CTET Paper 1 January 2021 with answer key (Mathematics)

Q.31. In how many ways, 48 small squares of 1 cm × 1 cm can be arranged so that the resulting area is 48 cm2?

  1. 6
  2. 4
  3. 5
  4. 2
Correct Answer: (3)

Q.32. In school assembly, students of a class are standing in a line. Ruhi is 19th from both ends. How many students are present in that class?

  1. 38
  2. 37
  3. 36
  4. 40
Correct Answer: (2)

Q.33. Asmita reaches school for a meeting 15 minutes before 8.30 am. She reached half an hour earlier than her colleague who is 40 minutes late for meeting. What is the scheduled time of the meeting?

  1. 8.15 am
  2. 9.10 am
  3. 8.45 am
  4. 8.05 am
Correct Answer: (4)

Q.34. A number is larger than half of 100. It is more than 6 tens and less than 8 tens. The sum of its digits is 9. The tens digit is the double of the ones digit. What is the number?

  1. 72
  2. 63
  3. 54
  4. 81
Correct Answer: (2)

Q.35. Sohail buys one packet of crayons, two packets of pencils, one packet of sketch pens, one scissors, 5 sheets of glazed papers and one pack of decorative stickers. How much would he be required to pay?

  1. ₹ 98.00
  2. ₹ 86.50
  3. ₹ 100.50
  4. ₹ 102.00
Correct Answer: (3)

Q.36. A train starts from Patna on 30th May, 2020 at 23:40 hours and reaches Mumbai on 1st June, 2020 at 5:15 hours. What is the total travel time of train?

  1. 28 hours 20 minutes
  2. 29 hours 35 minutes
  3. 29 hours 15 minutes
  4. 28 hours 25 minutes
Correct Answer: (2)

Q.37. In a five digit number, the digit at the hundreds place is three-fourth of the digit at ten thousands place and the digit at tens place is two-third of the digit at hundreds place. The digit at tens place is square of the smallest prime number and the digit at thousands place is the largest single digit prime number. If the digit at unit place is the largest single digit odd number, then the number is

  1. 87649
  2. 49327
  3. 83419
  4. 42937
Correct Answer: (1)

Q.38. What should be subtracted from the sum of 8008, 8088 and 8808 to obtain 17863?

  1. 6121
  2. 6131
  3. 7041
  4. 7141
Correct Answer: (3)

Q.39. A bucket of 16 litres capacity is filled to the brim with water. Water from this bucket is to be transferred into smaller utensils. A mug filled to capacity has to be dipped 50 times to completely transfer the water in the bucket into the utensils. What is the capacity of the mug?

  1. 225 mL
  2. 250 mL
  3. 275 mL
  4. 320 mL
Correct Answer: (4)

Q.40. A taxi meter shows charges of ₹ 50 for the first two kilometres of journey and ₹ 16 for every subsequent kilometre travelled. Manju pays ₹ 258 as fare to travel from her house to the railway station. How far is the railway station from her home?

  1. 12 km
  2. 13 km
  3. 15 km
  4. 18 km
Correct Answer: (3)

Q.41. The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects :

Subject Maria Shehnaz
English 74 81
Maths 88 78
Social Science 65 77
Hindi 73 72
Science 90 82

Based on the table above identify the correct statement from among the following :

  1. Maria has scored more marks than Shehnaz in all the subjects except the languages.
  2. Maria has scored more marks than Shehnaz in only two subjects.
  3. Shehnaz’s aggregate marks in Maths and Science are more than Maria’s aggregate marks in these subjects.
  4. The aggregate marks of Maria and Shehnaz are equal.
Correct Answer: (4)

Q.42. Which of the following is a desirable teaching-learning practice in the context of Mathematics?

  1. Open ended questions should be avoided to prevent confusion.
  2. Intuitive understanding of concepts should be encouraged.
  3. Open book tests should be avoided.
  4. Students should be told to follow the prescribed steps of solving problems.
Correct Answer: (2)

Q.43. Following are some questions posed by the teacher in the mathematics classroom. Identify the correct option.

  1. A & B are closed ended questions and C & D are open ended questions.
  2. A, B & C are closed ended and D is open ended question.
  3. A is closed ended and B, C & D are open ended questions.
  4. A & C are closed ended and B & D are open ended questions.
Correct Answer: (4)

Q.44. Which of the following is least likely to impact teaching-learning in mathematics?

  1. Enhanced quality of feedback
  2. Using results of assessment to modify teaching
  3. Knowing ways in which assessment affected the confidence of learners
  4. Providing complete solutions to students’ wrong answers
Correct Answer: (4)

Q.45. Rohit realises that square is both a rhombus and a rectangle. He is at what stage of Van Hiele’s visual thinking?

