CTET Solved Question Paper - 2 (17 Jan - 2023) | CTET (Central Teacher Eligibility Test) Mock Test Series 2024 - CTET & State TET PDF Download

 Page 1


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Which of the following statements is correct about 
development ?
(1) Development is uniform
(2) Development is entirely unpredictable
(3) There are individual differences in development
(4) Development proceeds from specific to general
2. Assertion (A) : Provision of mid-may meals in 
schools can ensure better nutritional health of the 
students.
 Reason (R) : Environmental factors do not play 
any role in shaping an individual since growth is 
determined only by heredity.
 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.
3. As an agency of secondary socialization the primary 
function of the school is to :
(1) Cut the child off from the home.
(2) Undo the learning children had at home.
(3) Contradict the learnings acquired by the child in 
the family.
(4) Be an extension of the family and build upon the 
things child is familiar with.
4. In Jean piaget's theory ................ is said to occur 
when a child perceives new objects or events in 
terms of existing schemas :
(1) Assimilation (2) Organization
(3) Metacognition (4) Scaffolding
5. Despite their abilities to solve different kinds 
of problems .......... children still cannot think 
hypothetically.
(1) Sensori-motor (2) Concrete operational
(3) Pre-operational (4) Formal operational
6. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) Focus on how cultural factors and gender 
influences moral development
(2) Good or bad is determined by the consequences 
of obeying or disobeying rules
(3) The individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions.
(4) Self-chosen ethical principles that are universal
7. A teacher believing in Vygoysky's sociao-cultural 
theory should :
(1) Discourage interaction and dialogue among 
students
(2) Provide appropriate scaffolding to students as 
and when required
(3) Offer rewards and punishment to students 
regulating their behaviour
(4) Enable students to from association between 
stimulus and response
8. In Lev Vygotsky's theory, knowledge is co-
constructed by the child and the adult .............. the 
zone of proximal development.
(1) Outside (2) Within
(3) Beneath (4) Ahead of
9. Which of the following is NOT included in a 
progressive and child-centered education ?
(1) Use of digital technology and teaching-learning 
materials
(2) Emphasis learning from activities, experiences, 
and playful exploratory manner
(3) Emphasis only on course completion with 
structured curriculum
(4) Active participation of students with democratic 
and free expression
10. Measurement of intelligence by calculating 
Intelligence Quotient (IQ) through use of 
standardized tests is problematic because -
(1) are not Culturally fair
(2) give only qualitative analysis
(3) measure intelligence comprehensively
(4) account for individual differences
11. Assertion (A) : T eachers should not create print-rich 
environment in the elementary classrooms.
 Reason (R) : Development of language is inborn 
ability.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(2) Both (A) and (R) 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.
12. Assertion (A) : Boys and Girls learn to behave 
in 'Gender appropriate' ways by observing and 
limitating same-sex adults.
 Reason (R) : Gender is a purely biological construct.
 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 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)
17th January, 2023
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Which of the following statements is correct about 
development ?
(1) Development is uniform
(2) Development is entirely unpredictable
(3) There are individual differences in development
(4) Development proceeds from specific to general
2. Assertion (A) : Provision of mid-may meals in 
schools can ensure better nutritional health of the 
students.
 Reason (R) : Environmental factors do not play 
any role in shaping an individual since growth is 
determined only by heredity.
 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.
3. As an agency of secondary socialization the primary 
function of the school is to :
(1) Cut the child off from the home.
(2) Undo the learning children had at home.
(3) Contradict the learnings acquired by the child in 
the family.
(4) Be an extension of the family and build upon the 
things child is familiar with.
4. In Jean piaget's theory ................ is said to occur 
when a child perceives new objects or events in 
terms of existing schemas :
(1) Assimilation (2) Organization
(3) Metacognition (4) Scaffolding
5. Despite their abilities to solve different kinds 
of problems .......... children still cannot think 
hypothetically.
(1) Sensori-motor (2) Concrete operational
(3) Pre-operational (4) Formal operational
6. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) Focus on how cultural factors and gender 
influences moral development
(2) Good or bad is determined by the consequences 
of obeying or disobeying rules
(3) The individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions.
(4) Self-chosen ethical principles that are universal
7. A teacher believing in Vygoysky's sociao-cultural 
theory should :
(1) Discourage interaction and dialogue among 
students
(2) Provide appropriate scaffolding to students as 
and when required
(3) Offer rewards and punishment to students 
regulating their behaviour
(4) Enable students to from association between 
stimulus and response
8. In Lev Vygotsky's theory, knowledge is co-
constructed by the child and the adult .............. the 
zone of proximal development.
(1) Outside (2) Within
(3) Beneath (4) Ahead of
9. Which of the following is NOT included in a 
progressive and child-centered education ?
(1) Use of digital technology and teaching-learning 
materials
(2) Emphasis learning from activities, experiences, 
and playful exploratory manner
(3) Emphasis only on course completion with 
structured curriculum
(4) Active participation of students with democratic 
and free expression
10. Measurement of intelligence by calculating 
Intelligence Quotient (IQ) through use of 
standardized tests is problematic because -
(1) are not Culturally fair
(2) give only qualitative analysis
(3) measure intelligence comprehensively
(4) account for individual differences
11. Assertion (A) : T eachers should not create print-rich 
environment in the elementary classrooms.
 Reason (R) : Development of language is inborn 
ability.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(2) Both (A) and (R) 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.
12. Assertion (A) : Boys and Girls learn to behave 
in 'Gender appropriate' ways by observing and 
limitating same-sex adults.
 Reason (R) : Gender is a purely biological construct.
 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 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)
17th January, 2023
  
