through few periodic examinations.
(2) takes place through written objective type tests.
(3) does not take place at all.
(4) is considered an integral part in the process of 
learning.
12. What does National Education Policy 2020 propose 
for retention of students from socio-economically 
disadvantaged groups?
(1) Rote learning
(2) Standardisation of curriculum and assessment
(3) Performance-oriented testing
(4) Relatable and meaningful curriculum
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
06th January, 2022
  
13. In several middle school classrooms it is observed 
that boys often raise their hands to answer more than 
girls and tend to dominate classroom discussions. In 
such context, the teacher should
(1) accept that boys are more intelligent than girls.
(2) accept that girls do not have the potential to 
study in middle class.
(3) analyze how gender differences are inborn and 
cannot be modified.
(4) analyze the context of the children and her own 
pedagogy.
14. Which of the following defines a progressive 
classrooms?
(1) Learning for exams
(2) Focus on experiential learning
(3) Decontextualized curriculum
(4) Teacher centric pedagogy
15. Which of the following questions tests higher-order 
thinking skills such as analysis and evaluation?
(1) What differences do you find between private 
and public health services in your area and why?
(2) What does the Civil Rights Act of 1964 state?
(3) How many states are there in India?
(4) How are the members of Legislative Assembly 
elected?
16. With respect to inclusion of students with disabilities 
in regular schools, which of the following provision 
is against the Rights of persons with disabilities Act 
(2016)?
(1) Extra time for completion of examination paper
(2) Facility of scribe to meet the students’ needs
(3) Compulsory second and third language courses
(4) Reasonable accommodation as per individual’s 
needs
17. To address the diverse learning needs of the 
students, which of the following is a barrier?
(1) Engagement in the activities in multiple ways
(2) Expression of opinion in multiple ways
(3) Labeling and ranking of students in multiple 
ways
(4) Representation of information in multiple ways
18. Which of the following learning disability directly 
affects communication skills and comprehension 
abilities?
(1) Dyscalculia (2) Dysgraphia
(3) Dysphoria (4) Dysphasia
19. To ensure the successful inclusion of students with 
Dysgraphia, it is important to:
(1) allow use of audio recorder or a laptop in class
(2) extensively use written tests for assessment
(3) make it compulsory to write on plain/unruled 
sheets
(4) set fixed timeline to finish the given work
20. Which of the following is NOT a characteristic of 
student with ‘creativity’?
(1) Their problem-solving skills are of higher order
(2) They can solve problems through divergent 
ways
(3) They have low sense of curiosity to learn new 
topics
(4) They often come up with novel ideas and 
innovations
21. Teachers in a middle grade classroom should:
(1) be open to make adaptations as per learners’ 
needs
(2) focus their attention majorly on high achievers
(3) ignore learner diversity in the classroom
(4) use one standardized mode of assessment only
22. Assertion (A): While teaching a concept, a teacher 
should encourage her students to brainstorm the 
instances and examples of contrast.
 Reason (R): Non-examples don’t play any role in 
understanding of a concept.
 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.
23. Few students in a class were not able to achieve the 
individual learning goals set for them. In such a 
scenario, a teacher should:
(1) consider their failure as dishonourable and 
shameful.
(2) expel these students and recommend them to a 
special school.
(3) keep very low expectations of success from them 
in future endeavours.
(4) view failure as a part of the developmental 
process of learning.
24. A teacher intends to assess declarative knowledge 
among her students. Which of the following 
question is appropriate for this purpose?
(1) How to bake a cake?
(2) How to balance a bicycle on a rough terrain?
(3) What is the formula for calculating ‘volume’?
(4) What is the procedure of soil preparation for 
wheat plantation?
25. A teacher intends to facilitate the development of 
metacognition among her students. Which of the 
following skills won’t be helpful for this purpose?
(1) Evaluating (2) Monitoring
(3) Planning (4) Rote-memorisation
26. Constructivist approach considers learning as:
(1) disorganised and unilateral
(2) idiosyncratic and disconnected
(3) interactive and active
(4) passive and dependent
27. Which of the following step is likely to hinder 
problem-solving skills among students?
(1) Activating the schema to comprehend the 
problem
(2) Focusing attention on relevant information 
about problem
(3) Getting stuck on one fixed way of representing a 
problem
(4) Identifying the possible solutions of the problem
28. Contemporary perspectives of cognitive 
development view misconceptions as:
(1) completely insignifcant and an obstacle for 
teaching-learning process.
(2) Higher-order metacognitive skills found typically 
in ‘gifted’ students.
(3) Naive ideas and understanding having their 
roots in ones’ past experiences.
(4) Neurological deficits and identifying 
characteristics of Dyslexia.
  
