CTET Paper 1 January 2021 with answer key (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 how many ways, 48 small squares of 1 cm × 1 cm can be arranged so that the resulting area is 48 cm²?

1. 6
2. 4
3. 5
4. 2

Correct Answer: (3)

Q.32. In school assembly, students of a class are standing in a line. Ruhi is 19th from both ends. How many students are present in that class?

1. 38
2. 37
3. 36
4. 40

Correct Answer: (2)

Q.33. Asmita reaches school for a meeting 15 minutes before 8.30 am. She reached half an hour earlier than her colleague who is 40 minutes late for meeting. What is the scheduled time of the meeting?

1. 8.15 am
2. 9.10 am
3. 8.45 am
4. 8.05 am

Correct Answer: (4)

Q.34. A number is larger than half of 100. It is more than 6 tens and less than 8 tens. The sum of its digits is 9. The tens digit is the double of the ones digit. What is the number?

1. 72
2. 63
3. 54
4. 81

Correct Answer: (2)

Q.35. Sohail buys one packet of crayons, two packets of pencils, one packet of sketch pens, one scissors, 5 sheets of glazed papers and one pack of decorative stickers. How much would he be required to pay?

1. ₹ 98.00
2. ₹ 86.50
3. ₹ 100.50
4. ₹ 102.00

Correct Answer: (3)

Q.36. A train starts from Patna on 30th May, 2020 at 23:40 hours and reaches Mumbai on 1st June, 2020 at 5:15 hours. What is the total travel time of train?

1. 28 hours 20 minutes
2. 29 hours 35 minutes
3. 29 hours 15 minutes
4. 28 hours 25 minutes

Correct Answer: (2)

Q.37. In a five digit number, the digit at the hundreds place is three-fourth of the digit at ten thousands place and the digit at tens place is two-third of the digit at hundreds place. The digit at tens place is square of the smallest prime number and the digit at thousands place is the largest single digit prime number. If the digit at unit place is the largest single digit odd number, then the number is

1. 87649
2. 49327
3. 83419
4. 42937

Correct Answer: (1)

Q.38. What should be subtracted from the sum of 8008, 8088 and 8808 to obtain 17863?

1. 6121
2. 6131
3. 7041
4. 7141

Correct Answer: (3)

Q.39. A bucket of 16 litres capacity is filled to the brim with water. Water from this bucket is to be transferred into smaller utensils. A mug filled to capacity has to be dipped 50 times to completely transfer the water in the bucket into the utensils. What is the capacity of the mug?

1. 225 mL
2. 250 mL
3. 275 mL
4. 320 mL

Correct Answer: (4)

Q.40. A taxi meter shows charges of ₹ 50 for the first two kilometres of journey and ₹ 16 for every subsequent kilometre travelled. Manju pays ₹ 258 as fare to travel from her house to the railway station. How far is the railway station from her home?

1. 12 km
2. 13 km
3. 15 km
4. 18 km

Correct Answer: (3)

Q.41. The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects :

Subject	Maria	Shehnaz
English	74	81
Maths	88	78
Social Science	65	77
Hindi	73	72
Science	90	82

Based on the table above identify the correct statement from among the following :

1. Maria has scored more marks than Shehnaz in all the subjects except the languages.
2. Maria has scored more marks than Shehnaz in only two subjects.
3. Shehnaz’s aggregate marks in Maths and Science are more than Maria’s aggregate marks in these subjects.
4. The aggregate marks of Maria and Shehnaz are equal.

Correct Answer: (3)

Q.42. Which of the following is a desirable teaching-learning practice in the context of Mathematics?

1. Open ended questions should be avoided to prevent confusion.
2. Intuitive understanding of concepts should be encouraged.
3. Open book tests should be avoided.
4. Students should be told to follow the prescribed steps of solving problems.

Correct Answer: (2)

Q.43. Following are some questions posed by the teacher in the mathematics classroom. Identify the correct option.

1. A & B are closed ended questions and C & D are open ended questions.
2. A, B & C are closed ended and D is open ended question.
3. A is closed ended and B, C & D are open ended questions.
4. A & C are closed ended and B & D are open ended questions.

Correct Answer: (2)

Q.44. Which of the following is least likely to impact teaching-learning in mathematics?

1. Enhanced quality of feedback
2. Using results of assessment to modify teaching
3. Knowing ways in which assessment affected the confidence of learners
4. Providing complete solutions to students’ wrong answers

Correct Answer: (4)

Q.45. Rohit realises that square is both a rhombus and a rectangle. He is at what stage of Van Hiele’s visual thinking?

