CTET Solved Question Paper - 2 (31 Dec - 2021) | CTET (Central Teacher Eligibility Test) Mock Test Series 2024 - CTET & State TET PDF Download

 Page 1


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The development period in which internalised 
norms are questioned and the opinions of the peer 
group usually become more important than family 
is called ............... .
(1) Infancy (2) Early Childhood
(3) Middle childhood (4) Adolescence
2. Seeing that their son Ravi was interested in reading 
and could read at the age of 3, his parents got him 
a lot of books. Due to his parents’ encouragement 
Ravi’s reading was highly advanced as per his age.
 Which principle of development can be inferred 
from the above example?
(1) Development does not follow a predictable path.
(2) Development is proximodistal.
(3) Development is cephalocaudal
(4) Development is a result of interaction between 
heredity and environment.
3. Which period of development comprises each 
of the following characteristics: establishment of 
independence, development of identity and abstract 
thinking?
(1) Middle childhood. (2) Late childhood.
(3) Adolescence (4) Early Adulthood
4. Which of the following statements about socialization 
is correct?
(1) There is a uniform way of socialization across 
cultures.
(2) Socialization is a complex process in which 
several agencies influence children during 
various times in their life-span.
(3) Media and family are secondary agencies of 
socialization.
(4) Secondary socialization occurs first when the 
children learn their individual identity and 
acquire language.
5. Which of the following theorist used ‘coqneline 
developmental’ approach to explain the moral 
reasoning among children ?
(1) Howard Gardner (2) Jean Piaget
(3) Joan Turiel (4) Michael Oser
6. “Children activity construct their understanding of 
the world” is proposed by
(1) E. L. Thorndike (2) B. F . Skinner
(3) Jean Piaget (4) Ivan Pavlov
7. In context of teaching - learning, which of the 
following strategy is discouraged by Lev Vygotsky?
(1) Co-operative Learning
(2) Scaffolding
(3) Assisted Learning
(4) Expository teaching
8. While arranging the pieces of a puzzle Meethi speaks 
aloud to direct her own actions. Lev Vygotsky refers 
to the use of such language forself regulation as:
(1) Egocentric Speech (2) Private Speech
(3) Social Speech (4) Irrational Speech
9. According to Lawrence Kohlberg’s theory of moral 
development, at which stage of moral development 
do individuals define right action by self-chosen 
ethical principles of conscience that are valid for all 
humanity, regardless of law and social agreement?
(1) The social contract orientation.
(2) The Universal ethical principal Orientation.
(3) The social order maintaining orientation.
(4) The instrumental purpose orientation.
10. In a progressive classroom, a teacher facilitates the 
children to work in groups to achieve a common 
learning task. This will promote ............... among 
students.
(1) competition (2) cooperative learning
(3) rivalry (4) frustration
11. Which of the following intelligence types are 
included in Howard Gardner’s theory of multiple 
intelligences?
(1) Analytical, Linguistic, Spatial
(2) Creative, Analytical, Practical
(3) Linguistic, Logico-mathematical, Musical
(4) Fluid, Crystalized, General
12. For breaking gender stereotypes in children, which 
among the following should be avoided?
(1) Joint endeavours with children of other genders.
(2) Exposure to adults engaged in no stereotypical 
activities.
(3) making generic utterances such as ‘Girls are 
good in art’ and ‘boys excel in maths’
(4) Critical discussions around ‘inborn abilities’ 
and ‘societal perception of abilities’ of various 
genders.
13. Assertion (A): A teacher should not cater to 
individual differences in the class.
 Reason (R): The purpose of progressive education 
is to ensure that all children are instructed in a 
uniform manner and assessed by standard methods.
 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
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
3 1st December, 2021
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The development period in which internalised 
norms are questioned and the opinions of the peer 
group usually become more important than family 
is called ............... .
(1) Infancy (2) Early Childhood
(3) Middle childhood (4) Adolescence
2. Seeing that their son Ravi was interested in reading 
and could read at the age of 3, his parents got him 
a lot of books. Due to his parents’ encouragement 
Ravi’s reading was highly advanced as per his age.
 Which principle of development can be inferred 
from the above example?
(1) Development does not follow a predictable path.
(2) Development is proximodistal.
(3) Development is cephalocaudal
(4) Development is a result of interaction between 
heredity and environment.
3. Which period of development comprises each 
of the following characteristics: establishment of 
independence, development of identity and abstract 
thinking?
(1) Middle childhood. (2) Late childhood.
(3) Adolescence (4) Early Adulthood
4. Which of the following statements about socialization 
is correct?
(1) There is a uniform way of socialization across 
cultures.
(2) Socialization is a complex process in which 
several agencies influence children during 
various times in their life-span.
(3) Media and family are secondary agencies of 
socialization.
(4) Secondary socialization occurs first when the 
children learn their individual identity and 
acquire language.
5. Which of the following theorist used ‘coqneline 
developmental’ approach to explain the moral 
reasoning among children ?
(1) Howard Gardner (2) Jean Piaget
(3) Joan Turiel (4) Michael Oser
6. “Children activity construct their understanding of 
the world” is proposed by
(1) E. L. Thorndike (2) B. F . Skinner
(3) Jean Piaget (4) Ivan Pavlov
7. In context of teaching - learning, which of the 
following strategy is discouraged by Lev Vygotsky?
(1) Co-operative Learning
(2) Scaffolding
(3) Assisted Learning
(4) Expository teaching
8. While arranging the pieces of a puzzle Meethi speaks 
aloud to direct her own actions. Lev Vygotsky refers 
to the use of such language forself regulation as:
(1) Egocentric Speech (2) Private Speech
(3) Social Speech (4) Irrational Speech
9. According to Lawrence Kohlberg’s theory of moral 
development, at which stage of moral development 
do individuals define right action by self-chosen 
ethical principles of conscience that are valid for all 
humanity, regardless of law and social agreement?
(1) The social contract orientation.
(2) The Universal ethical principal Orientation.
(3) The social order maintaining orientation.
(4) The instrumental purpose orientation.
10. In a progressive classroom, a teacher facilitates the 
children to work in groups to achieve a common 
learning task. This will promote ............... among 
students.
(1) competition (2) cooperative learning
(3) rivalry (4) frustration
11. Which of the following intelligence types are 
included in Howard Gardner’s theory of multiple 
intelligences?
(1) Analytical, Linguistic, Spatial
(2) Creative, Analytical, Practical
(3) Linguistic, Logico-mathematical, Musical
(4) Fluid, Crystalized, General
12. For breaking gender stereotypes in children, which 
among the following should be avoided?
(1) Joint endeavours with children of other genders.
(2) Exposure to adults engaged in no stereotypical 
activities.
(3) making generic utterances such as ‘Girls are 
good in art’ and ‘boys excel in maths’
(4) Critical discussions around ‘inborn abilities’ 
and ‘societal perception of abilities’ of various 
genders.
13. Assertion (A): A teacher should not cater to 
individual differences in the class.
 Reason (R): The purpose of progressive education 
is to ensure that all children are instructed in a 
uniform manner and assessed by standard methods.
 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
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
3 1st December, 2021
  