13. While interacting with a diverse group of students, a 
teacher :
(1) Should discourage discussions that encourage 
the students to talk about their backgrounds and 
experiences.
(2) Continuously reflect on her own stereotypes and 
biases.
(3) Follow a uniform curriculum and standardised 
evaluation.
(4) Adopt the lecture method as the primary mode 
of teaching.
14. Assessment should be :
(1) Holistic and continuous.
(2) Standardised and exam centric.
(3) Summative and norm-referenced.
(4) Teacher-centered and discontinuous
15. Which of the following is not a characteristic of 
students who are critical thinkers ?
(1) Open-mindedness and inquisivness
(2) Following instructions blindly
(3) Asking clarifying questions
(4) Assessing the credibility of sources
16. Which of the following of advocates a flexible 
learning environment considering the unique needs 
of each child in an inclusive classroom ?
(1) Highly structured curriculum
(2) Standardized assessment
(3) Universal designs for learning
(4) Uniform and summative assessment
17. In a group of diverse learners teachers should 
practise multicultural education :
(1) Aimed at ensuring uniform and standardised 
curriculum.
(2) By using uniform and standardized assessment.
(3) By creating separate sections based on the 
cultural backgrounds of children.
(4) By creating a classroom ethos where every child 
feels a sense of belonging.
18. Sunita exhibits repetitive motor actions and had 
difficulty making friends though she had ability 
for excellent attention, to detail. These are typical 
identifying characteristics of :
(1) Autism 
(2) Dyslexia
(3) Dysgraphia 
(4) Attention deficit hyperactivity disorder
19. Which of the following is an example of assitive 
technology to aid hearing ?
(1) Braille system (2) Walking stick
(3) Sound amplifier (4) Eyeglasses
20. Which of the following are important characteristics 
of creativity ?
(i) Divergent thinking (ii) Originality of ideas
(iii) Flexibility (iv) Convergent thinking
(1) (i) (ii) (iii) (2) (i) (ii)
(3) (ii) (iii) (4) (i) (ii) (iii) (iv)
21. For effective learning, teachers should ensure that 
the learning activities :
(1) Build on the previous understanding of the 
students and further it.
(2) Are aimed to only reproduce knowledge from 
the textbook.
(3) Are decontextualized and depersonalized.
(4) Are extremely complex and abstract.
22. 'Alternative conceptions' among children :
(1) Reflect the egocentric and irrational thinking of 
children.
(2) Are found only in children with very high IQ 
levels.
(3) Are an obstracle to learning and should be 
punished.
(4) Are the 'native' theories that children construct 
about phenomenon around them.
23. Teachers can encourage effective problem solving 
by:
(1) Discouraging multiple perspectives and guesses 
in her class
(2) Encouraging children to make intuitive guesses
(3) Writing step-by-step solution to the problem
(4) Focusing on the reproduction of textbook 
knowledge
24. As the class teacher of an underachieving child, 
which of the following facilitative strategies do you 
think would be most useful ?
(1) Give the students a long lecture on his 
underachievement
(2) Try to identify the reasons for his 
underachievement and set short term, achievable 
goals
(3) Ask the school management to take necessary 
steps such as making a separate section for 
under achieving students
(4) Call the parents of the child and tell them that 
their child does not have any ability so they 
should put the child in a separate school
25. Which of these is an important activity to enable 
conceptual understanding in children ?
(1) Dialogue (2) Lecture
(3) Direct Instruction (4) Rewards
26. According to National Education policy 2020, 
experiential learning will be adopted in all stages. 
What is NOT correct with respect to experiential 
learning ?
(i) It makes the teacher more active in the teaching-
learning process than the students.
(ii) It helps in connecting past experiences to 
gaining new knowledge and transfer of positive 
learning.
(iii) It is completely based on the promotion of 
traditional bookish knowledge.
(iv) It emphasizes on developing real and scientific 
understanding in students through experiences 
and experiments.
(1) (ii), (iv) (2) (i), (iii)
(3) (i), (iv) (4) (ii), (iii)
27. Which of the following emotions facilitates the 
process of meaningful learning ?
(1) Panic (2) Frustration
(3) Irritation (4) Excitement
28. Children learn best through the processes of :
(1) Passive imitation (2) Drill and recall
(3) Rote memorization (4) Guided discovery
29. Which of the following is a higher order ability that 
involves thinking about one's own thinking ?
(1) Recall (2) Conditioning
(3) Metacognition (4) Repetition
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Which of the following statements is correct about 
development ?
(1) Development is uniform
(2) Development is entirely unpredictable
(3) There are individual differences in development
(4) Development proceeds from specific to general
2. Assertion (A) : Provision of mid-may meals in 
schools can ensure better nutritional health of the 
students.
 Reason (R) : Environmental factors do not play 
any role in shaping an individual since growth is 
determined only by heredity.
 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.
3. As an agency of secondary socialization the primary 
function of the school is to :
(1) Cut the child off from the home.
(2) Undo the learning children had at home.
(3) Contradict the learnings acquired by the child in 
the family.
(4) Be an extension of the family and build upon the 
things child is familiar with.
4. In Jean piaget's theory ................ is said to occur 
when a child perceives new objects or events in 
terms of existing schemas :
(1) Assimilation (2) Organization
(3) Metacognition (4) Scaffolding
5. Despite their abilities to solve different kinds 
of problems .......... children still cannot think 
hypothetically.
(1) Sensori-motor (2) Concrete operational
(3) Pre-operational (4) Formal operational
6. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) Focus on how cultural factors and gender 
influences moral development
(2) Good or bad is determined by the consequences 
of obeying or disobeying rules
(3) The individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions.
(4) Self-chosen ethical principles that are universal
7. A teacher believing in Vygoysky's sociao-cultural 
theory should :
(1) Discourage interaction and dialogue among 
students
(2) Provide appropriate scaffolding to students as 
and when required
(3) Offer rewards and punishment to students 
regulating their behaviour
(4) Enable students to from association between 
stimulus and response
8. In Lev Vygotsky's theory, knowledge is co-
constructed by the child and the adult .............. the 
zone of proximal development.
(1) Outside (2) Within
(3) Beneath (4) Ahead of
9. Which of the following is NOT included in a 
progressive and child-centered education ?
(1) Use of digital technology and teaching-learning 
materials
(2) Emphasis learning from activities, experiences, 
and playful exploratory manner
(3) Emphasis only on course completion with 
structured curriculum
(4) Active participation of students with democratic 
and free expression
10. Measurement of intelligence by calculating 
Intelligence Quotient (IQ) through use of 
standardized tests is problematic because -
(1) are not Culturally fair
(2) give only qualitative analysis
(3) measure intelligence comprehensively
(4) account for individual differences
11. Assertion (A) : T eachers should not create print-rich 
environment in the elementary classrooms.
 Reason (R) : Development of language is inborn 
ability.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(2) Both (A) and (R) 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.
12. Assertion (A) : Boys and Girls learn to behave 
in 'Gender appropriate' ways by observing and 
limitating same-sex adults.
 Reason (R) : Gender is a purely biological construct.
 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 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)
17th January, 2023
  
