CTET Solved Question Paper - 2 (21 Jan - 2024) | 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
Direction (1-30): Answer the following questions by 
selecting the correct/most appropriate options.
1. Dyslexia is a — condition which impacts learner’s 
ability to
(1) Physiological, socialize with peers
(2) sensory, Coordinate body movements
(3) emotional, draw pictures
(4) neurological, link sounds with symbols
2. Assertion (A): Learning from real-life problems and 
concrete experiences gives the children multiple 
pathways for learning and retrieving information.
 Reason (R): Development is relatively orderly and 
sequential.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
3. Asking Critical questions such as “how much and 
in what ways are various gender represented in 
textbooks and media” would encourage :
(1) Reinforcing gender identity 
(2) Discouraging gender role flexibility
(3) Questioning gender stereotypes
(4) Strengthening gender
4. Assertion (A): In an inclusive classroom, adaptations 
should be made in learning goals, pedagogical 
strategies as well as assessment,
 Reason (R) : The philosophy of inclusion advocates 
elimination of all individual differences through 
pedagogical approaches and assessment.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
5. A teacher notices that one of her students is highly 
distractable and has trouble paying attention during 
class. Which of the following strategies would is 
an effective strategy in helping the student stay 
focused?
(1) Giving a timer to student for self-regulation and 
time-management,
(2) Calling the parents and taking Strict disciplinary 
action against the student.
(3) Giving the student repeated tasks to do during 
class.
(4) Strictly telling the student to increase their 
attention span.
6. Assertion (A): Teachers should constantly reflecting 
their own stereotypes and bias,
 Reason (R): Culturally responsive teaching means 
that teachers are reflective.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
7. Which of the following process is essential in 
meaning making of the information received from 
environment and store it further in memory?
(1) Forgetting (2) Retrieval
(3) Attention (4) Decay
8. In which stage of Kohlberg's moral development do 
children's reasoning revolve around ethics of law?
(1) Heteronomous morality 
(2) Autonomous morality
(3) Pre-conventional morality 
(4) Conventional morality
9. Which of the following is a core principle of 
constructivist learning, not with their environment,
(1) Students construct their own knowledge 
through achieve engagement
(2) Learning is primarily a passive process that 
involves receiving and memorizing information.
(3) Teachers should provide direct instruction and 
explicit guidance to students.
(4) Learning occurs when students receive correct 
answer and feedback from teachers.
10. According to Vygotsky, what is the role of the teacher 
in facilitating cognitive development ?
(1) To allow the student to learn completely 
independently.
(2) To give only those tasks that the student can 
currently do independently,
(3) To provide information and knowledge to the 
student.
(4) To guide and support the student's learning 
through scaffolding.
11. Which of the following does not exemplify an 
inclusive Classroom ?
(1) Offering differentiated instruction
(2) Encouraging competitive ethos
(3) Incorporation of diverse perspectives
(4) Following reasonable accommodation
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
21st January, 2024
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Direction (1-30): Answer the following questions by 
selecting the correct/most appropriate options.
1. Dyslexia is a — condition which impacts learner’s 
ability to
(1) Physiological, socialize with peers
(2) sensory, Coordinate body movements
(3) emotional, draw pictures
(4) neurological, link sounds with symbols
2. Assertion (A): Learning from real-life problems and 
concrete experiences gives the children multiple 
pathways for learning and retrieving information.
 Reason (R): Development is relatively orderly and 
sequential.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
3. Asking Critical questions such as “how much and 
in what ways are various gender represented in 
textbooks and media” would encourage :
(1) Reinforcing gender identity 
(2) Discouraging gender role flexibility
(3) Questioning gender stereotypes
(4) Strengthening gender
4. Assertion (A): In an inclusive classroom, adaptations 
should be made in learning goals, pedagogical 
strategies as well as assessment,
 Reason (R) : The philosophy of inclusion advocates 
elimination of all individual differences through 
pedagogical approaches and assessment.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
5. A teacher notices that one of her students is highly 
distractable and has trouble paying attention during 
class. Which of the following strategies would is 
an effective strategy in helping the student stay 
focused?
(1) Giving a timer to student for self-regulation and 
time-management,
(2) Calling the parents and taking Strict disciplinary 
action against the student.
(3) Giving the student repeated tasks to do during 
class.
(4) Strictly telling the student to increase their 
attention span.
6. Assertion (A): Teachers should constantly reflecting 
their own stereotypes and bias,
 Reason (R): Culturally responsive teaching means 
that teachers are reflective.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
7. Which of the following process is essential in 
meaning making of the information received from 
environment and store it further in memory?
(1) Forgetting (2) Retrieval
(3) Attention (4) Decay
8. In which stage of Kohlberg's moral development do 
children's reasoning revolve around ethics of law?
(1) Heteronomous morality 
(2) Autonomous morality
(3) Pre-conventional morality 
(4) Conventional morality
9. Which of the following is a core principle of 
constructivist learning, not with their environment,
(1) Students construct their own knowledge 
through achieve engagement
(2) Learning is primarily a passive process that 
involves receiving and memorizing information.
(3) Teachers should provide direct instruction and 
explicit guidance to students.
(4) Learning occurs when students receive correct 
answer and feedback from teachers.
10. According to Vygotsky, what is the role of the teacher 
in facilitating cognitive development ?
(1) To allow the student to learn completely 
independently.
(2) To give only those tasks that the student can 
currently do independently,
(3) To provide information and knowledge to the 
student.
(4) To guide and support the student's learning 
through scaffolding.
11. Which of the following does not exemplify an 
inclusive Classroom ?
(1) Offering differentiated instruction
(2) Encouraging competitive ethos
(3) Incorporation of diverse perspectives
(4) Following reasonable accommodation
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
21st January, 2024
 
12. An elementary school teacher can strongly influence 
students’ development of academic self-concept by:
(1) Rewarding autonomy and initiative in students
(2) Keeping very low expectations from special 
students:
(3) Keeping very low expectation from all students
(4) Punishing autonomy and initiative in students
13. According to Lev-Vygotsky children benefit from the 
experience of interacting with _____ while working 
_____ their zone of proximal development.
(1) the physical environment; within
(2) the physical environment; just outside
(3) more knowledgeable others; within
(4) more knowledgeable others, just outside
14. Assertion (A): There is no objectively definable 
moment when a child enters middle childhood and 
adolescence.
 Reason (R): Development is continuous in nature.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
15. In a progressive classroom assessment is :
(1) Summative  (2) Normative
(3) Dynamic  (4) Objective
16. In order to address the individual differences 
among, learners, a teacher should :
(1) consider differences as obvious feature of human 
diversity
(2) implement a rigid and uniform curriculum for 
all learners
(3) acknowledge differences as abnormal and kind 
of deficit
(4) be indifferent towards individual differences
17. Alok shows the following behaviours: Holds head 
in an awkward position when reading; squinting 
and rubbing the eye frequently; redness/swelling of 
eyes; Confusing letters. These can be symptoms of 
potential : 
(1) Autistic spectrum disorder 
(2) Communication disorder
(3) Visual problems 
(4) Language comprehension problems
18. Which of the following describes a mastery goal 
orientation ?
(1) focus on achieving a high grade for receiving 
external rewards,
(2) focus on avoiding failure or punishment for fear 
of humiliation.
