CTET 2023 Paper 1 with answer keys (Mathematics)

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Q.31. Which of the following statements about nature of mathematics are most appropriate?
A. It helps the child to be creative.
B. It helps in nurturing the child's imagination.
C. It is based on deductive reasoning.
D. It is always convergent.

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

1

Q.32. To develop appreciation for mathematics among children, a teacher performs the following activities in the class. Choose the one which is not effective to achieve her objective:

1. She always praises the student who achieves highest marks in the class in the term-end examination.
2. She shows to children the videos on Indian mathematicians and their contributions.
3. She gives mathematical puzzles and magic squares to be solved in the class.
4. She establishes a mathematics corner in her class where students can perform various mathematical activities.

1

Q.33. Which of the following statements is not correct?

1. Errors of the students give information about their thought process.
2. Errors in mathematics are part of learning.
3. Errors in mathematics help teachers in planning their lessons.
4. Errors of the students should be overlooked as pointing out errors will demotivate them.

4

Q.34. Which of the following statements is not correct about assessment?

1. Norm-referenced assessment is useful in diagnostic testing and remedial teaching.
2. Criterion-referenced assessment is to evaluate the mastery learning of the students.
3. Criterion-referenced assessment is useful in diagnostic testing and remedial teaching.
4. Norm-referenced assessment tells us where a student stands as compared to other students in his/her performance.

1

Q.35. Mathematical learning material:
A. helps teachers in demonstrating the formulae.
B. helps students in self-learning.
C. helps teachers in providing instructions.
D. develops learning environment in the class.

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

3

Q.36. According to the National Education Policy (NEP) 2020, olympiads and competitions in various subjects will be ________ across the country.

1. made easier
2. strengthened
3. discouraged
4. reduced

2

Q.37. Concepts like more-less, long-short, far-near, big-small, etc. are:

1. Vague terms for comparison.
2. Antonyms, not necessary for learning mathematics.
3. Simply English language adjectives.
4. Important pre-number concepts.

4

Q.38. According to the National Curriculum Framework, 2005, classroom researches have indicated a fairly systematic devaluation of girls as incapable of mastering mathematics even when they perform well in mathematics. What is the most appropriate reason for this?

1. Poor performance of girls in mathematics is due to the fear of mathematics prevalent in them.
2. Mathematics, by its nature, is a male-dominated subject.
3. Gendered constructs of society have led to the belief that boys use more innovative strategies for problem-solving and thus have better conceptual understanding.
4. The mathematical abilities in boys are innate.

3

Q.39. Classroom researches have shown that most of the students find mathematics more difficult than the other subjects they study in the same class. Which of the following aspects of the nature of mathematics adds to this fear?

1. The vast knowledge base of mathematics
2. The scope of multiple answers to a given question in mathematics
3. The scope of a number of different methods to solve a problem in mathematics
4. The abstract nature of primary concepts in mathematics

4

Q.40. Who among the following has worked in the field of mathematical astronomy?

1. Aryabhatta
2. Bhaskara I
3. Ramanujan
4. Mahavira

1

Q.41. A vegetable seller was selling spinach for ₹60 per kg. Sonu purchased 350 g of spinach for which the vegetable seller took ₹21 (₹6+₹6+₹6+₹3) from Sonu. Which of the following statements is/are true regarding the mathematical skills used by the vegetable seller?
A. This mathematical skill is ambiguous.
B. This skill is not useful to solve mathematical problems in class.
C. Such skills help in developing alternate strategies for solving mathematical problems.

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

4

Q.42. Which of the following depicts a situation where children are constructing knowledge on their own?

1. The best student in the class reads aloud the multiplication tables and rest of the students repeat after him/her.
2. Children are reciting multiplication tables in a chorus.
3. Children are given manipulatives like number grids, tokens arranged in rectangular arrays and they are exploring multiplication patterns using them.
4. Teacher has written incomplete multiplication tables on blackboard and children are completing the tables by writing them on blackboard.

