CTET Solved Question Paper - 2 (19 Dec - 2019) | 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
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Noor forgot to bring her tiffin to school and asked 
Tanya to share her tiffin saying “You should share 
your tiffin with me today because I shared my 
tiffin with you yesterday.“ According to Lawrence 
Kohlberg’s theory of moral development, Noor’s 
statements represent __________ orientation typical 
at __________ stage.
(1) law and order; post-conventional
(2) obedience; pre-conventional
(3) being nice; conventional
(4) exchange; pre-conventional
2. Widely held beliefs about typified characteristics 
deemed appropriate for different sexes in society are 
referred to as:
(1) gender discrimination (2) gender roles
(3) gender identity (4) gender stereotypes
3. Recently there have been conscious efforts to include 
stories in the curriculum where a father is involved 
in household work and a mother is doing adventure 
activities. This move is important because:
(1) it aims to strengthen gender bias
(2) it aims to eliminate gender stereotyping
(3) it aims to encourage gender constancy
(4) it aims to increase gender discrimination
4. According to Vygotsky, when adults adjust the 
support to extend the child’s current level of 
performance, it is called:
(1) discovery learning
(2) zone of proximal development
(3) scaffolding
(4) inter-subjectivity
5. According to Jean Piaget’s theory of cognitive 
development, hypothetico-deductive reasoning 
develops during:
(1) sensori-motor stage
(2) pre-operational stage
(3) concrete operational stage
(4) formal operational stage
6. According to _________, it is important to understand 
the social processes and influence of the cultural 
context on children’s thinking.
(1) Lawrence Kohlberg (2) Jean Piagent
(3) Lev Vygotsky (4) Albert Bandura
7. Drawing implications from Piaget’s theory of 
cognitive development, a teacher of grades 6-8 in his 
classroom should:
(1) discourage the use of logical arguments
(2) present problems that require reasoning-based 
solutions
(3) use only concrete material to teach a concept
(4) rely solely on the prescribed syllabus
8. As per Howard Gardner’s theory of multiple 
intelligence, what would be the characteristics of a 
person with ‘Logico-mathematical‘ intelligence?
(1) Sensitivity to the sounds, rhythms and meaning 
of words.
(2) Ability to perceive the visual-spatial world 
accurately.
(3) Ability to produce and appreciate pitch, rhythm 
and aesthetic quality of musical expressiveness.
(4) Sensitivity to and capacity to detect patterns, 
and handle long chains of reasoning.
9. The process by which children develop habits, skills, 
values and motives that make them responsible, 
productive members of society is called:
(1) socialization (2) inclusion
(3) mainstreaming (4) differentiation
10. Which of the following statements about the role of 
heredity and environment in human development 
is correct?
(1) The only reason for individual differences is 
heredity.
(2) Environmental influences totally shape the 
development of a human.
(3) Neither heredity nor environment influences 
human development.
(4) Heredity and environment both influence 
human development in a complex interplay.
11. In a progressive classroom:
(1) knowledge is constructed by the learner
(2) knowledge is received passively by the learner
(3) knowledge is reproduced by the learner as it is
(4) knowledge is recalled by the learner as per 
instructions of the teacher
12. Continuous and comprehensive evaluation includes:
(1) only formative assessment
(2) only summative assessment
(3) neither formation nor summative assessment
(4) both formative and summative assessments 
using a wide variety of strategies.
13. A student in your class has been told again and 
again from different sources that people from his 
social group typically perform poorly in academics. 
T o reduce the impact of this stereotype and resultant 
stereotype threat, a teacher’s initial step can be:
(1) ignoring such concerns
(2) organizing competitions between students from  
different social groups
(3) suggesting the student leave academics and join 
some other domain
(4) presenting stories and examples of role models 
from different social groups.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
19th December, 2019
Page 2


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Noor forgot to bring her tiffin to school and asked 
Tanya to share her tiffin saying “You should share 
your tiffin with me today because I shared my 
tiffin with you yesterday.“ According to Lawrence 
Kohlberg’s theory of moral development, Noor’s 
statements represent __________ orientation typical 
at __________ stage.
(1) law and order; post-conventional
(2) obedience; pre-conventional
(3) being nice; conventional
(4) exchange; pre-conventional
2. Widely held beliefs about typified characteristics 
deemed appropriate for different sexes in society are 
referred to as:
(1) gender discrimination (2) gender roles
(3) gender identity (4) gender stereotypes
3. Recently there have been conscious efforts to include 
stories in the curriculum where a father is involved 
in household work and a mother is doing adventure 
activities. This move is important because:
(1) it aims to strengthen gender bias
(2) it aims to eliminate gender stereotyping
(3) it aims to encourage gender constancy
(4) it aims to increase gender discrimination
4. According to Vygotsky, when adults adjust the 
support to extend the child’s current level of 
performance, it is called:
(1) discovery learning
(2) zone of proximal development
(3) scaffolding
(4) inter-subjectivity
5. According to Jean Piaget’s theory of cognitive 
development, hypothetico-deductive reasoning 
develops during:
(1) sensori-motor stage
(2) pre-operational stage
(3) concrete operational stage
(4) formal operational stage
6. According to _________, it is important to understand 
the social processes and influence of the cultural 
context on children’s thinking.
(1) Lawrence Kohlberg (2) Jean Piagent
(3) Lev Vygotsky (4) Albert Bandura
7. Drawing implications from Piaget’s theory of 
cognitive development, a teacher of grades 6-8 in his 
classroom should:
(1) discourage the use of logical arguments
(2) present problems that require reasoning-based 
solutions
(3) use only concrete material to teach a concept
(4) rely solely on the prescribed syllabus
8. As per Howard Gardner’s theory of multiple 
intelligence, what would be the characteristics of a 
person with ‘Logico-mathematical‘ intelligence?
(1) Sensitivity to the sounds, rhythms and meaning 
of words.
(2) Ability to perceive the visual-spatial world 
accurately.
(3) Ability to produce and appreciate pitch, rhythm 
and aesthetic quality of musical expressiveness.
(4) Sensitivity to and capacity to detect patterns, 
and handle long chains of reasoning.
9. The process by which children develop habits, skills, 
values and motives that make them responsible, 
productive members of society is called:
(1) socialization (2) inclusion
(3) mainstreaming (4) differentiation
10. Which of the following statements about the role of 
heredity and environment in human development 
is correct?
(1) The only reason for individual differences is 
heredity.
(2) Environmental influences totally shape the 
development of a human.
(3) Neither heredity nor environment influences 
human development.
(4) Heredity and environment both influence 
human development in a complex interplay.
11. In a progressive classroom:
(1) knowledge is constructed by the learner
(2) knowledge is received passively by the learner
(3) knowledge is reproduced by the learner as it is
(4) knowledge is recalled by the learner as per 
instructions of the teacher
12. Continuous and comprehensive evaluation includes:
(1) only formative assessment
(2) only summative assessment
(3) neither formation nor summative assessment
(4) both formative and summative assessments 
using a wide variety of strategies.
13. A student in your class has been told again and 
again from different sources that people from his 
social group typically perform poorly in academics. 
T o reduce the impact of this stereotype and resultant 
stereotype threat, a teacher’s initial step can be:
(1) ignoring such concerns
(2) organizing competitions between students from  
different social groups
(3) suggesting the student leave academics and join 
some other domain
(4) presenting stories and examples of role models 
from different social groups.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
19th December, 2019
  