(3) focus on achieving a certain level of performance 
for competing with others.
(4) focus on improving ones skills and understanding 
of a task.
19. According to Jean Piaget the ability to use symbols 
for symbols such as letting the letter X stand for an 
unknown numeral develops during and enables the 
children to learn.
(1) formal operational stage; algebra and calculus
(2) formal operational stage; conservation and 
seriation
(3) concrete operational stage; algebra and calculus
(4) concrete operational stage; conservation and 
seriation
20. Assertion (A): Students are more likely to do well 
and stay in school if they have emotional attachment 
to their school and believe that they matter.
 Reason (R) : Emotions play a significant role in 
learning
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
21. Which of the following best describes the role of the 
teacher in progressive education ?
(1) The teacher is responsible for ensuring strict 
adherence to curriculum standards.
(2) The teacher gets the children learn independently 
and does not interfere in their learning.
(3) The teacher is the primary source of knowledge 
and authority in the classroom.
(4) The teacher provides diverse materials for 
children to experiment and provides scaffolding 
as and when required.
23. Which of the following statement about adolescence 
is not correct?
(a) It is a linear process. 
(b) It is a complex process.
(c) It is a multidimensional process. 
(d) It takes place uniquely in different cultures,
(1) (b), (c), (d) (2) (a), (b), (c), (d)
(3) (a), (b) (4) (b), (c)
23. Which of the following statement adolescence is not 
correct ?
(1) Adolescence is development transition between 
childhood and adulthood entailing physical, 
cognitive and psychosocial changes. 
(2) Children across different cultures usher in and 
experience adolescence in a similar manner.
(3) Adolescence is a social construction.
(4) Adolescence is generally considered to begin 
with puberty - the process that leads to sexual 
maturity and the ability to reproduce.
24. Work in progress Portfolios are an effective tool for 
formative assessment because :
(1) They involve students in the process of 
assessment
(2) They offer insights about the progress of 
individual students.
(3) They focus mainly in the presentation of the 
final product.
(4) They offer tangible evidence of student learning.
25. A middle school teacher wants to enable meaningful 
learning by helping students make corrections 
between concepts and real-world applications. 
Which of the following activities would be an 
appropriate pedagogical strategy?
(1) Let the students learn by the method of stimulus-
response conditioning.
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Direction (1-30): Answer the following questions by 
selecting the correct/most appropriate options.
1. Dyslexia is a — condition which impacts learner’s 
ability to
(1) Physiological, socialize with peers
(2) sensory, Coordinate body movements
(3) emotional, draw pictures
(4) neurological, link sounds with symbols
2. Assertion (A): Learning from real-life problems and 
concrete experiences gives the children multiple 
pathways for learning and retrieving information.
 Reason (R): Development is relatively orderly and 
sequential.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
3. Asking Critical questions such as “how much and 
in what ways are various gender represented in 
textbooks and media” would encourage :
(1) Reinforcing gender identity 
(2) Discouraging gender role flexibility
(3) Questioning gender stereotypes
(4) Strengthening gender
4. Assertion (A): In an inclusive classroom, adaptations 
should be made in learning goals, pedagogical 
strategies as well as assessment,
 Reason (R) : The philosophy of inclusion advocates 
elimination of all individual differences through 
pedagogical approaches and assessment.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
5. A teacher notices that one of her students is highly 
distractable and has trouble paying attention during 
class. Which of the following strategies would is 
an effective strategy in helping the student stay 
focused?
(1) Giving a timer to student for self-regulation and 
time-management,
(2) Calling the parents and taking Strict disciplinary 
action against the student.
(3) Giving the student repeated tasks to do during 
class.
(4) Strictly telling the student to increase their 
attention span.
6. Assertion (A): Teachers should constantly reflecting 
their own stereotypes and bias,
 Reason (R): Culturally responsive teaching means 
that teachers are reflective.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
7. Which of the following process is essential in 
meaning making of the information received from 
environment and store it further in memory?
(1) Forgetting (2) Retrieval
(3) Attention (4) Decay
8. In which stage of Kohlberg's moral development do 
children's reasoning revolve around ethics of law?
(1) Heteronomous morality 
(2) Autonomous morality
(3) Pre-conventional morality 
(4) Conventional morality
9. Which of the following is a core principle of 
constructivist learning, not with their environment,
(1) Students construct their own knowledge 
through achieve engagement
(2) Learning is primarily a passive process that 
involves receiving and memorizing information.
(3) Teachers should provide direct instruction and 
explicit guidance to students.
(4) Learning occurs when students receive correct 
answer and feedback from teachers.
10. According to Vygotsky, what is the role of the teacher 
in facilitating cognitive development ?
(1) To allow the student to learn completely 
independently.
(2) To give only those tasks that the student can 
currently do independently,
(3) To provide information and knowledge to the 
student.
(4) To guide and support the student's learning 
through scaffolding.
11. Which of the following does not exemplify an 
inclusive Classroom ?
(1) Offering differentiated instruction
(2) Encouraging competitive ethos
(3) Incorporation of diverse perspectives
(4) Following reasonable accommodation
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
21st January, 2024
 
12. An elementary school teacher can strongly influence 
students’ development of academic self-concept by:
(1) Rewarding autonomy and initiative in students
(2) Keeping very low expectations from special 
students:
(3) Keeping very low expectation from all students
(4) Punishing autonomy and initiative in students
13. According to Lev-Vygotsky children benefit from the 
experience of interacting with _____ while working 
_____ their zone of proximal development.
(1) the physical environment; within
(2) the physical environment; just outside
(3) more knowledgeable others; within
(4) more knowledgeable others, just outside
14. Assertion (A): There is no objectively definable 
moment when a child enters middle childhood and 
adolescence.
 Reason (R): Development is continuous in nature.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
15. In a progressive classroom assessment is :
(1) Summative  (2) Normative
(3) Dynamic  (4) Objective
16. In order to address the individual differences 
among, learners, a teacher should :
(1) consider differences as obvious feature of human 
diversity
(2) implement a rigid and uniform curriculum for 
all learners
(3) acknowledge differences as abnormal and kind 
of deficit
(4) be indifferent towards individual differences
17. Alok shows the following behaviours: Holds head 
in an awkward position when reading; squinting 
and rubbing the eye frequently; redness/swelling of 
eyes; Confusing letters. These can be symptoms of 
potential : 
(1) Autistic spectrum disorder 
(2) Communication disorder
(3) Visual problems 
(4) Language comprehension problems
18. Which of the following describes a mastery goal 
orientation ?
(1) focus on achieving a high grade for receiving 
external rewards,
(2) focus on avoiding failure or punishment for fear 
of humiliation.
(3) focus on achieving a certain level of performance 
for competing with others.
(4) focus on improving ones skills and understanding 
of a task.
19. According to Jean Piaget the ability to use symbols 
for symbols such as letting the letter X stand for an 
unknown numeral develops during and enables the 
children to learn.
(1) formal operational stage; algebra and calculus
(2) formal operational stage; conservation and 
seriation
(3) concrete operational stage; algebra and calculus
(4) concrete operational stage; conservation and 
seriation
20. Assertion (A): Students are more likely to do well 
and stay in school if they have emotional attachment 
to their school and believe that they matter.
