CTET 2019 July Paper 1 with answer keys (Mathematics)

Q.31. A beaker is \(\frac{3}{7}\) filled with water. Another 16 L of water is needed to fill the beaker to its brim. What is the capacity of the beaker?

  1. 14 L
  2. 50 L
  3. 100 L
  4. 28 L
Correct Answer: (D)

Q.32. Which of the following represents descending order of numbers?

  1. 3.05, 3.005, 3.50, 3.055, 30.5, 0.355
  2. 30.5, 3.50, 3.055, 3.05, 3.005, 0.355
  3. 30.5, 3.50, 3.05, 3.055, 3.005, 0.355
  4. 30.5, 3.05, 3.055, 3.50, 3.005, 0.355
Correct Answer: (B)

Q.33. A shopkeeper mixed 5.3 kg of almonds, 2100 g of raisins and 2.2 kg of cashews and packed the mixture equally into two dozen packets. What is the weight of each packet?

  1. 300 g
  2. 400 g
  3. 450 g
  4. 500 g
Correct Answer: (B)

Q.34. What number am I?

  • I am a two-digit even number.
  • I am a common multiple of 3, 4 and 6.
  • I have total 9 factors.
  1. 48
  2. 56
  3. 24
  4. 36
Correct Answer: (D)

Q.35. Asha plans to save some money from household expenditure to buy a mobile phone. Every week she saves ₹50 on Monday, ₹100 on Wednesday and ₹80 on Friday and spends ₹60 from this on Sunday. How many weeks would she take to save enough to buy a mobile phone of ₹5,950?

  1. 25
  2. 35
  3. 30
  4. 40
Correct Answer: (C)

Q.36. If \((11011)_2 = (\_\_\_)_{10}\), then the number in the blank space is

  1. 22
  2. 27
  3. 30
  4. 33
Correct Answer: (B)

Q.37. The side of a square is 10 cm. How many times will the new perimeter become if the side of the square is doubled?

  1. Remains same
  2. 4 times
  3. 3 times
  4. 2 times
Correct Answer: (D)

Q.38. Which of the following letters have both horizontal and vertical lines of symmetry?

  1. A
  2. X
  3. C
  4. Y
Correct Answer: (B)

Q.39. \(72 \times 28 = 36 \times 4 \times \_\_\_\)

The number in the blank is:

  1. (A), (B), (C)
  2. (A), (D), (B)
  3. (C), (D), (E)
  4. (A), (D), (E)
Correct Answer: (D)

Q.40. A teacher of Class III wants to explain the concept of ‘Quarter’ \(\frac{1}{4}\) to her students. She plans the following sequence:

(A) Dividing a whole into four equal parts and shading one part
(B) Representing the shaded part symbolically as \(\frac{1}{4}\)
(C) Relating the concept to real life situations like sharing of a chapati or an apple

What is the correct sequence that the teacher needs to follow?

  1. (A), (B), (C)
  2. (A), (C), (B)
  3. (B), (C), (A)
  4. (C), (A), (B)
Correct Answer: (C)

Q.41. A Class-III student perform multiplication of 16 × 25 as follows :

\(16 × 25 = 8 × 2 × 5 × 5\)
\(= 8 × 5 × 2 × 5\)
\(= 40 × 10\)
\(= 400\)

Which property of multiplication has the student used in this question ?

  1. Distributive law
  2. Associative law
  3. Repeated addition
  4. Inverse multiplication law
Correct Answer: (B)

Q.42. How will you cater to the needs of visually challenged students in an inclusive classroom?

  1. Make them sit with high achievers
  2. Use alternate teaching-learning methods and resources
  3. Send them to special educator
  4. Provide them extra time for practice
Correct Answer: (B)

Q.43. Which of the following is NOT a mathematical process?

  1. Transposition
  2. Visualisation
  3. Memorisation
  4. Estimation
Correct Answer: (C)

Q.44. Which of the following is NOT related to early number concept?