29. Students with performance-avoidance goals focus 
on
(1) enjoyment of activity (2) fear of failing
(3) hope of success (4) sense of pride
30. Which of the following set of attributions on success 
or failure on a task is likely to cause increase in 
students’ motivation and attempts to engage in 
similar tasks in the future?
(1) External, Non-controllable
(2) External, Stable
(3) Internal, Stable
(4) Internal, Controllable
Mathematics and Science
31. –25 × (7 + 3) is not the same as
(1) (–25) × 7 + (–25) × 3 (2) (–25) × 10
(3) –250 (4) (–25) × 7 × 3
32. In Roman Numerals, which of the number is not 
correct?
(1) LXIII (2) XCII
(3) LC (4) XLIV
33. Which of the following statement is NOT true?
(1) HCF and LCM of two numbers x and y are 15 
and 120 respectively.
(2) HCF and LCM of two numbers x and y are 20 
and 250 respectively.
(3) LCM and HCF of two numbers x and y are 70 
and 14 respectively.
(4) LCM and HCF of two numbers x and y are 300 
and 50 respectively.
34. On dividing 2
1
3
2
5
 by , the result is:
(1) 
5
3
 
(2)
 
35
3
(3)
 
35
7
 
(4)
 
35
6
35. If A, B and C are digits and
    3 A B
   + A B 1
    C 1 8
 then, value of C is:
(1) 6 (2) 7
(3) 8 (4) 9
36. The annual income of Naresh is `5,76,000 and his 
annual savings is `72,000. The ratio of his annual 
savings to his expenditure is:
(1) 1:5 (2) 1:6
(3) 1:7 (4) 1:8
37. If 3x + 5 = 0, then the value of x
2
 – 3x is equal to:
(1)
 
7
7
9
 
(2)
 
7
4
9
(3)
 
-2
2
9
 
(4)
 
-2
1
9
38. The coefficient of x
2
 in the sum of the expressions 
–3x
3
y
2
 + 2x
2
y
3
 and –3x
2
y
3
 – 5y
4
 is:
(1) –3 (2) –y
3
(3) y
3
 (4) 3
39. On dividing (x
3  – 5x
2
 – 24x)(4x
2
 – 9y
2
) by x(x – 8)
(2x – 3y), the result is:
(1) (x + 3)(2x + 3y) (2) (x + 3)(2x – 3y)
(3) (x – 8)(2x + 3y) (4) (x – 8)(2x – 3y)
40. If  P = 3x
2
 + y
2
,
   Q = 2x
2
 + 3y
2
,
 and R = 4x
4
 + 5y
4
 
 then, P × Q – R is equal to
(1) 2x
4
 + 11x
2
y
2
 – 2y
4
 (2) 2x
4
 + 9x
2
y
2
 – 2y
4
(3) 2x
4
 + 13x
2
y
2
 + 2y
4
 (4) 2x
4
 + 10x
2
y
2
 + 2y
4
41. Which of the following figures has a linear symmetry 
but no rotational symmetry?
(1) Parallelogram (2) Kite
(3) Rectangle (4) Rhombus
42. Three angles of a triangle are in the ratio 3 : 5 : 4 and 
the greatest angle is x.
 Then, the value of 4x + 9° is:
(1) 349° (2) 309°
(3) 249° (4) 159°
43. The sum of the supplement and complement of an 
angle x is 240°. Then, the value of 3x – 20° is:
(1) 15° (2) 30°
(3) 25° (4) 50°
44. If F, V and E are respectively the number of faces, 
vertices and edges of a hexagonal pyramid, then 
which of the following statement is true?
(1) 2F + V – E = 8 (2) 2F + V – E = 9
(3) 2F + 2V – E = 15 (4) 3F + 2V – 2E = 10
45. The lengths of the two diagonals of a rectangle 
ABCD are (6x + 3) and (4x + 7).
 Then, the value of (6x + 3) + (4x + 7) is:
(1) 20 (2) 25
(3) 30 (4) 35
46. Sides of a triangle are of lengths 12 cm, 13 cm and 
5 cm. Then, altitude corresponding to the longest 
side of the triangle is:
(1)
 
4
8
13
cm
 
(2)
 
2
4
13
cm
(3)
 
4
5
13
cm
 
(4)
 
2
9
13
cm
47. The perimeter of a trapezium ABCD is 90 cm and 
length of each of its non-parallel sides AD and BC 
is 17 cm. If area of the trapezium is 420 cm
2
, then 
distance between the two parallel sides of the 
trapezium is:
(1) 17 cm (2) 16 cm
(3) 15 cm (4) 14 cm
48. The curved surface area of a right circular cylinder is 
one-third of its total surface area.
 If radius of the cylinder is 8 cm, then volume of the 
cylinder (in cm
3
) is:
(1) 256 p (2) 128 p
(3) 288 p (4) 144 p
49. If mean of the observations 25, 29, 25, 32, 24 and x is 
27 then median of the observations is:
(1) 32 (2) 27
(3) 26 (4) 25
  