 Reason (R) : Emotions play a significant role in 
learning
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
21. Which of the following best describes the role of the 
teacher in progressive education ?
(1) The teacher is responsible for ensuring strict 
adherence to curriculum standards.
(2) The teacher gets the children learn independently 
and does not interfere in their learning.
(3) The teacher is the primary source of knowledge 
and authority in the classroom.
(4) The teacher provides diverse materials for 
children to experiment and provides scaffolding 
as and when required.
23. Which of the following statement about adolescence 
is not correct?
(a) It is a linear process. 
(b) It is a complex process.
(c) It is a multidimensional process. 
(d) It takes place uniquely in different cultures,
(1) (b), (c), (d) (2) (a), (b), (c), (d)
(3) (a), (b) (4) (b), (c)
23. Which of the following statement adolescence is not 
correct ?
(1) Adolescence is development transition between 
childhood and adulthood entailing physical, 
cognitive and psychosocial changes. 
(2) Children across different cultures usher in and 
experience adolescence in a similar manner.
(3) Adolescence is a social construction.
(4) Adolescence is generally considered to begin 
with puberty - the process that leads to sexual 
maturity and the ability to reproduce.
24. Work in progress Portfolios are an effective tool for 
formative assessment because :
(1) They involve students in the process of 
assessment
(2) They offer insights about the progress of 
individual students.
(3) They focus mainly in the presentation of the 
final product.
(4) They offer tangible evidence of student learning.
25. A middle school teacher wants to enable meaningful 
learning by helping students make corrections 
between concepts and real-world applications. 
Which of the following activities would be an 
appropriate pedagogical strategy?
(1) Let the students learn by the method of stimulus-
response conditioning.
  
(2)  Let the students research on a current issue in 
small groups and present their findings to the 
class.
(3) Let the students memorize terms and definitions.
(4)  Let the students complete worksheets with 
multiple choice questions.
26. Sujata participates eagerly in the dance competition 
only because she is interested in winning the first 
prize of cash. Sujata is :
(1) Mastery-Oriented learner 
(2) Failure-avoiding learner
(3) Intrinsically motivated 
(4) Extrinsically motivated
27. Which of the following is an example of a question 
that requires students to analyze information ?
(1) How does the author use symbolism in “T o Kill a 
Mockingbird”?
(2) Who is the protagonist of “T o Kill a Mockingbird”?
(3) What is the plot of the novel “To Kill a 
Mockingbird” ?
(4) What is the theme of the novel “To Kill a 
Mockingbird”?
28. Jean Piaget believed that knowledge is :
(1) co-constructed in interactions with more 
knowledgeable others.
(2) a visible behavioural change that can be 
measured with reliability.
(3) constructed by the child rather than being 
passed passively from the environment.
(4) innate and given rather than acquired through 
interactions.
29. The Central argument of Carol Gilligan's critique of 
Kohlberg's theory of moral development is around :
(1) Use of experimental design in studying children
(2) Educational implications of the study for school 
going children.
(3) Ethics of care and the feminist perspective
(4) Overestimation of children’s moral abilities.
30. Assertion (A): The less able a child is to do a task the 
more directions the teachers should give and as the 
child can do more and more the teacher should help 
less and less.
 Reason (R): Intelligence cannot be accurately 
measured by calculating IQ.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
Mathematics and Science
Direction: Answer the following questions by selecting the 
correct/most appropriate options.
31. Three numbers are in the ratio 2 : 3 : 4 and the sum 
of their cubes is 33957. What is the sum of the three 
numbers?
(1) 72 (2) 81
(3) 54 (4) 63
32. Three consecutive integers are such that when they 
are taken in increasing order and multiplied by 3, 5 
and 2, respectively, they add up to 99. What is the 
sum of the original first and third integers?
(1) 20 (2) 24
(3) 16 (4) 18
33. A student listed the following properties of Rational 
Numbers. Which one/ones is/are correct?
(a) A rational number includes integers
(b) 0 (zero) is not a rational number
(c) All fractions are rational numbers
 Choose the correct option.
(1) Only (c) (2) (a) and (b)
(3) (a) and (c) (4) Only (b)
34. The area of the curved surface of a right circular 
cylinder is 4400 cm
2 
and the circumference of its 
base is 110 cm. Its volume (in m
3
) is : 
22
Use 
7
? ?
p=
? ?
? ?
(1) 0.0285 (2) 0.0382
(3) 0.0284 (4) 0.0385
35. In triangle, PQR, ?P = 55° and QR = 18 cm. In 
which of the following cases, DPQR can be an obtuse 
scalene triangle?
(1) ?R = 65° and PQ > 18 cm
(2) ?R = 35° and PR = 18 cm
(3) ?R = 25° and PQ = 18 cm
(4) ?R = 15° and PR > 18 cm
36. Concept was labelled as 'Schema' by:
(1) Bruner (2) Van Hieles
(3) Vygotsky (4) Piaget 
37. If 
34
12
,
33
x
y
--
-
? ? ??
= ÷
? ? ??
? ? ??
 then what is the value of 
1
?
x y
yx
-
??
+
??
??
(1) 
38
73
 (2) 
48
265
-
(3) 
3
16
- (4) 
19
48
38. If A = –2x
2 
+ 12x, B = 11 – 8x + 3x
2
, C = 17 – 4x
2 
and D = x
2 
– x – 3, then what is the sum of the co-
efficients of x
2 
and x in (A + B + C – D)?
(1) 1 (2) 3
(3) 0 (4) –1
39. BD is the diagonal of parallelogram ABCD such that 
?CBD = 12x, ?ABD = 7y, ?ADB = 60° and ?CDB 
= 28°. Then, the value of 2x + 3y is :
(1) 22° (2) 23°
(3) 20° (4) 21°
40. If x = 1.011 + 10.11 – 12.101 + 0.1011, then what 
should be added to x to get the sum as 1.1?
(1) 0.2211 (2) 1.1311
(3) 1.9789 (4) 0.3111
41. If a 8 - digit number 9 4 7 1 x 9 y 2 is divisible by 72, 
then which of the following statements is not true? 
(1) x = 9 and y = 5 (2) x = 3 and y = 1
(3) x = 8 and y = 5 (4) x = 4 and y = 9
42. One of the factors of p
3
x + p
2
(x – y) – p(y + z) – z is :
(1) p
2
x – py – z (2) p
2
x + py – z
(3) p
2
x – py + z (4) p
2
x + py + z
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Direction (1-30): Answer the following questions by 
selecting the correct/most appropriate options.
1. Dyslexia is a — condition which impacts learner’s 
ability to
(1) Physiological, socialize with peers
(2) sensory, Coordinate body movements
(3) emotional, draw pictures
(4) neurological, link sounds with symbols
2. Assertion (A): Learning from real-life problems and 
concrete experiences gives the children multiple 
pathways for learning and retrieving information.
 Reason (R): Development is relatively orderly and 
sequential.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
3. Asking Critical questions such as “how much and 
in what ways are various gender represented in 
textbooks and media” would encourage :
(1) Reinforcing gender identity 
(2) Discouraging gender role flexibility
(3) Questioning gender stereotypes
(4) Strengthening gender
4. Assertion (A): In an inclusive classroom, adaptations 
should be made in learning goals, pedagogical 
strategies as well as assessment,
 Reason (R) : The philosophy of inclusion advocates 
elimination of all individual differences through 
pedagogical approaches and assessment.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
5. A teacher notices that one of her students is highly 
distractable and has trouble paying attention during 
class. Which of the following strategies would is 
an effective strategy in helping the student stay 
focused?
