Page 1
Time: 2 hours 30 mins. Total Marks: 150
GENERAL INSTRUCTIONS
1. Read all the instructions on the question paper carefully before you start attempting the questions.
2. 1 mark is awarded to correct Answer.
3. Ensure that the question paper code mentioned on the question paper matches the code on your
admit card.Make sure you use the correct answer sheet for your paper. The answer sheet will have
fields for your personal information, roll number, and other details.
4. Only one response should be marked for each question. If you mark multiple responses for a single
question, it might be considered as incorrect.
Child Development and Pedagogy
Directions: Answer the following questions by selecting the
correct/most appropriate option.
1. A conductive classroom environment for learning in
middle classes centres around ................... .
(1) co-operative learning
(2) fear of punishment and embarrassment
(3) competitive ethos
(4) conditioning and reinforcement
2. How can a teacher help Aman who is struggling with
complex problems develop problem-solving skills ?
(1) Tell him to give up on the problem
(2) Encourage him to brainstorm and generate ideas
(3) Discourage him from experimenting and taking
risk
(4) Provide him with the answers
3. The underlying principle of ‘understanding-based’
teaching is the belief that :
(1) learners are passive recipients and the teacher
has the ‘right’ knowledge.
(2) learners’ abilities and needs are diverse which
cannnot be catered to without focusing on
standard instructions.
(3) learners can construct knowledge when provided
with a facilitative environment to do so.
(4) learners know little and teaching involves
transmission of facts to students.
4. Students struggling with ‘dyslexia’ can be taught to
read :
(1) by providing higher grade level reading texts.
(2) by encouraging them to study in multiple
distractions.
(3) through use of strict punishment to ensure
corrective reading.
(4) through systemic phonological training.
5. Sibling relationships :
(1) are similar to relationships with parents and
peers and play an important role in socialization
throughout childhood.
(2) are different than relationships with parents and
peers and play an important role in socialization
throughout childhood.
(3) play an important role only during early
childhood.
(4) do not have much role in socialization.
6. Read the following statements and choose the
correct option :
Assertion (A) : Considerable variations exist in
developmental rates among children.
Reason (R) : Developmental differences are an
inevitable result to complex interaction of genetic
and experiential variations.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
7. Which principle of development is illustrated in the
following statement ?
“Children who are deprived of a conducive
environment for learning language in their early
years have some difficulty in picking language later
in life.”
(1) Language and cognition are complexly
interrelated.
(2) Development of language is totally dependent
on genetics.
(3) Development is disorderly and unpredictable.
(4) There is sensitive period of language
development.
8. Which of the following questions promotes critical
and creative thinking in children?
(1) Where does water come from in our city?
(2) Which can be the best way to save water and why?
(3) How many states and how many capitals are
there in your country ?
(4) What is the name of your country and its
geographical location on the map ?
9. What does inclusive education entail ?
(1) Segregation and categorisation of students on
the basis of their abilities.
(2) Standard curriculum for all learners.
(3) Provisioning of only vocational education to
learners with special needs.
(4) Flexibility in the curriculum as a result of
recognition of individual differences.
CTET SOLVED PAPERS
Paper - 2 (Mathematics & Science)
20th August, 2023
Page 2
Time: 2 hours 30 mins. Total Marks: 150
GENERAL INSTRUCTIONS
1. Read all the instructions on the question paper carefully before you start attempting the questions.
2. 1 mark is awarded to correct Answer.
3. Ensure that the question paper code mentioned on the question paper matches the code on your
admit card.Make sure you use the correct answer sheet for your paper. The answer sheet will have
fields for your personal information, roll number, and other details.
4. Only one response should be marked for each question. If you mark multiple responses for a single
question, it might be considered as incorrect.
Child Development and Pedagogy
Directions: Answer the following questions by selecting the
correct/most appropriate option.
1. A conductive classroom environment for learning in
middle classes centres around ................... .
(1) co-operative learning
(2) fear of punishment and embarrassment
(3) competitive ethos
(4) conditioning and reinforcement
2. How can a teacher help Aman who is struggling with
complex problems develop problem-solving skills ?
(1) Tell him to give up on the problem
(2) Encourage him to brainstorm and generate ideas
(3) Discourage him from experimenting and taking
risk
(4) Provide him with the answers
3. The underlying principle of ‘understanding-based’
teaching is the belief that :
(1) learners are passive recipients and the teacher
has the ‘right’ knowledge.
(2) learners’ abilities and needs are diverse which
cannnot be catered to without focusing on
standard instructions.
(3) learners can construct knowledge when provided
with a facilitative environment to do so.
(4) learners know little and teaching involves
transmission of facts to students.
4. Students struggling with ‘dyslexia’ can be taught to
read :
(1) by providing higher grade level reading texts.
(2) by encouraging them to study in multiple
distractions.
(3) through use of strict punishment to ensure
corrective reading.
(4) through systemic phonological training.
5. Sibling relationships :
(1) are similar to relationships with parents and
peers and play an important role in socialization
throughout childhood.
(2) are different than relationships with parents and
peers and play an important role in socialization
throughout childhood.
(3) play an important role only during early
childhood.
(4) do not have much role in socialization.
6. Read the following statements and choose the
correct option :
Assertion (A) : Considerable variations exist in
developmental rates among children.
Reason (R) : Developmental differences are an
inevitable result to complex interaction of genetic
and experiential variations.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
7. Which principle of development is illustrated in the
following statement ?
“Children who are deprived of a conducive
environment for learning language in their early
years have some difficulty in picking language later
in life.”
(1) Language and cognition are complexly
interrelated.
(2) Development of language is totally dependent
on genetics.
(3) Development is disorderly and unpredictable.
(4) There is sensitive period of language
development.
8. Which of the following questions promotes critical
and creative thinking in children?
(1) Where does water come from in our city?
(2) Which can be the best way to save water and why?
(3) How many states and how many capitals are
there in your country ?
(4) What is the name of your country and its
geographical location on the map ?
9. What does inclusive education entail ?
(1) Segregation and categorisation of students on
the basis of their abilities.
(2) Standard curriculum for all learners.
(3) Provisioning of only vocational education to
learners with special needs.
(4) Flexibility in the curriculum as a result of
recognition of individual differences.
CTET SOLVED PAPERS
Paper - 2 (Mathematics & Science)
20th August, 2023
10. What is the role of evidence in critical thinking ?
(1) Evidence should be accepted without analysis.
(2) Evidence should be evaluated in a logical and
systematic way.
(3) Evidence is irrelevant to critical thinking.
(4) Evidence should be ignored in favour of personal
opinion.
11. Read the following statements and choose the
correction option :
Assertion (A) : Jean Piaget and Lev Vygotsky differ
in their perspective on the influence of language on
cognitive development in children.
Reason (R) : In discovery learning, teacher provides
opportunities and students derive information for
themselves.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
12. In a progressive classroom, the students :
A. do not ask many questions.
B. ask questions to the teacher.
C. ask questions to each other.
D. ask themselves questions.
Choose the correct option :
(1) B and C (2) B and D
(3) B, C and D (4) A
13. Expectations associated with being male or female are
referred to as..............and these are learned............... .
