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
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