13. While interacting with a diverse group of students, a 
teacher :
(1) Should discourage discussions that encourage 
the students to talk about their backgrounds and 
experiences.
(2) Continuously reflect on her own stereotypes and 
biases.
(3) Follow a uniform curriculum and standardised 
evaluation.
(4) Adopt the lecture method as the primary mode 
of teaching.
14. Assessment should be :
(1) Holistic and continuous.
(2) Standardised and exam centric.
(3) Summative and norm-referenced.
(4) Teacher-centered and discontinuous
15. Which of the following is not a characteristic of 
students who are critical thinkers ?
(1) Open-mindedness and inquisivness
(2) Following instructions blindly
(3) Asking clarifying questions
(4) Assessing the credibility of sources
16. Which of the following of advocates a flexible 
learning environment considering the unique needs 
of each child in an inclusive classroom ?
(1) Highly structured curriculum
(2) Standardized assessment
(3) Universal designs for learning
(4) Uniform and summative assessment
17. In a group of diverse learners teachers should 
practise multicultural education :
(1) Aimed at ensuring uniform and standardised 
curriculum.
(2) By using uniform and standardized assessment.
(3) By creating separate sections based on the 
cultural backgrounds of children.
(4) By creating a classroom ethos where every child 
feels a sense of belonging.
18. Sunita exhibits repetitive motor actions and had 
difficulty making friends though she had ability 
for excellent attention, to detail. These are typical 
identifying characteristics of :
(1) Autism 
(2) Dyslexia
(3) Dysgraphia 
(4) Attention deficit hyperactivity disorder
19. Which of the following is an example of assitive 
technology to aid hearing ?
(1) Braille system (2) Walking stick
(3) Sound amplifier (4) Eyeglasses
20. Which of the following are important characteristics 
of creativity ?
(i) Divergent thinking (ii) Originality of ideas
(iii) Flexibility (iv) Convergent thinking
(1) (i) (ii) (iii) (2) (i) (ii)
(3) (ii) (iii) (4) (i) (ii) (iii) (iv)
21. For effective learning, teachers should ensure that 
the learning activities :
(1) Build on the previous understanding of the 
students and further it.
(2) Are aimed to only reproduce knowledge from 
the textbook.
(3) Are decontextualized and depersonalized.
(4) Are extremely complex and abstract.
22. 'Alternative conceptions' among children :
(1) Reflect the egocentric and irrational thinking of 
children.
(2) Are found only in children with very high IQ 
levels.
(3) Are an obstracle to learning and should be 
punished.
(4) Are the 'native' theories that children construct 
about phenomenon around them.
23. Teachers can encourage effective problem solving 
by:
(1) Discouraging multiple perspectives and guesses 
in her class
(2) Encouraging children to make intuitive guesses
(3) Writing step-by-step solution to the problem
(4) Focusing on the reproduction of textbook 
knowledge
24. As the class teacher of an underachieving child, 
which of the following facilitative strategies do you 
think would be most useful ?
(1) Give the students a long lecture on his 
underachievement
(2) Try to identify the reasons for his 
underachievement and set short term, achievable 
goals
(3) Ask the school management to take necessary 
steps such as making a separate section for 
under achieving students
(4) Call the parents of the child and tell them that 
their child does not have any ability so they 
should put the child in a separate school
25. Which of these is an important activity to enable 
conceptual understanding in children ?
(1) Dialogue (2) Lecture
(3) Direct Instruction (4) Rewards
26. According to National Education policy 2020, 
experiential learning will be adopted in all stages. 
What is NOT correct with respect to experiential 
learning ?
(i) It makes the teacher more active in the teaching-
learning process than the students.
(ii) It helps in connecting past experiences to 
gaining new knowledge and transfer of positive 
learning.
(iii) It is completely based on the promotion of 
traditional bookish knowledge.
(iv) It emphasizes on developing real and scientific 
understanding in students through experiences 
and experiments.
(1) (ii), (iv) (2) (i), (iii)
(3) (i), (iv) (4) (ii), (iii)
27. Which of the following emotions facilitates the 
process of meaningful learning ?
(1) Panic (2) Frustration
(3) Irritation (4) Excitement
28. Children learn best through the processes of :
(1) Passive imitation (2) Drill and recall
(3) Rote memorization (4) Guided discovery
29. Which of the following is a higher order ability that 
involves thinking about one's own thinking ?
(1) Recall (2) Conditioning
(3) Metacognition (4) Repetition
  
30. Teachers can encourage children to become 
intrinsically motivated by :
(1) Use of methods of conditioning 
(2) Giving appropriate rewards
(3) By use of punishment 
(4) By considering student's interests
Mathematics and Science
31. When we add one to four digit greatest number, we 
get :
(1) A four digit number with unit digit 9.
(2) The five digit greatest number.
(3) The five digit least number.
(4) A five digit number with unit digit 1.
32. While teaching Class VI students, teacher explains 
that :
 6 + 4 = 4 + 6
 6 – 4 ? 4 – 6
 6 × 4 = 4 × 6
 Which property He/She is trying to explain :
(1) Closure property 
(2) Associative property
(3) Commutative property
(4) Multiplicative inverse property
33. Which of the following is a prime number ?
(1) 1 (2) 2
(3) 9 (4) 4
34. If we multiply a fraction by itself and then divide 
the product so obtained by its reciprocal, then the 
fraction obtained is 2
10
27
. The original fraction is :
(1)
 
2
1
3
 
(2)
 
1
1
3
(3)
 
3
1
3
 
(4)
 
8
3
35. What number should be added to 0.01 to get 1.1 ?
(1) 1.11 (2) 1.09
(3) 0.91 (4) 0.19
36. For an algebraic operation (addition, subtraction or 
multiplication), which of the following statement is 
NOT true ?
(1) Like terms are added 
(2) Like terms are subtracted
(3) In addition and subtraction, like and unlike 
terms are left as they are
(4) Only like terms are multiplied
37. The ages (in years) of Hari and Harry are in the ratio 
5 : 7. Four years from now, the ratio of their ages will 
be 3 : 4. Their present ages are :
(1) Hari 28 years, Harry 20 years.
(2) Hari 20 years, Harry 28 years.
(3) Hari 15 years, Harry 21 years.
(4) Hari 21 years, Harry 15 years.
38. In a two digit number, the digit in tens place exceeds 
the digit in units place by 4. If the sum of the digits 
is 
1
7
 
of the number, then the digit at the units place 
in the number is :
(1) 5 (2) 4
(3) 3 (4) 1
39. If x is the simple interest (in `) on ` 30000 at 15% per 
annum for 3 years, then the value of 2x + 50 is :
(1) 27500 (2) 27050
(3) 25750 (4) 25700
40. 
()()
()
4129
23
22
2
xx ax bx
xx
 

 
is equal to :
(1) (ax + b) (2x + 3) (2) (ax + b) (2x – 3)
(3) (ax – b) (2x + 3) (4) (ax – b) (2x – 3)
41. If x, y and z respectively represents the number of 
faces, edges and vertices of a hexagonal pyramid, 
then the value of 
xy z  