(1) gender constancy; initially during adolescence
(2) gender roles; throughout childhood and into
adulthood.
(3) gender stereotypes; only during middle
childhood.
(4) gender bias; mainly during early childhood.
14. Which of the following views about intelligence
supports the respectful consideration of diversity
among learners ?
(1) Intelligence is not influenced by genetic factors.
(2) Intelligence is not influenced by environmental
factors.
(3) IQ tests are the only measure of intelligence.
(4) Intelligence is multidimensional and can change
over time.
15. Who among the following critiqued the concept of
‘general’ intelligence and proposed an alternative
theory of intelligence ?
(1) Howard Gardner (2) Jean Piaget
(3) Lev Vygotsky (4) Charles Spearman
16. Lawrence Kohlberg’s theory has been critiqued by
Carol Gilligan for :
(1) not applying quantitative methods of analysis.
(2) ignoring gender differences in moral reasoning.
(3) presenting a stage-theory of moral development.
(4) collecting data by means of real-life situations.
17. General principles of learning suggest that students
learn better if a teacher :
(1) first discusses what is not known to the student
and then comes to what the student already
knows.
(2) first introduces the concept in its symbolic from
and then moves to its physical form.
(3) first introduces the concept overall and then
moves on the intricacies of it.
(4) first discusses the concepts in terms of logic and
reason and then grants opportunity to verify the
ideas.
18. A teacher wants to help her students develop
metacognitive skills. Which of the following
strategies would be most effective ?
(1) Encouraging students to reflect on their own
learning and evaluate their progress.
(2) Providing frequent grades and feedback to
motivate students.
(3) Assigning texts to students to memorize and
encouraging them to repeat information from
the textbook.
(4) Providing students with detailed and prescriptive
instructions for all learning tasks.
19. Read the following statements and choose the
correct option :
Assertion (A) : Teachers should ask students to
identify their own examples and non-examples of
the concept for strengthening the concept.
Reason (R) : Thinking of examples leads to
strengthening of the concept while non-examples
tend to confuse the students.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
20. Read the following statements and choose the
correction option :
Assertion (A) : Teachers should work hard to break
down students’ stereotypes of particulars ethnic
groups.
Reason (R) : A key educational objective is to enable
students to engage in critical self-reflection.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
21. What is the different between mastery goals and
performance goals ?
(1) Mastery goals are focused on improving one’s
own skills and understanding of a task, while
performance goals are focused on achieving a
high grade or receiving external rewards.
(2) Mastery goals are focused on avoiding failure,
while performance goals are focused on gaining
approval and recognition from others.
(3) Mastery goals are focused on gaining approval
from others, while performance goals are
focused on avoiding failure.
(4) Mastery goals are focused on achieving a certain
level of performance for competing with others,
while performance goals are focused on improving
one’s own skills and understanding of a task.
22. Which of the following is an example of intrinsic
motivation ?
(1) Playing a musical instrument for personal
enjoyment.
(2) Completing the project to impress the teacher.
Page 3
Time: 2 hours 30 mins. Total Marks: 150
GENERAL INSTRUCTIONS
1. Read all the instructions on the question paper carefully before you start attempting the questions.
2. 1 mark is awarded to correct Answer.
3. Ensure that the question paper code mentioned on the question paper matches the code on your
admit card.Make sure you use the correct answer sheet for your paper. The answer sheet will have
fields for your personal information, roll number, and other details.
4. Only one response should be marked for each question. If you mark multiple responses for a single
question, it might be considered as incorrect.
Child Development and Pedagogy
Directions: Answer the following questions by selecting the
correct/most appropriate option.
1. A conductive classroom environment for learning in
middle classes centres around ................... .
(1) co-operative learning
(2) fear of punishment and embarrassment
(3) competitive ethos
(4) conditioning and reinforcement
2. How can a teacher help Aman who is struggling with
complex problems develop problem-solving skills ?
(1) Tell him to give up on the problem
(2) Encourage him to brainstorm and generate ideas
(3) Discourage him from experimenting and taking
risk
(4) Provide him with the answers
3. The underlying principle of ‘understanding-based’
teaching is the belief that :
(1) learners are passive recipients and the teacher
has the ‘right’ knowledge.
(2) learners’ abilities and needs are diverse which
cannnot be catered to without focusing on
standard instructions.
(3) learners can construct knowledge when provided
with a facilitative environment to do so.
(4) learners know little and teaching involves
transmission of facts to students.
4. Students struggling with ‘dyslexia’ can be taught to
read :
(1) by providing higher grade level reading texts.
(2) by encouraging them to study in multiple
distractions.
(3) through use of strict punishment to ensure
corrective reading.
(4) through systemic phonological training.
5. Sibling relationships :
(1) are similar to relationships with parents and
peers and play an important role in socialization
throughout childhood.
(2) are different than relationships with parents and
peers and play an important role in socialization
throughout childhood.
(3) play an important role only during early
childhood.
(4) do not have much role in socialization.
6. Read the following statements and choose the
correct option :
Assertion (A) : Considerable variations exist in
developmental rates among children.
Reason (R) : Developmental differences are an
inevitable result to complex interaction of genetic
and experiential variations.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
7. Which principle of development is illustrated in the
following statement ?
“Children who are deprived of a conducive
environment for learning language in their early
years have some difficulty in picking language later
in life.”
(1) Language and cognition are complexly
interrelated.
(2) Development of language is totally dependent
on genetics.
(3) Development is disorderly and unpredictable.
(4) There is sensitive period of language
development.
8. Which of the following questions promotes critical
and creative thinking in children?
(1) Where does water come from in our city?
(2) Which can be the best way to save water and why?
(3) How many states and how many capitals are
there in your country ?
(4) What is the name of your country and its
geographical location on the map ?
9. What does inclusive education entail ?
(1) Segregation and categorisation of students on
the basis of their abilities.
(2) Standard curriculum for all learners.
(3) Provisioning of only vocational education to
learners with special needs.
(4) Flexibility in the curriculum as a result of
recognition of individual differences.
CTET SOLVED PAPERS
Paper - 2 (Mathematics & Science)
20th August, 2023
10. What is the role of evidence in critical thinking ?
(1) Evidence should be accepted without analysis.
(2) Evidence should be evaluated in a logical and
systematic way.
(3) Evidence is irrelevant to critical thinking.
(4) Evidence should be ignored in favour of personal
opinion.
11. Read the following statements and choose the
correction option :
Assertion (A) : Jean Piaget and Lev Vygotsky differ
in their perspective on the influence of language on
cognitive development in children.
Reason (R) : In discovery learning, teacher provides
opportunities and students derive information for
themselves.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
12. In a progressive classroom, the students :
A. do not ask many questions.
B. ask questions to the teacher.
C. ask questions to each other.
D. ask themselves questions.
Choose the correct option :
(1) B and C (2) B and D
(3) B, C and D (4) A
13. Expectations associated with being male or female are
referred to as..............and these are learned............... .