14. In the context of assessment, what kind of report 
card for students has been proposed in National 
Education Policy (NEP) 2020?
(1) Report cards specifying relative performance of 
the student in comparison to others
(2) Report cards of students performance in paper 
and pencil tests through the year.
(3) 360 degree multi-dimensional report card
(4) summative uni-dimensional report cards
15. Which of the following questions would assess 
critical thinking?
(1) What is the formula for (a + b)
2
?
(2) Write chemical formula of methane.
(3) What could be the various reasons for shortage 
of food?
(4) What is the depositional feature of a glacier 
called?
16. In a language class, which of the following strategy 
should be avoided for successful conclusion of 
students with dyslexia?
(1) Setting strict time lines for submission of hand-
written work.
(2) Allow voice - recorders instead of note - taking 
in class.
(3) Allow typed and printed assignment instead of 
handwritten.
(4) Provide opportunities for reading and writing at 
individual pace.
17. A Learning difficulty marked by low span of 
attention, impulsiveness and a low tolerance for 
frustration, is referred as:
(1) Attention Deficit Hyperactivity Disorder
(2) Autism
(3) Visual Impairment
(4) Dyscalculia
18. A condition characterized by significant limitations 
both in reasoning, learning, problem solving and in 
adaptive behaviour including social and practical 
skills will be known as ............... .
(1) Hearing impairment
(2) Visual impairment
(3) Loco motor disability
(4) Intellectual disability
19. Assertion (A): Inclusion means, students experiencing 
difficulties learn in isolated sections in a regular 
school
 Reason (R): Such a practice prepares students 
experiencing learning difficulties for participation in 
society
 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.
20. Which of the following is NOT an important factor 
of creativity?
(1) Originality (2) Convergent Thinking
(3) Fluency (4) Flexibility
21. In a socio-constructivist classroom, what all would 
be a source of knowledge?
(i) Newspapers (ii) Peers
(iii) T extbooks (iv) Folktales
 Choose the correct option.
(1) (ii), (iii) (2) (i), (ii), (iii)
(3) (i), (iii), (iv) (4) (i), (ii), (iii), (iv)
22. What does ‘active engagement’ of learners involve?
(i) Enquiry and questioning.
(ii) Reproduction and recall.
(iii) Application and reflection.
(iv) Debate and discussion.
 Choose the correct option.
(1) (i), (ii), (iv) (2) (i), (iii), (ii)
(3) (i), (iii), (iv) (4) (ii), (iii), (iv)
23. Allowing learners maximum freedom within a 
resource rich environment and facilitating them 
to construct knowledge for themselves, indicate 
towards which approach?
(1) Discovery Learning
(2) Text-book centred learning
(3) Expository teaching
(4) Behaviouristic teaching
24. Alternative conceptions among children:
(1) are unusual to get formed
(2) are purely illogical and erroneous
(3) represents their intuitive theories
(4) should not be attended by the teacher
25. Assertion (A) : Adolescents should be provided lot 
of opportunities for discussion and debate in the 
classroom.
 Reason (R) : Collaborative learning provides room 
for negotiation of meaning and sharing of multiple 
views.
 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.
26. To encourage conceptual change among students, a 
teacher should:
(1) give long passages to rote memorize.
(2) present content which is moderately challenging 
and requires modification of schemas.
(3) present information in disconnected chunks.
(4) give tasks which are way higher than children’s 
current cognitive level.
27. ............... belief of ability implies that efforts are 
meaningful in achieving success.
(1) Competitive (2) Entity
(3) Incremental (4) Avoidance-based
28. A constructive classroom would include tasks that 
are:
(i) moderately difficult.
(ii) based on recalling the text.
(iii) repetitive and mechanical.
(iv) group work.
 Choose the correct option:
(1) (ii), (iii) (2) (i), (ii)
(3) (i), (iv) (4) (i), (ii), (iii)
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The development period in which internalised 
norms are questioned and the opinions of the peer 
group usually become more important than family 
is called ............... .
(1) Infancy (2) Early Childhood
(3) Middle childhood (4) Adolescence
2. Seeing that their son Ravi was interested in reading 
and could read at the age of 3, his parents got him 
a lot of books. Due to his parents’ encouragement 
Ravi’s reading was highly advanced as per his age.
 Which principle of development can be inferred 
from the above example?
(1) Development does not follow a predictable path.
(2) Development is proximodistal.
(3) Development is cephalocaudal
(4) Development is a result of interaction between 
heredity and environment.
3. Which period of development comprises each 
of the following characteristics: establishment of 
independence, development of identity and abstract 
thinking?
(1) Middle childhood. (2) Late childhood.
(3) Adolescence (4) Early Adulthood
4. Which of the following statements about socialization 
is correct?
(1) There is a uniform way of socialization across 
cultures.
(2) Socialization is a complex process in which 
several agencies influence children during 
various times in their life-span.
(3) Media and family are secondary agencies of 
socialization.
(4) Secondary socialization occurs first when the 
children learn their individual identity and 
acquire language.
5. Which of the following theorist used ‘coqneline 
developmental’ approach to explain the moral 
reasoning among children ?
(1) Howard Gardner (2) Jean Piaget
(3) Joan Turiel (4) Michael Oser
6. “Children activity construct their understanding of 
the world” is proposed by
(1) E. L. Thorndike (2) B. F . Skinner
(3) Jean Piaget (4) Ivan Pavlov
7. In context of teaching - learning, which of the 
following strategy is discouraged by Lev Vygotsky?
(1) Co-operative Learning
(2) Scaffolding
(3) Assisted Learning
(4) Expository teaching
8. While arranging the pieces of a puzzle Meethi speaks 
aloud to direct her own actions. Lev Vygotsky refers 
to the use of such language forself regulation as:
(1) Egocentric Speech (2) Private Speech
(3) Social Speech (4) Irrational Speech
9. According to Lawrence Kohlberg’s theory of moral 
development, at which stage of moral development 
do individuals define right action by self-chosen 
ethical principles of conscience that are valid for all 
humanity, regardless of law and social agreement?
(1) The social contract orientation.
(2) The Universal ethical principal Orientation.
(3) The social order maintaining orientation.
(4) The instrumental purpose orientation.
10. In a progressive classroom, a teacher facilitates the 
children to work in groups to achieve a common 
learning task. This will promote ............... among 
students.
(1) competition (2) cooperative learning
(3) rivalry (4) frustration
11. Which of the following intelligence types are 
included in Howard Gardner’s theory of multiple 
intelligences?
(1) Analytical, Linguistic, Spatial
(2) Creative, Analytical, Practical
(3) Linguistic, Logico-mathematical, Musical
(4) Fluid, Crystalized, General
12. For breaking gender stereotypes in children, which 
among the following should be avoided?
(1) Joint endeavours with children of other genders.
(2) Exposure to adults engaged in no stereotypical 
activities.
(3) making generic utterances such as ‘Girls are 
good in art’ and ‘boys excel in maths’
(4) Critical discussions around ‘inborn abilities’ 
and ‘societal perception of abilities’ of various 
genders.
13. Assertion (A): A teacher should not cater to 
individual differences in the class.
 Reason (R): The purpose of progressive education 
is to ensure that all children are instructed in a 
uniform manner and assessed by standard methods.
 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
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
3 1st December, 2021
  