2
2
 
is:
(1) 121 (2) 144
(3) 169 (4) 196
42. A triangle is to be constructed with sides (2p – 1) cm, 
(2p + 1) cm and 12cm. For constructing the triangle, 
p must always be :
(1) Greater than 3 (2) Greater than 2.5
(3) Equal to 3 (4) Equal to 2.5
43. Number of degrees (°) in four and two-third of right 
angle is :
(1) 310 (2) 330
(3) 420 (4) 400
44. In which of the quadrilaterals - Rectangles, Square, 
Rhombus and Parallelogram, the diagonals are 
perpendicular to each other ?
(1) Rectangle and Square 
(2) Square and Rhombus
(3) Parallelogram and Rhombus
(4) Rhombus and Rectangle
45. Which of the following figures have no line of 
symmetry ?
(1) Isosceles triangle (2) Kite
(3) Parallelogram (4) Circle
46. If the volumes of two cubes are in the ratio 27 : 64, 
then the ratio of their total surface area is :
(1) 27 : 64 (2) 3 : 4
(3) 9 : 16 (4) 3 : 8
47. The area of a rectangle of length 18 cm is equal to the 
area of a square of side 12 cm. Then, the perimeter 
of the rectangle (in cm) is :
(1) 26 (2) 36
(3) 52 (4) 72
48. The perimeter of a trapezium is 104 cm and each of 
its non-parallel sides is equal to 20 cm. If its height is 
16 cm, then its area (in cm
2
) is :
(1) 512 (2) 496
(3) 472 (4) 448
49. Which of the following is a characteristic of the 
median of a data ?
(1) It gets affected by extreme scores of data.
(2) It is same as finding mean.
(3) It is always equal to the value of 
(mean) + mode
2
.
(4) It does not get affected by extreme scores of the 
data.
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Which of the following statements is correct about 
development ?
(1) Development is uniform
(2) Development is entirely unpredictable
(3) There are individual differences in development
(4) Development proceeds from specific to general
2. Assertion (A) : Provision of mid-may meals in 
schools can ensure better nutritional health of the 
students.
 Reason (R) : Environmental factors do not play 
any role in shaping an individual since growth is 
determined only by heredity.
 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.
3. As an agency of secondary socialization the primary 
function of the school is to :
(1) Cut the child off from the home.
(2) Undo the learning children had at home.
(3) Contradict the learnings acquired by the child in 
the family.
(4) Be an extension of the family and build upon the 
things child is familiar with.
4. In Jean piaget's theory ................ is said to occur 
when a child perceives new objects or events in 
terms of existing schemas :
(1) Assimilation (2) Organization
(3) Metacognition (4) Scaffolding
5. Despite their abilities to solve different kinds 
of problems .......... children still cannot think 
hypothetically.
(1) Sensori-motor (2) Concrete operational
(3) Pre-operational (4) Formal operational
6. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) Focus on how cultural factors and gender 
influences moral development
(2) Good or bad is determined by the consequences 
of obeying or disobeying rules
(3) The individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions.
(4) Self-chosen ethical principles that are universal
7. A teacher believing in Vygoysky's sociao-cultural 
theory should :
(1) Discourage interaction and dialogue among 
students
(2) Provide appropriate scaffolding to students as 
and when required
(3) Offer rewards and punishment to students 
regulating their behaviour
(4) Enable students to from association between 
stimulus and response
8. In Lev Vygotsky's theory, knowledge is co-
constructed by the child and the adult .............. the 
zone of proximal development.
(1) Outside (2) Within
(3) Beneath (4) Ahead of
9. Which of the following is NOT included in a 
progressive and child-centered education ?
(1) Use of digital technology and teaching-learning 
materials
(2) Emphasis learning from activities, experiences, 
and playful exploratory manner
(3) Emphasis only on course completion with 
structured curriculum
(4) Active participation of students with democratic 
and free expression
10. Measurement of intelligence by calculating 
Intelligence Quotient (IQ) through use of 
standardized tests is problematic because -
(1) are not Culturally fair
(2) give only qualitative analysis
(3) measure intelligence comprehensively
(4) account for individual differences
11. Assertion (A) : T eachers should not create print-rich 
environment in the elementary classrooms.
 Reason (R) : Development of language is inborn 
ability.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(2) Both (A) and (R) 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.
12. Assertion (A) : Boys and Girls learn to behave 
in 'Gender appropriate' ways by observing and 
limitating same-sex adults.
 Reason (R) : Gender is a purely biological construct.
 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 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)
17th January, 2023
  
13. While interacting with a diverse group of students, a 
teacher :
(1) Should discourage discussions that encourage 
the students to talk about their backgrounds and 
experiences.
(2) Continuously reflect on her own stereotypes and 
biases.
(3) Follow a uniform curriculum and standardised 
evaluation.
(4) Adopt the lecture method as the primary mode 
of teaching.
14. Assessment should be :
(1) Holistic and continuous.
(2) Standardised and exam centric.
(3) Summative and norm-referenced.
(4) Teacher-centered and discontinuous
15. Which of the following is not a characteristic of 
students who are critical thinkers ?
(1) Open-mindedness and inquisivness
(2) Following instructions blindly
(3) Asking clarifying questions
(4) Assessing the credibility of sources
16. Which of the following of advocates a flexible 
learning environment considering the unique needs 
of each child in an inclusive classroom ?
(1) Highly structured curriculum
(2) Standardized assessment
(3) Universal designs for learning
(4) Uniform and summative assessment
17. In a group of diverse learners teachers should 
practise multicultural education :
(1) Aimed at ensuring uniform and standardised 
curriculum.
(2) By using uniform and standardized assessment.
(3) By creating separate sections based on the 
cultural backgrounds of children.
(4) By creating a classroom ethos where every child 
feels a sense of belonging.
18. Sunita exhibits repetitive motor actions and had 
difficulty making friends though she had ability 
for excellent attention, to detail. These are typical 
identifying characteristics of :
(1) Autism 
(2) Dyslexia
(3) Dysgraphia 
(4) Attention deficit hyperactivity disorder
19. Which of the following is an example of assitive 
technology to aid hearing ?
(1) Braille system (2) Walking stick
(3) Sound amplifier (4) Eyeglasses
20. Which of the following are important characteristics 
of creativity ?
(i) Divergent thinking (ii) Originality of ideas
(iii) Flexibility (iv) Convergent thinking
(1) (i) (ii) (iii) (2) (i) (ii)
(3) (ii) (iii) (4) (i) (ii) (iii) (iv)
21. For effective learning, teachers should ensure that 
the learning activities :
(1) Build on the previous understanding of the 
students and further it.
(2) Are aimed to only reproduce knowledge from 
the textbook.
(3) Are decontextualized and depersonalized.
(4) Are extremely complex and abstract.
22. 'Alternative conceptions' among children :
(1) Reflect the egocentric and irrational thinking of 
children.
(2) Are found only in children with very high IQ 
levels.
(3) Are an obstracle to learning and should be 
punished.
(4) Are the 'native' theories that children construct 
about phenomenon around them.
23. Teachers can encourage effective problem solving 
by:
(1) Discouraging multiple perspectives and guesses 
in her class
(2) Encouraging children to make intuitive guesses
(3) Writing step-by-step solution to the problem
(4) Focusing on the reproduction of textbook 
knowledge
24. As the class teacher of an underachieving child, 
which of the following facilitative strategies do you 
think would be most useful ?
(1) Give the students a long lecture on his 
underachievement
(2) Try to identify the reasons for his 
underachievement and set short term, achievable 
goals
(3) Ask the school management to take necessary 
steps such as making a separate section for 
under achieving students
(4) Call the parents of the child and tell them that 
their child does not have any ability so they 
should put the child in a separate school
25. Which of these is an important activity to enable 
conceptual understanding in children ?
(1) Dialogue (2) Lecture
(3) Direct Instruction (4) Rewards
26. According to National Education policy 2020, 
experiential learning will be adopted in all stages. 
What is NOT correct with respect to experiential 
learning ?
(i) It makes the teacher more active in the teaching-
learning process than the students.
(ii) It helps in connecting past experiences to 
gaining new knowledge and transfer of positive 
learning.
(iii) It is completely based on the promotion of 
traditional bookish knowledge.
(iv) It emphasizes on developing real and scientific 
understanding in students through experiences 
and experiments.
(1) (ii), (iv) (2) (i), (iii)
(3) (i), (iv) (4) (ii), (iii)
27. Which of the following emotions facilitates the 
process of meaningful learning ?
(1) Panic (2) Frustration
(3) Irritation (4) Excitement
28. Children learn best through the processes of :
(1) Passive imitation (2) Drill and recall
(3) Rote memorization (4) Guided discovery
29. Which of the following is a higher order ability that 
involves thinking about one's own thinking ?
(1) Recall (2) Conditioning
(3) Metacognition (4) Repetition
  