(1) gender constancy; initially during adolescence
(2) gender roles; throughout childhood and into
adulthood.
(3) gender stereotypes; only during middle
childhood.
(4) gender bias; mainly during early childhood.
14. Which of the following views about intelligence
supports the respectful consideration of diversity
among learners ?
(1) Intelligence is not influenced by genetic factors.
(2) Intelligence is not influenced by environmental
factors.
(3) IQ tests are the only measure of intelligence.
(4) Intelligence is multidimensional and can change
over time.
15. Who among the following critiqued the concept of
‘general’ intelligence and proposed an alternative
theory of intelligence ?
(1) Howard Gardner (2) Jean Piaget
(3) Lev Vygotsky (4) Charles Spearman
16. Lawrence Kohlberg’s theory has been critiqued by
Carol Gilligan for :
(1) not applying quantitative methods of analysis.
(2) ignoring gender differences in moral reasoning.
(3) presenting a stage-theory of moral development.
(4) collecting data by means of real-life situations.
17. General principles of learning suggest that students
learn better if a teacher :
(1) first discusses what is not known to the student
and then comes to what the student already
knows.
(2) first introduces the concept in its symbolic from
and then moves to its physical form.
(3) first introduces the concept overall and then
moves on the intricacies of it.
(4) first discusses the concepts in terms of logic and
reason and then grants opportunity to verify the
ideas.
18. A teacher wants to help her students develop
metacognitive skills. Which of the following
strategies would be most effective ?
(1) Encouraging students to reflect on their own
learning and evaluate their progress.
(2) Providing frequent grades and feedback to
motivate students.
(3) Assigning texts to students to memorize and
encouraging them to repeat information from
the textbook.
(4) Providing students with detailed and prescriptive
instructions for all learning tasks.
19. Read the following statements and choose the
correct option :
Assertion (A) : Teachers should ask students to
identify their own examples and non-examples of
the concept for strengthening the concept.
Reason (R) : Thinking of examples leads to
strengthening of the concept while non-examples
tend to confuse the students.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
20. Read the following statements and choose the
correction option :
Assertion (A) : Teachers should work hard to break
down students’ stereotypes of particulars ethnic
groups.
Reason (R) : A key educational objective is to enable
students to engage in critical self-reflection.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
21. What is the different between mastery goals and
performance goals ?
(1) Mastery goals are focused on improving one’s
own skills and understanding of a task, while
performance goals are focused on achieving a
high grade or receiving external rewards.
(2) Mastery goals are focused on avoiding failure,
while performance goals are focused on gaining
approval and recognition from others.
(3) Mastery goals are focused on gaining approval
from others, while performance goals are
focused on avoiding failure.
(4) Mastery goals are focused on achieving a certain
level of performance for competing with others,
while performance goals are focused on improving
one’s own skills and understanding of a task.
22. Which of the following is an example of intrinsic
motivation ?
(1) Playing a musical instrument for personal
enjoyment.
(2) Completing the project to impress the teacher.
(3) Studying to avoid being scolded.
(4) Participating in a competition for the prize
money.
23. According to Piaget, the four qualitatively different
stages:
(1) illustrate that children's minds are miniature
adult minds.
(2) vary vastly across the various cultures in the
world.
(3) are dependent upon the genetic codes of the
children.
(4) represent universal patterns of development of
children.
24. Lev Vygotsky believed that development:
(1) is an unfolding of genetic programming.
(2) is discontinuous in nature.
(3) results directly from maturation.
(4) results directly from social interaction.
25. Which of the following is a limitation of Piaget's
theory of cognitive development?
(1) It does not account for individual differences in
cognitive development.
(2) It overemphasizes the role of language in
cognitive development.
(3) It does not account for the role of biological
factors in cognitive development.
(4) It does not account for the influence of culture
and social factors on cognitive development.
26. Read the following statements and choose the
correct option :
Assertion (A) : Every year Lata, a Class VII teacher
invites a female maths professor and a male nurse to
her class to discuss careers in these fields.
Reason (R) : Gender differences are innate and not
acquired through society.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
27. Which of the following statements is correct in the
context of hearing impairment ?
(1) All children with hearing impairment need to
use 'sign language' to communicate.
(2) Hearing impairment can affect a child's ability to
communicate effectively.
(3) Hearing impairment of a child can be reliably
tested by making loud noises near the child.
(4) Hearing impairment is always due to a physical
problem with the ear.
28. Which of the following set correctly mentions the
characteristics on which students who are gifted
typically differ from other students in the class ?
A. Advanced depth of understanding
B. Fast pace of learning
C. Higher dependence on others for understanding
D. Rapid physical development
Choose the correct option :
(1) A and C (2) A, B and C
(3) B, C and D (4) A and B
29. In the context of inclusion, curriculum learning
expectations are the same in ............ , while in ......... ,
they are different.
(1) modification; accommodation
(2) enrichment; acceleration
(3) acceleration; enrichment
(4) accommodation; modification
30. According to constructivist theorists, which of the
following statements would not be correct ?
(1) Learners construct knowledge in their social and
cultural context.
(2) Knowledge is subjective.
(3) Learners need to be extrinsically motivated to
ensure effective learning.
(4) Knowledge is pluralistic and multiple.
Mathematics and Science
31. The statement "1 less then or 1 more than a multiple
of 6 are prime number" is an example of :
(1) Theorem (2) Generalisation
(3) Conjecture (4) Axiom
32. A mathematics teacher posed the following problems
to her students :
A. Simrat pays ` 60,000 as rent for three months.
How much will she have to pay for a whole year
if the rent per month remains same ?
B. Cost of three dozen bananas is ` 45. Calculate
the number of bananas that can be purchased of
` 12.50.
C. Joey and Jenny are going to school. Joey started
walking before Jenny. When Joey was at the
third block, Jenny was at the first block. If both
are walking with the same speed, then where
would Jenny be if Joey is at the ninth block ?
Which of the following is correct with respect to the
above three questions ?
(1) B and C are daily life problems based on unitary
method.
(2) Only A is based on unitary method.
(3) A and C are daily life problems based on unitary
method.
(4) A and B are daily life problems based on unitary
method.
33. A teacher in her class discusses various examples
form daily life situations like a railway line crossing
several other lines, a road crossing two or more
roads, alphabets like 'H', 'Z', etc.
Which of the following concept(s) can be introduced
through these examples ?
A. Line segment
B. T ransversal
C. Parallel lines
D. Right angles
Choose the correct option :
(1) Only A (2) B and C
(3) A and D (4) Only B
34. Which among the following is the most appropriate
way to teach mathematics ?
(1) Find the low performers and make them sit in
the front row of the class.
(2) Find the gaps in learning and address them only.
(3) Teach every student with the same approach.
Page 4
Time: 2 hours 30 mins. Total Marks: 150
GENERAL INSTRUCTIONS
1. Read all the instructions on the question paper carefully before you start attempting the questions.
2. 1 mark is awarded to correct Answer.