14. In the context of assessment, what kind of report 
card for students has been proposed in National 
Education Policy (NEP) 2020?
(1) Report cards specifying relative performance of 
the student in comparison to others
(2) Report cards of students performance in paper 
and pencil tests through the year.
(3) 360 degree multi-dimensional report card
(4) summative uni-dimensional report cards
15. Which of the following questions would assess 
critical thinking?
(1) What is the formula for (a + b)
2
?
(2) Write chemical formula of methane.
(3) What could be the various reasons for shortage 
of food?
(4) What is the depositional feature of a glacier 
called?
16. In a language class, which of the following strategy 
should be avoided for successful conclusion of 
students with dyslexia?
(1) Setting strict time lines for submission of hand-
written work.
(2) Allow voice - recorders instead of note - taking 
in class.
(3) Allow typed and printed assignment instead of 
handwritten.
(4) Provide opportunities for reading and writing at 
individual pace.
17. A Learning difficulty marked by low span of 
attention, impulsiveness and a low tolerance for 
frustration, is referred as:
(1) Attention Deficit Hyperactivity Disorder
(2) Autism
(3) Visual Impairment
(4) Dyscalculia
18. A condition characterized by significant limitations 
both in reasoning, learning, problem solving and in 
adaptive behaviour including social and practical 
skills will be known as ............... .
(1) Hearing impairment
(2) Visual impairment
(3) Loco motor disability
(4) Intellectual disability
19. Assertion (A): Inclusion means, students experiencing 
difficulties learn in isolated sections in a regular 
school
 Reason (R): Such a practice prepares students 
experiencing learning difficulties for participation in 
society
 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.
20. Which of the following is NOT an important factor 
of creativity?
(1) Originality (2) Convergent Thinking
(3) Fluency (4) Flexibility
21. In a socio-constructivist classroom, what all would 
be a source of knowledge?
(i) Newspapers (ii) Peers
(iii) T extbooks (iv) Folktales
 Choose the correct option.
(1) (ii), (iii) (2) (i), (ii), (iii)
(3) (i), (iii), (iv) (4) (i), (ii), (iii), (iv)
22. What does ‘active engagement’ of learners involve?
(i) Enquiry and questioning.
(ii) Reproduction and recall.
(iii) Application and reflection.
(iv) Debate and discussion.
 Choose the correct option.
(1) (i), (ii), (iv) (2) (i), (iii), (ii)
(3) (i), (iii), (iv) (4) (ii), (iii), (iv)
23. Allowing learners maximum freedom within a 
resource rich environment and facilitating them 
to construct knowledge for themselves, indicate 
towards which approach?
(1) Discovery Learning
(2) Text-book centred learning
(3) Expository teaching
(4) Behaviouristic teaching
24. Alternative conceptions among children:
(1) are unusual to get formed
(2) are purely illogical and erroneous
(3) represents their intuitive theories
(4) should not be attended by the teacher
25. Assertion (A) : Adolescents should be provided lot 
of opportunities for discussion and debate in the 
classroom.
 Reason (R) : Collaborative learning provides room 
for negotiation of meaning and sharing of multiple 
views.
 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.
26. To encourage conceptual change among students, a 
teacher should:
(1) give long passages to rote memorize.
(2) present content which is moderately challenging 
and requires modification of schemas.
(3) present information in disconnected chunks.
(4) give tasks which are way higher than children’s 
current cognitive level.
27. ............... belief of ability implies that efforts are 
meaningful in achieving success.
(1) Competitive (2) Entity
(3) Incremental (4) Avoidance-based
28. A constructive classroom would include tasks that 
are:
(i) moderately difficult.
(ii) based on recalling the text.
(iii) repetitive and mechanical.
(iv) group work.
 Choose the correct option:
(1) (ii), (iii) (2) (i), (ii)
(3) (i), (iv) (4) (i), (ii), (iii)
  
29. A student is likely to experience ............... when 
attribution for success is considered internal and 
............... when attribution for failure is considered 
external.
(1) Anxiety, Relief (2) Shame, Gratitude
(3) Pride, Anger (4) Gratitude , Joy
30. While teaching a new concept in middle grades, a 
teacher should :
(1) ensure that the concept is absolutely alien to 
students.
(2) relate what students already know with the new 
concept.
(3) give ready-made notes to students and ask them 
to memorise.
(4) ensure that students do not share their socio-
cultural knowledge in the discussion about 
concept.
Mathematics and Science
31. The least number which must be subtracted from 
893304 to obtain a perfect square is:
(1) 279 (2) 479
(3) 1042 (4) 2168
32. Which of the following statements are true?
(i) Sum of two prime numbers is always a prime 
number.
(ii) A composite number can be odd.
(iii) ‘2’ is the only even prime number.
(iv) ‘1’ is the smallest prime number.
(1) (i) and (iii) (2) (ii) and (iii)
(3) (ii) and (iv) (4) (iii) and (iv)
33. There are 18 and 24 students in two sections of a 
class. The number of groups of largest equal size 
in which these students can be divided for their 
practical work is:
(1) 3 (2) 4
(3) 6 (4) 7
34. What is the value of 
1
3
1
4
21
2























 
?
(1) 25 (2) 
1
25
(3) 144 (4) 
1
144
35. If the sum of 1.5 × 10
6
 and 3.4 × 10
7
 is expressed in 
standard form as p × 10
n
, then value of (2p + n) is:
(1) 7.1 (2) 10.55
(3) 13.1 (4) 14.1
36. The ratio of exterior angle and interior angle of a 
regular polygon is 1 : 4. The number of sides of the 
polygon is:
(1) 6 (2) 8
(3) 9 (4) 10
37. Assertion (A): An octagon has 8 lines of symmetry.
 Reason (R): The number of lines of symmetry of a 
regular polygon is equal to the number of its sides.
 Which of the following is correct?
(1) (A) is true, but (R) is false
(2) (A) is false, but (R) is true
(3) Both (A) and (R) are true
(4) Both (A) and (R) are false
38. Consider the following statements:
(i) All rectangles are squares
(ii) All rhombuses are parallelograms
(iii) All squares are not parallelograms
(iv) All squares are trapeziums.
 Which of the above statements are correct?
(1) Only (i) and (ii) (2) Only (ii) and (iii)
(3) Only (iii) and (iv) (4) Only (ii) and (iv)
39. Natural numbers 1 to 25 are written on different 
slips (one number on one slip), kept in a box and 
mixed well. Raj picks up on one slip from the box 
without looking into it. What is the probability that 
this slip bears a composite number?
(1)
 
16
25
 
(2)
 
3
5
(3)
 
13
25
 
(4)
 
14
25
40. The mean of the mean, median, mode and range of 
the data 2, 1, 3, 2, 4, 9, 8, 4, 13, 4 is:
(1) 6.25 (2) 5.25
(3) 7.25 (4) 5.75
41. When recast, the length of a cylindrical iron rod is 
made 16 times of its original length. The radius of 
the new rod will become:
(1) 4 times of the original rod
(2)
 
1
4
 
times of the original rod
(3) 16 times of the original rod
(4) 
1
16
 times of the original rod
42. A square and a semi-circle with a closed base are 
formed using pieces of wire of length 144 cm each. 
The ratio of the area of the square to that of the 
semi-circle is:
 