(1) Giving a timer to student for self-regulation and 
time-management,
(2) Calling the parents and taking Strict disciplinary 
action against the student.
(3) Giving the student repeated tasks to do during 
class.
(4) Strictly telling the student to increase their 
attention span.
6. Assertion (A): Teachers should constantly reflecting 
their own stereotypes and bias,
 Reason (R): Culturally responsive teaching means 
that teachers are reflective.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
7. Which of the following process is essential in 
meaning making of the information received from 
environment and store it further in memory?
(1) Forgetting (2) Retrieval
(3) Attention (4) Decay
8. In which stage of Kohlberg's moral development do 
children's reasoning revolve around ethics of law?
(1) Heteronomous morality 
(2) Autonomous morality
(3) Pre-conventional morality 
(4) Conventional morality
9. Which of the following is a core principle of 
constructivist learning, not with their environment,
(1) Students construct their own knowledge 
through achieve engagement
(2) Learning is primarily a passive process that 
involves receiving and memorizing information.
(3) Teachers should provide direct instruction and 
explicit guidance to students.
(4) Learning occurs when students receive correct 
answer and feedback from teachers.
10. According to Vygotsky, what is the role of the teacher 
in facilitating cognitive development ?
(1) To allow the student to learn completely 
independently.
(2) To give only those tasks that the student can 
currently do independently,
(3) To provide information and knowledge to the 
student.
(4) To guide and support the student's learning 
through scaffolding.
11. Which of the following does not exemplify an 
inclusive Classroom ?
(1) Offering differentiated instruction
(2) Encouraging competitive ethos
(3) Incorporation of diverse perspectives
(4) Following reasonable accommodation
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
21st January, 2024
 
12. An elementary school teacher can strongly influence 
students’ development of academic self-concept by:
(1) Rewarding autonomy and initiative in students
(2) Keeping very low expectations from special 
students:
(3) Keeping very low expectation from all students
(4) Punishing autonomy and initiative in students
13. According to Lev-Vygotsky children benefit from the 
experience of interacting with _____ while working 
_____ their zone of proximal development.
(1) the physical environment; within
(2) the physical environment; just outside
(3) more knowledgeable others; within
(4) more knowledgeable others, just outside
14. Assertion (A): There is no objectively definable 
moment when a child enters middle childhood and 
adolescence.
 Reason (R): Development is continuous in nature.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
15. In a progressive classroom assessment is :
(1) Summative  (2) Normative
(3) Dynamic  (4) Objective
16. In order to address the individual differences 
among, learners, a teacher should :
(1) consider differences as obvious feature of human 
diversity
(2) implement a rigid and uniform curriculum for 
all learners
(3) acknowledge differences as abnormal and kind 
of deficit
(4) be indifferent towards individual differences
17. Alok shows the following behaviours: Holds head 
in an awkward position when reading; squinting 
and rubbing the eye frequently; redness/swelling of 
eyes; Confusing letters. These can be symptoms of 
potential : 
(1) Autistic spectrum disorder 
(2) Communication disorder
(3) Visual problems 
(4) Language comprehension problems
18. Which of the following describes a mastery goal 
orientation ?
(1) focus on achieving a high grade for receiving 
external rewards,
(2) focus on avoiding failure or punishment for fear 
of humiliation.
(3) focus on achieving a certain level of performance 
for competing with others.
(4) focus on improving ones skills and understanding 
of a task.
19. According to Jean Piaget the ability to use symbols 
for symbols such as letting the letter X stand for an 
unknown numeral develops during and enables the 
children to learn.
(1) formal operational stage; algebra and calculus
(2) formal operational stage; conservation and 
seriation
(3) concrete operational stage; algebra and calculus
(4) concrete operational stage; conservation and 
seriation
20. Assertion (A): Students are more likely to do well 
and stay in school if they have emotional attachment 
to their school and believe that they matter.
 Reason (R) : Emotions play a significant role in 
learning
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
21. Which of the following best describes the role of the 
teacher in progressive education ?
(1) The teacher is responsible for ensuring strict 
adherence to curriculum standards.
(2) The teacher gets the children learn independently 
and does not interfere in their learning.
(3) The teacher is the primary source of knowledge 
and authority in the classroom.
(4) The teacher provides diverse materials for 
children to experiment and provides scaffolding 
as and when required.
23. Which of the following statement about adolescence 
is not correct?
(a) It is a linear process. 
(b) It is a complex process.
(c) It is a multidimensional process. 
(d) It takes place uniquely in different cultures,
(1) (b), (c), (d) (2) (a), (b), (c), (d)
(3) (a), (b) (4) (b), (c)
23. Which of the following statement adolescence is not 
correct ?
(1) Adolescence is development transition between 
childhood and adulthood entailing physical, 
cognitive and psychosocial changes. 
(2) Children across different cultures usher in and 
experience adolescence in a similar manner.
(3) Adolescence is a social construction.
(4) Adolescence is generally considered to begin 
with puberty - the process that leads to sexual 
maturity and the ability to reproduce.
24. Work in progress Portfolios are an effective tool for 
formative assessment because :
(1) They involve students in the process of 
assessment
(2) They offer insights about the progress of 
individual students.
(3) They focus mainly in the presentation of the 
final product.
(4) They offer tangible evidence of student learning.
25. A middle school teacher wants to enable meaningful 
learning by helping students make corrections 
between concepts and real-world applications. 
Which of the following activities would be an 
appropriate pedagogical strategy?
(1) Let the students learn by the method of stimulus-
response conditioning.
  
(2)  Let the students research on a current issue in 
small groups and present their findings to the 
class.
(3) Let the students memorize terms and definitions.
(4)  Let the students complete worksheets with 
multiple choice questions.
26. Sujata participates eagerly in the dance competition 
only because she is interested in winning the first 
prize of cash. Sujata is :
(1) Mastery-Oriented learner 
(2) Failure-avoiding learner
(3) Intrinsically motivated 
(4) Extrinsically motivated
27. Which of the following is an example of a question 
that requires students to analyze information ?
(1) How does the author use symbolism in “T o Kill a 
Mockingbird”?
(2) Who is the protagonist of “T o Kill a Mockingbird”?
(3) What is the plot of the novel “To Kill a 
Mockingbird” ?
(4) What is the theme of the novel “To Kill a 
Mockingbird”?
28. Jean Piaget believed that knowledge is :
(1) co-constructed in interactions with more 
knowledgeable others.
(2) a visible behavioural change that can be 
measured with reliability.
(3) constructed by the child rather than being 
passed passively from the environment.
(4) innate and given rather than acquired through 
interactions.
29. The Central argument of Carol Gilligan's critique of 
Kohlberg's theory of moral development is around :
(1) Use of experimental design in studying children
(2) Educational implications of the study for school 
going children.
(3) Ethics of care and the feminist perspective
(4) Overestimation of children’s moral abilities.
30. Assertion (A): The less able a child is to do a task the 
more directions the teachers should give and as the 
child can do more and more the teacher should help 
less and less.