  1. Classification
  2. Class inclusion
  3. Conservation
  4. Measurement
Correct Answer: (D)

Q.45. Consider the following statements :

A. A number is an abstract idea.
B. A numeral is a symbol used to represent a number.

Which of the following statements is correct?

  1. Both A and B are incorrect
  2. A is correct but B is incorrect
  3. B is correct but A is incorrect
  4. Both A and B are correct
Correct Answer: (D)

Q.46. Which statement correctly matches addition word problems?

  1. A: augmentation, B: aggregation
  2. A: aggregation, B: augmentation
  3. Both aggregation
  4. Both augmentation
Correct Answer: (B)

Q.47. Arrange 25 tiles in all possible rectangular arrays. Which concept is addressed?

  1. Volume, area, length
  2. Area, factors, perimeter
  3. Area, perimeter, volume
  4. Area, volume, length
Correct Answer: (B)

Q.48. Identify the correct statement about conservation of measurement.

  1. Weight before volume
  2. Volume before mass
  3. Weight before number
  4. Length before number
Correct Answer: (A)

Q.49. Van Hiele’s levels refer to development of

  1. Number concept
  2. Place value
  3. Geometrical thinking
  4. Fractions
Correct Answer: (C)

Q.50. Which are problem-solving strategies?

  1. Trial and error, drawing, memorisation
  2. Drawing, working back, rote learning
  3. Reasoning, variables, patterns
  4. Memorisation, guess and test
Correct Answer: (C)

Q.51. Best resource to explain \(0.3 \times 0.2 = 0.06\)

  1. Dienes blocks
  2. Taylor’s abacus
  3. Number chart
  4. Graph paper
Correct Answer: (D)

Q.52. As per NCF 2005, primary mathematics curriculum should

  1. Relate to daily life
  2. Focus on procedures
  3. Provide rigour
  4. Prepare for higher maths
Correct Answer: (A)

Q.53. NOT a characteristic of effective mathematics pedagogy

  1. Multiple strategies
  2. Strict time rules
  3. Error analysis
  4. Life connections
Correct Answer: (B)

Q.54. NOT an effective assessment strategy

  1. Conceptual tasks
  2. Error analysis
  3. Multi-response tasks
  4. Only group tasks
Correct Answer: (D)

Q.55. How many quarters are there in \(18\frac{3}{4}\)?

  1. 68
  2. 75
  3. 72
  4. 35
Correct Answer: (B)

Q.56. Volleyball players = 160. How many play chess?

  1. 40
  2. 120
  3. 80
  4. 20
Correct Answer: (A)

Q.57. Deepa goes to a post office to post letters and parcels. The postal rates are as follows :

Letter: Up to 20 g – ₹5; every additional 20 g – ₹2
Parcel: Up to 50 g – ₹5; every additional 50 g – ₹3

She sends two parcels weighing 250 g and 300 g and two letters weighing 20 g and 35 g respectively. How much postal charge does she have to pay?

  1. ₹41
  2. ₹48
  3. ₹39
  4. ₹49
Correct Answer: (4)

Q.58. Digits 2, 3, 4, 6, 7 and 8 are arranged in the following blanks :

___ ___ ___
+ ___ ___ ___

The largest possible number after addition is

  1. 808
  2. 1605
  3. 1560
  4. 1308
Correct Answer: (2)

Q.59. Read the following railway timings of New Delhi–Chennai Rajdhani Express and answer the question.

Station Arrival Departure
New Delhi 15:55
Bhopal 23:55 00:05
Nagpur 05:25 05:35
Vijaywada 14:15 14:30
Chennai 20:45 end

Which of the following statements is true?

  1. The duration of journey from Bhopal to Vijaywada is 13 hr 10 min.
  2. The duration of journey from Nagpur to Chennai is 15 hr 10 min.
  3. The duration of journey from New Delhi to Nagpur is 11 hr 30 min.
  4. The duration of journey from Bhopal to Chennai is 21 hr 40 min.
Correct Answer: (2)

Q.60. A whole number is added to 50 and subtracted from 50. Sum is

  1. 25
  2. 50
  3. 0
  4. 100
Correct Answer: (D)

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