3. Ensure that the question paper code mentioned on the question paper matches the code on your
admit card.Make sure you use the correct answer sheet for your paper. The answer sheet will have
fields for your personal information, roll number, and other details.
4. Only one response should be marked for each question. If you mark multiple responses for a single
question, it might be considered as incorrect.
Child Development and Pedagogy
Directions: Answer the following questions by selecting the
correct/most appropriate option.
1. A conductive classroom environment for learning in
middle classes centres around ................... .
(1) co-operative learning
(2) fear of punishment and embarrassment
(3) competitive ethos
(4) conditioning and reinforcement
2. How can a teacher help Aman who is struggling with
complex problems develop problem-solving skills ?
(1) Tell him to give up on the problem
(2) Encourage him to brainstorm and generate ideas
(3) Discourage him from experimenting and taking
risk
(4) Provide him with the answers
3. The underlying principle of ‘understanding-based’
teaching is the belief that :
(1) learners are passive recipients and the teacher
has the ‘right’ knowledge.
(2) learners’ abilities and needs are diverse which
cannnot be catered to without focusing on
standard instructions.
(3) learners can construct knowledge when provided
with a facilitative environment to do so.
(4) learners know little and teaching involves
transmission of facts to students.
4. Students struggling with ‘dyslexia’ can be taught to
read :
(1) by providing higher grade level reading texts.
(2) by encouraging them to study in multiple
distractions.
(3) through use of strict punishment to ensure
corrective reading.
(4) through systemic phonological training.
5. Sibling relationships :
(1) are similar to relationships with parents and
peers and play an important role in socialization
throughout childhood.
(2) are different than relationships with parents and
peers and play an important role in socialization
throughout childhood.
(3) play an important role only during early
childhood.
(4) do not have much role in socialization.
6. Read the following statements and choose the
correct option :
Assertion (A) : Considerable variations exist in
developmental rates among children.
Reason (R) : Developmental differences are an
inevitable result to complex interaction of genetic
and experiential variations.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
7. Which principle of development is illustrated in the
following statement ?
“Children who are deprived of a conducive
environment for learning language in their early
years have some difficulty in picking language later
in life.”
(1) Language and cognition are complexly
interrelated.
(2) Development of language is totally dependent
on genetics.
(3) Development is disorderly and unpredictable.
(4) There is sensitive period of language
development.
8. Which of the following questions promotes critical
and creative thinking in children?
(1) Where does water come from in our city?
(2) Which can be the best way to save water and why?
(3) How many states and how many capitals are
there in your country ?
(4) What is the name of your country and its
geographical location on the map ?
9. What does inclusive education entail ?
(1) Segregation and categorisation of students on
the basis of their abilities.
(2) Standard curriculum for all learners.
(3) Provisioning of only vocational education to
learners with special needs.
(4) Flexibility in the curriculum as a result of
recognition of individual differences.
CTET SOLVED PAPERS
Paper - 2 (Mathematics & Science)
20th August, 2023
10. What is the role of evidence in critical thinking ?
(1) Evidence should be accepted without analysis.
(2) Evidence should be evaluated in a logical and
systematic way.
(3) Evidence is irrelevant to critical thinking.
(4) Evidence should be ignored in favour of personal
opinion.
11. Read the following statements and choose the
correction option :
Assertion (A) : Jean Piaget and Lev Vygotsky differ
in their perspective on the influence of language on
cognitive development in children.
Reason (R) : In discovery learning, teacher provides
opportunities and students derive information for
themselves.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
12. In a progressive classroom, the students :
A. do not ask many questions.
B. ask questions to the teacher.
C. ask questions to each other.
D. ask themselves questions.
Choose the correct option :
(1) B and C (2) B and D
(3) B, C and D (4) A
13. Expectations associated with being male or female are
referred to as..............and these are learned............... .
(1) gender constancy; initially during adolescence
(2) gender roles; throughout childhood and into
adulthood.
(3) gender stereotypes; only during middle
childhood.
(4) gender bias; mainly during early childhood.
14. Which of the following views about intelligence
supports the respectful consideration of diversity
among learners ?
(1) Intelligence is not influenced by genetic factors.
(2) Intelligence is not influenced by environmental
factors.
(3) IQ tests are the only measure of intelligence.
(4) Intelligence is multidimensional and can change
over time.
15. Who among the following critiqued the concept of
‘general’ intelligence and proposed an alternative
theory of intelligence ?
(1) Howard Gardner (2) Jean Piaget
(3) Lev Vygotsky (4) Charles Spearman
16. Lawrence Kohlberg’s theory has been critiqued by
Carol Gilligan for :
(1) not applying quantitative methods of analysis.
(2) ignoring gender differences in moral reasoning.
(3) presenting a stage-theory of moral development.
(4) collecting data by means of real-life situations.
17. General principles of learning suggest that students
learn better if a teacher :
(1) first discusses what is not known to the student
and then comes to what the student already
knows.
(2) first introduces the concept in its symbolic from
and then moves to its physical form.
(3) first introduces the concept overall and then
moves on the intricacies of it.
(4) first discusses the concepts in terms of logic and
reason and then grants opportunity to verify the
ideas.
18. A teacher wants to help her students develop
metacognitive skills. Which of the following
strategies would be most effective ?
(1) Encouraging students to reflect on their own
learning and evaluate their progress.
(2) Providing frequent grades and feedback to
motivate students.
(3) Assigning texts to students to memorize and
encouraging them to repeat information from
the textbook.
(4) Providing students with detailed and prescriptive
instructions for all learning tasks.
19. Read the following statements and choose the
correct option :
Assertion (A) : Teachers should ask students to
identify their own examples and non-examples of
the concept for strengthening the concept.
Reason (R) : Thinking of examples leads to
strengthening of the concept while non-examples
tend to confuse the students.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
20. Read the following statements and choose the
correction option :
Assertion (A) : Teachers should work hard to break
down students’ stereotypes of particulars ethnic
groups.
Reason (R) : A key educational objective is to enable
students to engage in critical self-reflection.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
21. What is the different between mastery goals and
performance goals ?
(1) Mastery goals are focused on improving one’s
own skills and understanding of a task, while
performance goals are focused on achieving a
high grade or receiving external rewards.
(2) Mastery goals are focused on avoiding failure,
while performance goals are focused on gaining
approval and recognition from others.
(3) Mastery goals are focused on gaining approval
from others, while performance goals are
focused on avoiding failure.
(4) Mastery goals are focused on achieving a certain
level of performance for competing with others,
while performance goals are focused on improving
one’s own skills and understanding of a task.
22. Which of the following is an example of intrinsic
motivation ?
(1) Playing a musical instrument for personal
enjoyment.
(2) Completing the project to impress the teacher.
(3) Studying to avoid being scolded.
(4) Participating in a competition for the prize
money.
23. According to Piaget, the four qualitatively different
stages:
(1) illustrate that children's minds are miniature
adult minds.