50. Numbers 10 to 60 are written on separate slips (one 
number on one slip), they are kept in a box and 
they are mixed well. One slip is chosen from the box 
without looking into it. What is the probability that 
the number on the chosen slip is divisible by both 2 
and 3?
(1)
 
1
5
 
(2)
 
3
17
(3)
 
10
51
 
(4)
 
9
50
51. Which of the following is NOT true for assessment?
(1) Assessment focuses on developing critical 
thinking and problem-solving skills among 
students.
(2) Assessment engages students in learning 
process.
(3) Assessment provides feedback to teacher to 
improve their pedagogy.
(4) Assessment is just a reflection of student’s marks 
in the report card.
52. A mathematics teacher records classroom observa-
tion either during or after the lesson by writing 
short notes in a brief narrative style. It is an example 
of maintaining:
(1) Rubrics (2) Anecdotal records
(3) Checklist (4) Portfolio
53. A middle school mathematics teacher asks his 
students to construct a rectangle with length 7 cm 
and breadth 4 cm. As the students completed the 
task, he further instructs them:
(i) increase the length and breadth by 2 cm each 
and draw to see what figure you get.
(ii) decrease the length and breadth by 2 cm and 
draw to see what figure you get.
(iii) increase the length by 1 cm and decrease the 
breadth by 1 cm. Can you predict the type of 
figure without drawing?
 Which principle of Zoltan Dienes theory of 
mathematics learning is he using in the above 
activity?
(1) Constructivity principle
(2) Perceptual variability principle
(3) Mathematical variability principle
(4) Dynamic principle
54. Ratios are closely related to fractions but both have 
important distinctions. Which of the following is/are 
True with respect to the given statement?
(a) The ratio of boys to girls in a classroom is 3/5. 
This ratio is a fraction.
(b) The ratio of girls to total children in a classroom 
is 3/8. This is both a ratio and a fraction.
(c) Rimjhim walked 3/4 of a kilometre. This is a 
fraction and not a ratio.
Choose the correct option.
(1) Only (b) (2) (a) and (c)
(3) (b) and (c) (4) (a) and (b)
55. A middle school mathematics teacher uses paper 
folding and dissection activities with her students 
for explorations in symmetries and geometric 
shapes. The students are able to observe geometrical 
properties of different shapes, verify properties 
without formal proofs, make connections between 
various shapes. According to Van-Hieles theory 
of development in geometry, the students are 
reasoning at the level of:
(1) Establishing relationship
(2) Recognition
(3) Analysis
(4) Axiomatics
56. Which of the following is an example of a question 
with multiple answers?
(1) Given are the four digits 9, 3, 7, 5. Make the 
largest 4-digit number using all the given digits.
(2) Using four different digits without repetition, 
make the largest 4-digit number.
(3) Using four different digits, make the largest 
4-digit number with a condition that 5 is always 
at ones place.
(4) Make one 4-digit number using both the digits 3 
and 5 equal number of times.
57. Which of the following statement is NOT true for 
the given mathematical concept?
(1) The concept of a rectangle includes both spatial 
and length relationship.
(2) “Chance” is relationship between the frequency 
of an event happening compared with all 
possible outcomes.
(3) The concept of a “negative integer” is based only 
on the “magnitude” of the number.
(4) The concept of multiplication includes the 
concept of area of rectangle.
58. “Examination and class tests add to mathematics 
anxiety in some students”. Which of the following is 
true for mathematics anxiety according to the given 
statement?
(1) Mathematics anxiety can be addressed by 
making assessment an integral part of the daily 
mathematics instruction with the focus on the 
progress of the student.
(2) Students facing mathematics anxiety should 
be asked to take a greater number of tests to 
overcome the anxiety.
(3) Students overcome mathematics anxiety 
by practicing a lot of questions before the 
examination.
(4) Students with mathematics anxiety should be 
exempted from giving examinations.
59. According to National Curriculum Framework, NCF , 
(2005), “Technology can greatly aid the process of 
mathematical exploration.” Which of the following 
statement reflects a reason that restricts this 
exploration?
(1) Use of calculators hampers the acquisition of 
basic computational skills in students.
(2) Use of technology will make the teacher’s role 
irrelevant in the classrooms.
(3) With the use of technology problem-solving 
skills cannot be developed in students.
(4) It is expensive and hence the use of technology 
becomes luxurious in a country where vast 
majority of students cannot afford more than 
one notebook.
  