14. In an inclusive classroom, a teacher should:
(1) believe that every child has the potential to learn 
as per their abilities and strength
(2) show an attitude of pity and sympathy toward 
disabled learners
(3) use labels such as ‘handicapped child‘ and 
‘retarded child‘ to categorize children
(4) pay attention only to the gifted and talented 
children
15. A student shows the following signs in the 
classroom:
 (i) Anxiety around reading.
 (ii) Difficulty in recognizing words or letters.
 (iii) Poor vocabulary skills.
 (iv) Difficulty with understanding or remembering 
what was read.
 There are an indication of:
(1) an autistic student
(2) a creative student
(3) a student with a learning disability
(4) a student with ‘mental impairment‘
16. A teacher can address the needs of specially-abled 
learners in an inclusive classroom by:
(1) emphasizing upon practice and drill and using 
paper-pencil tests for assessment
(2) following uniform ways of instructing the 
students
(3) giving a lot of written homework and stressing 
on copying answers from other ‘bright students‘
(4) developing specific learning objectives based on 
an analysis of each student’s learning strengths 
and weaknesses
17. A teacher can encourage creative learners in her 
classroom by:
(1) emphasizing convergent thinking
(2) discouraging divergent thinking
(3) encouraging multiple perspectives and 
appreciating original ideas
(4) discouraging the students from taking risks and 
undertaking challenges
18. Which of the following factors supports meaningful 
learning in the classroom?
(1) Increasing the number of tests to motivative 
children to learn.
(2) Increasing rewards to motivate children to learn.
(3) Following only the lecture mode of instruction.
(4) Showing genuine interest in the content matter 
and having concern for children’s overall well-
being and learning.
19. An example of effective problem solving strategy is:
(1) Not paying any attention to evaluating the 
solution.
(2) Functional fixedness- focusing on only the 
conventional function of an object.
(3) Response set- getting stuck on one way of 
representing a problem.
(4) Means-end analysis- dividing the problem into 
number of sub-goals.
20. Which of the following is NOT an effective strategy  
for teaching-learning?
(1) Encouraging children to make intuitive guesses.
(2) Experimentation and exploration.
(3) Dialogue and discussion.
(4) Focusing on reproduction of knowledge as 
given.
21. How can teachers deal with children who are non-
attentive in the classroom?
(1) Ask the children to go out of the class.
(2) Scold them frequently in front of the entire class.
(3) Talk to them and find out reasons for their 
disinterest.
(4) Give them a lot of worksheets as homework.
22. Constructivist approach suggests that __________ is 
crucial for constructing knowledge.
(1) prior knowledge of the learner
(2) conditioning
(3) punishment
(4) note memorization
23. Children construct ‘naive theories‘ about various 
phenomenon. In this background a teacher should:
(1) challenge these conceptions of the children 
through dialogue
(2) dismiss these ideas that children have
(3) ignore children’s ideas and theories
(4) scold the children for having these ideas that 
interfere with her teaching
24. The relationship between cognition and emotion is:
(1) independent of each other
(2) uni-directional- emotions influence cognition
(3) uni-directional- cognition influences emotions
(4) bi-directional- a dynamic interplay between both
25. Which of the following factors affect learning?
 (i) Interest of the student.
 (ii) Emotional health of the student.
 (iii) P edagogical strategies.
 (iv) Social and cultural context of the student.
(1) (i), (ii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
26. __________ are an important aspect of the process of 
meaningful construction of knowledge.
(1) Social interactions.
(2) Drill and repetitive recall.
(3) Rewards and punishment 
(4) Stimulus-response associations.
27. When students repeatedly engage in an activity 
(such as designing and conducting an experiment) 
to earn a reward that is not directly related to that 
activity (such as earning a ‘star‘ or ‘badge‘) they are 
likely to:
(1) develop a materialistic attitude toward learning
(2) enjoy learning for the sake of understanding
(3) persist in doing the activity even without the 
reward
(4) set mastery goals for themselves rather than 
work to please others
28. The concept of childhood is:
(1) universally the same across different cultural 
contexts
(2) a social construction according to contemporary 
socio-constructivist theorists
(3) that children are born evil and have to be 
civilized
(4) that children begin with nothing at all and 
their characteristics are shaped entirely by 
environment
Page 3


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Noor forgot to bring her tiffin to school and asked 
Tanya to share her tiffin saying “You should share 
your tiffin with me today because I shared my 
tiffin with you yesterday.“ According to Lawrence 
Kohlberg’s theory of moral development, Noor’s 
statements represent __________ orientation typical 
at __________ stage.
(1) law and order; post-conventional
(2) obedience; pre-conventional
(3) being nice; conventional
(4) exchange; pre-conventional
2. Widely held beliefs about typified characteristics 
deemed appropriate for different sexes in society are 
referred to as:
(1) gender discrimination (2) gender roles
(3) gender identity (4) gender stereotypes
3. Recently there have been conscious efforts to include 
stories in the curriculum where a father is involved 
in household work and a mother is doing adventure 
activities. This move is important because:
(1) it aims to strengthen gender bias
(2) it aims to eliminate gender stereotyping
(3) it aims to encourage gender constancy
(4) it aims to increase gender discrimination
4. According to Vygotsky, when adults adjust the 
support to extend the child’s current level of 
performance, it is called:
(1) discovery learning
(2) zone of proximal development
(3) scaffolding
(4) inter-subjectivity
5. According to Jean Piaget’s theory of cognitive 
development, hypothetico-deductive reasoning 
develops during:
(1) sensori-motor stage
(2) pre-operational stage
(3) concrete operational stage
(4) formal operational stage
6. According to _________, it is important to understand 
the social processes and influence of the cultural 
context on children’s thinking.
(1) Lawrence Kohlberg (2) Jean Piagent
(3) Lev Vygotsky (4) Albert Bandura
7. Drawing implications from Piaget’s theory of 
cognitive development, a teacher of grades 6-8 in his 
classroom should:
(1) discourage the use of logical arguments
(2) present problems that require reasoning-based 
solutions
(3) use only concrete material to teach a concept
(4) rely solely on the prescribed syllabus
8. As per Howard Gardner’s theory of multiple 
intelligence, what would be the characteristics of a 
person with ‘Logico-mathematical‘ intelligence?
(1) Sensitivity to the sounds, rhythms and meaning 
of words.
(2) Ability to perceive the visual-spatial world 
accurately.
(3) Ability to produce and appreciate pitch, rhythm 
and aesthetic quality of musical expressiveness.
(4) Sensitivity to and capacity to detect patterns, 
and handle long chains of reasoning.
9. The process by which children develop habits, skills, 
values and motives that make them responsible, 
productive members of society is called:
(1) socialization (2) inclusion
(3) mainstreaming (4) differentiation
10. Which of the following statements about the role of 
heredity and environment in human development 
is correct?
(1) The only reason for individual differences is 
heredity.
(2) Environmental influences totally shape the 
development of a human.
(3) Neither heredity nor environment influences 
human development.
(4) Heredity and environment both influence 
human development in a complex interplay.
11. In a progressive classroom:
(1) knowledge is constructed by the learner
(2) knowledge is received passively by the learner
(3) knowledge is reproduced by the learner as it is
(4) knowledge is recalled by the learner as per 
instructions of the teacher
12. Continuous and comprehensive evaluation includes:
(1) only formative assessment
(2) only summative assessment
(3) neither formation nor summative assessment
(4) both formative and summative assessments 
using a wide variety of strategies.
13. A student in your class has been told again and 
again from different sources that people from his 
social group typically perform poorly in academics. 
T o reduce the impact of this stereotype and resultant 
stereotype threat, a teacher’s initial step can be:
(1) ignoring such concerns
(2) organizing competitions between students from  
different social groups
(3) suggesting the student leave academics and join 
some other domain
(4) presenting stories and examples of role models 
from different social groups.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
19th December, 2019
  