 Reason (R): Intelligence cannot be accurately 
measured by calculating IQ.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
Mathematics and Science
Direction: Answer the following questions by selecting the 
correct/most appropriate options.
31. Three numbers are in the ratio 2 : 3 : 4 and the sum 
of their cubes is 33957. What is the sum of the three 
numbers?
(1) 72 (2) 81
(3) 54 (4) 63
32. Three consecutive integers are such that when they 
are taken in increasing order and multiplied by 3, 5 
and 2, respectively, they add up to 99. What is the 
sum of the original first and third integers?
(1) 20 (2) 24
(3) 16 (4) 18
33. A student listed the following properties of Rational 
Numbers. Which one/ones is/are correct?
(a) A rational number includes integers
(b) 0 (zero) is not a rational number
(c) All fractions are rational numbers
 Choose the correct option.
(1) Only (c) (2) (a) and (b)
(3) (a) and (c) (4) Only (b)
34. The area of the curved surface of a right circular 
cylinder is 4400 cm
2 
and the circumference of its 
base is 110 cm. Its volume (in m
3
) is : 
22
Use 
7
? ?
p=
? ?
? ?
(1) 0.0285 (2) 0.0382
(3) 0.0284 (4) 0.0385
35. In triangle, PQR, ?P = 55° and QR = 18 cm. In 
which of the following cases, DPQR can be an obtuse 
scalene triangle?
(1) ?R = 65° and PQ > 18 cm
(2) ?R = 35° and PR = 18 cm
(3) ?R = 25° and PQ = 18 cm
(4) ?R = 15° and PR > 18 cm
36. Concept was labelled as 'Schema' by:
(1) Bruner (2) Van Hieles
(3) Vygotsky (4) Piaget 
37. If 
34
12
,
33
x
y
--
-
? ? ??
= ÷
? ? ??
? ? ??
 then what is the value of 
1
?
x y
yx
-
??
+
??
??
(1) 
38
73
 (2) 
48
265
-
(3) 
3
16
- (4) 
19
48
38. If A = –2x
2 
+ 12x, B = 11 – 8x + 3x
2
, C = 17 – 4x
2 
and D = x
2 
– x – 3, then what is the sum of the co-
efficients of x
2 
and x in (A + B + C – D)?
(1) 1 (2) 3
(3) 0 (4) –1
39. BD is the diagonal of parallelogram ABCD such that 
?CBD = 12x, ?ABD = 7y, ?ADB = 60° and ?CDB 
= 28°. Then, the value of 2x + 3y is :
(1) 22° (2) 23°
(3) 20° (4) 21°
40. If x = 1.011 + 10.11 – 12.101 + 0.1011, then what 
should be added to x to get the sum as 1.1?
(1) 0.2211 (2) 1.1311
(3) 1.9789 (4) 0.3111
41. If a 8 - digit number 9 4 7 1 x 9 y 2 is divisible by 72, 
then which of the following statements is not true? 
(1) x = 9 and y = 5 (2) x = 3 and y = 1
(3) x = 8 and y = 5 (4) x = 4 and y = 9
42. One of the factors of p
3
x + p
2
(x – y) – p(y + z) – z is :
(1) p
2
x – py – z (2) p
2
x + py – z
(3) p
2
x – py + z (4) p
2
x + py + z
 
43. If the median of the data 30, 8, 7, 3, 17, 15, 21, 24, 
29, 23 is x and the median of the data obtained by 
replacing 3 by 33 and 8 by 18 in the above data is y, 
then what is the difference between y and x?
(1) 3 (2) 4
(3) 1 (4) 2
44. A middle school mathematics teacher poses the 
following question to her class.
(a) The height of participants in an athletics meet
(b) The number of passengers boarding trains from 
9:00 am to 9:00 pm at a stration".
The intention of the teacher is to-
(1) Teach line graph through contextual situations
(2) T each the use of historams for data representation
(3) Help learners to understand the difference 
between bar graph and line graph
(4) Introduce the concept of pie charts.
45. In triangles ABC and DEF; ?B = 90°, BC = 8 cm, ?A 
= 40°, DE = 8 cm, ?F = 40° and ?E = 90°. Then, 
which of the following statements is true?
(1) DABC ? DDEF , by AAS
(2) DABC ? DFED, by AAS
(3) DABC ? DDEF , by RHS
(4) DABC ? DFED, by RHS
46. The lengths of the parallel sides of a trapezium are 
11 cm and 25 cm and the distance between them is 
12 cm. Its area is equal to the area of a rectangle 
whose sides are in the ratio 3 : 2. What is the 
perimeter (in cm) of the rectangle?
(1) 60 (2) 70
(3) 40 (4) 50
47. A class VI mathematics teacher posed the following 
problem to her students:
 "In a morning walk, three persons started together. 
Their steps measure 70 cm, 85 cm and 95 cm respec-
tively. What is the minimum distance each should 
walk so that all can cover the same distance in com-
plete steps?"
 Which of the following concepts would be required 
to solve the given problem?
(1) Concept of division (2) Concept of proportion
(3) Concept of HCF (4) Concept of LCM
48. National Education Policy (NEP) 2020 recommends 
that Sports Integrated Pedagogy needs to be used 
in classroom teaching. Which among the following 
are correct in the context of using sports integrated 
pedagogy in mathematics classroom?
(a) Teaching-learning process shall become joyful
(b) It is not possible to use sports for teaching 
mathematics
(c) It will be time consuming and hence needs to be 
avoided
(d) Apart from popular sports, there are many 
indigenous sports which can be used in teaching 
mathematics.
 Choose the correct option.
(1) (a) and (d) (2) (b), (c) and (d)
(3) (a) and (c) (4) (b) and (c)
49. The difference between two supplementary angles 
is 20°. If the smaller of these angles is p, then the 
value of 3p – 50° is :
(1) 250° (2) 190°
(3) 310° (4) 270°
50. Teacher conducted an oral assessment in class and 
found that Ram can speak definition of all types 
of numbers-odd, even, prime, and composite 
accurately, but not able to identify the numbers 
accurately when given a set of numbers.
 Which of the following is most appropriate for the 
above situation?
(1) Ram has good memory but lacks conceptual 
understanding
(2) Ram has analytical ability
(3) Ram has good memory but lacks practice
(4) Ram has good memory but lacks concentration.
51. Mathematics is a way of thinking since:
(a) It provides an opportunity for students to 
engage in proofs and examining patterns.
(b) Students reproduce formulae and symbols 
during probem solving
(c) Students use appropriate strategies for solving 
various new problems
 Choose the correct option.
(1) (a) and (c) (2) Only (b)
(3) (a) and (b) (4) (b) and (c)
52. x varies inversely as y. When x = 3.5, then y = 2.4. 
What is the value of y when x = 5.6?
(1) 2.1 (2) 2.8
(3) 1.4 (4) 1.5
53. The following table shows the number of different 
fruits kept in a carton:
T ypes of 
fruits
Mangoes Apples Oranges Guavas Pome- 
granates
Number 44 56 42 30 38
 If a pie chart is constructed for the above data, what 
will be the angle of the sector representing apples?
(1) 96° (2) 100.8°
(3) 79.2° (4) 72°
54. A shopkeeper sells an article for ` 324 after giving a 
discount of 28% on its marked price. The cost price 
of the article is ` 300. If he sells the article by giving 
18% discount on its same marked price, then what 
will be his profit percent?