(2) vary vastly across the various cultures in the
world.
(3) are dependent upon the genetic codes of the
children.
(4) represent universal patterns of development of
children.
24. Lev Vygotsky believed that development:
(1) is an unfolding of genetic programming.
(2) is discontinuous in nature.
(3) results directly from maturation.
(4) results directly from social interaction.
25. Which of the following is a limitation of Piaget's
theory of cognitive development?
(1) It does not account for individual differences in
cognitive development.
(2) It overemphasizes the role of language in
cognitive development.
(3) It does not account for the role of biological
factors in cognitive development.
(4) It does not account for the influence of culture
and social factors on cognitive development.
26. Read the following statements and choose the
correct option :
Assertion (A) : Every year Lata, a Class VII teacher
invites a female maths professor and a male nurse to
her class to discuss careers in these fields.
Reason (R) : Gender differences are innate and not
acquired through society.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
27. Which of the following statements is correct in the
context of hearing impairment ?
(1) All children with hearing impairment need to
use 'sign language' to communicate.
(2) Hearing impairment can affect a child's ability to
communicate effectively.
(3) Hearing impairment of a child can be reliably
tested by making loud noises near the child.
(4) Hearing impairment is always due to a physical
problem with the ear.
28. Which of the following set correctly mentions the
characteristics on which students who are gifted
typically differ from other students in the class ?
A. Advanced depth of understanding
B. Fast pace of learning
C. Higher dependence on others for understanding
D. Rapid physical development
Choose the correct option :
(1) A and C (2) A, B and C
(3) B, C and D (4) A and B
29. In the context of inclusion, curriculum learning
expectations are the same in ............ , while in ......... ,
they are different.
(1) modification; accommodation
(2) enrichment; acceleration
(3) acceleration; enrichment
(4) accommodation; modification
30. According to constructivist theorists, which of the
following statements would not be correct ?
(1) Learners construct knowledge in their social and
cultural context.
(2) Knowledge is subjective.
(3) Learners need to be extrinsically motivated to
ensure effective learning.
(4) Knowledge is pluralistic and multiple.
Mathematics and Science
31. The statement "1 less then or 1 more than a multiple
of 6 are prime number" is an example of :
(1) Theorem (2) Generalisation
(3) Conjecture (4) Axiom
32. A mathematics teacher posed the following problems
to her students :
A. Simrat pays ` 60,000 as rent for three months.
How much will she have to pay for a whole year
if the rent per month remains same ?
B. Cost of three dozen bananas is ` 45. Calculate
the number of bananas that can be purchased of
` 12.50.
C. Joey and Jenny are going to school. Joey started
walking before Jenny. When Joey was at the
third block, Jenny was at the first block. If both
are walking with the same speed, then where
would Jenny be if Joey is at the ninth block ?
Which of the following is correct with respect to the
above three questions ?
(1) B and C are daily life problems based on unitary
method.
(2) Only A is based on unitary method.
(3) A and C are daily life problems based on unitary
method.
(4) A and B are daily life problems based on unitary
method.
33. A teacher in her class discusses various examples
form daily life situations like a railway line crossing
several other lines, a road crossing two or more
roads, alphabets like 'H', 'Z', etc.
Which of the following concept(s) can be introduced
through these examples ?
A. Line segment
B. T ransversal
C. Parallel lines
D. Right angles
Choose the correct option :
(1) Only A (2) B and C
(3) A and D (4) Only B
34. Which among the following is the most appropriate
way to teach mathematics ?
(1) Find the low performers and make them sit in
the front row of the class.
(2) Find the gaps in learning and address them only.
(3) Teach every student with the same approach.
(4) Motivate the learners to develop their existing
capabilities.
35. Which of the following is true for Continuous and
Comprehensive Evaluation (CCE) ?
(1) For CCE, teachers feel that each one of them
has to give some home assignment every day to
assess children's learning.
(2) In CCE, assessment process includes assessment
of previous knowledge, understanding level
process.
(3) CCE is all about converting marks into grades.
(4) In CCE, there is more testing and less teaching.
36. Which of the following is/are essential features of a
concept map in mathematics ?
A. It represents a conceptual analysis of a concept
using contributory sub-concepts.
B. They are directional, with arrows showing which
concepts are prerequisite for which others.
C. They cannot be used for diagnostic purposes
to identify difficulties in learning a particular
concept.
D. They cannot be used frequently as they are very
time consuming.
Choose the correct option :
(1) Only C (2) B and D
(3) C and D (4) A and B
37. Which of the following is not true about nature of
mathematics ?
(1) Primary concepts in mathematics are abstract in
nature.
(2) Mathematics at school level requires special
aptitude in learners.
(3) Mathematics is based on deductive reasoning.
(4) Mathematics is much more abstract and
hierarchic than most of the other subjects which
children learn at the same age.
38. Which of the following statements are appropriate
regarding "Argumentation" in a mathematics
classroom ?
A. It can be understood as a line of reasoning that
intends to show or explain why a mathematical
result is true.
B. It is always helpful in mathematics in the same
manner as in other empirical disciplines.
C. It can also be a part of the heuristic approach in
mathematics education.
D. It is less useful for elementary grade students as
its assessment will be difficult.
Choose the correct option :
(1) B and C (2) A and C
(3) A and B (4) A and D
39. A conjecture in mathematics is :
(1) a proposition or conclusion that has been
proved.
(2) not important at all as it does not help in
developing mathematical understanding.
(3) important for students of secondary level only.
(4) a proposition or conclusion that is assumed to be
true on a tentative basis without proof.
40. Which of the following statements is not correct
with regard to a mathematics textbook ?
(1) A mathematics textbook should have solved
examples only.
(2) Example in a mathematics textbook should be
related to daily life of the students.
(3) A textbook of mathematics should not be very
thick or heavy.
(4) A mathematics textbook should have varied
exercise to give practice to students.
41. If x =
198 550 ×
and y =
99 363
33
×
, then
11
xy
+
is
equal to :
(1)
003 .
(2)
001 .
(3)
033 .
(4)
01 .
42. If p = (12.34 × 10
10
) – (5.67 × 10
9
), then p is expressed
in standard form as :
(1) 1.1773 × 10
10
(2) 1.1773 × 10
11
(3) 1.773 × 10
11
(4) 1.773 × 10
10
43. If 313632 = p
2
× q
5
= r
4
, where p, q and r are prime
numbers, then what is the value of (p + q – 2r) ?
(1) 7 (2) 8
(3) 9 (4) 6
44. By which number should
-
?
?
?
?
?
?
-
1
4
1
be multiplied so
that the product is the reciprocal of
7
4
1
?
