Disclaimer: The answer key provided in this post is not official. It is prepared for reference and practice purposes only. This is a tentative answer key . Students are advised to verify the answers after the official CTET answer key is released by the exam authority.
This post provides the Mathematics questions asked in CTET 2026 Paper–I conducted on 7th and 8th February 2026. In this article, we have included only the Mathematics section questions from the exam so that students preparing for CTET exam preparation, primary teacher eligibility test, and competitive exam mathematics practice can understand the exam pattern, question types, and level of difficulty.
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CTET – Part II (Mathematics & Science)
Questions 31–60
7th Feb Paper
Q.31. The cost of 8 Samosas is ₹156 and that of 4 Idlis is ₹98. Sunita has a ₹200 note only and buys 3 Samosas and 3 Idlis. How much money is left with her now?
- ₹68
- ₹72
- ₹65
- ₹66
Q.32. 24 L 650 mL of milk is filled in 29 bottles each of same size. The quantity of milk in 15 such bottles is
- 13 L 600 mL
- 15 L 300 mL
- 11 L 900 mL
- 12 L 750 mL
Q.33. The internal length, breadth and height of a cuboidal box are 12 cm, 10 cm and 8 cm, respectively. A cubical box has side (internal) 9 cm. Avin tries to pack 1800 cubical dice of side 1 cm each in these two boxes. The number of dice which are left unpacked is :
- 123
- 129
- 111
- 121
Q.34. A bag containing potatoes, onions and lemons weighs 46 kg 160 g. The weight of potatoes is 17 kg 115 g and that of onions is 15 kg 325 g. The weight of empty bag is 120 g. If 30 lemons weigh 1 kg, then what is the number of lemons in the bag?
- 408
- 414
- 396
- 402
Q.35. Which of the following has/have only two lines of symmetry?
A. Equilateral triangle
B. Rectangle
C. Rhombus
D. Isosceles triangle
Choose the correct option.
- B and C
- C and D
- A and B
- Only B
Q.36. Which of the following letters has a rotational symmetry but no line symmetry?
- O
- Z
- X
- M
Q.37. A pentagonal pyramid has
- six vertices and five faces
- six vertices and six faces
- five faces and five vertices
- six faces and six edges
Q.38. The following table shows the number of visitors to a library in the first six days of a week.
| Days | Number of visitors |
|---|---|
| Monday | 86 |
| Tuesday | 114 |
| Wednesday | 141 |
| Thursday | 95 |
| Friday | 124 |
| Saturday | 151 |
On which day the number of visitors to the library was 29 more than its previous day?
- Friday
- Saturday
- Tuesday
- Wednesday
Q.39. The sum of next two numbers in the pattern 3, 10, 32, 99, _____, _____ is
- 1209
- 1211
- 1119
- 1121
Q.40. What is the sum of all the prime numbers between 12 and 49?
- 301
- 302
- 299
- 300
Q.41. The sum of all the common factors of 36 and 48 (excluding 1) is
- 28
- 29
- 26
- 27
Q.42. The sum of all the common factors of 36 and 48 (excluding 1) is
- 28
- 29
- 26
- 27
Q.43. What is the difference between the greatest 4-digit number and the least 4-digit number formed by using the digits 1, 5, 0 and 7 once?
- 6453
- 6531
- 6093
- 6003
Q.44. Kanta has five dozen chocolates. She gives \(\frac{1}{6}\) of these to Aruna and \(\frac{1}{5}\) of the remaining chocolates to Radha. She then gives \(\frac{1}{8}\) of the remaining chocolates to each of her three friends. How many chocolates does Kanta have now?
- 25
- 10
- 15
- 20
Q.45. (LCM of 96, 120 and 160) ÷ (HCF of 72 and 168) is equal to
- 20
- 30
- 12
- 15
Q.46. Which of the following mathematical statements is true?
- Zero is called the multiplicative identity for whole numbers.