60. “Algebraic thinking involves generalisation and 
symbolisation”. Which one of the following explains 
the meaning of the given statement?
(a) Algebraic equations are solved by using 
mathematical symbols. Hence these symbols 
should be memorized
(b) Algebra involves the process of creating 
generalizations from arithmetic
(c) Algebra involves representing patterns and 
regularities in our world.
(d) Algebra is more abstract and symbolic. Hence 
cannot be taught through concrete experiences.
(1) (a) and (d) (2) (b) and (d)
(3) (a) and (c) (4) (b) and (c)
61. Read the following statement and choose correct 
response.
Assertion (A): A horse shoe magnet is a very strong 
magnet.
Reason (R): The poles of horse shoe magnet are 
very close to each other.
(1) Both A and R are correct but R is not correct 
explanation for A.
(2) Both A and R are correct but R is correct 
explanation for A.
(3) A is correct but R is incorrect.
(4) Both A and R are incorrect.
62. The purpose of streamlining the body of a ship is to:
(1) reduce fluid drag
(2) increase up thrust
(3) increase displaced water
(4) reduce density of ship
63. The following steps are involved in a dairy plant to 
prepare clarified butter/Ghee.
A. Milk is pasteurised
B. Then milk is set into curd
C. Curd is churned in centrifuged to separate butter
D. Butter is heated to get clarified butter (Ghee)
E. Filtered and packed
 Which of the following above steps are physical 
changes and chemical changes?
(1) Physical changes – A, C, D, E
 Chemical changes – B
(2) Physical changes – C, D, E
 Chemical changes – A, B
(3) Physical changes – C, E
 Chemical changes – A, B, D
(4) Physical changes – A, C, E
 Chemical changes – B, D
64. Identify the polymers on the basis of uses mentioned 
below:
Polymer Uses
A used as padding in the packaging 
material for delicate items.
B used as an outer insulation layer for 
electrical wires.
C used in making electrical fittings.
D used in making bottles and jars.
(1) A–Polystyrene; B–PVC; C–Bakelite; D–Polyester
(2) A–Polyester; B–Bakelite; C–Fermica; D–Polyester
(3) A–Polythene; B–Melamine; C–Bakelite; D–PVC
(4) A–Polystyrene; B–PVC; C–Bakelite; D–Melamine
65. Radhika connects a series arrangement of two 
identical cells with a series arrangement of two 
bulbs. Which should be done to make the bulb(s) 
grow dimmer?
(1) replace one cell with the piece of chalk
(2) replace one cell with a piece of metal wire
(3) replace one bulb with a piece of metal wire
(4) replace one bulb with a cell
66. A is used in making bread and other bakery 
products and the process involved is called as B. 
‘A’ breaks down sugar into alcohol and C in the 
absence of Oxygen. This process is called as D. The 
‘C’ forms bubble in dough increasing its E. A, B, C, 
D, E respectively are:
(1) Lactobacillus, decomposition, hydrogen, fermen-
tation, mass
(2) Lactobacillus, fermentation, hydrogen, aerobic 
respiration, volume
(3) Yeast, fermentation, carbon dioxide, anaerobic 
respiration, volume
(4) Yeast, fermentation, carbon dioxide, aerobic 
respiration, mass
67. The phases of the moon as we see from the Earth are 
due to changing relative positions of the Sun, the 
Moon, the Earth. Which of the following statements 
is true:
(A) on a full moon day, the Earth comes between the 
Sun and the Moon
(B) on a new moon day, the Moon is in between the 
Earth and the Sun
(C) on a full moon day, the Moon is in between the 
Earth and the Sun
(D) on a new moon day, the Earth is between the 
Sun and the Moon
(E) on an new moon day, the Sun is between the 
Moon and the Earth
(1) A, B (2) B, C
(3) C, D (4) A, E
68. Which of the following represents correct matching 
set of part of human eye and its function?
a. Cornea (i) Controls the amount of light 
entering eye
b. Iris (ii) Acts as screen for the image
c. Pupil (iii) Holds the lens in positions
d. Retina (iv) Helps in focusing light and 
protect eye
e. Ciliary 
Muscle
(iv) Light enters eye through it
(1) a–(v), b–(iv), c–(i), d–(ii), e(iii)
(2) a–(iv), b–(i), c–(v), d–(ii), e(iii)
(3) a–(ii), b–(iii), c–(v), d–(i), e(iv)
(4) a–(iii), b–(iv), c–(v), d–(ii), e(i)
69. Read the following statements and choose the 
correct option:
Assertion (A): The leaves of carrot plant has 
reticulate venation.
Statement 1 (S1): Plants having taproots have leaves 
with reticulate venation.
Statement 2 (S2): Plants having fibrous roots have 
leaves with reticulate venation.