(1)
16
7
(2)
7
16
(3)
-
16
7
(4)
-
7
16
45. P is a point on line AB and PQ is a ray such that
? QPA = 7x and ? QPB = 5x. Then, the value of
(8x – 10°) is :
(1) 110° (2) 118°
(3) 140° (4) 102°
46. S is a point on side PQ of a triangle PQR such that
RS = PS = QS. If ? QPR = 15°, then the value of
(2 ? PQR – ? PRQ) is :
(1) 60° (2) 50°
(3) 45° (4) 75°
47. When a shopkeeper sells item A for ` 384, then there
is a loss of 20% and when he sells item B for ` 400,
then there is profit of 25%. What is the profit/loss
percent, if he sells both items for a total of ` 852 ?
(1) Loss, 5% (2) Profit, 6.5%
(3) Loss, 7% (4) Profit, 7.5%
48. A sum of ` 12,000 amounts to ` 15,972 at a certain
rate percent per annum in
1
1
2
years, when the
interest is compounded half-yearly. What will be the
amount of the same sum in same time and with the
same rate, if interest is compounded annually ?
(1) ` 15,420 (2) ` 15,480
(3) ` 15,950 (4) ` 14,520
49. If 5x
2
– 8y – 20x + 2xy = (x + a) (bx + 2y), then the
value of (a – b) is :
(1) – 1 (2) 9
(3) – 9 (4) 1
Page 5
Time: 2 hours 30 mins. Total Marks: 150
GENERAL INSTRUCTIONS
1. Read all the instructions on the question paper carefully before you start attempting the questions.
2. 1 mark is awarded to correct Answer.
3. Ensure that the question paper code mentioned on the question paper matches the code on your
admit card.Make sure you use the correct answer sheet for your paper. The answer sheet will have
fields for your personal information, roll number, and other details.
4. Only one response should be marked for each question. If you mark multiple responses for a single
question, it might be considered as incorrect.
Child Development and Pedagogy
Directions: Answer the following questions by selecting the
correct/most appropriate option.
1. A conductive classroom environment for learning in
middle classes centres around ................... .
(1) co-operative learning
(2) fear of punishment and embarrassment
(3) competitive ethos
(4) conditioning and reinforcement
2. How can a teacher help Aman who is struggling with
complex problems develop problem-solving skills ?
(1) Tell him to give up on the problem
(2) Encourage him to brainstorm and generate ideas
(3) Discourage him from experimenting and taking
risk
(4) Provide him with the answers
3. The underlying principle of ‘understanding-based’
teaching is the belief that :
(1) learners are passive recipients and the teacher
has the ‘right’ knowledge.
(2) learners’ abilities and needs are diverse which
cannnot be catered to without focusing on
standard instructions.
(3) learners can construct knowledge when provided
with a facilitative environment to do so.
(4) learners know little and teaching involves
transmission of facts to students.
4. Students struggling with ‘dyslexia’ can be taught to
read :
(1) by providing higher grade level reading texts.
(2) by encouraging them to study in multiple
distractions.
(3) through use of strict punishment to ensure
corrective reading.
(4) through systemic phonological training.
5. Sibling relationships :
(1) are similar to relationships with parents and
peers and play an important role in socialization
throughout childhood.
(2) are different than relationships with parents and
peers and play an important role in socialization
throughout childhood.
(3) play an important role only during early
childhood.
(4) do not have much role in socialization.
6. Read the following statements and choose the
correct option :
Assertion (A) : Considerable variations exist in
developmental rates among children.
Reason (R) : Developmental differences are an
inevitable result to complex interaction of genetic
and experiential variations.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
7. Which principle of development is illustrated in the
following statement ?
“Children who are deprived of a conducive
environment for learning language in their early
years have some difficulty in picking language later
in life.”
(1) Language and cognition are complexly
interrelated.
(2) Development of language is totally dependent
on genetics.
(3) Development is disorderly and unpredictable.
(4) There is sensitive period of language
development.
8. Which of the following questions promotes critical
and creative thinking in children?
(1) Where does water come from in our city?
(2) Which can be the best way to save water and why?
(3) How many states and how many capitals are
there in your country ?
(4) What is the name of your country and its
geographical location on the map ?
9. What does inclusive education entail ?
(1) Segregation and categorisation of students on
the basis of their abilities.
(2) Standard curriculum for all learners.
(3) Provisioning of only vocational education to
learners with special needs.
(4) Flexibility in the curriculum as a result of
recognition of individual differences.
CTET SOLVED PAPERS
Paper - 2 (Mathematics & Science)
20th August, 2023
10. What is the role of evidence in critical thinking ?
(1) Evidence should be accepted without analysis.
(2) Evidence should be evaluated in a logical and
systematic way.
(3) Evidence is irrelevant to critical thinking.
(4) Evidence should be ignored in favour of personal
opinion.
11. Read the following statements and choose the
correction option :
Assertion (A) : Jean Piaget and Lev Vygotsky differ
in their perspective on the influence of language on
cognitive development in children.
Reason (R) : In discovery learning, teacher provides
opportunities and students derive information for
themselves.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
12. In a progressive classroom, the students :
A. do not ask many questions.
B. ask questions to the teacher.
C. ask questions to each other.
D. ask themselves questions.
Choose the correct option :
(1) B and C (2) B and D
(3) B, C and D (4) A
13. Expectations associated with being male or female are
referred to as..............and these are learned............... .
(1) gender constancy; initially during adolescence
(2) gender roles; throughout childhood and into
adulthood.
(3) gender stereotypes; only during middle
childhood.
(4) gender bias; mainly during early childhood.
14. Which of the following views about intelligence
supports the respectful consideration of diversity
among learners ?
(1) Intelligence is not influenced by genetic factors.
(2) Intelligence is not influenced by environmental
factors.
(3) IQ tests are the only measure of intelligence.
(4) Intelligence is multidimensional and can change
over time.
15. Who among the following critiqued the concept of
‘general’ intelligence and proposed an alternative
theory of intelligence ?
(1) Howard Gardner (2) Jean Piaget
(3) Lev Vygotsky (4) Charles Spearman
16. Lawrence Kohlberg’s theory has been critiqued by
Carol Gilligan for :
(1) not applying quantitative methods of analysis.
(2) ignoring gender differences in moral reasoning.
(3) presenting a stage-theory of moral development.
(4) collecting data by means of real-life situations.
17. General principles of learning suggest that students
learn better if a teacher :
(1) first discusses what is not known to the student
and then comes to what the student already
knows.
(2) first introduces the concept in its symbolic from
and then moves to its physical form.
(3) first introduces the concept overall and then
moves on the intricacies of it.
(4) first discusses the concepts in terms of logic and
reason and then grants opportunity to verify the
ideas.
18. A teacher wants to help her students develop
metacognitive skills. Which of the following
strategies would be most effective ?
(1) Encouraging students to reflect on their own
learning and evaluate their progress.
(2) Providing frequent grades and feedback to
motivate students.
(3) Assigning texts to students to memorize and
encouraging them to repeat information from
the textbook.
(4) Providing students with detailed and prescriptive
instructions for all learning tasks.
19. Read the following statements and choose the
correct option :
Assertion (A) : Teachers should ask students to
identify their own examples and non-examples of
the concept for strengthening the concept.