14. In an inclusive classroom, a teacher should:
(1) believe that every child has the potential to learn 
as per their abilities and strength
(2) show an attitude of pity and sympathy toward 
disabled learners
(3) use labels such as ‘handicapped child‘ and 
‘retarded child‘ to categorize children
(4) pay attention only to the gifted and talented 
children
15. A student shows the following signs in the 
classroom:
 (i) Anxiety around reading.
 (ii) Difficulty in recognizing words or letters.
 (iii) Poor vocabulary skills.
 (iv) Difficulty with understanding or remembering 
what was read.
 There are an indication of:
(1) an autistic student
(2) a creative student
(3) a student with a learning disability
(4) a student with ‘mental impairment‘
16. A teacher can address the needs of specially-abled 
learners in an inclusive classroom by:
(1) emphasizing upon practice and drill and using 
paper-pencil tests for assessment
(2) following uniform ways of instructing the 
students
(3) giving a lot of written homework and stressing 
on copying answers from other ‘bright students‘
(4) developing specific learning objectives based on 
an analysis of each student’s learning strengths 
and weaknesses
17. A teacher can encourage creative learners in her 
classroom by:
(1) emphasizing convergent thinking
(2) discouraging divergent thinking
(3) encouraging multiple perspectives and 
appreciating original ideas
(4) discouraging the students from taking risks and 
undertaking challenges
18. Which of the following factors supports meaningful 
learning in the classroom?
(1) Increasing the number of tests to motivative 
children to learn.
(2) Increasing rewards to motivate children to learn.
(3) Following only the lecture mode of instruction.
(4) Showing genuine interest in the content matter 
and having concern for children’s overall well-
being and learning.
19. An example of effective problem solving strategy is:
(1) Not paying any attention to evaluating the 
solution.
(2) Functional fixedness- focusing on only the 
conventional function of an object.
(3) Response set- getting stuck on one way of 
representing a problem.
(4) Means-end analysis- dividing the problem into 
number of sub-goals.
20. Which of the following is NOT an effective strategy  
for teaching-learning?
(1) Encouraging children to make intuitive guesses.
(2) Experimentation and exploration.
(3) Dialogue and discussion.
(4) Focusing on reproduction of knowledge as 
given.
21. How can teachers deal with children who are non-
attentive in the classroom?
(1) Ask the children to go out of the class.
(2) Scold them frequently in front of the entire class.
(3) Talk to them and find out reasons for their 
disinterest.
(4) Give them a lot of worksheets as homework.
22. Constructivist approach suggests that __________ is 
crucial for constructing knowledge.
(1) prior knowledge of the learner
(2) conditioning
(3) punishment
(4) note memorization
23. Children construct ‘naive theories‘ about various 
phenomenon. In this background a teacher should:
(1) challenge these conceptions of the children 
through dialogue
(2) dismiss these ideas that children have
(3) ignore children’s ideas and theories
(4) scold the children for having these ideas that 
interfere with her teaching
24. The relationship between cognition and emotion is:
(1) independent of each other
(2) uni-directional- emotions influence cognition
(3) uni-directional- cognition influences emotions
(4) bi-directional- a dynamic interplay between both
25. Which of the following factors affect learning?
 (i) Interest of the student.
 (ii) Emotional health of the student.
 (iii) P edagogical strategies.
 (iv) Social and cultural context of the student.
(1) (i), (ii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
26. __________ are an important aspect of the process of 
meaningful construction of knowledge.
(1) Social interactions.
(2) Drill and repetitive recall.
(3) Rewards and punishment 
(4) Stimulus-response associations.
27. When students repeatedly engage in an activity 
(such as designing and conducting an experiment) 
to earn a reward that is not directly related to that 
activity (such as earning a ‘star‘ or ‘badge‘) they are 
likely to:
(1) develop a materialistic attitude toward learning
(2) enjoy learning for the sake of understanding
(3) persist in doing the activity even without the 
reward
(4) set mastery goals for themselves rather than 
work to please others
28. The concept of childhood is:
(1) universally the same across different cultural 
contexts
(2) a social construction according to contemporary 
socio-constructivist theorists
(3) that children are born evil and have to be 
civilized
(4) that children begin with nothing at all and 
their characteristics are shaped entirely by 
environment
  
29. Which of the following characterizes the period of 
‘middle childhood?‘
(1) Physical growth and development occur at a 
very rapid pace.
(2) Ability to think abstractly and use scientific 
reasoning develops.
(3) Children begin to think logically but concretely.
(4) Learning occurs primarily through sensory and 
motor activities.
30. Family and neighbourhood are:
(1) psychological agencies for children
(2) primary socializing agencies
(3) middle socializing agencies
(4) secondary socializing agencies
Mathematics and Science
Direction: Answer the following questions by selecting the 
correct/most appropriate options.
31. How many pairs of twin primes are there between 
the integers 1 to 100?
(1) 5 (2) 6
(3) 7 (4) 8
32. If 21168 = 2
a
 × 3
b
 × 7
c
, where a, b and c are natural 
numbers, then what is the value of (4a – 5b + c)?
(1) 0 (2) 1
(3) 2 (4) 3
33. Let x be the least number which when divided by 8, 
12, 20, 28, 35 leaves a remainder 5 in each case. What 
is the sum of digits of x?
(a) 11 (b) 14
(c) 15 (d) 17
34. What number should be subtracted from each of 50, 
61, 92, 117 so that the numbers, so obtained in this 
order, are in proportion?
(1) 14 (2) 17
(3) 19 (4) 23
35. A sum of ` 1,710 is divided among A, B and C such 
that 4 times of A, 6 times of B and 9 times of C are 
equal. What is the difference between A and C?
(1) ` 360 (2) ` 450
(3) ` 480 (4) ` 540
36. The number of fruits in baskets A and B are in the 
ratio 7 : 9. If six fruits are taken out from A and put 
in B, then this ratio becomes 1 : 3.
 The total number of fruits in A and B is:
(1) 28 (2) 32
(3) 36 (4) 40
37. ?ABC and ?ADB are on the common base AB and 
on the same side of AB. DA ?AB, CB ?AB and AC = 
BD. Which of the following is true?
(1) ?ABC ? ?ABD (2) ?ABC ? ?ADB
(3) ?ABC ? ?BAD (4) ?ABC ? ?BDA
38. The sides of four triangles are given below:
(i) 20 cm, 22 cm, 24 cm
(ii) 15 cm, 32 cm, 37 cm
(iii) 11 cm, 60 cm, 61 cm
(iv) 19 cm, 40 cm, 41 cm
 Which of them forms a right triangle?
(1) (i) (2) (ii)
(3) (iii) (4) (iv)
39. The angles of a quadrilateral are in the ratio 3 : 5 : 7 
: 9. What is the difference between the smallest and 
the greatest angles of the quadrilateral?
(1) 50° (2) 60°
(3) 72° (4) 90°
40. The perimeter of a triangle is 12 cm. If all the three 
sides have lengths (in cm), in integers, then how 
many such different trianlges are possible?
(1) 2 (2) 3
(3) 4 (4) 5
41. A godown is in the shape of a cuboid whose 
length, breadth and height are 56 m, 42 m and 10 m 
respectively. How many (maximum) cuboidal boxes 
each measuring 2.8 m × 2.5 m × 70 cm can be stored 
into the godown?
(1) 2400 (2) 3600
(3) 4800 (4) 5400
42. The circumference of the base of a right circular 
cylinder is 528 cm and its height is 2 m. What is the 
volume of the cylinder? Take 






22
7
(1) 2.2176 m
6
 (2) 3.3264 m
3
(3) 4.4352 m
3
 (4) 6.6528 m
3
43. The area of a quadrilateral is 227.2 cm
2
 and the 
length of the perpendiculars from the opposite 
vertices to a diagonal are 7.2 cm and 8.8 cm. What is 
the length of the diagonal?
(1) 26.8 cm (2) 28.4 cm
(3) 30.2 cm (4) 32.6 cm
44. If 5(3x + 4) – 8(6x + 7) = 9x – 8, then what is the 
value of (x 
2
 – 2x + 1)?
(1)
 
2
3
 
(2)
 
4
9
(3)
 
5
3
 
(4)
 
25
9
45. What is the value of
 a(a + b
2
 + c) + b
2
(a
2
 + b
2
 + c
2
) – c(a + b
2
),
 when a = 1, b = –3 and c = –2?
(1) 138 (2) 154
(3) 162 (4) 176
46. The expression
 (x – y)(x
2
 + xy + y
2
) + (x + y)(x
2
 – xy + y
2
)  
– (x + y)(x
2
 – y
2
)
 is equal to:
(1) x
3
 – y
3
 + xy(x + y) (2) y
3
 – x
3
 + xy(y + x)
(3) x
3
 + y
3
 + xy(y – x) (4) x
3
 + y
3
 + xy(x – y)
47. What is the mean of the median, mode and range 
for the data given below?
 11, 25, 0, 8, 25, 30, 44, 50, 30, 18, 20, 17, 11, 9, 24, 25, 
29
(1) 31 (2) 32
(3) 33 (4) 34
48. A mathematical theorem is:
(1) a statement that has been proven by logical 
arguments based on axioms.
(2) a statement which is always true and doesn’t 
need proof.
(3) a statement whose truth or falsity is not known.
(4) is a statement without sufficient evidence or 
proof.
Page 4