Take 






22
7
(1) p : 4 (2) 4 : p
(3) 81 : 77 (4) 77 : 81
43. The area of a trapezium is 512 cm
2
. The length of its 
non-parallel sides are 17 cm and 23 cm and distance 
between the parallel sides is 16 cm. The perimeter of 
the trapezium is:
(1) 108 cm (2) 104 cm
(3) 112 cm (4) 116 cm
44. If the weight of 12 sheets of thick paper is 40 grams, 
then how many sheets of the same paper would 
weigh 3
1
2
 kilograms?
(1) 750 (2) 1050
(3) 1350 (4) 950
45. Factors of (25x
2
 – 4y
2
 + 28yz – 49z
2
) are
(1) (5x + 2y – 7z)(5x – 2y – 7z)
(2) (5x + 2y – 7z)(5x – 2y + 7z)
(3) (5x – 2y – 7z)(5x + 2y + 7z)
(4) (5x – 2y + 7z)(5x – 2y – 7z)
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The development period in which internalised 
norms are questioned and the opinions of the peer 
group usually become more important than family 
is called ............... .
(1) Infancy (2) Early Childhood
(3) Middle childhood (4) Adolescence
2. Seeing that their son Ravi was interested in reading 
and could read at the age of 3, his parents got him 
a lot of books. Due to his parents’ encouragement 
Ravi’s reading was highly advanced as per his age.
 Which principle of development can be inferred 
from the above example?
(1) Development does not follow a predictable path.
(2) Development is proximodistal.
(3) Development is cephalocaudal
(4) Development is a result of interaction between 
heredity and environment.
3. Which period of development comprises each 
of the following characteristics: establishment of 
independence, development of identity and abstract 
thinking?
(1) Middle childhood. (2) Late childhood.
(3) Adolescence (4) Early Adulthood
4. Which of the following statements about socialization 
is correct?
(1) There is a uniform way of socialization across 
cultures.
(2) Socialization is a complex process in which 
several agencies influence children during 
various times in their life-span.
(3) Media and family are secondary agencies of 
socialization.
(4) Secondary socialization occurs first when the 
children learn their individual identity and 
acquire language.
5. Which of the following theorist used ‘coqneline 
developmental’ approach to explain the moral 
reasoning among children ?
(1) Howard Gardner (2) Jean Piaget
(3) Joan Turiel (4) Michael Oser
6. “Children activity construct their understanding of 
the world” is proposed by
(1) E. L. Thorndike (2) B. F . Skinner
(3) Jean Piaget (4) Ivan Pavlov
7. In context of teaching - learning, which of the 
following strategy is discouraged by Lev Vygotsky?
(1) Co-operative Learning
(2) Scaffolding
(3) Assisted Learning
(4) Expository teaching
8. While arranging the pieces of a puzzle Meethi speaks 
aloud to direct her own actions. Lev Vygotsky refers 
to the use of such language forself regulation as:
(1) Egocentric Speech (2) Private Speech
(3) Social Speech (4) Irrational Speech
9. According to Lawrence Kohlberg’s theory of moral 
development, at which stage of moral development 
do individuals define right action by self-chosen 
ethical principles of conscience that are valid for all 
humanity, regardless of law and social agreement?
(1) The social contract orientation.
(2) The Universal ethical principal Orientation.
(3) The social order maintaining orientation.
(4) The instrumental purpose orientation.
10. In a progressive classroom, a teacher facilitates the 
children to work in groups to achieve a common 
learning task. This will promote ............... among 
students.
(1) competition (2) cooperative learning
(3) rivalry (4) frustration
11. Which of the following intelligence types are 
included in Howard Gardner’s theory of multiple 
intelligences?
(1) Analytical, Linguistic, Spatial
(2) Creative, Analytical, Practical
(3) Linguistic, Logico-mathematical, Musical
(4) Fluid, Crystalized, General
12. For breaking gender stereotypes in children, which 
among the following should be avoided?
(1) Joint endeavours with children of other genders.
(2) Exposure to adults engaged in no stereotypical 
activities.
(3) making generic utterances such as ‘Girls are 
good in art’ and ‘boys excel in maths’
(4) Critical discussions around ‘inborn abilities’ 
and ‘societal perception of abilities’ of various 
genders.
13. Assertion (A): A teacher should not cater to 
individual differences in the class.
 Reason (R): The purpose of progressive education 
is to ensure that all children are instructed in a 
uniform manner and assessed by standard methods.
 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
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
3 1st December, 2021
  
14. In the context of assessment, what kind of report 
card for students has been proposed in National 
Education Policy (NEP) 2020?
(1) Report cards specifying relative performance of 
the student in comparison to others
(2) Report cards of students performance in paper 
and pencil tests through the year.
(3) 360 degree multi-dimensional report card
(4) summative uni-dimensional report cards
15. Which of the following questions would assess 
critical thinking?
(1) What is the formula for (a + b)
2
?
(2) Write chemical formula of methane.
(3) What could be the various reasons for shortage 
of food?
(4) What is the depositional feature of a glacier 
called?
16. In a language class, which of the following strategy 
should be avoided for successful conclusion of 
students with dyslexia?
(1) Setting strict time lines for submission of hand-
written work.
(2) Allow voice - recorders instead of note - taking 
in class.
(3) Allow typed and printed assignment instead of 
handwritten.
(4) Provide opportunities for reading and writing at 
individual pace.
17. A Learning difficulty marked by low span of 
attention, impulsiveness and a low tolerance for 
frustration, is referred as:
(1) Attention Deficit Hyperactivity Disorder
(2) Autism
(3) Visual Impairment
(4) Dyscalculia
18. A condition characterized by significant limitations 
both in reasoning, learning, problem solving and in 
adaptive behaviour including social and practical 
skills will be known as ............... .
(1) Hearing impairment
(2) Visual impairment
(3) Loco motor disability
(4) Intellectual disability
19. Assertion (A): Inclusion means, students experiencing 
difficulties learn in isolated sections in a regular 
school
 Reason (R): Such a practice prepares students 
experiencing learning difficulties for participation in 
society
 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.
20. Which of the following is NOT an important factor 
of creativity?
(1) Originality (2) Convergent Thinking
(3) Fluency (4) Flexibility
21. In a socio-constructivist classroom, what all would 
be a source of knowledge?
(i) Newspapers (ii) Peers
(iii) T extbooks (iv) Folktales
 Choose the correct option.
(1) (ii), (iii) (2) (i), (ii), (iii)
(3) (i), (iii), (iv) (4) (i), (ii), (iii), (iv)
22. What does ‘active engagement’ of learners involve?
(i) Enquiry and questioning.
(ii) Reproduction and recall.
(iii) Application and reflection.
(iv) Debate and discussion.
 Choose the correct option.
(1) (i), (ii), (iv) (2) (i), (iii), (ii)
(3) (i), (iii), (iv) (4) (ii), (iii), (iv)
23. Allowing learners maximum freedom within a 
resource rich environment and facilitating them 
to construct knowledge for themselves, indicate 
towards which approach?
(1) Discovery Learning
(2) Text-book centred learning
(3) Expository teaching
(4) Behaviouristic teaching
24. Alternative conceptions among children:
(1) are unusual to get formed
(2) are purely illogical and erroneous
(3) represents their intuitive theories
(4) should not be attended by the teacher
25. Assertion (A) : Adolescents should be provided lot 
of opportunities for discussion and debate in the 
classroom.
 Reason (R) : Collaborative learning provides room 
for negotiation of meaning and sharing of multiple 
views.
 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.
26. To encourage conceptual change among students, a 
teacher should:
(1) give long passages to rote memorize.
(2) present content which is moderately challenging 
and requires modification of schemas.
(3) present information in disconnected chunks.
(4) give tasks which are way higher than children’s 
current cognitive level.
27. ............... belief of ability implies that efforts are 
meaningful in achieving success.
(1) Competitive (2) Entity
(3) Incremental (4) Avoidance-based
28. A constructive classroom would include tasks that 
are:
(i) moderately difficult.
(ii) based on recalling the text.
(iii) repetitive and mechanical.
(iv) group work.
 Choose the correct option:
(1) (ii), (iii) (2) (i), (ii)
(3) (i), (iv) (4) (i), (ii), (iii)
  
