CTET 2024 Dec Paper 1 with answer Keys (Mathematics)

Q.31. What is the result when 7 kg 7 g is subtracted from 9 kg?

1. 1.93 kg
2. 1.093 kg
3. 1.3 kg
4. 1.993 kg

Correct Answer: (D)

Q.32. In class III, 150 children were asked to name their one favourite fruit. The results are given below:

Fruit	Number of Children
Apple	28
Guava	26
Mango	44
Banana	14
Grapes	28

Choose the correct option:

1. Equal number of children like Apple and Guava.
2. The difference between children who like grapes and bananas is 16.
3. Children who like mango and banana are twice those who like guava.
4. Ten children do not like any fruit given in the table.

Correct Answer: (D)

Q.33. Which of the following is least appropriate about formative assessment in mathematics classrooms?

1. It helps to identify students’ misconceptions.
2. It provides cumulative evaluation to rank children.
3. It checks students’ progress during instruction.
4. It identifies students’ conceptual understanding.

Correct Answer: (B)

Q.34. A person withdrew ₹4,560 from his bank account on the 4th of a month and deposited ₹2,567 on the 20th. If the balance at the end of the month is ₹3,125, what was the balance at the start of the month?

1. ₹5,128
2. ₹5,118
3. ₹4,998
4. ₹5,213

Correct Answer: (B)

Q.35. A school has 616 pupils. How many classes of 28 pupils each are required?

A student solved it using the distributive method shown. Which law is used?

1. Distributive law of division over addition
2. Associative law of division
3. Incorrect algorithm
4. Both distributive and associative laws

Correct Answer: (D)

Q.36. A triangle having all sides of different lengths is called:

1. Scalene triangle
2. Right triangle
3. Equilateral triangle
4. Isosceles triangle

Correct Answer: (A)

Q.37. The sum of prime numbers between 31 and 60 is:

1. 280
2. 311
3. 221
4. 227

Correct Answer: (A)

Q.38. The product of the predecessor of 201 and the successor of 4781 is:

1. 965560
2. 965650
3. 956200
4. 956400

Correct Answer: (D)

Q.39. Which cognitive skill helps students to recognize and group shapes according to properties?

1. Conservation
2. Decomposition
3. Classification
4. Seriation

Correct Answer: (C)

Q.40. Students find division difficult because:

1. It has no daily life use
2. No informal strategies exist
3. It requires mastery of other operations
4. They dislike the division sign

Correct Answer: (C)

Q.41. Most II graders are able to add two quantities like four candies and three candies, but when asked to do 4 + 5 on a worksheet, a large number of the same learners is unable to do so. According to National Curriculum Framework (2005), what is the most appropriate explanation?

1. Learners are not interested in learning real-life mathematics.
2. Learners are not ready for the use of abstract mathematical symbols.
3. Learners are not taught addition properly.
4. Some learners are poor in mathematical skills.

Correct Answer: (B)

Q.42. A 3rd standard student, when asked to write “one hundred and five” in numeral form, writes it as 1005. This indicates that:

1. The student needs more help in understanding the concept of place value.
2. The student is unfit to learn mathematics.
3. The student is a slow learner.
4. The student is mischievous.

Correct Answer: (A)

Q.43. Which of the following statements is NOT true with respect to the concept of fractions?

1. It represents a part of a collection of same objects.
2. The mathematical notation of a fraction can be represented as a ratio.
3. It represents a part of a whole which is greater than 1.
4. The mathematical notation of a fraction can be represented as a division problem.

Correct Answer: (C)

Q.44. Radha walks 3 km 725 m per day on Monday, Wednesday and Friday, whereas she walks 2 km 9 m per day on Tuesday and Thursday. The total distance covered by her from Monday to Friday is:

1. 15.355 km
2. 15.193 km
3. 16.975 km
4. 16.202 km

Correct Answer: (B)

Q.45. Jasmine said, “A rectangle has two pairs of opposite sides parallel; a square also has two pairs of opposite sides parallel and so does a parallelogram. So, both rectangle and square are also parallelograms.” Jasmine is at which stage of Van Hiele’s theory of geometric thinking?

1. Formal Deduction
2. Visualization
3. Analysis
4. Relationships

Correct Answer: (D)

Q.46. The sum of the greatest and smallest six-digit numbers that can be formed from the digits 5, 9, 0, 2, 8 and 6 (without repetition) is:

1. 1192290
2. 1192209
3. 1292290
4. 1292209

Correct Answer: (B)

Q.47. The missing numbers in the pattern 12, 14, 17, 13, 8, 14, 21, ___, ___ are respectively:

1. 14, 5
2. 13, 4
3. 15, 7
4. 12, 3

Correct Answer: (B)

Q.48. The smallest four-digit number which is a multiple of 6, 7 and 4 is:

1. 1006
2. 1008
3. 1000
4. 1002

Correct Answer: (B)

Q.49. Which of the following has a definite length?

1. A ray
2. A plane
3. A line
4. A line segment

Correct Answer: (D)

Q.50. Which of the following is the most appropriate reason for including open-ended questions in a mathematics class?

1. These questions develop critical thinking in students.
2. Answers are not given in the textbook.
3. These questions take more time.
4. These questions are difficult to copy.

Correct Answer: (A)

Q.51. Which of the following statements are true with respect to Data Handling?

1. A line graph shows comparison among categories.
2. A histogram compares parts of a whole.
3. Graphical representation is easier when trends or comparisons are shown.
4. A bar graph shows data that changes continuously over time.

Correct Answer: (C)

Q.52. How many planks of size 2 m × 35 cm × 8 cm can be made from a wooden block of size 8 m × 70 cm × 40 cm?

1. 45
2. 40
3. 50
4. 48

Correct Answer: (B)

Q.53. A child solves the fraction problem \( \frac{1}{2} + \frac{1}{3} = \frac{2}{5} \). What is the most appropriate inference?

1. The child does not understand number line.
2. The child has extended natural number addition to fractions.
3. The child does not know addition.
4. The child does not know how to take LCM.

Correct Answer: (B)

Q.54. According to National Education Policy (2020), Mathematics and Computational Thinking are given importance because:

1. They are foundational to AI, Machine Learning and Data Science.
2. They can replace teachers.
3. They are the most difficult subjects.
4. They are only for survival.

Correct Answer: (A)

Q.55. According to National Curriculum Framework (2005), mathematics teachers need to shift towards:

(a) Memorization and rigorous algorithms (b) Mathematical reasoning and logic (c) Becoming sole authority for right answers

1. Only (b)
2. (b) and (c)
3. Only (a)
4. (a) and (b)

Correct Answer: (A)

Q.56. What is the most effective way to introduce the concept of area to fourth graders?

1. Formula-based method
2. Approximation and estimation
3. Tessellations
4. Abacus

Correct Answer: (C)

Q.57. The value of \( \frac{4}{7} + \frac{5}{14} - \frac{7}{8} \) is:

1. 3/56
2. 5/56
3. 3/14
4. 5/28

Correct Answer: (A)

Q.58. Which of the following letters has two lines of symmetry?

1. E
2. U
3. H
4. B

Correct Answer: (C)

Q.59. Which of the following is NOT related to Indian mathematics?

1. Surya Siddhant
2. Baudhayan Sulba Sutra
3. Lilavati
4. Charak Samhita

Correct Answer: (D)

Q.60. The difference of the place values of 5 and 7 in the number 352876 is:

1. 49997
2. 50007
3. 49930
4. 49993

Correct Answer: (C)