3

Q.43. Which of the following is the most appropriate way to help a primary school learner visualize the equivalence between the fractions \(\frac{2}{3}\) and \(\frac{4}{6}\)?

1. Using Division method
2. Using LCM (Least Common Multiple) method
3. Using Fraction Discs
4. Using Calculators

3

Q.44. A teacher uses role play method in mathematics class. Her aim is:

1. keeping children busy.
2. projecting ideas.
3. entertaining children.
4. maintaining discipline.

2

Q.45. Subitizing plays an important role in developing the number sense. Which of the following is an example of a student demonstrating the skill of subitizing?

1. Student recognizes the number 6 as 1 added to 5.
2. Student rolls a die and is able to say it is four without actually counting the dots.
3. Student recognizes the number 4 as the number with 1 taken away from 5.
4. Student recognizes the number 5 as the successor of 4.

2

Q.46. Priyadarshini mixed 4.8 kg of almonds, 2500 g of raisin and 3.5 kg of cashews and packed the mixture equally into three dozen packets. What is the weight of each packet?

1. 650 g
2. 250 g
3. 300 g
4. 500 g

3

Q.47. The side of a square is 5 cm. How many times will the new area become, if the side of the square is doubled?

1. 8 times
2. 2 times
3. 3 times
4. 4 times

4

Q.48. Which one of the following groups have all 3-dimensional shapes?

1. Cube, Cuboid, Semi-circle, Cone
2. Cube, Cuboid, Circle, Cone
3. Cube, Cuboid, Circle, Triangle
4. Cube, Cuboid, Sphere, Cylinder

4

Q.49. Sangeeta wants to buy a soap that costs ₹10. She has a five-rupee coin, 2 one-rupee coins and 5 fifty-paise coins. How much more money does she need to buy the soap?

1. ₹2.50
2. ₹0.50
3. ₹1.50
4. ₹2.00

2

Q.50. Select the group of fractions in an ascending order:

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

1

Q.51. What is the missing number in the pattern given below?
1, 6, 15, __, 45, 66, 91

1. 36
2. 28
3. 32
4. 25

2

Q.52. Read the following table:

Blood Group	Number of Students
A	9
B	6
O	12
AB	3
Total	30

What is the ratio of the most common and rarest blood groups?

1. 1:4
2. 1:3
3. 4:1
4. 3:1

3

Q.53. Which of the following statements is not true?

1. A kite becomes a rectangle if its opposite angles are equal.
2. A rectangle becomes a square if all its sides are equal.
3. A rhombus becomes a square if all its angles are equal.
4. A parallelogram becomes a rectangle if all its angles are equal.

1

Q.54. Ammini is arranging 36 identical squares in the form of different rectangles. How many different types of rectangles can she make with these squares?

1. Eight
2. Four
3. Five
4. Six

3

Q.55. Rubina started her journey by car at 16:50 hours and finished at 21:15 hours on the same day. The time taken in completing the journey is:

1. 4 hours 35 minutes
2. 3 hours 25 minutes
3. 4 hours 25 minutes
4. 3 hours 35 minutes

3

Q.56. A whole number is added to 100 and the same number is subtracted from 100. The sum of the two resulting numbers so obtained is:

1. 200
2. 0
3. 50
4. 100

1

Q.57. 'One hundred lakh' is also known as:

1. One billion
2. Ten crore
3. One crore
4. One million

3

Q.58. Which of the following arrangements represents a descending order of numbers?

1. 10.5, 1.50, 1.055, 1.05, 1.005, 0.155
2. 1.05, 1.005, 1.50, 1.055, 10.5, 0.155
3. 10.5, 1.05, 1.055, 1.50, 1.005, 0.155
4. 10.5, 1.50, 1.05, 1.055, 1.005, 0.155

1

Q.59. Which of the following is not a factor of 3630?

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

4

Q.60. The sum of \(5-5+5-5+5-5.........,\) to odd number of terms is:

1. 15
2. 0
3. -5
4. 5

4