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Noor forgot to bring her tiffin to school and asked 
Tanya to share her tiffin saying “You should share 
your tiffin with me today because I shared my 
tiffin with you yesterday.“ According to Lawrence 
Kohlberg’s theory of moral development, Noor’s 
statements represent __________ orientation typical 
at __________ stage.
(1) law and order; post-conventional
(2) obedience; pre-conventional
(3) being nice; conventional
(4) exchange; pre-conventional
2. Widely held beliefs about typified characteristics 
deemed appropriate for different sexes in society are 
referred to as:
(1) gender discrimination (2) gender roles
(3) gender identity (4) gender stereotypes
3. Recently there have been conscious efforts to include 
stories in the curriculum where a father is involved 
in household work and a mother is doing adventure 
activities. This move is important because:
(1) it aims to strengthen gender bias
(2) it aims to eliminate gender stereotyping
(3) it aims to encourage gender constancy
(4) it aims to increase gender discrimination
4. According to Vygotsky, when adults adjust the 
support to extend the child’s current level of 
performance, it is called:
(1) discovery learning
(2) zone of proximal development
(3) scaffolding
(4) inter-subjectivity
5. According to Jean Piaget’s theory of cognitive 
development, hypothetico-deductive reasoning 
develops during:
(1) sensori-motor stage
(2) pre-operational stage
(3) concrete operational stage
(4) formal operational stage
6. According to _________, it is important to understand 
the social processes and influence of the cultural 
context on children’s thinking.
(1) Lawrence Kohlberg (2) Jean Piagent
(3) Lev Vygotsky (4) Albert Bandura
7. Drawing implications from Piaget’s theory of 
cognitive development, a teacher of grades 6-8 in his 
classroom should:
(1) discourage the use of logical arguments
(2) present problems that require reasoning-based 
solutions
(3) use only concrete material to teach a concept
(4) rely solely on the prescribed syllabus
8. As per Howard Gardner’s theory of multiple 
intelligence, what would be the characteristics of a 
person with ‘Logico-mathematical‘ intelligence?
(1) Sensitivity to the sounds, rhythms and meaning 
of words.
(2) Ability to perceive the visual-spatial world 
accurately.
(3) Ability to produce and appreciate pitch, rhythm 
and aesthetic quality of musical expressiveness.
(4) Sensitivity to and capacity to detect patterns, 
and handle long chains of reasoning.
9. The process by which children develop habits, skills, 
values and motives that make them responsible, 
productive members of society is called:
(1) socialization (2) inclusion
(3) mainstreaming (4) differentiation
10. Which of the following statements about the role of 
heredity and environment in human development 
is correct?
(1) The only reason for individual differences is 
heredity.
(2) Environmental influences totally shape the 
development of a human.
(3) Neither heredity nor environment influences 
human development.
(4) Heredity and environment both influence 
human development in a complex interplay.
11. In a progressive classroom:
(1) knowledge is constructed by the learner
(2) knowledge is received passively by the learner
(3) knowledge is reproduced by the learner as it is
(4) knowledge is recalled by the learner as per 
instructions of the teacher
12. Continuous and comprehensive evaluation includes:
(1) only formative assessment
(2) only summative assessment
(3) neither formation nor summative assessment
(4) both formative and summative assessments 
using a wide variety of strategies.
13. A student in your class has been told again and 
again from different sources that people from his 
social group typically perform poorly in academics. 
T o reduce the impact of this stereotype and resultant 
stereotype threat, a teacher’s initial step can be:
(1) ignoring such concerns
(2) organizing competitions between students from  
different social groups
(3) suggesting the student leave academics and join 
some other domain
(4) presenting stories and examples of role models 
from different social groups.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
19th December, 2019
  
14. In an inclusive classroom, a teacher should:
(1) believe that every child has the potential to learn 
as per their abilities and strength
(2) show an attitude of pity and sympathy toward 
disabled learners
(3) use labels such as ‘handicapped child‘ and 
‘retarded child‘ to categorize children
(4) pay attention only to the gifted and talented 
children
15. A student shows the following signs in the 
classroom:
 (i) Anxiety around reading.
 (ii) Difficulty in recognizing words or letters.
 (iii) Poor vocabulary skills.
 (iv) Difficulty with understanding or remembering 
what was read.
 There are an indication of:
(1) an autistic student
(2) a creative student
(3) a student with a learning disability
(4) a student with ‘mental impairment‘
16. A teacher can address the needs of specially-abled 
learners in an inclusive classroom by:
(1) emphasizing upon practice and drill and using 
paper-pencil tests for assessment
(2) following uniform ways of instructing the 
students
(3) giving a lot of written homework and stressing 
on copying answers from other ‘bright students‘
(4) developing specific learning objectives based on 
an analysis of each student’s learning strengths 
and weaknesses
17. A teacher can encourage creative learners in her 
classroom by:
(1) emphasizing convergent thinking
(2) discouraging divergent thinking
(3) encouraging multiple perspectives and 
appreciating original ideas
(4) discouraging the students from taking risks and 
undertaking challenges
18. Which of the following factors supports meaningful 
learning in the classroom?
(1) Increasing the number of tests to motivative 
children to learn.
(2) Increasing rewards to motivate children to learn.
(3) Following only the lecture mode of instruction.
(4) Showing genuine interest in the content matter 
and having concern for children’s overall well-
being and learning.
19. An example of effective problem solving strategy is:
(1) Not paying any attention to evaluating the 
solution.
(2) Functional fixedness- focusing on only the 
conventional function of an object.
(3) Response set- getting stuck on one way of 
representing a problem.
(4) Means-end analysis- dividing the problem into 
number of sub-goals.
20. Which of the following is NOT an effective strategy  
for teaching-learning?
(1) Encouraging children to make intuitive guesses.
(2) Experimentation and exploration.
(3) Dialogue and discussion.
(4) Focusing on reproduction of knowledge as 
given.
21. How can teachers deal with children who are non-
attentive in the classroom?
(1) Ask the children to go out of the class.
(2) Scold them frequently in front of the entire class.
(3) Talk to them and find out reasons for their 
disinterest.
(4) Give them a lot of worksheets as homework.
22. Constructivist approach suggests that __________ is 
crucial for constructing knowledge.
(1) prior knowledge of the learner
(2) conditioning
(3) punishment
(4) note memorization
23. Children construct ‘naive theories‘ about various 
phenomenon. In this background a teacher should:
(1) challenge these conceptions of the children 
through dialogue
(2) dismiss these ideas that children have
(3) ignore children’s ideas and theories
(4) scold the children for having these ideas that 
interfere with her teaching
24. The relationship between cognition and emotion is:
(1) independent of each other
(2) uni-directional- emotions influence cognition
(3) uni-directional- cognition influences emotions
(4) bi-directional- a dynamic interplay between both
25. Which of the following factors affect learning?
 (i) Interest of the student.
 (ii) Emotional health of the student.
 (iii) P edagogical strategies.
 (iv) Social and cultural context of the student.
(1) (i), (ii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
26. __________ are an important aspect of the process of 
meaningful construction of knowledge.
(1) Social interactions.
(2) Drill and repetitive recall.
(3) Rewards and punishment 
(4) Stimulus-response associations.
27. When students repeatedly engage in an activity 
(such as designing and conducting an experiment) 
to earn a reward that is not directly related to that 
activity (such as earning a ‘star‘ or ‘badge‘) they are 
likely to:
(1) develop a materialistic attitude toward learning
(2) enjoy learning for the sake of understanding
(3) persist in doing the activity even without the 
reward
(4) set mastery goals for themselves rather than 
work to please others
28. The concept of childhood is:
(1) universally the same across different cultural 
contexts
(2) a social construction according to contemporary 
socio-constructivist theorists
(3) that children are born evil and have to be 
civilized
(4) that children begin with nothing at all and 
their characteristics are shaped entirely by 
environment
  