Reason (R) : Thinking of examples leads to
strengthening of the concept while non-examples
tend to confuse the students.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
20. Read the following statements and choose the
correction option :
Assertion (A) : Teachers should work hard to break
down students’ stereotypes of particulars ethnic
groups.
Reason (R) : A key educational objective is to enable
students to engage in critical self-reflection.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
21. What is the different between mastery goals and
performance goals ?
(1) Mastery goals are focused on improving one’s
own skills and understanding of a task, while
performance goals are focused on achieving a
high grade or receiving external rewards.
(2) Mastery goals are focused on avoiding failure,
while performance goals are focused on gaining
approval and recognition from others.
(3) Mastery goals are focused on gaining approval
from others, while performance goals are
focused on avoiding failure.
(4) Mastery goals are focused on achieving a certain
level of performance for competing with others,
while performance goals are focused on improving
one’s own skills and understanding of a task.
22. Which of the following is an example of intrinsic
motivation ?
(1) Playing a musical instrument for personal
enjoyment.
(2) Completing the project to impress the teacher.
(3) Studying to avoid being scolded.
(4) Participating in a competition for the prize
money.
23. According to Piaget, the four qualitatively different
stages:
(1) illustrate that children's minds are miniature
adult minds.
(2) vary vastly across the various cultures in the
world.
(3) are dependent upon the genetic codes of the
children.
(4) represent universal patterns of development of
children.
24. Lev Vygotsky believed that development:
(1) is an unfolding of genetic programming.
(2) is discontinuous in nature.
(3) results directly from maturation.
(4) results directly from social interaction.
25. Which of the following is a limitation of Piaget's
theory of cognitive development?
(1) It does not account for individual differences in
cognitive development.
(2) It overemphasizes the role of language in
cognitive development.
(3) It does not account for the role of biological
factors in cognitive development.
(4) It does not account for the influence of culture
and social factors on cognitive development.
26. Read the following statements and choose the
correct option :
Assertion (A) : Every year Lata, a Class VII teacher
invites a female maths professor and a male nurse to
her class to discuss careers in these fields.
Reason (R) : Gender differences are innate and not
acquired through society.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) Both (A) and (R) are false.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
27. Which of the following statements is correct in the
context of hearing impairment ?
(1) All children with hearing impairment need to
use 'sign language' to communicate.
(2) Hearing impairment can affect a child's ability to
communicate effectively.
(3) Hearing impairment of a child can be reliably
tested by making loud noises near the child.
(4) Hearing impairment is always due to a physical
problem with the ear.
28. Which of the following set correctly mentions the
characteristics on which students who are gifted
typically differ from other students in the class ?
A. Advanced depth of understanding
B. Fast pace of learning
C. Higher dependence on others for understanding
D. Rapid physical development
Choose the correct option :
(1) A and C (2) A, B and C
(3) B, C and D (4) A and B
29. In the context of inclusion, curriculum learning
expectations are the same in ............ , while in ......... ,
they are different.
(1) modification; accommodation
(2) enrichment; acceleration
(3) acceleration; enrichment
(4) accommodation; modification
30. According to constructivist theorists, which of the
following statements would not be correct ?
(1) Learners construct knowledge in their social and
cultural context.
(2) Knowledge is subjective.
(3) Learners need to be extrinsically motivated to
ensure effective learning.
(4) Knowledge is pluralistic and multiple.
Mathematics and Science
31. The statement "1 less then or 1 more than a multiple
of 6 are prime number" is an example of :
(1) Theorem (2) Generalisation
(3) Conjecture (4) Axiom
32. A mathematics teacher posed the following problems
to her students :
A. Simrat pays ` 60,000 as rent for three months.
How much will she have to pay for a whole year
if the rent per month remains same ?
B. Cost of three dozen bananas is ` 45. Calculate
the number of bananas that can be purchased of
` 12.50.
C. Joey and Jenny are going to school. Joey started
walking before Jenny. When Joey was at the
third block, Jenny was at the first block. If both
are walking with the same speed, then where
would Jenny be if Joey is at the ninth block ?
Which of the following is correct with respect to the
above three questions ?
(1) B and C are daily life problems based on unitary
method.
(2) Only A is based on unitary method.
(3) A and C are daily life problems based on unitary
method.
(4) A and B are daily life problems based on unitary
method.
33. A teacher in her class discusses various examples
form daily life situations like a railway line crossing
several other lines, a road crossing two or more
roads, alphabets like 'H', 'Z', etc.
Which of the following concept(s) can be introduced
through these examples ?
A. Line segment
B. T ransversal
C. Parallel lines
D. Right angles
Choose the correct option :
(1) Only A (2) B and C
(3) A and D (4) Only B
34. Which among the following is the most appropriate
way to teach mathematics ?
(1) Find the low performers and make them sit in
the front row of the class.
(2) Find the gaps in learning and address them only.
(3) Teach every student with the same approach.
(4) Motivate the learners to develop their existing
capabilities.
35. Which of the following is true for Continuous and
Comprehensive Evaluation (CCE) ?
(1) For CCE, teachers feel that each one of them
has to give some home assignment every day to
assess children's learning.
(2) In CCE, assessment process includes assessment
of previous knowledge, understanding level
process.
(3) CCE is all about converting marks into grades.
(4) In CCE, there is more testing and less teaching.
36. Which of the following is/are essential features of a
concept map in mathematics ?
A. It represents a conceptual analysis of a concept
using contributory sub-concepts.
B. They are directional, with arrows showing which
concepts are prerequisite for which others.
C. They cannot be used for diagnostic purposes
to identify difficulties in learning a particular
concept.
D. They cannot be used frequently as they are very
time consuming.
Choose the correct option :
(1) Only C (2) B and D
(3) C and D (4) A and B
37. Which of the following is not true about nature of
mathematics ?
(1) Primary concepts in mathematics are abstract in
nature.
(2) Mathematics at school level requires special
aptitude in learners.
(3) Mathematics is based on deductive reasoning.
(4) Mathematics is much more abstract and
hierarchic than most of the other subjects which
children learn at the same age.
38. Which of the following statements are appropriate
regarding "Argumentation" in a mathematics
classroom ?
A. It can be understood as a line of reasoning that
intends to show or explain why a mathematical
result is true.
B. It is always helpful in mathematics in the same
manner as in other empirical disciplines.
C. It can also be a part of the heuristic approach in
mathematics education.
D. It is less useful for elementary grade students as
its assessment will be difficult.
Choose the correct option :
(1) B and C (2) A and C
(3) A and B (4) A and D
39. A conjecture in mathematics is :
(1) a proposition or conclusion that has been
proved.
(2) not important at all as it does not help in
developing mathematical understanding.
(3) important for students of secondary level only.
(4) a proposition or conclusion that is assumed to be
true on a tentative basis without proof.
40. Which of the following statements is not correct
with regard to a mathematics textbook ?
(1) A mathematics textbook should have solved
examples only.
(2) Example in a mathematics textbook should be
related to daily life of the students.
(3) A textbook of mathematics should not be very
thick or heavy.
