CTET 2018 PAER 2 with answer keys (Mathematics)

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CTET Previous Year Question Papers with Answer Key (2018–2025)

Preparing for the CTET Exam 2025 becomes more effective when candidates practice from CTET previous year question papers with answer keys. On this page, we provide a comprehensive collection of CTET Paper 1 and CTET Paper 2 previous year questions from 2018 to 2025, compiled carefully to help aspirants understand the CTET exam pattern, marking scheme, and topic-wise weightage.

These CTET solved question papers are highly useful for candidates preparing for both Primary Teacher (Classes I–V) under CTET Paper 1 and Upper Primary Teacher (Classes VI–VIII) under CTET Paper 2. Practicing CTET PYQs regularly improves accuracy, strengthens conceptual clarity, and boosts confidence for the CTET January and July sessions.

This resource covers CTET Mathematics previous year questions, Child Development and Pedagogy (CDP), Language I & Language II, and subject-specific papers for CTET Paper 2. Solving these questions helps aspirants identify repeated questions, important topics, and the actual difficulty level of the CTET exam.

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Disclaimer

Disclaimer: All the questions provided on this page are taken from CTET (Central Teacher Eligibility Test) previous year question papers of Paper 1 and Paper 2. These questions are shared only for educational and practice purposes.

CTET is conducted by CBSE, and we do not claim ownership of any original examination content. This platform is intended to support aspirants in their exam preparation.

If you find any mistake, error, or mismatch in questions or answer keys, please mention it in the comments section. Your feedback helps us improve the quality of content.

Q.31. In a meeting, \( \frac{4}{25} \) of the members were female. What percent of the members was this?

1. 40%
2. 24%
3. 16%
4. 4%

Correct Answer: (3)

Q.32. A shop reduced its prices by 10%. What is the new price of an item which was previously sold for ₹500?

1. ₹510
2. ₹550
3. ₹450
4. ₹400

Correct Answer: (3)

Q.33. Given below is a data set of temperatures (in °C):

\(-6, -8, -2, 3, 2, 0, 5, 4, 8\)

What is the range of the data?

1. 0 °C
2. 16 °C
3. 18 °C
4. 10 °C

Correct Answer: (2)

Q.34. A coin is tossed 10 times and the outcomes are observed as:

H, T, H, T, T, H, H, T, H, H
(H is Head; T is Tail)

What is the probability of getting Head?

1. \(\frac{3}{5}\)
2. \(\frac{4}{5}\)
3. \(\frac{2}{5}\)
4. \(\frac{1}{5}\)

Correct Answer: (1)

Q.35. The numerical expression \( \frac{3}{7} + \frac{-7}{8} = \frac{25}{56} \) shows that—

1. rational numbers are closed under addition
2. rational numbers are closed under subtraction
3. rational numbers are closed under multiplication
4. rational numbers are closed under division

Correct Answer: (1)

Q.36. Which one of the following 3D shapes does not have a vertex?

1. Pyramid
2. Prism
3. Cone
4. Sphere

Correct Answer: (4)

Q.37. If \( \left(\frac{5}{7} \right)^4 \times \left(\frac{5}{7} \right)^{-3} = \left( \frac{5}{7} \right)^{5x-2} \), then \(x\) is—

1. \(\frac{1}{5}\)
2. \(\frac{2}{5}\)
3. \(\frac{3}{5}\)
4. \(\frac{4}{5}\)

Correct Answer: (3)

Q.38. Let \(a, b, c\) be three rational numbers, where \(a=\frac{3}{5}\), \(b=\frac{2}{3}\) and \(c=\frac{5}{6}\). Which one of the following is true?

1. \( a \times (b + c) = b \times (a + c) \)
2. \( a \div (b + c) = b \div (a + c) \)
3. \( a + (b + c) = c + (a + b) \)
4. \( a - (b - c) = c - (a - b) \)

Correct Answer: (3)

Q.39. A geometric representation, showing the relationship between a whole and its part, is—

1. histogram
2. pie chart
3. bar graph
4. pictograph

Correct Answer: (2)

Q.40. If \(q\) is the square of a natural number \(p\), then \(p\) is—

1. the square of \(q\)
2. the square root of \(q\)
3. equal to \(q\)
4. greater than \(q\)

Correct Answer: (2)

Q.41. The value of \( \sqrt{\,91 + \sqrt{70} + \sqrt{121}\,} \) is—

1. 9
2. 10
3. 11
4. 12

Correct Answer: (2)

Q.42. In a park, 784 plants are arranged so that number of plants in a row is same as the number of rows. The number of plants in each row is—

1. 18
2. 28
3. 38
4. 48

Correct Answer: (2)

Q.43. If two quantities \(x\) and \(y\) vary inversely with each other, then which one of the following is true?

1. Ratio of their corresponding values remains constant.
2. Product of their corresponding values remains constant.
3. Summation of their corresponding values remains constant.
4. Difference of their corresponding values remains constant.