(1) 23% (2) 24%
(3) 10% (4) 19%
55. The product of two rational numbers is 
40
.
3
-
 If one 
of the two numbers is 
5
,
2
- then the reciprocal of 
the other number lies between:
(1) 
11
 and 
54
 (2) 
11
 and 
43
(3) 
39
 and 
20 50
 (4) 
91
 and 
50 5
56. The number of vertices (V), edges (E) and faces (F) 
of a polyhedron are respectively 10, 15 and x. Then 
the value of (3x – 12) is :
(1) 14 (2) 18
(3) 7 (4) 9
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Direction (1-30): Answer the following questions by 
selecting the correct/most appropriate options.
1. Dyslexia is a — condition which impacts learner’s 
ability to
(1) Physiological, socialize with peers
(2) sensory, Coordinate body movements
(3) emotional, draw pictures
(4) neurological, link sounds with symbols
2. Assertion (A): Learning from real-life problems and 
concrete experiences gives the children multiple 
pathways for learning and retrieving information.
 Reason (R): Development is relatively orderly and 
sequential.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
3. Asking Critical questions such as “how much and 
in what ways are various gender represented in 
textbooks and media” would encourage :
(1) Reinforcing gender identity 
(2) Discouraging gender role flexibility
(3) Questioning gender stereotypes
(4) Strengthening gender
4. Assertion (A): In an inclusive classroom, adaptations 
should be made in learning goals, pedagogical 
strategies as well as assessment,
 Reason (R) : The philosophy of inclusion advocates 
elimination of all individual differences through 
pedagogical approaches and assessment.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
5. A teacher notices that one of her students is highly 
distractable and has trouble paying attention during 
class. Which of the following strategies would is 
an effective strategy in helping the student stay 
focused?
(1) Giving a timer to student for self-regulation and 
time-management,
(2) Calling the parents and taking Strict disciplinary 
action against the student.
(3) Giving the student repeated tasks to do during 
class.
(4) Strictly telling the student to increase their 
attention span.
6. Assertion (A): Teachers should constantly reflecting 
their own stereotypes and bias,
 Reason (R): Culturally responsive teaching means 
that teachers are reflective.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
7. Which of the following process is essential in 
meaning making of the information received from 
environment and store it further in memory?
(1) Forgetting (2) Retrieval
(3) Attention (4) Decay
8. In which stage of Kohlberg's moral development do 
children's reasoning revolve around ethics of law?
(1) Heteronomous morality 
(2) Autonomous morality
(3) Pre-conventional morality 
(4) Conventional morality
9. Which of the following is a core principle of 
constructivist learning, not with their environment,
(1) Students construct their own knowledge 
through achieve engagement
(2) Learning is primarily a passive process that 
involves receiving and memorizing information.
(3) Teachers should provide direct instruction and 
explicit guidance to students.
(4) Learning occurs when students receive correct 
answer and feedback from teachers.
10. According to Vygotsky, what is the role of the teacher 
in facilitating cognitive development ?
(1) To allow the student to learn completely 
independently.
(2) To give only those tasks that the student can 
currently do independently,
(3) To provide information and knowledge to the 
student.
(4) To guide and support the student's learning 
through scaffolding.
11. Which of the following does not exemplify an 
inclusive Classroom ?
(1) Offering differentiated instruction
(2) Encouraging competitive ethos
(3) Incorporation of diverse perspectives
(4) Following reasonable accommodation
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
21st January, 2024
 
12. An elementary school teacher can strongly influence 
students’ development of academic self-concept by:
(1) Rewarding autonomy and initiative in students
(2) Keeping very low expectations from special 
students:
(3) Keeping very low expectation from all students
(4) Punishing autonomy and initiative in students
13. According to Lev-Vygotsky children benefit from the 
experience of interacting with _____ while working 
_____ their zone of proximal development.
(1) the physical environment; within
(2) the physical environment; just outside
(3) more knowledgeable others; within
(4) more knowledgeable others, just outside
14. Assertion (A): There is no objectively definable 
moment when a child enters middle childhood and 
adolescence.
 Reason (R): Development is continuous in nature.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
15. In a progressive classroom assessment is :
(1) Summative  (2) Normative
(3) Dynamic  (4) Objective
16. In order to address the individual differences 
among, learners, a teacher should :
(1) consider differences as obvious feature of human 
diversity
(2) implement a rigid and uniform curriculum for 
all learners
(3) acknowledge differences as abnormal and kind 
of deficit
(4) be indifferent towards individual differences
17. Alok shows the following behaviours: Holds head 
in an awkward position when reading; squinting 
and rubbing the eye frequently; redness/swelling of 
eyes; Confusing letters. These can be symptoms of 
potential : 
(1) Autistic spectrum disorder 
(2) Communication disorder
(3) Visual problems 
(4) Language comprehension problems
18. Which of the following describes a mastery goal 
orientation ?
(1) focus on achieving a high grade for receiving 
external rewards,
(2) focus on avoiding failure or punishment for fear 
of humiliation.
(3) focus on achieving a certain level of performance 
for competing with others.
(4) focus on improving ones skills and understanding 
of a task.
19. According to Jean Piaget the ability to use symbols 
for symbols such as letting the letter X stand for an 
unknown numeral develops during and enables the 
children to learn.
(1) formal operational stage; algebra and calculus
(2) formal operational stage; conservation and 
seriation
(3) concrete operational stage; algebra and calculus
(4) concrete operational stage; conservation and 
seriation
20. Assertion (A): Students are more likely to do well 
and stay in school if they have emotional attachment 
to their school and believe that they matter.
 Reason (R) : Emotions play a significant role in 
learning
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
21. Which of the following best describes the role of the 
teacher in progressive education ?
(1) The teacher is responsible for ensuring strict 
adherence to curriculum standards.
(2) The teacher gets the children learn independently 
and does not interfere in their learning.
(3) The teacher is the primary source of knowledge 
and authority in the classroom.
(4) The teacher provides diverse materials for 
children to experiment and provides scaffolding 
as and when required.
23. Which of the following statement about adolescence 
is not correct?
(a) It is a linear process. 
(b) It is a complex process.
(c) It is a multidimensional process. 
(d) It takes place uniquely in different cultures,
(1) (b), (c), (d) (2) (a), (b), (c), (d)
(3) (a), (b) (4) (b), (c)
23. Which of the following statement adolescence is not 
correct ?
(1) Adolescence is development transition between 
childhood and adulthood entailing physical, 
cognitive and psychosocial changes. 
(2) Children across different cultures usher in and 
experience adolescence in a similar manner.
(3) Adolescence is a social construction.
(4) Adolescence is generally considered to begin 
with puberty - the process that leads to sexual 
maturity and the ability to reproduce.
24. Work in progress Portfolios are an effective tool for 
formative assessment because :
(1) They involve students in the process of 
assessment
(2) They offer insights about the progress of 
individual students.
(3) They focus mainly in the presentation of the 
final product.
(4) They offer tangible evidence of student learning.
25. A middle school teacher wants to enable meaningful 
learning by helping students make corrections 
between concepts and real-world applications. 
Which of the following activities would be an 
appropriate pedagogical strategy?