29. A student is likely to experience ............... when 
attribution for success is considered internal and 
............... when attribution for failure is considered 
external.
(1) Anxiety, Relief (2) Shame, Gratitude
(3) Pride, Anger (4) Gratitude , Joy
30. While teaching a new concept in middle grades, a 
teacher should :
(1) ensure that the concept is absolutely alien to 
students.
(2) relate what students already know with the new 
concept.
(3) give ready-made notes to students and ask them 
to memorise.
(4) ensure that students do not share their socio-
cultural knowledge in the discussion about 
concept.
Mathematics and Science
31. The least number which must be subtracted from 
893304 to obtain a perfect square is:
(1) 279 (2) 479
(3) 1042 (4) 2168
32. Which of the following statements are true?
(i) Sum of two prime numbers is always a prime 
number.
(ii) A composite number can be odd.
(iii) ‘2’ is the only even prime number.
(iv) ‘1’ is the smallest prime number.
(1) (i) and (iii) (2) (ii) and (iii)
(3) (ii) and (iv) (4) (iii) and (iv)
33. There are 18 and 24 students in two sections of a 
class. The number of groups of largest equal size 
in which these students can be divided for their 
practical work is:
(1) 3 (2) 4
(3) 6 (4) 7
34. What is the value of 
1
3
1
4
21
2























 
?
(1) 25 (2) 
1
25
(3) 144 (4) 
1
144
35. If the sum of 1.5 × 10
6
 and 3.4 × 10
7
 is expressed in 
standard form as p × 10
n
, then value of (2p + n) is:
(1) 7.1 (2) 10.55
(3) 13.1 (4) 14.1
36. The ratio of exterior angle and interior angle of a 
regular polygon is 1 : 4. The number of sides of the 
polygon is:
(1) 6 (2) 8
(3) 9 (4) 10
37. Assertion (A): An octagon has 8 lines of symmetry.
 Reason (R): The number of lines of symmetry of a 
regular polygon is equal to the number of its sides.
 Which of the following is correct?
(1) (A) is true, but (R) is false
(2) (A) is false, but (R) is true
(3) Both (A) and (R) are true
(4) Both (A) and (R) are false
38. Consider the following statements:
(i) All rectangles are squares
(ii) All rhombuses are parallelograms
(iii) All squares are not parallelograms
(iv) All squares are trapeziums.
 Which of the above statements are correct?
(1) Only (i) and (ii) (2) Only (ii) and (iii)
(3) Only (iii) and (iv) (4) Only (ii) and (iv)
39. Natural numbers 1 to 25 are written on different 
slips (one number on one slip), kept in a box and 
mixed well. Raj picks up on one slip from the box 
without looking into it. What is the probability that 
this slip bears a composite number?
(1)
 
16
25
 
(2)
 
3
5
(3)
 
13
25
 
(4)
 
14
25
40. The mean of the mean, median, mode and range of 
the data 2, 1, 3, 2, 4, 9, 8, 4, 13, 4 is:
(1) 6.25 (2) 5.25
(3) 7.25 (4) 5.75
41. When recast, the length of a cylindrical iron rod is 
made 16 times of its original length. The radius of 
the new rod will become:
(1) 4 times of the original rod
(2)
 
1
4
 
times of the original rod
(3) 16 times of the original rod
(4) 
1
16
 times of the original rod
42. A square and a semi-circle with a closed base are 
formed using pieces of wire of length 144 cm each. 
The ratio of the area of the square to that of the 
semi-circle is:
 
Take 






22
7
(1) p : 4 (2) 4 : p
(3) 81 : 77 (4) 77 : 81
43. The area of a trapezium is 512 cm
2
. The length of its 
non-parallel sides are 17 cm and 23 cm and distance 
between the parallel sides is 16 cm. The perimeter of 
the trapezium is:
(1) 108 cm (2) 104 cm
(3) 112 cm (4) 116 cm
44. If the weight of 12 sheets of thick paper is 40 grams, 
then how many sheets of the same paper would 
weigh 3
1
2
 kilograms?
(1) 750 (2) 1050
(3) 1350 (4) 950
45. Factors of (25x
2
 – 4y
2
 + 28yz – 49z
2
) are
(1) (5x + 2y – 7z)(5x – 2y – 7z)
(2) (5x + 2y – 7z)(5x – 2y + 7z)
(3) (5x – 2y – 7z)(5x + 2y + 7z)
(4) (5x – 2y + 7z)(5x – 2y – 7z)
  
46. If 3
1
3
m
m
- = 3, where m ? 0, then the value of 
m
m
2
2
1
81
+
 
is:
(1)
 
2
1
9
 
(2)
 
1
2
9
(3) 2 (4) 4
47. The factorization of 49 – x
2
 – y
2
 + 2xy is:
(1) (7 + x – y)(7 – x – y) (2) (7 + x + y)(7 – x + y)
(3) (7 + x + y)(7 + x – y) (3) (7 + x – y)(7 – x + y)
48. If
 
34
3
21
2
7
6
xx
x



 , then the value of 
51
4
x -
 is:
(1)
 
9
4
 
(2)
 
-
1
4
(3)
 
-
9
4
 
(4)
 
1
4
49. If AD is an altitude of an equilateral triangle ABC, 
then 4AD
2
 is equal to
(1) 3BC
2
 (2) 2BD
2
(3) 3BD
2
 (4) 2AB
2
50. D is a point on side BC of a triangle ABC and DB 
is produced to a point E. If AB = AD, ?ABE = 120° 
and ?BCA = 25°, then ?CAD is equal to:
(1) 25° (2) 35°
(3) 65° (4) 85°
51. According to National Curriculum (2005), major aim 
of mathematics education in schools is to:
(1) Analyse the child’s thought process
(2) Mathematize the child’s thought process
(3) De-mathematize the child’s thought process
(4) Develop the problem-solving ability in learner
52. A middle school teacher posed the following 
question to the class:
 “Using the digits 2, 3, 6 and 9 only once make a 
decimal number closest to 64”
 Student A responded: “Its 62.39”
 Student B responded: “I think I can arrange the 
digits again to get a number that is more closer to 
64”
 Which of the following statements is/are correct in 
the above context?
(a) The question assesses the students on their 
ability to compare two decimal numbers.
(b) The response of student B is wrong as 62.39 is 
the correct answer.
(c) There can be multiple answers to the given 
question.
(d) The teacher can initiate the discussion and 
let students critically analyse the reasoning of 
others.
Choose the correct option. 
(1) (a) and (b) (2) (c) and (d) 
(3) Only (b) (4) (a) and (d)
53. Which among the following is/are features of an 
effective classroom discussion?
a. It provides an opportunity for students to clarify 
their misconceptions.
b. It provides an opportunity for gifted students to 
show their talents.
c. It develops student’s mathematical thinking 
and imbibe in them a fear free attitude towards 
mathematics.
(1) a and b (2) b and c
(3) a and c (4) only c
54. Which among the following, is most appropriately 
related with Mathematics Laboratory?
(1) It is helpful in developing the habit of thinking, 
reasoning and problem solving.
(2) In mathematics laboratory concrete materials 
can be easily provided to the learner.
(3) Mathematics laboratory helps learners in 
improving their verbal skills.
(4) It does not encourage projects based learning.
55. Which of the following cannot be considered as one 
of the reasons of mathematics anxiety in students?
(1) Low achievement in mathematics examination
(2) Teaching-learning experiences in classroom
(3) Abstract nature of mathematics
(4) Gender differences
56. The National Curriculum Framework 2005 stresses 
on adopting problem solving as an approach to 
teach mathematics because:
(1) It needs practice to become a good problem 
solver
(2) Students are scared of solving problems
(3) We need to train teachers in adopting problem 
solving approach
(4) Problem solving is related to conceptual 
understanding
57. A middle school teacher plans an assessment for his 
students and gives the following word problem on 
“Fractions” “Cherry’s mother bakes cupcakes for her 
picnic. She ate few cupcakes with her friends. She 
counted that 20 cupcakes are left. She tells her friends 
that they have eaten
 