29. Which of the following characterizes the period of 
‘middle childhood?‘
(1) Physical growth and development occur at a 
very rapid pace.
(2) Ability to think abstractly and use scientific 
reasoning develops.
(3) Children begin to think logically but concretely.
(4) Learning occurs primarily through sensory and 
motor activities.
30. Family and neighbourhood are:
(1) psychological agencies for children
(2) primary socializing agencies
(3) middle socializing agencies
(4) secondary socializing agencies
Mathematics and Science
Direction: Answer the following questions by selecting the 
correct/most appropriate options.
31. How many pairs of twin primes are there between 
the integers 1 to 100?
(1) 5 (2) 6
(3) 7 (4) 8
32. If 21168 = 2
a
 × 3
b
 × 7
c
, where a, b and c are natural 
numbers, then what is the value of (4a – 5b + c)?
(1) 0 (2) 1
(3) 2 (4) 3
33. Let x be the least number which when divided by 8, 
12, 20, 28, 35 leaves a remainder 5 in each case. What 
is the sum of digits of x?
(a) 11 (b) 14
(c) 15 (d) 17
34. What number should be subtracted from each of 50, 
61, 92, 117 so that the numbers, so obtained in this 
order, are in proportion?
(1) 14 (2) 17
(3) 19 (4) 23
35. A sum of ` 1,710 is divided among A, B and C such 
that 4 times of A, 6 times of B and 9 times of C are 
equal. What is the difference between A and C?
(1) ` 360 (2) ` 450
(3) ` 480 (4) ` 540
36. The number of fruits in baskets A and B are in the 
ratio 7 : 9. If six fruits are taken out from A and put 
in B, then this ratio becomes 1 : 3.
 The total number of fruits in A and B is:
(1) 28 (2) 32
(3) 36 (4) 40
37. ?ABC and ?ADB are on the common base AB and 
on the same side of AB. DA ?AB, CB ?AB and AC = 
BD. Which of the following is true?
(1) ?ABC ? ?ABD (2) ?ABC ? ?ADB
(3) ?ABC ? ?BAD (4) ?ABC ? ?BDA
38. The sides of four triangles are given below:
(i) 20 cm, 22 cm, 24 cm
(ii) 15 cm, 32 cm, 37 cm
(iii) 11 cm, 60 cm, 61 cm
(iv) 19 cm, 40 cm, 41 cm
 Which of them forms a right triangle?
(1) (i) (2) (ii)
(3) (iii) (4) (iv)
39. The angles of a quadrilateral are in the ratio 3 : 5 : 7 
: 9. What is the difference between the smallest and 
the greatest angles of the quadrilateral?
(1) 50° (2) 60°
(3) 72° (4) 90°
40. The perimeter of a triangle is 12 cm. If all the three 
sides have lengths (in cm), in integers, then how 
many such different trianlges are possible?
(1) 2 (2) 3
(3) 4 (4) 5
41. A godown is in the shape of a cuboid whose 
length, breadth and height are 56 m, 42 m and 10 m 
respectively. How many (maximum) cuboidal boxes 
each measuring 2.8 m × 2.5 m × 70 cm can be stored 
into the godown?
(1) 2400 (2) 3600
(3) 4800 (4) 5400
42. The circumference of the base of a right circular 
cylinder is 528 cm and its height is 2 m. What is the 
volume of the cylinder? Take 






22
7
(1) 2.2176 m
6
 (2) 3.3264 m
3
(3) 4.4352 m
3
 (4) 6.6528 m
3
43. The area of a quadrilateral is 227.2 cm
2
 and the 
length of the perpendiculars from the opposite 
vertices to a diagonal are 7.2 cm and 8.8 cm. What is 
the length of the diagonal?
(1) 26.8 cm (2) 28.4 cm
(3) 30.2 cm (4) 32.6 cm
44. If 5(3x + 4) – 8(6x + 7) = 9x – 8, then what is the 
value of (x 
2
 – 2x + 1)?
(1)
 
2
3
 
(2)
 
4
9
(3)
 
5
3
 
(4)
 
25
9
45. What is the value of
 a(a + b
2
 + c) + b
2
(a
2
 + b
2
 + c
2
) – c(a + b
2
),
 when a = 1, b = –3 and c = –2?
(1) 138 (2) 154
(3) 162 (4) 176
46. The expression
 (x – y)(x
2
 + xy + y
2
) + (x + y)(x
2
 – xy + y
2
)  
– (x + y)(x
2
 – y
2
)
 is equal to:
(1) x
3
 – y
3
 + xy(x + y) (2) y
3
 – x
3
 + xy(y + x)
(3) x
3
 + y
3
 + xy(y – x) (4) x
3
 + y
3
 + xy(x – y)
47. What is the mean of the median, mode and range 
for the data given below?
 11, 25, 0, 8, 25, 30, 44, 50, 30, 18, 20, 17, 11, 9, 24, 25, 
29
(1) 31 (2) 32
(3) 33 (4) 34
48. A mathematical theorem is:
(1) a statement that has been proven by logical 
arguments based on axioms.
(2) a statement which is always true and doesn’t 
need proof.
(3) a statement whose truth or falsity is not known.
(4) is a statement without sufficient evidence or 
proof.
  
49. “Things which are equal to the same thing are 
equal to one another.” This axiom which is basis to 
arithmetic and algebra is given by:
(1) Euclid (2) Pythagoras
(3) Descartes (4) Euler
50. Which of the following can be used as assessment 
strategy to encourage interdisciplinary in 
Mathematics?
A. Projects B. Field trips
C. Anecdotal records D. Olympiad
(1) A & B (2) A & C
(3) B & C (4) C & D
51. Which method can be used to prove “The sum of 
two even integers is always even”?
(1) Proof by induction
(2) Direct proof
(3) Proof by contradiction
(4) Counter positive proof
52. Which of the following skills are promoted by 
mathematics at upper primary stage?
A. Visualisation B. T ransposition
C. Memorisation D. Generalisation
E. Estimation
(1) A, B, D, E (2) A, B, C, D
(3) B, C, D, E (4) A, C, D, E
53. Which of the following tasks is least likely to develop 
critical thinking among students?
(1) Evaluate 72 × 73 in three different ways and 
compare the result.
(2) Formulate any two situations to represent the 
equation 7x + 3 = 24.
(3) A student calculated the volume of a right 
circular cylinder of radius 3.5 cm and height 10 
cm as 38.5 cm
3
. Where did she go wrong?
(4) Calculate the volume of a right circular cylinder 
of radius 3.5 cm and height 10 cm.
54. Which of the following aligns with the overall 
objective of achieving ‘Mathematics for All’ as per 
NCF-2005?
(1) It should be acknowledged that Mathematics is 
meant for selected few students.
(2) Textbooks should only include problems of 
average difficulty.
(3) Contributions of mathematicians from different 
regions and diffrerent social groups should be 
highlighted.
(4) Mathematically talented students should be 
groomed in isolation.
55. Which of the following is considered as a 
characteristic of an effective mathematics classroom?
(1) Group work and group problem-solving is 
discouraged.
(2) It is emphasized that mathematics is essentially a 
concrete subject.
(3) Multiple ways of approaching a problem are 
encouraged.
(4) Steps for solving a new problem are neatly 
demostrated on the board by the teacher.
56. Which of the following is a desirable practice in the 
context of teaching and learning of measurement of 
volume?
(1) Begin by writing the formula of volume of a 
cube.
(2) Encourage precise calculation right from the 
begining.
(3) Begin by introducing students to the volume of 
2-D figures.
(4) Encourage students to figure out ways to 
calculate the volume of different objects.
57. Which of the following is NOT true according to 
Piaget’s view of children’s understanding of space?
(1)  Progression geometric ideas follows a definite 
order
(2) Progression of Geometric ideas follows a 
historical rather than a logical order.
(3) Early understanding of space is formed by 
child’s sensory motor experiences.
(4) Co-ordination of different visual and tactile 
experiences is required for understanding 
projective space.
58. If –12 × (–3) + [20 ÷ (–4) – (–24) ÷ 8] – [16 ÷ (–2)] 
= (–28 ÷ 7) + x,
 then the value of x is
(1) 29 (2) 39
(3) 46 (4) 47
59. If an 8-digit number 30x0867y is divisible by 88, then 
what is the value of (3x + y)?
(1) 4 (2) 5
(3) 6 (4) 7
60. The value of:
 