Correct Answer: (2)

Q.44. Given

\[ \begin{aligned} 7y\\ 6\\ \hline yyy \end{aligned} \]

Then the value of \(y\) is

1. 8
2. 6
3. 4
4. 2

Correct Answer: (3)

Q.45. To fill a rectangular tank of area \(700 \text{ m}^2\), \(140 \text{ m}^3\) of water is required. What will be the height of the water level in the tank?

1. 10 cm
2. 20 cm
3. 30 cm
4. 40 cm

Correct Answer: (2)

Q.46. Which one of the following is the most suitable strategy to teach the skill of addition of money?

1. Use of ICT
2. Role play
3. Use of models
4. Doing lots of problems

Correct Answer: (2)

Q.47. After teaching the concept of multiplication to her class, a teacher asked her children to multiply 48 by 4. One of her students solved it orally as “To multiply 48 by 4, we first add 48 to 48, which makes 96 and then add another 96 to reach 192. So, the answer is 192”. What can you say about his/her strategy of multiplication?

1. The child used a wrong method to multiply.
2. He/She has not understood the concept of multiplication.
3. The given problem is a multiplication problem and not addition problem.
4. He/She understood multiplication as repeated addition.

Correct Answer: (4)

Q.48. Which one of the following should be taken up as initial activity in introducing the concept of ‘time’ to young learners?

1. Discussing about the prior experiences with phrases related to time
2. Teaching children how to read time in clock
3. Teaching children how to calculate elapsed time
4. Conversion of time in different units

Correct Answer: (1)

Q.49. Which one of the following is not the purpose of assessment?

A. Monitoring student’s growth
B. Making instructional decision
C. Evaluating the effectiveness of curriculum
D. Ranking the children based on performance

1. A
2. D
3. B
4. C

Correct Answer: (2)

Q.50. Which one of the following methods is most suitable for teaching mathematics at upper primary level?

1. Demonstration method
2. Lecture method
3. Activity-based learning
4. Problem-solving method

Correct Answer: (4)

Q.51. Which one of the following is most essential in learning mathematics at upper primary level?

1. Solving a problem many times
2. Exploring different ways of solving a problem
3. Memorizing all formulas
4. Copying correctly what teacher writes on the board

Correct Answer: (2)

Q.52. The strategy of questioning used in the mathematics class at upper primary level—

1. should be discouraged as it demoralizes the child who is unable to answer
2. makes the classroom noisy as the children would be talking too much
3. could create stress among children and may lead them to accept the teacher’s authority
4. helps children to express their thoughts or understanding and think critically

Correct Answer: (4)

Q.53. A teacher has taught measurement of area to class VIII children, but many of her students are confused between the usage of different units of area and volume. What could be the reason for such a confusion in children?

1. The children did not know the use of units for area.
2. The children have not memorized different units.
3. Different units have been introduced all together without relating them with their daily life.
4. The concept of measurement of area is a difficult topic for a class VIII learner.

Correct Answer: (3)

Q.54. Which one of the following can be the most appropriate aim of encouraging mathematical communication in classroom?

1. Children should be able to use a precise language while talking about mathematical statements and using them
2. Children who have fear about mathematics should be able to interact in the class
3. To organize debates in the class regarding topics of mathematics
4. Children should be able to recite theorems and formulas in mathematics class

Correct Answer: (1)

Q.55. The purpose of a diagnostic test in mathematics is—

1. to know the gaps in children’s understanding
2. to give feedback to the parents
3. to fill the progress report
4. to plan the question paper for the end term examination

Correct Answer: (1)

Q.56. Remedial teaching is helpful for—

1. teaching the whole class
2. recapitulating the lesson
3. teaching in play-way method
4. removing learning difficulties of weak students

Correct Answer: (4)

Q.57. Which one of the following is not a mathematical process?

1. Visualization
2. Memorization
3. Estimation
4. Measurement

Correct Answer: (2)

Q.58. “Errors play a crucial role in learning of mathematics.” This statement is—

1. false, because errors occur due to carelessness
2. true, because errors reflect the thinking of child
3. false, because mathematics is exact
4. true, because errors provide feedback about the marks they obtained

Correct Answer: (4)

Q.59. While teaching ‘shapes’, a teacher can plan a trip to historical places, as—

A. it needs to provide leisure time as most of the syllabus has been completed in time
B. it would be an opportunity to improve communication skill
C. shapes are an integral part of every architecture and such trips encourage connections across disciplines
D. field trips are recommended by Education Board, so must be organized

1. A and B
2. C
3. B and C
4. A, C and D

Correct Answer: (2)

Q.60. A student was asked to calculate the surface area of a cube. He calculated the volume. The reason(s) of error in calculation is/are—

A. the student finds the class boring as he does not like mathematics class
B. the student is not fit to study in that class
C. the student is not able to understand the concept of surface area and volume
D. the student has understood the concept of surface area and volume

1. C
2. B and C
3. D
4. A and B

Correct Answer: (1)