CTET 2024 Jan Paper 1 with answer keys (Mathematics)

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Q.31. Which of the following should be the characteristics of mathematical language at primary level?
(a) It should be precise.
(b) It must be ambiguous as it can add openness in the subject.
(c) It should be reinforced through child's language used in everyday life.
(d) It must be highly technical as it will help students to communicate accurately in mathematics.

1. (a) and (d)
2. (a), (b) and (c)
3. (a) and (c)
4. (a), (c) and (d)

3

Q.32. A student of class III solved \(26 \times 5\) as follows:
  26
x 5
----
1030
Revisiting which of the following will best remediate this misconception?

1. Multiplication of one digit by one digit
2. Concept of regrouping
3. Recalling multiplication tables
4. One to one correspondence

2

Q.33. A number becomes double if it is increased by 8. What is the number?

1. 6
2. 8
3. 12
4. 16

2

Q.34. One millimetre is the same as :

1. 0.01 cm
2. 0.1 cm
3. 0.01 m
4. 0.1 m

2

Q.35. A ________ is always a regular polygon.

1. Isosceles triangle
2. Square
3. Pentagon
4. Circle

2

Q.36. The sum of all angles of a triangle is:

1. \(60^{\circ}\)
2. \(90^{\circ}\)
3. \(180^{\circ}\)
4. \(360^{\circ}\)

3

Q.37. Which of the following is/are related to early number concept formation?
(a) One to one correspondence
(b) Hierarchical inclusion
(c) Basic operations

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

3

Q.38. Which of the following statements is/are most appropriate for the idea of cognitive conflict in teaching mathematics?
(a) Thoughtful efforts of a teacher to expose children to cognitive conflict can enhance their mathematical understanding.
(b) It is not useful for promoting mathematical understanding in children.
(c) Children get confused so cognitive conflict must be avoided.

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

3

Q.39. Which aspect of evaluation is used when a teacher ensures that test made by her fulfils the objectives and criteria of that test?

1. Validity
2. Practicality
3. Reliability
4. Consistency

1

Q.40. What should be subtracted from the sum of 9909, 9099 and 9009 to obtain 25454?

1. 2356
2. 2365
3. 2536
4. 2563

4

Q.41. Which of the following statements is correct?

1. 1 is a prime number
2. 1 is a composite number
3. 1 is both, a prime and a composite number
4. 1 is neither prime nor a composite number

4

Q.42. See the number pattern given below :
1, 8, 27, 64, 125, ________, ________
What will be the next two terms ?

1. 256 and 289
2. 216 and 289
3. 256 and 343
4. 216 and 343

4

Q.43. Which of the following statement is least appropriate for encouraging mathematical learning?

1. Failure does not imply that students cannot do mathematics.
2. Everyone can learn mathematics.
3. Mathematics learning is not gender specific.
4. Discourage intuition as it hampers the development of mathematical ideas.

4

Q.44. The value of \(25.3 \times 5 - 35 \div 5 - 3 \times 18.5\) is:

1. 283.05
2. 64.0
3. 95.0
4. -26.5

2

Q.45. According to National Education Policy (NEP) 2020, assessment of learners include:

1. Cognitive and physical domains
2. Cognitive, affective and psychomotor domains
3. Cognitive, social and spiritual domains
4. Physical and psychological domains

2

Q.46. A frog jumps 3 steps and a rabbit jumps 7 steps at a time starting from a place O. At which of the following steps, they both will be jumping together?

1. 343
2. 371
3. 378
4. 354

3

Q.47. The number of degrees in \(2\frac{2}{3}\) right angles is :

1. 210
2. 285
3. 240
4. 330

3

Q.48. Which one of the following costs least ?

1. 75 packets of ₹ 750 each
2. 750 packets of ₹ 7.50 each
3. 7.5 dozen items of ₹ 750 each item
4. 75 dozen items of ₹ 7.50 each item

2

Q.49. National Education Policy (NEP) - 2020 talks about "Knowledge of India". Which of the following are not included in it?