6
2
3
2
1
2
3
3
4
5
1
2
4
1
4
1
2
3
7
8
3
4
2
3
   






 is
(1)
 
-11
1
12
 
(2)
 
11
1
2
(3)
 
6
1
2
 
(4)
 
-6
1
2
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
61. ‘X’ is a chemical present in our stomach and is 
necessary for digestion of food. When ‘X’ is secreted 
in excess, it causes health problems like indigestion. 
‘Y’ is a chemical used to treat this condition. What 
could be ‘X’ and ‘Y’?
(1) X is hydrochloric acid & Y is sodium carbonate.
(2) X is milk of magnesia & Y is hydrochloric acid.
(3) X is hydrochloric acid & Y is milk of magnesia.
(4) X is milk of magnesia & Y is ascorbic acid.
62. In which of the following processes, Bacteria is NOT 
used?
(1) Formation of curd
(2) Baking of bread
(3) Fermentation of Sugarcane juice
(4) Nitrogen fixation
63. Which of the following is different from the rest?
(1) Deforestation (2) Desertification
(3) Erosion (4) Conservation
Page 5


  
 
Time: 2 hours 30 mins. Total Marks: 150
Child Development and Pedagogy
Directions: Answer the following questions (Q. Nos. 1 to 30) 
by selecting the correct/most appropriate options.
1. Noor forgot to bring her tiffin to school and asked 
Tanya to share her tiffin saying “You should share 
your tiffin with me today because I shared my 
tiffin with you yesterday.“ According to Lawrence 
Kohlberg’s theory of moral development, Noor’s 
statements represent __________ orientation typical 
at __________ stage.
(1) law and order; post-conventional
(2) obedience; pre-conventional
(3) being nice; conventional
(4) exchange; pre-conventional
2. Widely held beliefs about typified characteristics 
deemed appropriate for different sexes in society are 
referred to as:
(1) gender discrimination (2) gender roles
(3) gender identity (4) gender stereotypes
3. Recently there have been conscious efforts to include 
stories in the curriculum where a father is involved 
in household work and a mother is doing adventure 
activities. This move is important because:
(1) it aims to strengthen gender bias
(2) it aims to eliminate gender stereotyping
(3) it aims to encourage gender constancy
(4) it aims to increase gender discrimination
4. According to Vygotsky, when adults adjust the 
support to extend the child’s current level of 
performance, it is called:
(1) discovery learning
(2) zone of proximal development
(3) scaffolding
(4) inter-subjectivity
5. According to Jean Piaget’s theory of cognitive 
development, hypothetico-deductive reasoning 
develops during:
(1) sensori-motor stage
(2) pre-operational stage
(3) concrete operational stage
(4) formal operational stage
6. According to _________, it is important to understand 
the social processes and influence of the cultural 
context on children’s thinking.
(1) Lawrence Kohlberg (2) Jean Piagent
(3) Lev Vygotsky (4) Albert Bandura
7. Drawing implications from Piaget’s theory of 
cognitive development, a teacher of grades 6-8 in his 
classroom should:
(1) discourage the use of logical arguments
(2) present problems that require reasoning-based 
solutions
(3) use only concrete material to teach a concept
(4) rely solely on the prescribed syllabus
8. As per Howard Gardner’s theory of multiple 
intelligence, what would be the characteristics of a 
person with ‘Logico-mathematical‘ intelligence?
(1) Sensitivity to the sounds, rhythms and meaning 
of words.
(2) Ability to perceive the visual-spatial world 
accurately.
(3) Ability to produce and appreciate pitch, rhythm 
and aesthetic quality of musical expressiveness.
(4) Sensitivity to and capacity to detect patterns, 
and handle long chains of reasoning.
9. The process by which children develop habits, skills, 
values and motives that make them responsible, 
productive members of society is called:
(1) socialization (2) inclusion
(3) mainstreaming (4) differentiation
10. Which of the following statements about the role of 
heredity and environment in human development 
is correct?
(1) The only reason for individual differences is 
heredity.
(2) Environmental influences totally shape the 
development of a human.
(3) Neither heredity nor environment influences 
human development.
(4) Heredity and environment both influence 
human development in a complex interplay.
11. In a progressive classroom:
(1) knowledge is constructed by the learner
(2) knowledge is received passively by the learner
(3) knowledge is reproduced by the learner as it is
(4) knowledge is recalled by the learner as per 
instructions of the teacher
12. Continuous and comprehensive evaluation includes:
(1) only formative assessment
(2) only summative assessment
(3) neither formation nor summative assessment
(4) both formative and summative assessments 
using a wide variety of strategies.
13. A student in your class has been told again and 
again from different sources that people from his 
social group typically perform poorly in academics. 
T o reduce the impact of this stereotype and resultant 
stereotype threat, a teacher’s initial step can be:
(1) ignoring such concerns
(2) organizing competitions between students from  
different social groups
(3) suggesting the student leave academics and join 
some other domain
(4) presenting stories and examples of role models 
from different social groups.
CTET SOLVED PAPERS
Paper - 2 (Mathematics	&	Science)
19th December, 2019
  
14. In an inclusive classroom, a teacher should:
(1) believe that every child has the potential to learn 
as per their abilities and strength
(2) show an attitude of pity and sympathy toward 
disabled learners
(3) use labels such as ‘handicapped child‘ and 
‘retarded child‘ to categorize children
(4) pay attention only to the gifted and talented 
children
15. A student shows the following signs in the 
classroom:
 (i) Anxiety around reading.
 (ii) Difficulty in recognizing words or letters.
 (iii) Poor vocabulary skills.
 (iv) Difficulty with understanding or remembering 
what was read.
 There are an indication of:
(1) an autistic student
(2) a creative student
(3) a student with a learning disability
(4) a student with ‘mental impairment‘
16. A teacher can address the needs of specially-abled 
learners in an inclusive classroom by:
(1) emphasizing upon practice and drill and using 
paper-pencil tests for assessment
(2) following uniform ways of instructing the 
students
(3) giving a lot of written homework and stressing 
on copying answers from other ‘bright students‘
(4) developing specific learning objectives based on 
an analysis of each student’s learning strengths 
and weaknesses
17. A teacher can encourage creative learners in her 
classroom by:
(1) emphasizing convergent thinking
(2) discouraging divergent thinking
(3) encouraging multiple perspectives and 
appreciating original ideas
(4) discouraging the students from taking risks and 
undertaking challenges
18. Which of the following factors supports meaningful 
learning in the classroom?
(1) Increasing the number of tests to motivative 
children to learn.
(2) Increasing rewards to motivate children to learn.
(3) Following only the lecture mode of instruction.
(4) Showing genuine interest in the content matter 
and having concern for children’s overall well-
being and learning.
19. An example of effective problem solving strategy is:
(1) Not paying any attention to evaluating the 
solution.
(2) Functional fixedness- focusing on only the 
conventional function of an object.
(3) Response set- getting stuck on one way of 
representing a problem.
(4) Means-end analysis- dividing the problem into 
number of sub-goals.
20. Which of the following is NOT an effective strategy  
for teaching-learning?
(1) Encouraging children to make intuitive guesses.
(2) Experimentation and exploration.
(3) Dialogue and discussion.
(4) Focusing on reproduction of knowledge as 
given.
21. How can teachers deal with children who are non-
attentive in the classroom?
(1) Ask the children to go out of the class.
(2) Scold them frequently in front of the entire class.
(3) Talk to them and find out reasons for their 
disinterest.
(4) Give them a lot of worksheets as homework.
22. Constructivist approach suggests that __________ is 
crucial for constructing knowledge.
(1) prior knowledge of the learner
(2) conditioning
(3) punishment
(4) note memorization
23. Children construct ‘naive theories‘ about various 
phenomenon. In this background a teacher should:
(1) challenge these conceptions of the children 
through dialogue
(2) dismiss these ideas that children have
(3) ignore children’s ideas and theories
(4) scold the children for having these ideas that 
interfere with her teaching
24. The relationship between cognition and emotion is:
(1) independent of each other
(2) uni-directional- emotions influence cognition
(3) uni-directional- cognition influences emotions
(4) bi-directional- a dynamic interplay between both
25. Which of the following factors affect learning?
 (i) Interest of the student.
 (ii) Emotional health of the student.
 (iii) P edagogical strategies.
 (iv) Social and cultural context of the student.
(1) (i), (ii) (2) (ii), (iii)
(3) (i), (ii), (iii) (4) (i), (ii), (iii), (iv)
26. __________ are an important aspect of the process of 
meaningful construction of knowledge.
(1) Social interactions.
(2) Drill and repetitive recall.
(3) Rewards and punishment 
(4) Stimulus-response associations.
27. When students repeatedly engage in an activity 
(such as designing and conducting an experiment) 
to earn a reward that is not directly related to that 
activity (such as earning a ‘star‘ or ‘badge‘) they are 
likely to:
(1) develop a materialistic attitude toward learning
(2) enjoy learning for the sake of understanding
(3) persist in doing the activity even without the 
reward
(4) set mastery goals for themselves rather than 
work to please others
28. The concept of childhood is:
(1) universally the same across different cultural 
contexts
(2) a social construction according to contemporary 
socio-constructivist theorists
(3) that children are born evil and have to be 
civilized
(4) that children begin with nothing at all and 
their characteristics are shaped entirely by 
environment
  