30. Teachers can encourage children to become 
intrinsically motivated by :
(1) Use of methods of conditioning 
(2) Giving appropriate rewards
(3) By use of punishment 
(4) By considering student's interests
Mathematics and Science
31. When we add one to four digit greatest number, we 
get :
(1) A four digit number with unit digit 9.
(2) The five digit greatest number.
(3) The five digit least number.
(4) A five digit number with unit digit 1.
32. While teaching Class VI students, teacher explains 
that :
 6 + 4 = 4 + 6
 6 – 4 ? 4 – 6
 6 × 4 = 4 × 6
 Which property He/She is trying to explain :
(1) Closure property 
(2) Associative property
(3) Commutative property
(4) Multiplicative inverse property
33. Which of the following is a prime number ?
(1) 1 (2) 2
(3) 9 (4) 4
34. If we multiply a fraction by itself and then divide 
the product so obtained by its reciprocal, then the 
fraction obtained is 2
10
27
. The original fraction is :
(1)
 
2
1
3
 
(2)
 
1
1
3
(3)
 
3
1
3
 
(4)
 
8
3
35. What number should be added to 0.01 to get 1.1 ?
(1) 1.11 (2) 1.09
(3) 0.91 (4) 0.19
36. For an algebraic operation (addition, subtraction or 
multiplication), which of the following statement is 
NOT true ?
(1) Like terms are added 
(2) Like terms are subtracted
(3) In addition and subtraction, like and unlike 
terms are left as they are
(4) Only like terms are multiplied
37. The ages (in years) of Hari and Harry are in the ratio 
5 : 7. Four years from now, the ratio of their ages will 
be 3 : 4. Their present ages are :
(1) Hari 28 years, Harry 20 years.
(2) Hari 20 years, Harry 28 years.
(3) Hari 15 years, Harry 21 years.
(4) Hari 21 years, Harry 15 years.
38. In a two digit number, the digit in tens place exceeds 
the digit in units place by 4. If the sum of the digits 
is 
1
7
 
of the number, then the digit at the units place 
in the number is :
(1) 5 (2) 4
(3) 3 (4) 1
39. If x is the simple interest (in `) on ` 30000 at 15% per 
annum for 3 years, then the value of 2x + 50 is :
(1) 27500 (2) 27050
(3) 25750 (4) 25700
40. 
()()
()
4129
23
22
2
xx ax bx
xx
 

 
is equal to :
(1) (ax + b) (2x + 3) (2) (ax + b) (2x – 3)
(3) (ax – b) (2x + 3) (4) (ax – b) (2x – 3)
41. If x, y and z respectively represents the number of 
faces, edges and vertices of a hexagonal pyramid, 
then the value of 
xy z  





2
2
 
is:
(1) 121 (2) 144
(3) 169 (4) 196
42. A triangle is to be constructed with sides (2p – 1) cm, 
(2p + 1) cm and 12cm. For constructing the triangle, 
p must always be :
(1) Greater than 3 (2) Greater than 2.5
(3) Equal to 3 (4) Equal to 2.5
43. Number of degrees (°) in four and two-third of right 
angle is :
(1) 310 (2) 330
(3) 420 (4) 400
44. In which of the quadrilaterals - Rectangles, Square, 
Rhombus and Parallelogram, the diagonals are 
perpendicular to each other ?
(1) Rectangle and Square 
(2) Square and Rhombus
(3) Parallelogram and Rhombus
(4) Rhombus and Rectangle
45. Which of the following figures have no line of 
symmetry ?
(1) Isosceles triangle (2) Kite
(3) Parallelogram (4) Circle
46. If the volumes of two cubes are in the ratio 27 : 64, 
then the ratio of their total surface area is :
(1) 27 : 64 (2) 3 : 4
(3) 9 : 16 (4) 3 : 8
47. The area of a rectangle of length 18 cm is equal to the 
area of a square of side 12 cm. Then, the perimeter 
of the rectangle (in cm) is :
(1) 26 (2) 36
(3) 52 (4) 72
48. The perimeter of a trapezium is 104 cm and each of 
its non-parallel sides is equal to 20 cm. If its height is 
16 cm, then its area (in cm
2
) is :
(1) 512 (2) 496
(3) 472 (4) 448
49. Which of the following is a characteristic of the 
median of a data ?
(1) It gets affected by extreme scores of data.
(2) It is same as finding mean.
(3) It is always equal to the value of 
(mean) + mode
2
.
(4) It does not get affected by extreme scores of the 
data.
  
50. A box contains 10 slips with numbered 1 to 10 (one 
number on one slip) which have been mixed well. 
One slip is chosen from the box without looking 
into it. What is the probability of getting a number 
greater than 6 ?
(1)
 
1
2
 
(2)
 
2
5
(3)
 
3
5
 
(4)
 