- Commutative law holds true for the operation of division.
- Zero is called an additive identity for whole numbers.
- Mathematics is based only on observations and experiments.
Q.47. In mathematics, the primary stage curriculum is focussed on _____
- written algorithms
- solving textbook questions
- rote learning
- nurturing curiosity
Q.48. A child writes five hundred three as 5003. It shows that
- the child does not know the concept of place value
- the child needs to learn recognition of digits
- the child needs to learn counting
- the child does not know how to write numbers in words
Q.49. According to Van Hiele’s levels of development of geometrical thinking, which of the following represents level-2 (relationships)?
- A child can informally deduce general properties of a given geometrical shape and see linkages among these properties.
- A student can follow deductive axiomatic systems of geometry.
- A child cannot classify various shapes that look similar.
- A child identifies shapes based only on size or orientation.
Q.50. Which of the following is the most appropriate example of incorporation of local knowledge in mathematics teaching-learning?
- Remedial teaching for learners from different cultures
- Including examples of different methods of calculation used by people from different occupations and communities
- Colourful mathematics textbooks with pictures from various cultures
- Including only traditional methods of calculations in textbooks
Q.51. One of the main guiding principles of the National Education Policy, 2020 is that priority is to achieve foundational literacy and numeracy at ____ by all the students.
- grade 2
- grade 5
- grade 1
- grade 3
Q.52. A primary class mathematics teacher brings two jars of different shapes filled with water. She pours water completely from the taller jar to the broader jar and asks which jar can hold more water. This activity is appropriate to teach
- volume and its conservation
- standard units of liquid measurement
- how to calculate area of jars
- formula for calculating volume
Q.53. A teacher writes the number 308 on the board and asks children to read it aloud. A child reads it as “three-eight”. Which strategy is most appropriate?
- Teacher reads the number once and asks the child to repeat.
- Ask the child to start counting from 99 to 308.
- Ask another child to read the number.
- Provide practical examples to understand place value.
Q.54. A bag contains 4 mangoes and 6 more mangoes are added to it. How many mangoes are there in the bag? This word problem belongs to which structure of addition?
- Repeated addition
- Aggregation
- Augmentation
- Segregation
Q.55. Which of the following pre-number concepts are relevant for building the understanding of mathematical concepts at foundational stage?
- Geometrical shapes
- Classification and ordering
- Basic operations
- Place value and numeration
Q.56. Which of the following is least desirable in a primary school mathematics classroom?
- Solving algorithm-based questions from workbook
- Including open discussions on problem solving
- Encouragement of intuitive concepts
- Building links with real-life mathematical situations
Q.57. Which of the following is/are appropriate in the context of social perspectives on assessment in mathematics?
A. Bringing experiences of children outside school in assessment
B. Making standardized tests
C. Using folk algorithms from different cultures
- A and B
- Only A
- A and C
- Only B
Q.58. Which of the following is least appropriate about contextual problems in mathematics?
- Children tend to focus only on correct answer.
- They might be derived from classroom experiences.
- They are connected closely to children’s lives.
- They help develop mathematical modelling ability.
Q.59. Which of the following is not an expected learning outcome for class III as per NCERT recommendations?
- Extend the sequence A, DE, HIJ, ____
- There are 12 balls in a box. How many balls will be there in 5 such boxes?
- Is 15 × 4 equal to 4 × 15?
- Solve \(\frac{1}{2} + \frac{1}{3}\)
Q.60. Tests which provide information about the relative performance of members of a specific group of students are called
- Diagnostic tests
- Norm referenced tests
- Criterion referenced tests
- Achievement tests
8th Feb Paper
Disclaimer: The answer key provided in this post is not official. It is prepared for reference and practice purposes only. This is a tentative answer key . Students are advised to verify the answers after the official CTET answer key is released by the exam authority.
Q.31. Which of the following statements is least appropriate about mathematics curriculum for primary classes ?
- It should be joyful and rigid.