(1) Let the students learn by the method of stimulus-
response conditioning.
  
(2)  Let the students research on a current issue in 
small groups and present their findings to the 
class.
(3) Let the students memorize terms and definitions.
(4)  Let the students complete worksheets with 
multiple choice questions.
26. Sujata participates eagerly in the dance competition 
only because she is interested in winning the first 
prize of cash. Sujata is :
(1) Mastery-Oriented learner 
(2) Failure-avoiding learner
(3) Intrinsically motivated 
(4) Extrinsically motivated
27. Which of the following is an example of a question 
that requires students to analyze information ?
(1) How does the author use symbolism in “T o Kill a 
Mockingbird”?
(2) Who is the protagonist of “T o Kill a Mockingbird”?
(3) What is the plot of the novel “To Kill a 
Mockingbird” ?
(4) What is the theme of the novel “To Kill a 
Mockingbird”?
28. Jean Piaget believed that knowledge is :
(1) co-constructed in interactions with more 
knowledgeable others.
(2) a visible behavioural change that can be 
measured with reliability.
(3) constructed by the child rather than being 
passed passively from the environment.
(4) innate and given rather than acquired through 
interactions.
29. The Central argument of Carol Gilligan's critique of 
Kohlberg's theory of moral development is around :
(1) Use of experimental design in studying children
(2) Educational implications of the study for school 
going children.
(3) Ethics of care and the feminist perspective
(4) Overestimation of children’s moral abilities.
30. Assertion (A): The less able a child is to do a task the 
more directions the teachers should give and as the 
child can do more and more the teacher should help 
less and less.
 Reason (R): Intelligence cannot be accurately 
measured by calculating IQ.
 Choose the correct option.
(1) (A) is true but (R) is false.
(2) Both (A) and (R) are false.
(3) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(4) Both (A) and (R) are true but (R) is not the correct 
explanation of (A).
Mathematics and Science
Direction: Answer the following questions by selecting the 
correct/most appropriate options.
31. Three numbers are in the ratio 2 : 3 : 4 and the sum 
of their cubes is 33957. What is the sum of the three 
numbers?
(1) 72 (2) 81
(3) 54 (4) 63
32. Three consecutive integers are such that when they 
are taken in increasing order and multiplied by 3, 5 
and 2, respectively, they add up to 99. What is the 
sum of the original first and third integers?
(1) 20 (2) 24
(3) 16 (4) 18
33. A student listed the following properties of Rational 
Numbers. Which one/ones is/are correct?
(a) A rational number includes integers
(b) 0 (zero) is not a rational number
(c) All fractions are rational numbers
 Choose the correct option.
(1) Only (c) (2) (a) and (b)
(3) (a) and (c) (4) Only (b)
34. The area of the curved surface of a right circular 
cylinder is 4400 cm
2 
and the circumference of its 
base is 110 cm. Its volume (in m
3
) is : 
22
Use 
7
? ?
p=
? ?
? ?
(1) 0.0285 (2) 0.0382
(3) 0.0284 (4) 0.0385
35. In triangle, PQR, ?P = 55° and QR = 18 cm. In 
which of the following cases, DPQR can be an obtuse 
scalene triangle?
(1) ?R = 65° and PQ > 18 cm
(2) ?R = 35° and PR = 18 cm
(3) ?R = 25° and PQ = 18 cm
(4) ?R = 15° and PR > 18 cm
36. Concept was labelled as 'Schema' by:
(1) Bruner (2) Van Hieles
(3) Vygotsky (4) Piaget 
37. If 
34
12
,
33
x
y
--
-
? ? ??
= ÷
? ? ??
? ? ??
 then what is the value of 
1
?
x y
yx
-
??
+
??
??
(1) 
38
73
 (2) 
48
265
-
(3) 
3
16
- (4) 
19
48
38. If A = –2x
2 
+ 12x, B = 11 – 8x + 3x
2
, C = 17 – 4x
2 
and D = x
2 
– x – 3, then what is the sum of the co-
efficients of x
2 
and x in (A + B + C – D)?
(1) 1 (2) 3
(3) 0 (4) –1
39. BD is the diagonal of parallelogram ABCD such that 
?CBD = 12x, ?ABD = 7y, ?ADB = 60° and ?CDB 
= 28°. Then, the value of 2x + 3y is :
(1) 22° (2) 23°
(3) 20° (4) 21°
40. If x = 1.011 + 10.11 – 12.101 + 0.1011, then what 
should be added to x to get the sum as 1.1?
(1) 0.2211 (2) 1.1311
(3) 1.9789 (4) 0.3111
41. If a 8 - digit number 9 4 7 1 x 9 y 2 is divisible by 72, 
then which of the following statements is not true? 
(1) x = 9 and y = 5 (2) x = 3 and y = 1
(3) x = 8 and y = 5 (4) x = 4 and y = 9
42. One of the factors of p
3
x + p
2
(x – y) – p(y + z) – z is :
(1) p
2
x – py – z (2) p
2
x + py – z
(3) p
2
x – py + z (4) p
2
x + py + z
 
43. If the median of the data 30, 8, 7, 3, 17, 15, 21, 24, 
29, 23 is x and the median of the data obtained by 
replacing 3 by 33 and 8 by 18 in the above data is y, 
then what is the difference between y and x?
(1) 3 (2) 4
(3) 1 (4) 2
44. A middle school mathematics teacher poses the 
following question to her class.
(a) The height of participants in an athletics meet
(b) The number of passengers boarding trains from 
9:00 am to 9:00 pm at a stration".
The intention of the teacher is to-
(1) Teach line graph through contextual situations
(2) T each the use of historams for data representation
(3) Help learners to understand the difference 
between bar graph and line graph
(4) Introduce the concept of pie charts.
45. In triangles ABC and DEF; ?B = 90°, BC = 8 cm, ?A 
= 40°, DE = 8 cm, ?F = 40° and ?E = 90°. Then, 
which of the following statements is true?
(1) DABC ? DDEF , by AAS
(2) DABC ? DFED, by AAS
(3) DABC ? DDEF , by RHS
(4) DABC ? DFED, by RHS
46. The lengths of the parallel sides of a trapezium are 
11 cm and 25 cm and the distance between them is 
12 cm. Its area is equal to the area of a rectangle 
whose sides are in the ratio 3 : 2. What is the 
perimeter (in cm) of the rectangle?
(1) 60 (2) 70
(3) 40 (4) 50
47. A class VI mathematics teacher posed the following 
problem to her students:
 "In a morning walk, three persons started together. 
Their steps measure 70 cm, 85 cm and 95 cm respec-
tively. What is the minimum distance each should 
walk so that all can cover the same distance in com-
plete steps?"
 Which of the following concepts would be required 
to solve the given problem?
(1) Concept of division (2) Concept of proportion
(3) Concept of HCF (4) Concept of LCM
48. National Education Policy (NEP) 2020 recommends 
that Sports Integrated Pedagogy needs to be used 
in classroom teaching. Which among the following 
are correct in the context of using sports integrated 
pedagogy in mathematics classroom?
(a) Teaching-learning process shall become joyful
(b) It is not possible to use sports for teaching 
mathematics
(c) It will be time consuming and hence needs to be 
avoided
(d) Apart from popular sports, there are many 
indigenous sports which can be used in teaching 
mathematics.