2
5
th
 of the total cupcakes. How 
many cupcakes did her mother bake?”
 The given word problem would assess which 
abilities of students?
(a) to determine a whole when a fractional part is 
given.
(b) to understand relationship of various quantities 
in a context.
(c) to read a problem in English language.
(d) to give multiple correct answers for the problem.
 Choose the correct options.
(1) (a) and (c) (2) (a) and (b)
(3) (b) and (d) (4) Only (a)
58. Which among the following are the features of a 
constructivist classroom?
a. Asking students to solve all the problems given 
in the exercises of a textbook
b. Connect concepts and problems with the real life 
situation.
c. Facilitate student interaction during classroom 
activities.
d. Asking more questions to the students and 
discourage questioning by the students.
(1) a and b (2) b and c 
(3) c and d (4) a, b and c
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. The development period in which internalised 
norms are questioned and the opinions of the peer 
group usually become more important than family 
is called ............... .
(1) Infancy (2) Early Childhood
(3) Middle childhood (4) Adolescence
2. Seeing that their son Ravi was interested in reading 
and could read at the age of 3, his parents got him 
a lot of books. Due to his parents’ encouragement 
Ravi’s reading was highly advanced as per his age.
 Which principle of development can be inferred 
from the above example?
(1) Development does not follow a predictable path.
(2) Development is proximodistal.
(3) Development is cephalocaudal
(4) Development is a result of interaction between 
heredity and environment.
3. Which period of development comprises each 
of the following characteristics: establishment of 
independence, development of identity and abstract 
thinking?
(1) Middle childhood. (2) Late childhood.
(3) Adolescence (4) Early Adulthood
4. Which of the following statements about socialization 
is correct?
(1) There is a uniform way of socialization across 
cultures.
(2) Socialization is a complex process in which 
several agencies influence children during 
various times in their life-span.
(3) Media and family are secondary agencies of 
socialization.
(4) Secondary socialization occurs first when the 
children learn their individual identity and 
acquire language.
5. Which of the following theorist used ‘coqneline 
developmental’ approach to explain the moral 
reasoning among children ?
(1) Howard Gardner (2) Jean Piaget
(3) Joan Turiel (4) Michael Oser
6. “Children activity construct their understanding of 
the world” is proposed by
(1) E. L. Thorndike (2) B. F . Skinner
(3) Jean Piaget (4) Ivan Pavlov
7. In context of teaching - learning, which of the 
following strategy is discouraged by Lev Vygotsky?
(1) Co-operative Learning
(2) Scaffolding
(3) Assisted Learning
(4) Expository teaching
8. While arranging the pieces of a puzzle Meethi speaks 
aloud to direct her own actions. Lev Vygotsky refers 
to the use of such language forself regulation as:
(1) Egocentric Speech (2) Private Speech
(3) Social Speech (4) Irrational Speech
9. According to Lawrence Kohlberg’s theory of moral 
development, at which stage of moral development 
do individuals define right action by self-chosen 
ethical principles of conscience that are valid for all 
humanity, regardless of law and social agreement?
(1) The social contract orientation.
(2) The Universal ethical principal Orientation.
(3) The social order maintaining orientation.
(4) The instrumental purpose orientation.
10. In a progressive classroom, a teacher facilitates the 
children to work in groups to achieve a common 
learning task. This will promote ............... among 
students.
(1) competition (2) cooperative learning
(3) rivalry (4) frustration
11. Which of the following intelligence types are 
included in Howard Gardner’s theory of multiple 
intelligences?
(1) Analytical, Linguistic, Spatial
(2) Creative, Analytical, Practical
(3) Linguistic, Logico-mathematical, Musical
(4) Fluid, Crystalized, General
12. For breaking gender stereotypes in children, which 
among the following should be avoided?
(1) Joint endeavours with children of other genders.
(2) Exposure to adults engaged in no stereotypical 
activities.
(3) making generic utterances such as ‘Girls are 
good in art’ and ‘boys excel in maths’
(4) Critical discussions around ‘inborn abilities’ 
and ‘societal perception of abilities’ of various 
genders.
13. Assertion (A): A teacher should not cater to 
individual differences in the class.
 Reason (R): The purpose of progressive education 
is to ensure that all children are instructed in a 
uniform manner and assessed by standard methods.
 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
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
3 1st December, 2021
  
14. In the context of assessment, what kind of report 
card for students has been proposed in National 
Education Policy (NEP) 2020?
(1) Report cards specifying relative performance of 
the student in comparison to others
(2) Report cards of students performance in paper 
and pencil tests through the year.
(3) 360 degree multi-dimensional report card
(4) summative uni-dimensional report cards
15. Which of the following questions would assess 
critical thinking?
(1) What is the formula for (a + b)
2
?
(2) Write chemical formula of methane.
(3) What could be the various reasons for shortage 
of food?
(4) What is the depositional feature of a glacier 
called?
16. In a language class, which of the following strategy 
should be avoided for successful conclusion of 
students with dyslexia?
(1) Setting strict time lines for submission of hand-
written work.
(2) Allow voice - recorders instead of note - taking 
in class.
(3) Allow typed and printed assignment instead of 
handwritten.
(4) Provide opportunities for reading and writing at 
individual pace.
17. A Learning difficulty marked by low span of 
attention, impulsiveness and a low tolerance for 
frustration, is referred as:
(1) Attention Deficit Hyperactivity Disorder
(2) Autism
(3) Visual Impairment
(4) Dyscalculia
18. A condition characterized by significant limitations 
both in reasoning, learning, problem solving and in 
adaptive behaviour including social and practical 
skills will be known as ............... .
(1) Hearing impairment
(2) Visual impairment
(3) Loco motor disability
(4) Intellectual disability
19. Assertion (A): Inclusion means, students experiencing 
difficulties learn in isolated sections in a regular 
school
 Reason (R): Such a practice prepares students 
experiencing learning difficulties for participation in 
society
 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.
20. Which of the following is NOT an important factor 
of creativity?
(1) Originality (2) Convergent Thinking
(3) Fluency (4) Flexibility
21. In a socio-constructivist classroom, what all would 
be a source of knowledge?
(i) Newspapers (ii) Peers
(iii) T extbooks (iv) Folktales
 Choose the correct option.
(1) (ii), (iii) (2) (i), (ii), (iii)
(3) (i), (iii), (iv) (4) (i), (ii), (iii), (iv)
22. What does ‘active engagement’ of learners involve?
(i) Enquiry and questioning.
(ii) Reproduction and recall.
(iii) Application and reflection.
(iv) Debate and discussion.
 Choose the correct option.
(1) (i), (ii), (iv) (2) (i), (iii), (ii)
(3) (i), (iii), (iv) (4) (ii), (iii), (iv)
23. Allowing learners maximum freedom within a 
resource rich environment and facilitating them 
to construct knowledge for themselves, indicate 
towards which approach?
(1) Discovery Learning
(2) Text-book centred learning
(3) Expository teaching
(4) Behaviouristic teaching
24. Alternative conceptions among children:
(1) are unusual to get formed
(2) are purely illogical and erroneous
(3) represents their intuitive theories
(4) should not be attended by the teacher
25. Assertion (A) : Adolescents should be provided lot 
of opportunities for discussion and debate in the 
classroom.
 Reason (R) : Collaborative learning provides room 
for negotiation of meaning and sharing of multiple 
views.
 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.
26. To encourage conceptual change among students, a 
teacher should:
(1) give long passages to rote memorize.
(2) present content which is moderately challenging 
and requires modification of schemas.
(3) present information in disconnected chunks.
(4) give tasks which are way higher than children’s 
current cognitive level.
27. ............... belief of ability implies that efforts are 
meaningful in achieving success.
(1) Competitive (2) Entity
(3) Incremental (4) Avoidance-based
28. A constructive classroom would include tasks that 
are:
(i) moderately difficult.
(ii) based on recalling the text.
(iii) repetitive and mechanical.
(iv) group work.
 Choose the correct option:
(1) (ii), (iii) (2) (i), (ii)
(3) (i), (iv) (4) (i), (ii), (iii)
  