4
5
51. Which among the following is NOT a key process to 
be developed in mathematical reasoning ?
(1) Recognising patterns 
(2) Memorising a formula
(3) Identifying relationships 
(4) Formulating hypothesis
52. Which of the following is the most appropriate 
method to teach the identity (a + b)
2
 using chalk 
and blackboard ?
(1) Write (a + b)
2
 = a
2
 + b
2
 + 2ab on the blackboard 
and solve related problems as examples
(2) Demonstrate the multiplication, (a + b)
2
 = (a + b) 
× (a + b)
(3) Take a chart of identities in the classroom and 
help students memorise them
(4) Make a jingle and help the students memorise 
all such identities
53. It has been observed that people involved 
in occupations require mathematical skills 
of computation and estimation like vendors, 
construction workers etc. are often not able to cope 
up with formal school mathematics. Which of the 
following offers the most appropriate explanation 
for this ?
(1) School mathematics requires a different level of 
intelligence
(2) Many people are inherently incapable of learning 
school mathematics
(3) School curriculum usually does not incorporate 
ways of teaching-learning specific to learner’s 
cultural context
(4) People coming from these occupational 
backgrounds do not have time to practice 
problems given in the textbook at home
54. A students in class VI gives the following statement 
in a mathematics class :
 “ A 3D shape can be transformed into a 2D shape”.
 Which of the following concepts the child is correctly 
applying to the above situation ?
(1) Viewing objects from different sides
(2) Scaling
(3) Rotation
(4) Symmetry
55. It was observed that a class VII student was able to 
find the answer of 
1
4
2
3
÷ but was not able to give 
a real-life situation of application of the same. The 
reason could be :
(1) The teacher did not develop the idea of division 
of fractions using concrete materials before 
introducing the standard algorithm
(2) There are hardly any real-life applications of 
fractions
(3) The students did not pay attention when the 
teacher was teaching the topic
(4) Division of fractions is a difficult concept for 
class VII student
56. Which of the following is the most appropriate 
way to teach the middle school students that 
mathematical probability of any outcome in a 
random event lies between 0 to 1 ?
(1) By writing the formula of probability as possible 
outcomes divided by total number of outcomes
(2) By using videos based on solving problems on 
probability from internet
(3) By telling the students to do some experiments 
and verify
(4) By conducting a practical experiment of any 
random event like throwing a dice, flipping 
a coin etc. and asking students to note the 
outcomes
57. According to many research studies, which of the 
following is the most appropriate reason for gender 
based differences in mathematical achievement in 
school mathematics education.
(1) Inherent differences in cognitive capacities of 
males and females
(2) Persistent social stereotype carried out in 
classroom that mathematics is a male domain
(3) A natural difference in males and females with 
respect to interests in learning mathematics
(4) Differences in physiological and biological 
features of males and females
58. At primary level, children’s thinking in mathematics 
progresses from :
(A) abstract to concrete
(B) complex to simple
(C) simple to complex
(D) concrete to abstract
Choose the correct option :
(1) (A) and (B) (2) (B) and (C)
(3) (A) and (D) (4) (C) and (D)
59. Which among the following is an open ended 
question ?
(1) Identify three objects which are in the shape of a 
cuboid
(2) If sum of two numbers is 13 and their difference 
is 3, what are the numbers ?
(3) Write as many as possible even numbers
(4) Write even numbers, between 10 and 20 which 
are multiples of 2 and 3
60. Ms. Fathima, a class VIII mathematics teacher has 
given a group project on problem solving in geometry 
to her students. She assessed her students over 
a period of time on various parameters like their 
analytical skills, problem solving skills, presentation 
skills; participation in group discussions etc. Which 
assessment tool will NOT be appropriate for this 
purpose ?
(1) A Rating Scale
(2) An Interview Schedule
(3) A Checklist
(4) Rubrics
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
1. Which of the following statements is correct about 
development ?
(1) Development is uniform
(2) Development is entirely unpredictable
(3) There are individual differences in development
(4) Development proceeds from specific to general
2. Assertion (A) : Provision of mid-may meals in 
schools can ensure better nutritional health of the 
students.
 Reason (R) : Environmental factors do not play 
any role in shaping an individual since growth is 
determined only by heredity.
 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.
3. As an agency of secondary socialization the primary 
function of the school is to :
(1) Cut the child off from the home.
(2) Undo the learning children had at home.
(3) Contradict the learnings acquired by the child in 
the family.
(4) Be an extension of the family and build upon the 
things child is familiar with.
4. In Jean piaget's theory ................ is said to occur 
when a child perceives new objects or events in 
terms of existing schemas :
(1) Assimilation (2) Organization
(3) Metacognition (4) Scaffolding
5. Despite their abilities to solve different kinds 
of problems .......... children still cannot think 
hypothetically.
(1) Sensori-motor (2) Concrete operational
(3) Pre-operational (4) Formal operational
6. According to Kohlberg the pre-conventional level of 
moral development is characterised by :
(1) Focus on how cultural factors and gender 
influences moral development
(2) Good or bad is determined by the consequences 
of obeying or disobeying rules
(3) The individual strives to maintain the expectations 
of others rather than focus on the consequences 
of one's actions.
(4) Self-chosen ethical principles that are universal
7. A teacher believing in Vygoysky's sociao-cultural 
theory should :
(1) Discourage interaction and dialogue among 
students
(2) Provide appropriate scaffolding to students as 
and when required
(3) Offer rewards and punishment to students 
regulating their behaviour
(4) Enable students to from association between 
stimulus and response
8. In Lev Vygotsky's theory, knowledge is co-
constructed by the child and the adult .............. the 
zone of proximal development.
(1) Outside (2) Within
(3) Beneath (4) Ahead of
9. Which of the following is NOT included in a 
progressive and child-centered education ?
(1) Use of digital technology and teaching-learning 
materials
(2) Emphasis learning from activities, experiences, 
and playful exploratory manner
(3) Emphasis only on course completion with 
structured curriculum
(4) Active participation of students with democratic 
and free expression
10. Measurement of intelligence by calculating 
Intelligence Quotient (IQ) through use of 
standardized tests is problematic because -
(1) are not Culturally fair
(2) give only qualitative analysis
(3) measure intelligence comprehensively
(4) account for individual differences
11. Assertion (A) : T eachers should not create print-rich 
environment in the elementary classrooms.
 Reason (R) : Development of language is inborn 
ability.
 Choose the correct option.
(1) Both (A) and (R) are true and (R) is the correct 
explanation of (A).
(2) Both (A) and (R) 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.
12. Assertion (A) : Boys and Girls learn to behave 
in 'Gender appropriate' ways by observing and 
limitating same-sex adults.
 Reason (R) : Gender is a purely biological construct.
 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 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)
17th January, 2023
  
13. While interacting with a diverse group of students, a 
teacher :
(1) Should discourage discussions that encourage 
the students to talk about their backgrounds and 
experiences.
(2) Continuously reflect on her own stereotypes and 
biases.
(3) Follow a uniform curriculum and standardised 
evaluation.
(4) Adopt the lecture method as the primary mode 
of teaching.
14. Assessment should be :
(1) Holistic and continuous.
(2) Standardised and exam centric.
(3) Summative and norm-referenced.
(4) Teacher-centered and discontinuous
15. Which of the following is not a characteristic of 
students who are critical thinkers ?
(1) Open-mindedness and inquisivness
(2) Following instructions blindly
(3) Asking clarifying questions
(4) Assessing the credibility of sources
16. Which of the following of advocates a flexible 
learning environment considering the unique needs 
of each child in an inclusive classroom ?
(1) Highly structured curriculum
(2) Standardized assessment
(3) Universal designs for learning
(4) Uniform and summative assessment
17. In a group of diverse learners teachers should 
practise multicultural education :
(1) Aimed at ensuring uniform and standardised 
curriculum.
(2) By using uniform and standardized assessment.
(3) By creating separate sections based on the 
cultural backgrounds of children.
(4) By creating a classroom ethos where every child 
feels a sense of belonging.
18. Sunita exhibits repetitive motor actions and had 
difficulty making friends though she had ability 
for excellent attention, to detail. These are typical 
identifying characteristics of :
(1) Autism 
(2) Dyslexia
(3) Dysgraphia 
(4) Attention deficit hyperactivity disorder
19. Which of the following is an example of assitive 
technology to aid hearing ?
(1) Braille system (2) Walking stick
(3) Sound amplifier (4) Eyeglasses
20. Which of the following are important characteristics 
of creativity ?
(i) Divergent thinking (ii) Originality of ideas
(iii) Flexibility (iv) Convergent thinking
(1) (i) (ii) (iii) (2) (i) (ii)
(3) (ii) (iii) (4) (i) (ii) (iii) (iv)
21. For effective learning, teachers should ensure that 
the learning activities :
(1) Build on the previous understanding of the 
students and further it.
(2) Are aimed to only reproduce knowledge from 
the textbook.
(3) Are decontextualized and depersonalized.
(4) Are extremely complex and abstract.
22. 'Alternative conceptions' among children :
(1) Reflect the egocentric and irrational thinking of 
children.
(2) Are found only in children with very high IQ 
levels.
(3) Are an obstracle to learning and should be 
punished.
(4) Are the 'native' theories that children construct 
about phenomenon around them.
23. Teachers can encourage effective problem solving 
by:
(1) Discouraging multiple perspectives and guesses 
in her class
(2) Encouraging children to make intuitive guesses
(3) Writing step-by-step solution to the problem
(4) Focusing on the reproduction of textbook 
knowledge
24. As the class teacher of an underachieving child, 
which of the following facilitative strategies do you 
think would be most useful ?
(1) Give the students a long lecture on his 
underachievement
(2) Try to identify the reasons for his 
underachievement and set short term, achievable 
goals
(3) Ask the school management to take necessary 
steps such as making a separate section for 
under achieving students
(4) Call the parents of the child and tell them that 
their child does not have any ability so they 
should put the child in a separate school
25. Which of these is an important activity to enable 
conceptual understanding in children ?
(1) Dialogue (2) Lecture
(3) Direct Instruction (4) Rewards
26. According to National Education policy 2020, 
experiential learning will be adopted in all stages. 
What is NOT correct with respect to experiential 
learning ?
(i) It makes the teacher more active in the teaching-
learning process than the students.
(ii) It helps in connecting past experiences to 
gaining new knowledge and transfer of positive 
learning.
(iii) It is completely based on the promotion of 
traditional bookish knowledge.
(iv) It emphasizes on developing real and scientific 
understanding in students through experiences 
and experiments.
(1) (ii), (iv) (2) (i), (iii)
(3) (i), (iv) (4) (ii), (iii)
27. Which of the following emotions facilitates the 
process of meaningful learning ?
(1) Panic (2) Frustration
(3) Irritation (4) Excitement
28. Children learn best through the processes of :
(1) Passive imitation (2) Drill and recall
(3) Rote memorization (4) Guided discovery
29. Which of the following is a higher order ability that 
involves thinking about one's own thinking ?
(1) Recall (2) Conditioning
(3) Metacognition (4) Repetition
  