29. Which of the following characterizes the period of 
‘middle childhood?‘
(1) Physical growth and development occur at a 
very rapid pace.
(2) Ability to think abstractly and use scientific 
reasoning develops.
(3) Children begin to think logically but concretely.
(4) Learning occurs primarily through sensory and 
motor activities.
30. Family and neighbourhood are:
(1) psychological agencies for children
(2) primary socializing agencies
(3) middle socializing agencies
(4) secondary socializing agencies
Mathematics and Science
Direction: Answer the following questions by selecting the 
correct/most appropriate options.
31. How many pairs of twin primes are there between 
the integers 1 to 100?
(1) 5 (2) 6
(3) 7 (4) 8
32. If 21168 = 2
a
 × 3
b
 × 7
c
, where a, b and c are natural 
numbers, then what is the value of (4a – 5b + c)?
(1) 0 (2) 1
(3) 2 (4) 3
33. Let x be the least number which when divided by 8, 
12, 20, 28, 35 leaves a remainder 5 in each case. What 
is the sum of digits of x?
(a) 11 (b) 14
(c) 15 (d) 17
34. What number should be subtracted from each of 50, 
61, 92, 117 so that the numbers, so obtained in this 
order, are in proportion?
(1) 14 (2) 17
(3) 19 (4) 23
35. A sum of ` 1,710 is divided among A, B and C such 
that 4 times of A, 6 times of B and 9 times of C are 
equal. What is the difference between A and C?
(1) ` 360 (2) ` 450
(3) ` 480 (4) ` 540
36. The number of fruits in baskets A and B are in the 
ratio 7 : 9. If six fruits are taken out from A and put 
in B, then this ratio becomes 1 : 3.
 The total number of fruits in A and B is:
(1) 28 (2) 32
(3) 36 (4) 40
37. ?ABC and ?ADB are on the common base AB and 
on the same side of AB. DA ?AB, CB ?AB and AC = 
BD. Which of the following is true?
(1) ?ABC ? ?ABD (2) ?ABC ? ?ADB
(3) ?ABC ? ?BAD (4) ?ABC ? ?BDA
38. The sides of four triangles are given below:
(i) 20 cm, 22 cm, 24 cm
(ii) 15 cm, 32 cm, 37 cm
(iii) 11 cm, 60 cm, 61 cm
(iv) 19 cm, 40 cm, 41 cm
 Which of them forms a right triangle?
(1) (i) (2) (ii)
(3) (iii) (4) (iv)
39. The angles of a quadrilateral are in the ratio 3 : 5 : 7 
: 9. What is the difference between the smallest and 
the greatest angles of the quadrilateral?
(1) 50° (2) 60°
(3) 72° (4) 90°
40. The perimeter of a triangle is 12 cm. If all the three 
sides have lengths (in cm), in integers, then how 
many such different trianlges are possible?
(1) 2 (2) 3
(3) 4 (4) 5
41. A godown is in the shape of a cuboid whose 
length, breadth and height are 56 m, 42 m and 10 m 
respectively. How many (maximum) cuboidal boxes 
each measuring 2.8 m × 2.5 m × 70 cm can be stored 
into the godown?
(1) 2400 (2) 3600
(3) 4800 (4) 5400
42. The circumference of the base of a right circular 
cylinder is 528 cm and its height is 2 m. What is the 
volume of the cylinder? Take 






22
7
(1) 2.2176 m
6
 (2) 3.3264 m
3
(3) 4.4352 m
3
 (4) 6.6528 m
3
43. The area of a quadrilateral is 227.2 cm
2
 and the 
length of the perpendiculars from the opposite 
vertices to a diagonal are 7.2 cm and 8.8 cm. What is 
the length of the diagonal?
(1) 26.8 cm (2) 28.4 cm
(3) 30.2 cm (4) 32.6 cm
44. If 5(3x + 4) – 8(6x + 7) = 9x – 8, then what is the 
value of (x 
2
 – 2x + 1)?
(1)
 
2
3
 
(2)
 
4
9
(3)
 
5
3
 
(4)
 
25
9
45. What is the value of
 a(a + b
2
 + c) + b
2
(a
2
 + b
2
 + c
2
) – c(a + b
2
),
 when a = 1, b = –3 and c = –2?
(1) 138 (2) 154
(3) 162 (4) 176
46. The expression
 (x – y)(x
2
 + xy + y
2
) + (x + y)(x
2
 – xy + y
2
)  
– (x + y)(x
2
 – y
2
)
 is equal to:
(1) x
3
 – y
3
 + xy(x + y) (2) y
3
 – x
3
 + xy(y + x)
(3) x
3
 + y
3
 + xy(y – x) (4) x
3
 + y
3
 + xy(x – y)
47. What is the mean of the median, mode and range 
for the data given below?
 11, 25, 0, 8, 25, 30, 44, 50, 30, 18, 20, 17, 11, 9, 24, 25, 
29
(1) 31 (2) 32
(3) 33 (4) 34
48. A mathematical theorem is:
(1) a statement that has been proven by logical 
arguments based on axioms.
(2) a statement which is always true and doesn’t 
need proof.
(3) a statement whose truth or falsity is not known.
(4) is a statement without sufficient evidence or 
proof.
  