  1. Level 0 (Recognition)
  2. Level 1 (Analysis)
  3. Level 2 (Relationships)
  4. Level 3 (Deduction)
Correct Answer: (3)

Q.46. “The sum of any two whole numbers is a whole number.” This property of whole numbers is referred to as

  1. Closure property
  2. Commutative property
  3. Associative property
  4. Distributive property
Correct Answer: (1)

Q.47. Which of the following statements regarding mathematics teaching–learning is incorrect?

  1. Mathematical learning is a social process involving dialogue.
  2. Culture and context has no role in constructing mathematical knowledge.
  3. Mathematical knowledge can be created in primary class students through observation of pattern and generalisations.
  4. Argumentation and negotiation play an important role in creating mathematical knowledge.
Correct Answer: (2)

Q.48. Which of the following statements is/are true regarding teaching ‘Numbers’ at primary level?

A. Intuitive understanding of numbers should be encouraged.

B. Writing numbers should be taught in sequence.

C. Writing of numbers as numerals should precede counting.

D. Order irrelevance of numbers should be encouraged.

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

Q.49. Which of the following is the most important aspect of teaching of mathematics at primary level?

  1. Making mathematics part of children’s life experiences
  2. Developing rigour in calculations
  3. Preparing for higher education and employment
  4. Promoting and preparing for technology
Correct Answer: (1)

Q.50. Which of the following activities is most likely to develop spatial reasoning among students?

  1. Identifying patterns in a number chart
  2. Solving Sudoku puzzles
  3. Identifying tessellating figures
  4. Drawing bar graphs to represent data
Correct Answer: (3)

Q.51. Which of the following is most suitable for teaching children the concept of fractions?

  1. Abacus
  2. Geoboards
  3. Number charts
  4. Cuisenaire rods
Correct Answer: (4)

Q.52. Which of the following statements is NOT correct with regard to nature of mathematics?

  1. Argumentation skill is important in construction of mathematical knowledge.
  2. Mathematical concepts are hierarchical in nature.
  3. Primary level mathematics is concrete and does not require abstraction.
  4. Mathematics uses special vocabulary to communicate ideas precisely.
Correct Answer: (3)

Q.53. In which of the following statements, number ‘three’ is used in ordinal sense?

  1. I live on the third floor of this building.
  2. This house has three rooms.
  3. All groups have three team members.
  4. This box contains many sets of three pencils.
Correct Answer: (1)

Q.54. Identify the correct statement.

  1. If two figures have same area, their perimeters are equal.
  2. If two figures have same perimeter, their areas are equal.
  3. The units of perimeter and area are same.
  4. The shape of figure determines the perimeter.
Correct Answer: (4)

Q.55. Identify the correct statement with respect to the mathematics curriculum.

  1. The foundation of algebraic thinking can be laid at primary level.
  2. The concept of fractions should be introduced only at upper primary level.
  3. The concept of negative numbers should be introduced at primary level for better understanding.
  4. The concept of area-measurement should be introduced only at upper primary level.
Correct Answer: (1)

Q.56. Identify the correct statement with regard to introducing the concept of triangles at primary level.

  1. Definition of a triangle should be provided first.
  2. Children should only be exposed to equilateral triangles to avoid confusion.
  3. Children should be exposed to triangles of all types but exposure to other figures should be avoided.
  4. Children should be exposed to triangles of all types and also to other figures.
Correct Answer: (4)

Q.57. In a division sum, the divisor is 5 times the quotient and twice the remainder. If the remainder is 5, what is the number?

  1. 52
  2. 15
  3. 25
  4. 48
Correct Answer: (3)

Q.58. The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers?

  1. 5
  2. 9
  3. 11
  4. 12
Correct Answer: (2)

Q.59. A wire in the form of a square encloses an area of 144 cm2. How much area is enclosed if the same wire is bent in the form of a rectangle of length 16 cm?

  1. 124 cm2
  2. 48 cm2
  3. 128 cm2
  4. 96 cm2
Correct Answer: (3)

Q.60. Amongst the following fractions, the largest and second largest fractions, respectively are

\(\dfrac{5}{6}, \dfrac{3}{4}, \dfrac{1}{2}, \dfrac{2}{3}, \dfrac{3}{5}\)

  1. \(\dfrac{5}{6}\) and \(\dfrac{3}{4}\)
  2. \(\dfrac{5}{6}\) and \( \dfrac{3}{5}\)
  3. \(\dfrac{3}{5}\) and \( \dfrac{2}{3}\)
  4. \(\dfrac{3}{4}\) and \(\dfrac{1}{2}\)
Correct Answer: (1)

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