30. Teachers can encourage children to become 
intrinsically motivated by :
(1) Use of methods of conditioning 
(2) Giving appropriate rewards
(3) By use of punishment 
(4) By considering student's interests
Mathematics and Science
31. When we add one to four digit greatest number, we 
get :
(1) A four digit number with unit digit 9.
(2) The five digit greatest number.
(3) The five digit least number.
(4) A five digit number with unit digit 1.
32. While teaching Class VI students, teacher explains 
that :
 6 + 4 = 4 + 6
 6 – 4 ? 4 – 6
 6 × 4 = 4 × 6
 Which property He/She is trying to explain :
(1) Closure property 
(2) Associative property
(3) Commutative property
(4) Multiplicative inverse property
33. Which of the following is a prime number ?
(1) 1 (2) 2
(3) 9 (4) 4
34. If we multiply a fraction by itself and then divide 
the product so obtained by its reciprocal, then the 
fraction obtained is 2
10
27
. The original fraction is :
(1)
 
2
1
3
 
(2)
 
1
1
3
(3)
 
3
1
3
 
(4)
 
8
3
35. What number should be added to 0.01 to get 1.1 ?
(1) 1.11 (2) 1.09
(3) 0.91 (4) 0.19
36. For an algebraic operation (addition, subtraction or 
multiplication), which of the following statement is 
NOT true ?
(1) Like terms are added 
(2) Like terms are subtracted
(3) In addition and subtraction, like and unlike 
terms are left as they are
(4) Only like terms are multiplied
37. The ages (in years) of Hari and Harry are in the ratio 
5 : 7. Four years from now, the ratio of their ages will 
be 3 : 4. Their present ages are :
(1) Hari 28 years, Harry 20 years.
(2) Hari 20 years, Harry 28 years.
(3) Hari 15 years, Harry 21 years.
(4) Hari 21 years, Harry 15 years.
38. In a two digit number, the digit in tens place exceeds 
the digit in units place by 4. If the sum of the digits 
is 
1
7
 
of the number, then the digit at the units place 
in the number is :
(1) 5 (2) 4
(3) 3 (4) 1
39. If x is the simple interest (in `) on ` 30000 at 15% per 
annum for 3 years, then the value of 2x + 50 is :
(1) 27500 (2) 27050
(3) 25750 (4) 25700
40. 
()()
()
4129
23
22
2
xx ax bx
xx
 

 
is equal to :
(1) (ax + b) (2x + 3) (2) (ax + b) (2x – 3)
(3) (ax – b) (2x + 3) (4) (ax – b) (2x – 3)
41. If x, y and z respectively represents the number of 
faces, edges and vertices of a hexagonal pyramid, 
then the value of 
xy z  





2
2
 
is:
(1) 121 (2) 144
(3) 169 (4) 196
42. A triangle is to be constructed with sides (2p – 1) cm, 
(2p + 1) cm and 12cm. For constructing the triangle, 
p must always be :
(1) Greater than 3 (2) Greater than 2.5
(3) Equal to 3 (4) Equal to 2.5
43. Number of degrees (°) in four and two-third of right 
angle is :
(1) 310 (2) 330
(3) 420 (4) 400
44. In which of the quadrilaterals - Rectangles, Square, 
Rhombus and Parallelogram, the diagonals are 
perpendicular to each other ?
(1) Rectangle and Square 
(2) Square and Rhombus
(3) Parallelogram and Rhombus
(4) Rhombus and Rectangle
45. Which of the following figures have no line of 
symmetry ?
(1) Isosceles triangle (2) Kite
(3) Parallelogram (4) Circle
46. If the volumes of two cubes are in the ratio 27 : 64, 
then the ratio of their total surface area is :
(1) 27 : 64 (2) 3 : 4
(3) 9 : 16 (4) 3 : 8
47. The area of a rectangle of length 18 cm is equal to the 
area of a square of side 12 cm. Then, the perimeter 
of the rectangle (in cm) is :
(1) 26 (2) 36
(3) 52 (4) 72
48. The perimeter of a trapezium is 104 cm and each of 
its non-parallel sides is equal to 20 cm. If its height is 
16 cm, then its area (in cm
2
) is :
(1) 512 (2) 496
(3) 472 (4) 448
49. Which of the following is a characteristic of the 
median of a data ?
(1) It gets affected by extreme scores of data.
(2) It is same as finding mean.
(3) It is always equal to the value of 
(mean) + mode
2
.
(4) It does not get affected by extreme scores of the 
data.
  
50. A box contains 10 slips with numbered 1 to 10 (one 
number on one slip) which have been mixed well. 
One slip is chosen from the box without looking 
into it. What is the probability of getting a number 
greater than 6 ?
(1)
 
1
2
 
(2)
 
2
5
(3)
 
3
5
 
(4)
 
