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.
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