(4) A mathematics textbook should have varied
exercise to give practice to students.
41. If x =
198 550 ×
and y =
99 363
33
×
, then
11
xy
+
is
equal to :
(1)
003 .
(2)
001 .
(3)
033 .
(4)
01 .
42. If p = (12.34 × 10
10
) – (5.67 × 10
9
), then p is expressed
in standard form as :
(1) 1.1773 × 10
10
(2) 1.1773 × 10
11
(3) 1.773 × 10
11
(4) 1.773 × 10
10
43. If 313632 = p
2
× q
5
= r
4
, where p, q and r are prime
numbers, then what is the value of (p + q – 2r) ?
(1) 7 (2) 8
(3) 9 (4) 6
44. By which number should
-
?
?
?
?
?
?
-
1
4
1
be multiplied so
that the product is the reciprocal of
7
4
1
?
(1)
16
7
(2)
7
16
(3)
-
16
7
(4)
-
7
16
45. P is a point on line AB and PQ is a ray such that
? QPA = 7x and ? QPB = 5x. Then, the value of
(8x – 10°) is :
(1) 110° (2) 118°
(3) 140° (4) 102°
46. S is a point on side PQ of a triangle PQR such that
RS = PS = QS. If ? QPR = 15°, then the value of
(2 ? PQR – ? PRQ) is :
(1) 60° (2) 50°
(3) 45° (4) 75°
47. When a shopkeeper sells item A for ` 384, then there
is a loss of 20% and when he sells item B for ` 400,
then there is profit of 25%. What is the profit/loss
percent, if he sells both items for a total of ` 852 ?
(1) Loss, 5% (2) Profit, 6.5%
(3) Loss, 7% (4) Profit, 7.5%
48. A sum of ` 12,000 amounts to ` 15,972 at a certain
rate percent per annum in
1
1
2
years, when the
interest is compounded half-yearly. What will be the
amount of the same sum in same time and with the
same rate, if interest is compounded annually ?
(1) ` 15,420 (2) ` 15,480
(3) ` 15,950 (4) ` 14,520
49. If 5x
2
– 8y – 20x + 2xy = (x + a) (bx + 2y), then the
value of (a – b) is :
(1) – 1 (2) 9
(3) – 9 (4) 1
50. If A = x
2
(1 – 3y
2
), B = x (xy
2
– 2x) and
C = 3y (y – 4x
2
y), then
A + B – C = px
2
+ qx
2
y
2
+ ry
2
What is the value of (5p + q – r) ?
(1) 10 (2) 12
(3) 18 (4) 8
51. Which of the following are divisible by 2, 3 and 11 ?
(1) 8448 (2) 9812
(3) 9126 (4) 9636
Choose the correct option :
(1) B and D (2) A and B
(3) A and D (4) A and C
52. The solution of the equation
() () xx
x
+- +
-
12 4
35
=
1
23
is
also the solution of the equation :
(1) 3 (2x + 3) = 2 (x + 3)
(2) 5 (2x + 1) = 3 (x + 1)
(3) 3 (2x + 3) = 5 (x + 1)
(4) 2 (2x – 3) = 3 (x + 1)
53. Marks obtained by Sunita in her pre-board
examination are as follows :
Subject Marks
English 72
Hindi 84
Mathematics 96
Science 80
Social Science 68
If a pie chart is constructed for the above data, then
what will be the angle of the sector representing
marks obtained by Sunita in Mathematics ?
(1) 72° (2) 75.6°
(3) 68.4° (4) 64.8°
54. The volume of a right circular cylinder of length 1.2
metres is 4620 cm
3
. What is the curved surface area
(in cm
2
) of the cylinder ? Take
22
7
(1) 2200 (2) 2640
(3) 2860 (4) 1980
55. If F, V and E are respectively the number of faces,
vertices and edges of a triangular prism, then which
of the following statements is true ?
(1) 2F + 3V – 2E = 10 (2) 4F + 2V – 3E = 6
(3) 2F + 4V – 3E = 8 (4) 3F + 2V – 2E = 11
56. What is the mean of the mode, median and range of
the data given below ?
17, 8, 11, 13, 9, 14, 10, 11, 16, 23, 15, 7
(1) 12.5 (2) 13
(3) 13.5 (4) 12
57. The cost of painting the surface of a solid cuboid of
dimensions 40 cm × 36 cm × x cm at ` 20 per 100
cm
2
is ` 1,032. What is the value of x ?
(1) 15 (2) 20
(3) 24 (4) 12
58. The area of a rectangle whose sides are 176 cm and
56 cm is equal to the area of a circle. What is the
circumference (in cm) of the circle ? Take
22
7
(1) 352 (2) 396
(3) 440 (4) 308
59. ABCD is a rhombus in which ? ADB = 25°. Then,
the value of (2 ? BAD – ? ABC) is :
(1) 240° (2) 230°
(3) 210° (4) 260°
60. PQRS is a quadrilateral in which PQ = PS and RQ =
RS. Which of the following statements is true about
this quadrilateral ?
(1) Its diagonals are perpendicular to each other.
(2) Its diagonals are equal.
(3) Each diagonal bisects the angle at each vertex.
(4) Its diagonals bisect each other.
61. Identify the incorrect statement :
(1) Clayey soil is more fertile as compared to loamy
soil.
(2) Clayey soil is better aerated than loamy soil.
(3) Water retention capacity of clayey soil is better
than that of loamy soil.
(4) The particle size of clayey soil is much smaller
than that of loamy soil.
62. Which of the following substances are present on
the rubbing surface of a matchbox ?
(1) White phosphorus and glass powder
(2) Glass powder and red phosphorus
(3) Red phosphorus and magnesium
(4) Potassium and white phosphorus
63. A and B secrete their hormones when they receive
orders from gland C. Which of the following can A,
B and C respectively be ?
(1) Thyroid, Adrenal glands, Pituitary
(2) Pancreas, Adrenal glands, Thyroid
(3) Testes, Ovaries, Thyroid
(4) Pituitary, Pancreas, Thyroid
64. The image formed by a pinhole camera is real.
Which of the following statements offers a suitable
explanation for this fact ?
(1) Light travels in a straight line.
(2) Light diffracts on entering a small opening.
(3) Light is a form of energy.
(4) Light changes its path when it travels from one
medium to another.
65. Identify the set comprising plants that produce
bisexual flowers :
(1) Mustard, Rose, Petunia
(2) Cucumber, Papaya, Rose
(3) Corn, Cucumber, Petunia
(4) Corn, Papaya, Mustard
66. Read the statements given below and choose the
correct option :
Assertion (A): Stomach produces hydrochloric acid
that helps in breakdown of food.
Reason (R): Digestive juices need an acidic medium
to act.
(1) Both (A) and (R) are true, but (R) is not the
correct explanation of (A).
(2) (A) is true, but (R) is false.
(3) (A) is false, but (R) is true.
(4) Both (A) and (R) are true and (R) is the correct
explanation of (A).
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