29. A student is likely to experience ............... when 
attribution for success is considered internal and 
............... when attribution for failure is considered 
external.
(1) Anxiety, Relief (2) Shame, Gratitude
(3) Pride, Anger (4) Gratitude , Joy
30. While teaching a new concept in middle grades, a 
teacher should :
(1) ensure that the concept is absolutely alien to 
students.
(2) relate what students already know with the new 
concept.
(3) give ready-made notes to students and ask them 
to memorise.
(4) ensure that students do not share their socio-
cultural knowledge in the discussion about 
concept.
Mathematics and Science
31. The least number which must be subtracted from 
893304 to obtain a perfect square is:
(1) 279 (2) 479
(3) 1042 (4) 2168
32. Which of the following statements are true?
(i) Sum of two prime numbers is always a prime 
number.
(ii) A composite number can be odd.
(iii) ‘2’ is the only even prime number.
(iv) ‘1’ is the smallest prime number.
(1) (i) and (iii) (2) (ii) and (iii)
(3) (ii) and (iv) (4) (iii) and (iv)
33. There are 18 and 24 students in two sections of a 
class. The number of groups of largest equal size 
in which these students can be divided for their 
practical work is:
(1) 3 (2) 4
(3) 6 (4) 7
34. What is the value of 
1
3
1
4
21
2























 
?
(1) 25 (2) 
1
25
(3) 144 (4) 
1
144
35. If the sum of 1.5 × 10
6
 and 3.4 × 10
7
 is expressed in 
standard form as p × 10
n
, then value of (2p + n) is:
(1) 7.1 (2) 10.55
(3) 13.1 (4) 14.1
36. The ratio of exterior angle and interior angle of a 
regular polygon is 1 : 4. The number of sides of the 
polygon is:
(1) 6 (2) 8
(3) 9 (4) 10
37. Assertion (A): An octagon has 8 lines of symmetry.
 Reason (R): The number of lines of symmetry of a 
regular polygon is equal to the number of its sides.
 Which of the following is correct?
(1) (A) is true, but (R) is false
(2) (A) is false, but (R) is true
(3) Both (A) and (R) are true
(4) Both (A) and (R) are false
38. Consider the following statements:
(i) All rectangles are squares
(ii) All rhombuses are parallelograms
(iii) All squares are not parallelograms
(iv) All squares are trapeziums.
 Which of the above statements are correct?
(1) Only (i) and (ii) (2) Only (ii) and (iii)
(3) Only (iii) and (iv) (4) Only (ii) and (iv)
39. Natural numbers 1 to 25 are written on different 
slips (one number on one slip), kept in a box and 
mixed well. Raj picks up on one slip from the box 
without looking into it. What is the probability that 
this slip bears a composite number?
(1)
 
16
25
 
(2)
 
3
5
(3)
 
13
25
 
(4)
 
14
25
40. The mean of the mean, median, mode and range of 
the data 2, 1, 3, 2, 4, 9, 8, 4, 13, 4 is:
(1) 6.25 (2) 5.25
(3) 7.25 (4) 5.75
41. When recast, the length of a cylindrical iron rod is 
made 16 times of its original length. The radius of 
the new rod will become:
(1) 4 times of the original rod
(2)
 
1
4
 
times of the original rod
(3) 16 times of the original rod
(4) 
1
16
 times of the original rod
42. A square and a semi-circle with a closed base are 
formed using pieces of wire of length 144 cm each. 
The ratio of the area of the square to that of the 
semi-circle is:
 
Take 






22
7
(1) p : 4 (2) 4 : p
(3) 81 : 77 (4) 77 : 81
43. The area of a trapezium is 512 cm
2
. The length of its 
non-parallel sides are 17 cm and 23 cm and distance 
between the parallel sides is 16 cm. The perimeter of 
the trapezium is:
(1) 108 cm (2) 104 cm
(3) 112 cm (4) 116 cm
44. If the weight of 12 sheets of thick paper is 40 grams, 
then how many sheets of the same paper would 
weigh 3
1
2
 kilograms?
(1) 750 (2) 1050
(3) 1350 (4) 950
45. Factors of (25x
2
 – 4y
2
 + 28yz – 49z
2
) are
(1) (5x + 2y – 7z)(5x – 2y – 7z)
(2) (5x + 2y – 7z)(5x – 2y + 7z)
(3) (5x – 2y – 7z)(5x + 2y + 7z)
(4) (5x – 2y + 7z)(5x – 2y – 7z)
  
46. If 3
1
3
m
m
- = 3, where m ? 0, then the value of 
m
m
2
2
1
81
+
 
is:
(1)
 
2
1
9
 
(2)
 
1
2
9
(3) 2 (4) 4
47. The factorization of 49 – x
2
 – y
2
 + 2xy is:
(1) (7 + x – y)(7 – x – y) (2) (7 + x + y)(7 – x + y)
(3) (7 + x + y)(7 + x – y) (3) (7 + x – y)(7 – x + y)
48. If
 
34
3
21
2
7
6
xx
x



 , then the value of 
51
4
x -
 is:
(1)
 
9
4
 
(2)
 
-
1
4
(3)
 
-
9
4
 
(4)
 