4
5
51. Which among the following is NOT a key process to 
be developed in mathematical reasoning ?
(1) Recognising patterns 
(2) Memorising a formula
(3) Identifying relationships 
(4) Formulating hypothesis
52. Which of the following is the most appropriate 
method to teach the identity (a + b)
2
 using chalk 
and blackboard ?
(1) Write (a + b)
2
 = a
2
 + b
2
 + 2ab on the blackboard 
and solve related problems as examples
(2) Demonstrate the multiplication, (a + b)
2
 = (a + b) 
× (a + b)
(3) Take a chart of identities in the classroom and 
help students memorise them
(4) Make a jingle and help the students memorise 
all such identities
53. It has been observed that people involved 
in occupations require mathematical skills 
of computation and estimation like vendors, 
construction workers etc. are often not able to cope 
up with formal school mathematics. Which of the 
following offers the most appropriate explanation 
for this ?
(1) School mathematics requires a different level of 
intelligence
(2) Many people are inherently incapable of learning 
school mathematics
(3) School curriculum usually does not incorporate 
ways of teaching-learning specific to learner’s 
cultural context
(4) People coming from these occupational 
backgrounds do not have time to practice 
problems given in the textbook at home
54. A students in class VI gives the following statement 
in a mathematics class :
 “ A 3D shape can be transformed into a 2D shape”.
 Which of the following concepts the child is correctly 
applying to the above situation ?
(1) Viewing objects from different sides
(2) Scaling
(3) Rotation
(4) Symmetry
55. It was observed that a class VII student was able to 
find the answer of 
1
4
2
3
÷ but was not able to give 
a real-life situation of application of the same. The 
reason could be :
(1) The teacher did not develop the idea of division 
of fractions using concrete materials before 
introducing the standard algorithm
(2) There are hardly any real-life applications of 
fractions
(3) The students did not pay attention when the 
teacher was teaching the topic
(4) Division of fractions is a difficult concept for 
class VII student
56. Which of the following is the most appropriate 
way to teach the middle school students that 
mathematical probability of any outcome in a 
random event lies between 0 to 1 ?
(1) By writing the formula of probability as possible 
outcomes divided by total number of outcomes
(2) By using videos based on solving problems on 
probability from internet
(3) By telling the students to do some experiments 
and verify
(4) By conducting a practical experiment of any 
random event like throwing a dice, flipping 
a coin etc. and asking students to note the 
outcomes
57. According to many research studies, which of the 
following is the most appropriate reason for gender 
based differences in mathematical achievement in 
school mathematics education.
(1) Inherent differences in cognitive capacities of 
males and females
(2) Persistent social stereotype carried out in 
classroom that mathematics is a male domain
(3) A natural difference in males and females with 
respect to interests in learning mathematics
(4) Differences in physiological and biological 
features of males and females
58. At primary level, children’s thinking in mathematics 
progresses from :
(A) abstract to concrete
(B) complex to simple
(C) simple to complex
(D) concrete to abstract
Choose the correct option :
(1) (A) and (B) (2) (B) and (C)
(3) (A) and (D) (4) (C) and (D)
59. Which among the following is an open ended 
question ?
(1) Identify three objects which are in the shape of a 
cuboid
(2) If sum of two numbers is 13 and their difference 
is 3, what are the numbers ?
(3) Write as many as possible even numbers
(4) Write even numbers, between 10 and 20 which 
are multiples of 2 and 3
60. Ms. Fathima, a class VIII mathematics teacher has 
given a group project on problem solving in geometry 
to her students. She assessed her students over 
a period of time on various parameters like their 
analytical skills, problem solving skills, presentation 
skills; participation in group discussions etc. Which 
assessment tool will NOT be appropriate for this 
purpose ?
(1) A Rating Scale
(2) An Interview Schedule
(3) A Checklist
(4) Rubrics
  
61. Two wires forming the open ends of a circuit 
consisting of bulb and an electric cell are dipped 
in the following liquids one by one and it is noted 
whether the bulb in the circuit glows or not. 
 Following are the observation :
 Liquid Bulb glows or not
 A ?
 B ?
 C ?
 D ?
 A, B, C and D could be :
(1) copper sulphate, sugar solution, distilled water, 
salt water
(2) sugar solution, distilled water, salt water, copper 
sulphate
(3) distilled water, salt water, copper sulphate, sugar 
solution
(4) salt water, copper sulphate, sugar solution, 
distilled water
62. The conversion of milk into curd is :
(1) Physical and Reversible change
(2) Physical and Irreversible change
(3) Chemical and Reversible change
(4) Chemical and Irreversible change
63. W is a chemical substance used in antacids as well as 
cleaning and baking products. It’s chemical nature is 
X. When turmeric solution is added to X, it turns Y . 
The common name of W is Z. W , X, Y, Z respectively 
are :  
(1) sodium carbonate, basic, bluish, washing soda
(2) sodium hydroxide, acidic, reddish, baking soda
(3) sodium bicarbonate, basic, reddish, baking soda
(4) sodium bicarbonate, acidic, reddish, washing 
soda
64. Read the following statements regarding viruses 
and choose the correct statements :
(A) They lack cellular structure
(B) They contain DNA or RNA
(C) They are smallest living micro-organisms
(D) They can reproduce on their own
(1) (A) and (C) (2) (A) and (B)
(3) (B) and (C) (4) (C) and (D)
65. Seismograph is an instrument used to measure 
the intensity of earthquakes. Seismograph mainly 
consists of a :
(1) vibrating rod (2) electrical conductor
(3) electromagnet (4) barometer
66. Which of the following represent correct set of 
organisms with their respective respiratory organ ?
Organism Respiratory organ
(A) Earthworm (I) Gill
(B) Cockroach (II) Skin
(C) Dolphin (III) Tracheal system
(D) Snail (IV) Lungs
 Codes :
 A B C D
(1) II III IV I 
(2) II III I IV
(3) III II I IV 
(4) III IV I II
67. The sound travels from water into an iron rod and 
then into air and back into water. The speed of 
sound will successively :
(1) increase, increase, decrease
(2) decrease, increase, increase
(3) increase, decrease, increase
(4) decrease, increase, decrease
68. Read the following statements and choose correct 
response :
 Assertion (A) : There is no frictional force acting on 
a stationary car.
 Reason (R) : Friction acts only on moving objects.
(1) Both (A) and (R) are correct and (R) is correct 
explanation of (A).
(2) Both (A) and (R) are correct but (R) is not correct 
explanation of (A).
(3) (A) is correct but (R) is false
(4) Both (A) and (R) are false
69. Reena takes a plastic bottle and makes three 
identical holes at different levels of the bottle. She 
fills the bottle and observes water flow. Which of 
the following statement about her observation and 
inference is correct ?
(1) The water comes out of all the three holes with 
same force and falls at the same distance
(2) The water from the topmost hole comes out with 
the least force and falls at the minimum distance
(3) The water from the topmost hole comes out 
with maximum force and falls at the maximum 
distance
(4) The water from the bottom hole comes out with 
least force and falls at minimum distance
70. Which of the following statements is true ?
(1) Soils with slow percolation rate retain more 
moisture
(2) Roots of plants, humus and organic matter 
increases percolation rate
(3) Fast percolation rate helps in better absorption of 
water by roots
(4) Soils which have large particle size have slow 
percolation rate
71. Which of the following materials is best suited to 
make a fuse wire ?
 Material  Melting point  Resistivity
  A  High  High
  B  Low  High
  C  High  Low
  D  Low  Low
(1) A (2) B
(3) C (4) D
72. Read the following sentences about transpiration in 
plants :
(A) Transpiration creates suction pull which causes 
water to reach great heights in tall trees.
(B) Transpiration helps in maintaining optimum 
body temperature in plants.
(C) Transpiration helps in absorption of water by the 
roots.
Which of the following statements is/are correct ?
(1) (A) and (B) (2) (A) and (C)
(3) (B) and (C) (4) (A), (B) and (C)