- It should help in making connections in mathematics.
- It should enhance relational understanding.
- It must be dynamic and coherent in nature.
Q.32. According to National Curriculum Framework 2005, mathematics curriculum must incorporate mathematical processes which are :
- Teaching and learning of procedures of problem solving.
- Memorization and application of formulae and multiplication tables in problem solving.
- Problem solving using estimation, approximations and spatial reasoning.
- Doing quick mental calculations.
Q.33. Which of the following activities, most appropriately, represents the four stages involved in handling data i.e., collecting, organising, representing and interpreting data ?
- Collecting data about how pupils travel to school and then comparing the different modes of transport used by the pupils.
- Asking the pupils to list their favourite food.
- Asking the pupils to mark their birth dates on a calendar.
- Asking the pupils to write the names of their favourite cartoons.
Q.34. While giving a rectangular page to Mohan, Mathematics teacher told him to make a square out of it. Mohan folded that paper from one side and made a square. At what level of Van Hiele’s theory of geometrical understanding Mohan is ?
- Level 3 (Deduction)
- Level 2 (Relationship)
- Level 1 (Analysis)
- Level 0 (Visualisation)
Q.35. Which of the following letters has one line of symmetry ?
- V
- O
- X
- S
Q.36. The missing number in the pattern 325, 259, 204, 160, 127, 105 ________ is :
- 90
- 96
- 98
- 94
Q.37. Which among the following is an example of a real life situation which represents ‘division as equal sharing’ ?
- There are 10 biscuits in a packet. How many biscuits will be there in 5 such packets ?
- There are 60 toffees in a packet and Samir would like to distribute it to his friends. How many toffees each friend will get ?
- There are 30 students in a class. Teacher wants to form 5 groups of same size. How many students will be there in each group ?
- Divide 50 into 10 equal groups.
Q.38. Work of which Indian Mathematician can be associated with “Game Theory” ?
- Aryabhatta
- Mahavira
- Ramanujan
- Brahmgupta
Q.39. The difference between the greatest and smallest five digit numbers that can be formed using the digits 8, 2, 7, 0 and 6 only once is :
- 56942
- 65942
- 66942
- 67942
Q.40. If a six digits number \(72x292\) is divisible by 36, then the value of \((3x + 2)\) is :
- 15
- 16
- 17
- 20
Q.41. Amita starts from the place A and reaches place B in 4 hours 44 minutes. From there, she returns to the starting place A in 3 hours 24 minutes. If she reaches back at 2.30 pm, then her starting time from place A was :
- 6.44 am
- 6.00 am
- 6.22 am
- 6.24 am
Q.42. The numerical values of perimeter and area of a square are equal. The length of the side of the square is :
- 1 unit
- 2 units
- 4 units
- 8 units
Q.43. Which of the following is least appropriate in context of learning outcomes at foundational stage in mathematics ?
- Explicit and measurable learning outcomes are defined which are the pathways for competency acquisition.
- Designing activities connected to real-life situations to strengthen the learning outcomes.
- Children advance to the next level of learning outcomes only upon achieving certain level of proficiency at the current level.
- Primarily summative assessment is used to assess the skills or concepts developed at each level.
Q.44. If HCF of two numbers is 18, then which of the following cannot be their LCM ?
- 144
- 128
- 108
- 72
Q.45. What is the difference of the place values of the two 8s in the number 2853847 ?
- 7999200
- 799200
- 792000
- 799920
Q.46. The perimeter of a rectangle is 410 m and its length is 123 m. The breadth of the rectangle (in m) is :
- 92
- 82
- 86
- 88
Q.47. Computational skills in mathematics can be enhanced by :
- describing algorithms only
- conducting hands-on-activities in class
- giving conceptual knowledge
- clarifying concepts and procedures followed by a lot of practice
Q.48. Problem solving method of teaching mathematics involves which of the following steps ?
(a) Posing mathematical problems and instructing steps of solutions.