1. Level 0 (Recognition)
2. Level 1 (Analysis)
3. Level 2 (Relationships)
4. Level 3 (Deduction)

Correct Answer: (3)

Q.46. “The sum of any two whole numbers is a whole number.” This property of whole numbers is referred to as

1. Closure property
2. Commutative property
3. Associative property
4. Distributive property

Correct Answer: (1)

Q.47. Which of the following statements regarding mathematics teaching–learning is incorrect?

1. Mathematical learning is a social process involving dialogue.
2. Culture and context has no role in constructing mathematical knowledge.
3. Mathematical knowledge can be created in primary class students through observation of pattern and generalisations.
4. Argumentation and negotiation play an important role in creating mathematical knowledge.

Correct Answer: (2)

Q.48. Which of the following statements is/are true regarding teaching ‘Numbers’ at primary level?

A. Intuitive understanding of numbers should be encouraged.

B. Writing numbers should be taught in sequence.

C. Writing of numbers as numerals should precede counting.

D. Order irrelevance of numbers should be encouraged.

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

Correct Answer: (3)

Q.49. Which of the following is the most important aspect of teaching of mathematics at primary level?

1. Making mathematics part of children’s life experiences
2. Developing rigour in calculations
3. Preparing for higher education and employment
4. Promoting and preparing for technology

Correct Answer: (1)

Q.50. Which of the following activities is most likely to develop spatial reasoning among students?

1. Identifying patterns in a number chart
2. Solving Sudoku puzzles
3. Identifying tessellating figures
4. Drawing bar graphs to represent data

Correct Answer: (3)

Q.51. Which of the following is most suitable for teaching children the concept of fractions?

1. Abacus
2. Geoboards
3. Number charts
4. Cuisenaire rods

Correct Answer: (4)

Q.52. Which of the following statements is NOT correct with regard to nature of mathematics?

1. Argumentation skill is important in construction of mathematical knowledge.
2. Mathematical concepts are hierarchical in nature.
3. Primary level mathematics is concrete and does not require abstraction.
4. Mathematics uses special vocabulary to communicate ideas precisely.

Correct Answer: (3)

Q.53. In which of the following statements, number ‘three’ is used in ordinal sense?

1. I live on the third floor of this building.
2. This house has three rooms.
3. All groups have three team members.
4. This box contains many sets of three pencils.

Correct Answer: (1)

Q.54. Identify the correct statement.

1. If two figures have same area, their perimeters are equal.
2. If two figures have same perimeter, their areas are equal.
3. The units of perimeter and area are same.
4. The shape of figure determines the perimeter.

Correct Answer: (4)

Q.55. Identify the correct statement with respect to the mathematics curriculum.

1. The foundation of algebraic thinking can be laid at primary level.
2. The concept of fractions should be introduced only at upper primary level.
3. The concept of negative numbers should be introduced at primary level for better understanding.
4. The concept of area-measurement should be introduced only at upper primary level.

Correct Answer: (1)

Q.56. Identify the correct statement with regard to introducing the concept of triangles at primary level.

1. Definition of a triangle should be provided first.
2. Children should only be exposed to equilateral triangles to avoid confusion.
3. Children should be exposed to triangles of all types but exposure to other figures should be avoided.
4. Children should be exposed to triangles of all types and also to other figures.

Correct Answer: (4)

Q.57. In a division sum, the divisor is 5 times the quotient and twice the remainder. If the remainder is 5, what is the number?

1. 52
2. 15
3. 25
4. 48

Correct Answer: (1)

Q.58. The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers?

1. 5
2. 9
3. 11
4. 12

Correct Answer: (2)

Q.59. A wire in the form of a square encloses an area of 144 cm². How much area is enclosed if the same wire is bent in the form of a rectangle of length 16 cm?

1. 124 cm²
2. 48 cm²
3. 128 cm²
4. 96 cm²

Correct Answer: (3)

Q.60. Amongst the following fractions, the largest and second largest fractions, respectively are

\(\dfrac{5}{6}, \dfrac{3}{4}, \dfrac{1}{2}, \dfrac{2}{3}, \dfrac{3}{5}\)

1. \(\dfrac{5}{6}\) and \(\dfrac{3}{4}\)
2. \(\dfrac{5}{6}\) and \( \dfrac{3}{5}\)
3. \(\dfrac{3}{5}\) and \( \dfrac{2}{3}\)
4. \(\dfrac{3}{4}\) and \(\dfrac{1}{2}\)

Correct Answer: (1)