1. Knowledge from ancient India and its contributions to modern India.
2. Tribal knowledge, indigenous and traditional ways of learning as part of various subjects like Mathematics, Astronomy, Medicine, Agriculture etc.
3. Field visits to different states as part of cultural exchange programmes.
4. Formal examination to assess the knowledge gained by the students.

4

Q.50. Which of the following model is least appropriate to develop the conceptual understanding regarding the relationships of ones, tens and hundreds in early grade learners?

1. Dienes blocks
2. Money
3. Abacus
4. Place value chart

4

Q.51. Brij had a wire of length 100 metres to cover the land of his choice. He wanted to take the biggest land. Which of the following measurements should he choose to take the biggest area?

1. \(15~m \times 35~m\)
2. \(30~m \times 20~m\)
3. \(25~m \times 25~m\)
4. \(5~m \times 45~m\)

3

Q.52. Which of the following is not true about 'multiplicity of approaches' in teaching mathematics?

1. Very often, there are many ways of solving a problem.
2. It hampers the learning of child as it leads to confusion.
3. Offering such a choice allows children to explore and use the approach that is most natural and easy for them.
4. It is crucial for liberating school mathematics from the tyranny of the one correct answer.

2

Q.53. Which of the following statement is most appropriate ?

1. Mathematics lab is essential as it provides opportunities for hands on activities for students.
2. Charts are used in mathematics class as an effective teaching-learning material.
3. Use of teaching-learning material in mathematics class consume students' time for practice.
4. Students do not enjoy riddles in mathematics class.

1

Q.54. How many packets of \(\frac{1}{12}~kg\) salt can be made from \(7\frac{1}{2}~kg\) of salt?

1. 45
2. 60
3. 72
4. 90

4

Q.55. While solving \(182 - 67\) in class II, a teacher explained that we have to subtract 7 from 2 and 2 is smaller than 7. So we will borrow one from 8 and then we can subtract 7 from 12. One student told teacher: Mam! why we are borrowing from eight, as borrowing is not good. What a teacher should do in such a situation ?

1. Teacher should scold the student and make him sit.
2. Teacher should change the word 'borrowing' to 'regrouping' and then show the process of regrouping.
3. Teacher should tell the student to focus on learning the algorithm of subtraction.
4. Teacher should ignore the student's question and continue with her work.

2

Q.56. Yamina threw a die 10 times and got the following results:
5, 3, 6, 6, 1, 4, 5, 3, 3, 2
Which of the following numbers she got the maximum number of times ?

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

2

Q.57. Which of the following is true for word problems in school mathematics?

1. Word problems refer to exercises where the child formalises the situation into a form where a specific mathematical technique can be applied.
2. Word problems are not examples of mathematical modelling.
3. Word problems are important in secondary classes only.
4. Word problems focus more on procedural knowledge in mathematics.

1

Q.58. The parcel sending rates are given below :

Service	Rate (₹)
Parcel weighing 50 grams or less	15.00
For every additional 50 grams	7.00

Meena wants to send a parcel to her friend Charu in Delhi. The parcel weighs 350 g. Look at the charges and select the correct cost of sending the parcel :

1. 42
2. 50
3. 55
4. 57

4

Q.59. Which of the following is most appropriate to introduce 'Data Handling' at primary stage ?

1. Asking the students to read time tables of bus and train timings.
2. Within classroom, collecting statistics of students' height; favourite food; colour; cartoon etc. and asking questions related to data.
3. Showing population census of a city for five years and asking students to compare population growth.
4. Drawing a bar graph on the blackboard and asking students to read the data from it.

2

Q.60. According to National Curriculum Framework, 2005, which of the following processes are least relevant in a primary mathematics classroom?

1. Memorising formulae
2. Use of patterns
3. Visualization
4. Making connections and representations

1