(b) Design a task based upon the current understanding of the students.
(c) Posing everyday problems and help learners make sense of the mathematics involved.
(d) Allowing the learners to actively take part in the finding solutions of the problems and justify the solutions.
Choose the correct option :
- (b), (c) and (d)
- only (a)
- only (d)
- (c) and (d)
Q.49. Which of the following is an example of a task based on creative thinking that can be given to students of grade 5 ?
- Add 415 and 237 using column addition
- Find the area of a rectangle using formula
- Find the area of a rectangle whose length is half of its breadth
- Write multiplication table of 7
Q.50. Radha bought 9 bags of rice each weighing 9 kg 995 g. Total weight of rice in the bags is :
- 89.985 kg
- 89.595 kg
- 89.795 kg
- 89.955 kg
Q.51. A triangular pyramid has :
- 4 faces and 4 edges.
- 4 faces and 6 edges.
- 3 faces and 6 edges.
- 3 faces and 4 edges.
Q.52. Ms. Rajlakshmi, a primary class mathematics teacher brings in a variety of concrete material in her classroom like bundles of match sticks, ice cream sticks, coloured buttons, base 10 blocks etc. to teach the concept of place value. Which of the following principles of theory of Zoltan P. Dienes is being used by her ?
- Mathematical Variability Principle
- Dynamic Principle
- Iconic Mode
- Perceptual Variability Principle
Q.53. Which of the following fractions are in descending order ?
- \(\displaystyle \frac{3}{7}, \frac{4}{5}, \frac{5}{9}, \frac{8}{11}\)
- \(\displaystyle \frac{3}{7}, \frac{5}{9}, \frac{8}{11}, \frac{4}{5}\)
- \(\displaystyle \frac{8}{11}, \frac{5}{9}, \frac{4}{5}, \frac{3}{7}\)
- \(\displaystyle \frac{4}{5}, \frac{8}{11}, \frac{5}{9}, \frac{3}{7}\)
Q.54. Which of the following statements is not correct ?
- Two acute angles can be put together to make an obtuse angle.
- One acute angle and one obtuse angle can be put together to make a straight angle.
- Reflex angle is greater than 180° but less than 360°.
- Two acute angles can be put together to make a reflex angle.
Q.55. How many twin primes are there in the numbers from 1 to 50 ?
- 7
- 6
- 5
- 4
Q.56. Main objective of teaching Pictographs to students is :
- To develop drawing skills in students
- To utilize the free time of the students in the class
- To engage students in the class activities
- To represent data in an interesting way
Q.57. Which of the following statement is least appropriate about the errors made by students in mathematics classroom ?
- They can be repeated.
- They can be determined by a diagnostic test.
- They can be persistent if not identified.
- They can be described but cannot be analysed.
Q.58. One of the most important purposes of assessment in mathematics at primary school level is :
- determine learner’s intelligence levels
- find out important learning gaps and likewise make modifications in the pedagogy
- prepare learners for secondary and high school mathematics
- find out mathematicians of the future
Q.59. In a class, teacher prepared following table showing colours of eyes of 40 students :
| Eye colour | Boys | Girls |
|---|---|---|
| Blue eye | 5 | 7 |
| Brown eye | 4 | 3 |
| Black eye | 11 | 10 |
Teacher told four students to write one statement each about this table. They wrote :
(a) Number of boys and girls are equal.
(b) Mostly students have black eye.
(c) Total number of students having blue eyes is odd.
(d) Total number of students having brown eyes is odd.
Choose the correct option :
- (a), (b), (c) are true but (d) is false.
- (a), (b) are true but (c), (d) are false.
- (a), (b) and (d) are true but (c) is false.
- (b) and (c) are true but (a) and (d) are false.
Q.60. According to NIPUN Bharat Mission, the states will ensure to achieve foundational numeracy grade III by the end of the year :
- 2026-27
- 2027-28
- 2024-25
- 2029-30
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