1
4
49. If AD is an altitude of an equilateral triangle ABC, 
then 4AD
2
 is equal to
(1) 3BC
2
 (2) 2BD
2
(3) 3BD
2
 (4) 2AB
2
50. D is a point on side BC of a triangle ABC and DB 
is produced to a point E. If AB = AD, ?ABE = 120° 
and ?BCA = 25°, then ?CAD is equal to:
(1) 25° (2) 35°
(3) 65° (4) 85°
51. According to National Curriculum (2005), major aim 
of mathematics education in schools is to:
(1) Analyse the child’s thought process
(2) Mathematize the child’s thought process
(3) De-mathematize the child’s thought process
(4) Develop the problem-solving ability in learner
52. A middle school teacher posed the following 
question to the class:
 “Using the digits 2, 3, 6 and 9 only once make a 
decimal number closest to 64”
 Student A responded: “Its 62.39”
 Student B responded: “I think I can arrange the 
digits again to get a number that is more closer to 
64”
 Which of the following statements is/are correct in 
the above context?
(a) The question assesses the students on their 
ability to compare two decimal numbers.
(b) The response of student B is wrong as 62.39 is 
the correct answer.
(c) There can be multiple answers to the given 
question.
(d) The teacher can initiate the discussion and 
let students critically analyse the reasoning of 
others.
Choose the correct option. 
(1) (a) and (b) (2) (c) and (d) 
(3) Only (b) (4) (a) and (d)
53. Which among the following is/are features of an 
effective classroom discussion?
a. It provides an opportunity for students to clarify 
their misconceptions.
b. It provides an opportunity for gifted students to 
show their talents.
c. It develops student’s mathematical thinking 
and imbibe in them a fear free attitude towards 
mathematics.
(1) a and b (2) b and c
(3) a and c (4) only c
54. Which among the following, is most appropriately 
related with Mathematics Laboratory?
(1) It is helpful in developing the habit of thinking, 
reasoning and problem solving.
(2) In mathematics laboratory concrete materials 
can be easily provided to the learner.
(3) Mathematics laboratory helps learners in 
improving their verbal skills.
(4) It does not encourage projects based learning.
55. Which of the following cannot be considered as one 
of the reasons of mathematics anxiety in students?
(1) Low achievement in mathematics examination
(2) Teaching-learning experiences in classroom
(3) Abstract nature of mathematics
(4) Gender differences
56. The National Curriculum Framework 2005 stresses 
on adopting problem solving as an approach to 
teach mathematics because:
(1) It needs practice to become a good problem 
solver
(2) Students are scared of solving problems
(3) We need to train teachers in adopting problem 
solving approach
(4) Problem solving is related to conceptual 
understanding
57. A middle school teacher plans an assessment for his 
students and gives the following word problem on 
“Fractions” “Cherry’s mother bakes cupcakes for her 
picnic. She ate few cupcakes with her friends. She 
counted that 20 cupcakes are left. She tells her friends 
that they have eaten
 
2
5
th
 of the total cupcakes. How 
many cupcakes did her mother bake?”
 The given word problem would assess which 
abilities of students?
(a) to determine a whole when a fractional part is 
given.
(b) to understand relationship of various quantities 
in a context.
(c) to read a problem in English language.
(d) to give multiple correct answers for the problem.
 Choose the correct options.
(1) (a) and (c) (2) (a) and (b)
(3) (b) and (d) (4) Only (a)
58. Which among the following are the features of a 
constructivist classroom?
a. Asking students to solve all the problems given 
in the exercises of a textbook
b. Connect concepts and problems with the real life 
situation.
c. Facilitate student interaction during classroom 
activities.
d. Asking more questions to the students and 
discourage questioning by the students.
(1) a and b (2) b and c 
(3) c and d (4) a, b and c
  
59. Which of the following strategies in NOT suitable 
for teaching low achievers in mathematics?
(1) Using activities centred on student’s interest
(2) Giving less number of questions in a single work 
session
(3) Giving miscellaneous question from textbook to 
solve
(4) Allocating extra time for teacher guided-practice
60. A teacher presents the real-life problem in the 
classroom that in a village where almost all the 
villagers/households are from economically weaker 
section only three are affluent households. For 
providing the maximum benefits of govt. scheme to 
villagers, a survey is being done. In this situation, 
which one of the following measures of central 
tendency will be appropriate to find out the average 
income of that village?
(1) Mean (2) Median
(3) Mode (4) Harmonic Mean
61. Read the following statements and choose the 
correct response
 Assertion (A): Sound travels faster in water than in 
air.
 Reason (R): Rigidity of medium impact the speed of 
sound.
(1) Both A and R are correct and R is correct 
explanation for A
(2) Both A and R are correct and R is not correct 
explanation for A
(3) A is correct and R is incorrect
(4) R is correct and A is incorrect
62. The part of human alimentary canal where complete 
digestion of fats takes place is:
(1) large intestine (2) small intestine
(3) mouth (4) stomach
63. Caterpillars (silkworms) secrete fibre made of
(1) Proteins (2) Carbohydrates
(3) Fats (4) Cellulose
64. Sometimes we get muscle cramps after exercise. It is 
because:
(1) aerobic respiration takes place and alcohol, lactic 
acid and energy produced
(2) anaerobic respiration takes place and alcohol, 
CO
2
 and energy are produced
(3) aerobic respiration takes place and lactic acid, 
CO
2
 and energy are produced
(4) anaerobic respiration takes place and lactic acid 
and energy are produced
65. The correctly describing statement about the arteries 
in human heart is:
(1) Arteries have thin walls with valves inside, blood 
flows under low pressure, carry blood away 
from the heart.
(2) Arteries have thick elastic walls with valves 
inside, blood flows under high pressure, collect 
blood from different organs and bring it back to 
the heart
(3) Arteries have thick elastic walls without valves 
inside, blood flows under high pressure, carry 
blood away form the heart to various parts of 
the body
(4) Arteries have thick walls, blood flow under low 
pressure, carry the blood from heart to different 
organs of the body
66. The actual path of urine in the human body is:
(1) Kidney ? ureter ? urinary bladder ? urethra
(2) Kidney ? urinary bladder ? urinary bladder ? 
urethra
(3) Kidney ? urethra ? urinary bladder ? ureter
(4) Kidney ? urinary bladder ? urethra ? ureter
67. A train starts from a station A on 06.10.2021 at 22:15 
hrs and reaches the station B on 09.10.2021 at 04:15 
hrs. If the distance between the two stations is 1890 
km, the average speed of the train is:
(1) 35 km/h (2) 63 km/h
(3) 54 km/h (4) 64 km/h
68. Consider the following statements:
(A) A convex mirror always forms a virtual and 
diminished image
(B) A concave lens always forms a virtual and 
diminished image
(C) A concave mirror can form a real diminished as 
well as virtual diminished image
(D) A convex lens while using as a magnifier makes 
a real and magnified image
 The correct statements are:
(1) A, B and C (2) B, C and D
(3) Only A and B (4) A, B and D
69. Consider the following statements about 
biodiversity:
(A) It refers to only the fauna found in a particular 
area
(B) It refers to the total number of individuals of a 
particular species found in the given area
(C) It refer to the different kind of species of flora 
and fauna present in the given area
(D) It is maximum in forests
 The correct statements is/are:
(1) Only D (2) Only B and D
(3) A, B and D (4) Only C and D
70. Consider the following statements related to cell 
and choose the INCORRECT statement:
A. Shapes of the cell are specifically related with 
function
B. Cell membrane is absent in plant cell
C. Cell wall is present in bacteria
D. Neuron exhibit spindle shape
(1) A, B (2) B, D
(3) C, D (4) B, C
71. Which of the following is correct statements 
regarding Photosynthesis & respiration in Plants?
(1) Both take place in plants during day time
(2) Respiration takes place during night and 
Photosynthesis during day time
(3) Respiration taken place during night day 
whereas Photosynthetic during day time
(4) Both take place during day and night.
72. Consider the following statements:
(A) Diseases like dysentery and malaria are bacterial 
diseases
(B) Typhoid and tuberculosis are caused by 
protozoans
(C) Influenza and chicken pox are caused by virus
(D) Polio and must coughs are viral diseases
 The correct statement(s) is/are
(1) Only A (2) Only C
(3) Only A and B (4) Only C and D