49. “Things which are equal to the same thing are 
equal to one another.” This axiom which is basis to 
arithmetic and algebra is given by:
(1) Euclid (2) Pythagoras
(3) Descartes (4) Euler
50. Which of the following can be used as assessment 
strategy to encourage interdisciplinary in 
Mathematics?
A. Projects B. Field trips
C. Anecdotal records D. Olympiad
(1) A & B (2) A & C
(3) B & C (4) C & D
51. Which method can be used to prove “The sum of 
two even integers is always even”?
(1) Proof by induction
(2) Direct proof
(3) Proof by contradiction
(4) Counter positive proof
52. Which of the following skills are promoted by 
mathematics at upper primary stage?
A. Visualisation B. T ransposition
C. Memorisation D. Generalisation
E. Estimation
(1) A, B, D, E (2) A, B, C, D
(3) B, C, D, E (4) A, C, D, E
53. Which of the following tasks is least likely to develop 
critical thinking among students?
(1) Evaluate 72 × 73 in three different ways and 
compare the result.
(2) Formulate any two situations to represent the 
equation 7x + 3 = 24.
(3) A student calculated the volume of a right 
circular cylinder of radius 3.5 cm and height 10 
cm as 38.5 cm
3
. Where did she go wrong?
(4) Calculate the volume of a right circular cylinder 
of radius 3.5 cm and height 10 cm.
54. Which of the following aligns with the overall 
objective of achieving ‘Mathematics for All’ as per 
NCF-2005?
(1) It should be acknowledged that Mathematics is 
meant for selected few students.
(2) Textbooks should only include problems of 
average difficulty.
(3) Contributions of mathematicians from different 
regions and diffrerent social groups should be 
highlighted.
(4) Mathematically talented students should be 
groomed in isolation.
55. Which of the following is considered as a 
characteristic of an effective mathematics classroom?
(1) Group work and group problem-solving is 
discouraged.
(2) It is emphasized that mathematics is essentially a 
concrete subject.
(3) Multiple ways of approaching a problem are 
encouraged.
(4) Steps for solving a new problem are neatly 
demostrated on the board by the teacher.
56. Which of the following is a desirable practice in the 
context of teaching and learning of measurement of 
volume?
(1) Begin by writing the formula of volume of a 
cube.
(2) Encourage precise calculation right from the 
begining.
(3) Begin by introducing students to the volume of 
2-D figures.
(4) Encourage students to figure out ways to 
calculate the volume of different objects.
57. Which of the following is NOT true according to 
Piaget’s view of children’s understanding of space?
(1)  Progression geometric ideas follows a definite 
order
(2) Progression of Geometric ideas follows a 
historical rather than a logical order.
(3) Early understanding of space is formed by 
child’s sensory motor experiences.
(4) Co-ordination of different visual and tactile 
experiences is required for understanding 
projective space.
58. If –12 × (–3) + [20 ÷ (–4) – (–24) ÷ 8] – [16 ÷ (–2)] 
= (–28 ÷ 7) + x,
 then the value of x is
(1) 29 (2) 39
(3) 46 (4) 47
59. If an 8-digit number 30x0867y is divisible by 88, then 
what is the value of (3x + y)?
(1) 4 (2) 5
(3) 6 (4) 7
60. The value of:
 
6
2
3
2
1
2
3
3
4
5
1
2
4
1
4
1
2
3
7
8
3
4
2
3
   






 is
(1)
 
-11
1
12
 
(2)
 
11
1
2
(3)
 
6
1
2
 
(4)
 
-6
1
2
Directions: Answer the following questions by selecting the 
correct/most appropriate options.
61. ‘X’ is a chemical present in our stomach and is 
necessary for digestion of food. When ‘X’ is secreted 
in excess, it causes health problems like indigestion. 
‘Y’ is a chemical used to treat this condition. What 
could be ‘X’ and ‘Y’?
(1) X is hydrochloric acid & Y is sodium carbonate.
(2) X is milk of magnesia & Y is hydrochloric acid.
(3) X is hydrochloric acid & Y is milk of magnesia.
(4) X is milk of magnesia & Y is ascorbic acid.
62. In which of the following processes, Bacteria is NOT 
used?
(1) Formation of curd
(2) Baking of bread
(3) Fermentation of Sugarcane juice
(4) Nitrogen fixation
63. Which of the following is different from the rest?
(1) Deforestation (2) Desertification
(3) Erosion (4) Conservation
  
64. Which of the following statement is NOT correct?
(1) Digestion is a chemical change.
(2) Photosynthesis is a chemical change.
(3) Respiration is a chemical change.
(4) Crystallisation is a chemical change.
65. Which of the following represents an ascending 
order as per the size of particles?
(1) Rock, Clay, Sand, Gravel, Silt
(2) Clay, Silt, Sand, Gravel, Rock
(3) Silt, Clay, Sand, Gravel, Rock
(4) Rock, Gravel, Sand, Silt, Clay
66. The function of gills in the fish is to:
(1) take in oxygen from air
(2) absorb nutrients present in water
(3) absorb dissolved oxygen from water
(4) excrete waste into water
67. Which of the following can be used to complete an 
electric circuit if one runs out of connecting wire?
(1) A paper strip (2) A rubber belt
(3) A wooden stick (4) A blade
68. Manjula is observing her image in a plane mirror. 
The distance between herself and the mirror is 5 
m. She moves 1 m towards the mirror. The distance 
herself and her image now is:
(1) 1 m (2) 4 m
(3) 8 m (4) 10 m
69. A pendulum oscillates 30 times in 3 seconds. Choose 
the correct statement from the following:
(1) It’s time period is 10 s and frequency is 3 Hz.
(2) It’s time period is 0.1 s and frequency is 10 Hz.
(3) It’s time period is 10 s and frequency is 0.3 Hz.
(4) It’s time period is 0.3 s and frequency is 0.3 Hz.
70. Identify the incorrect statement.
(1) Ball bearings are used to increase friction 
between parts of a machine.
(2) Friction between two surfaces in contact can 
never be eliminated on earth.
(3) Rolling friction is less than sliding friction.
(4) The friction force on an object moving through a 
fluid depends upon its shape.
71. Which of the following statements is/are correct?
A. Iron can replace zinc from zinc sulphate solution.
B. Zinc can replace copper from copper sulphate 
solution.
C. Copper can replace Iron from Iron sulphate 
solution.
(1) Only A (2) Only B
(3) A and B (4) B and C
72. Identify the correct statement from the following:
(1) Clinical Thermometer can be used to measure 
the temperature of boiling liquids.
(2) Room thermometers have a range form 30°C to 
100°C.
(3) Laboratory thermometers have a range from 
35°C to 42°C.
(4) The range of a laboratory thermometer is greater 
than that of a clinical thermometer.
73. Identify the incorrect statement.
(1) The calorific value of Kerosene is more than that 
of Coal.
(2) The calorific value of coal is more than that of 
Wood.
(3) The calorific value of Biogas is more than that of 
LPG.
(4) The calorific value of CNG is more than that of 
Diesel.
74. A bus travels at a speed of 50 km/h for 12 minutes & 
then at a speed of 40 km/h for the next 18 minutes. 
T otal distance covered by the bus during this time is:
(1) 20 km (2) 22 km
(3) 24 km (4) 28 km
75. Identify the incorrect statement among the 
following:
(1) The motion of earth around its axis is periodic 
motion.
(2) The motion of light is rectilinear motion.
(3) The motion of plucked string of a sitar is 
oscillatory motion.
(4) All periodic motions are circular motions.
76. Which of the following statements is/are correct 
regarding image formation in plane minor?
A. Image is erect.
B. Image is real.
C. Image is laterally inverted.
D. The image size is same that of object.
(1) A,B,C  (2) A,C,D
(3) B,C,D (4) A.B,D
77. Which of the following is a NOT true w.r.t. the 
nature of Science?
(1) Science is an interdisciplinary area of learning.
(2) Science is always tentative.
(3) Science promotes scepticism.
(4) Science is equivalent to a set of facts.
78. As per NCF 2005, good Science education should be 
the:
(1) true to science teacher
(2) true to the child
(3) true to the environment of the school
(4) true to the classroom culture
79. Which of the following validities of a good science 
education curriculum is satisfied by Activity and 
Experiment?
(1) Cognitive (2) Historical
(3) Environmental (4) Process
80. Anu took her class VIII children to field trip. Which 
of the following could be the most appropriate 
objective/s for this activity?
A. It encourages interaction among children.
B. It promotes process skills through concrete 
experiences.
C. It enhances observation skills among the 
children.
D. It breaks the monotony of class as well as of 
teacher.
(1) A, B and C (2) B and C only
(3) A, C and D (4) A and C only
81. Which of the following should NOT be an objective 
of science education at the upper primary level?
(1) Nurturing the natural curiosity of children.
(2) Inculcating the values of co-operation and 
concern for life.
(3) Cultivating scientific temper.
(4) Emphasising the textbook definitions of concepts.