 Choose the correct option.
(1) (a) and (d) (2) (b), (c) and (d)
(3) (a) and (c) (4) (b) and (c)
49. The difference between two supplementary angles 
is 20°. If the smaller of these angles is p, then the 
value of 3p – 50° is :
(1) 250° (2) 190°
(3) 310° (4) 270°
50. Teacher conducted an oral assessment in class and 
found that Ram can speak definition of all types 
of numbers-odd, even, prime, and composite 
accurately, but not able to identify the numbers 
accurately when given a set of numbers.
 Which of the following is most appropriate for the 
above situation?
(1) Ram has good memory but lacks conceptual 
understanding
(2) Ram has analytical ability
(3) Ram has good memory but lacks practice
(4) Ram has good memory but lacks concentration.
51. Mathematics is a way of thinking since:
(a) It provides an opportunity for students to 
engage in proofs and examining patterns.
(b) Students reproduce formulae and symbols 
during probem solving
(c) Students use appropriate strategies for solving 
various new problems
 Choose the correct option.
(1) (a) and (c) (2) Only (b)
(3) (a) and (b) (4) (b) and (c)
52. x varies inversely as y. When x = 3.5, then y = 2.4. 
What is the value of y when x = 5.6?
(1) 2.1 (2) 2.8
(3) 1.4 (4) 1.5
53. The following table shows the number of different 
fruits kept in a carton:
T ypes of 
fruits
Mangoes Apples Oranges Guavas Pome- 
granates
Number 44 56 42 30 38
 If a pie chart is constructed for the above data, what 
will be the angle of the sector representing apples?
(1) 96° (2) 100.8°
(3) 79.2° (4) 72°
54. A shopkeeper sells an article for ` 324 after giving a 
discount of 28% on its marked price. The cost price 
of the article is ` 300. If he sells the article by giving 
18% discount on its same marked price, then what 
will be his profit percent?
(1) 23% (2) 24%
(3) 10% (4) 19%
55. The product of two rational numbers is 
40
.
3
-
 If one 
of the two numbers is 
5
,
2
- then the reciprocal of 
the other number lies between:
(1) 
11
 and 
54
 (2) 
11
 and 
43
(3) 
39
 and 
20 50
 (4) 
91
 and 
50 5
56. The number of vertices (V), edges (E) and faces (F) 
of a polyhedron are respectively 10, 15 and x. Then 
the value of (3x – 12) is :
(1) 14 (2) 18
(3) 7 (4) 9
  
57. A student was given the following problem on 
percentage to solve.
 "Find the percentage of decrease if the population of 
a city decreased from 28,000 to 26,500."
 She wrote the following solution.
 Original population = 28,000; New population = 
26,500
 % decrease = 
26, 500
100 94.6%
28,000
×=
 Which of the following is most appropriate with 
respect ot the response of the student?
(1) Student does not know the concept of 
percentage.
(2) Student has made a careless mistake
(3) Student is able to understand the concept 
of percentage but is not able to understand 
percentage of which quantity is to be found.
(4) Student has solved the question correctly but 
had used wrong symbols in solution.
58. A box opened at the top is made of wood of 
thickness 3 cm. Its external length, breadth and 
height are respectively 1.48 m, 1.16 m and 83 cm 
(base = length × breadth). What will be the cost of 
painting its inner surface at ` 150 per m
2
?
(1) ` 841.40 (2) ` 842.50
(3) ` 838.20 (4) ` 839.10
59. Which among the following Learning-Teaching 
Resources (LTRs) are most appropriate for visually 
challenged students in mathematics classroom?
(a) Geogebra (b) Taylor's abacus
(c) Computer (d) Spreadsheet
 Choose the correct option.
(1) (b) and (c) (2) (b), (c) and (d)
(3) (a) and (b) (4) (c) and (d)
60. Which of the following is not a dimension of 
assessment of mathematics learning?
(1) Disposition towards mathematics
(2) Mathematical reasoning
(3) Communication
(4) Patterns and procedures
61. Which is the following is NOT indicative of the 
hypothesising skill?
(1) Using the senses to gather information
(2) Identifying variables for an experiment
(3) Formulating questions which lead to inquiry
(4) Attempting to explain observations or relation-
ships in terms of some principle
62. Identify the correct statement(s):
(a) A fact is observation that has repeatedly been 
found to be true over the time.
(b)  A law is a theory that has repeatedly been found 
to be true over the time. 
(1) Only (b) (2) Neither (a) nor (b)
(3) Only (a) (4) (a) and (b)
63. Which of the following plant disease(s) are caused 
by bacteria?
(a) Rust of wheat
(b) Citrus canker
(c) Yellow vein mosaic of bhindi
(1) (b) and (c) (2) Only (c)
(3) (a) and (b) (4) Only (b)
64. A teacher, while teaching the chapter 'Body Move-
ments' to class VI students shows the following im-
ages to her students:
 A sailing boat, swimming fish and a flying aeroplane. 
She then asks the students to reflect on the shape of 
the images and the manner of movement. Which of 
the following are likely to be employed by students 
in answering?
(a) Classifying (b) Observing
(c) Inductive reasoning (d) Measuring
(1) (c) and (d) (2) (a) and (d)
(3) (a) and (b) (4) (b) and (c)
65. Match the substances with the categories mentioned.
Column A Column B
A. Slaked lime (i) Calcium oxide
B. Table salt (ii) Sodium bicarbonate
C. Limestone (iii) Calcium carbonate
D. Caustic soda (iv) Calcium hydroxide
E. Quick lime (v) Sodium hydroxide
F. Baking soda (vi) Sodium chloride
 Choose the correct option.
(1) A-(i), B-(vi), C-(iii), D-(v), (E)-(ii), F-(iv)
(2) A-(iv), B-(v), C-(iii), D-(ii), (E)-(i), F-(vi)
(3) A-(iv), B-(vi), C-(iii), D-(v), (E)-(i), F-(ii)
(4) A-(vi), B-(ii), C-(v), D-(i), (E)-(iii), F-(iv)
66. Read the following text:
 When a negatively charged rod is brought near an 
uncharged electroscope.
(a) the electroscope leaves move further apart
(b) both the electroscope leaves acquire similar 
charge
(c) the negative charges pass on to the electroscope 
causing its leaves to move further apart of the 
aobve three statements:
(1) (a), (b) and (c) are observations
(2) (a), (b) and (c) are inferences
(3) (a) is an observation while (b) and (c) are 
inferences
(4) (a) and (b) are observations and (c) is an 
inference.
67. Read the following statements and choose the 
correct option.
 Assertion (A): The stars in the night sky appear to 
move from east to west.
 Reason (R): The earth rotates from west to east.
(1) (A) is correct but (R) is incorrect.
(2) (A) and (R) are both incorrect.
(3) (A) and (R) are both correct and (R) is the correct 
explanation of (A).
(4) (A) and (R) are both correct but (R) is not the 
correct explanation of (A).
68. A box of mass 500 g is lying on a horizontal table. 
Which of the following statements is true regarding 
the force(s) acting on it? [g = 10 m/s
2
]
(1) A pair of balanced forces acts on it
(2) An unbalanced force of 5 N acts on it in the 
upward direction
(3) No force acts on it
(4) An unbalanced force of 5 N acts on it in 
downward direction