CTET 2020 Paper 1 with answer Keys (Mathematics)

Q.31. Which of the following activities is most likely to develop spatial reasoning among students?

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

Correct Answer: (D)

Q.32. Which of the following is most suitable for teaching children the concept of fractions?

1. Cuisenaire rods
2. Abacus
3. Geoboards
4. Number charts

Correct Answer: (A)

Q.33. Which of the following statements is NOT correct with regard to nature of mathematics?

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

Correct Answer: (D)

Q.34. Identify the correct statement.

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

Correct Answer: (A)

Q.35. In which of the following statements, number ‘three’ is used in ordinal sense?

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

Correct Answer: (B)

Q.36. Identify the correct statement with regard to introducing the concept of triangles at primary level.

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

Correct Answer: (A)

Q.37. Identify the correct statement with respect to the mathematics curriculum.

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

Correct Answer: (B)

Q.38. The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers?

1. 12
2. 5
3. 9
4. 11

Correct Answer: (C)

Q.39. 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. 48
2. 52
3. 15
4. 25

Correct Answer: (D)

Q.40. Amongst the following fractions, the largest and second largest fractions respectively are: \( \frac{5}{6}, \frac{3}{4}, \frac{1}{2}, \frac{2}{3}, \frac{3}{5} \)

1. \(\frac{3}{4}\) and \(\frac{1}{2}\)
2. \(\frac{5}{6}\) and \(\frac{3}{4}\)
3. \(\frac{5}{6}\) and \(\frac{3}{5}\)
4. \(\frac{3}{5}\) and \(\frac{2}{3}\)

Correct Answer: (B)

Q.41. A wire in the form of a square encloses an area of \(144 cm^2\). How much area is enclosed if the same wire is bent in the form of a rectangle of length 16 cm?

1. 96 \(cm^2\)
2. 124 \(cm^2\)
3. 48 \(cm^2\)
4. 128 \(cm^2\)

Correct Answer: (D)

Q.42. In how many ways can 48 small squares of 1 cm × 1 cm be arranged so that the resulting area is 48 cm²?

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

Correct Answer: (B)

Q.43. In school assembly, students of class standing in a line, Ruhi is 19th from both ends. How many students are there?

1. 40
2. 38
3. 37
4. 36

Correct Answer: (C)

Q.44. Asmita reaches school 15 minutes before 8:30 am and is half an hour earlier than her colleague who is 40 minutes late. What is the scheduled time?

1. 8:05 am
2. 8:15 am
3. 9:10 am
4. 8:45 am

Correct Answer: (A)

Q.45. The rates of various stationery items are given below:

A packet of crayons – ₹15.50
A packet of pencils – ₹14.00
A packet of sketch pens – ₹22.50
One scissors – ₹17.00
One eraser – ₹2.00
One sheet of glazed paper – ₹2.50
A pack of decorative stickers – ₹5.00

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

1. ₹102.00
2. ₹98.00
3. ₹86.50
4. ₹100.50

Correct Answer: (D)

Q.46. 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 double of the ones digit. What is the number?

1. 81
2. 72
3. 63
4. 54

Correct Answer: (C)

Q.47. 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 the 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. 42937
2. 87649
3. 49327
4. 83419

Correct Answer: (B)

Q.48. A train starts from Patna on 30^th May, 2020 at 23:40 hours and reaches Mumbai on 1^st June, 2020 at 5:15 hours. What is the total travel time of the train?

1. 28 hours 25 minutes
2. 28 hours 20 minutes
3. 29 hours 35 minutes
4. 29 hours 15 minutes

Correct Answer: (C)

Q.49. 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 into the utensils. What is the capacity of the mug?

1. 320 mL
2. 225 mL
3. 250 mL
4. 275 mL

Correct Answer: (A)

Q.50. What should be subtracted from the sum of 8008, 8088 and 8808 to obtain 17863?

1. 7141
2. 6121
3. 6131
4. 7041

Correct Answer: (D)

Q.51. The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects:

Subject	Maria	Shehnaz
English	74	81
Mathematics	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. The aggregate marks of Maria and Shehnaz are equal.
2. Maria has scored more marks than Shehnaz in all the subjects except the languages.
3. Maria has scored more marks than Shehnaz in only two subjects.
4. Shehnaz’s aggregate marks in Mathematics and Science are more than Maria’s aggregate marks in these subjects.

Correct Answer: (A)

Q.52. 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. 18 km
2. 12 km
3. 13 km
4. 15 km

Correct Answer: (D)

Q.53. Following are some questions posed by the teacher in the mathematics classroom:

A. What is the area of the rectangle whose one side is 5 cm and perimeter is 30 cm?
B. Find a set of numbers whose median is 4.
C. List all prime numbers between 0–8.
D. Tell me anything mathematical information you know about rectangles.

Which of the following statements is correct?

1. A & C are closed-ended and B & D are open-ended questions.
2. A & B are closed-ended questions and C & D are open-ended questions.
3. A, B & C are closed-ended and D is an open-ended question.
4. A is closed-ended and B, C & D are open-ended questions.

Correct Answer: (C)

Q.54. Which of the following is a desirable teaching–learning practice in the context of Mathematics?

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

Correct Answer: (C)

Q.55. Rohit realises that a square is both a rhombus and a rectangle. He is at what stage of Van Hiele’s visual thinking?

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

Correct Answer: (D)

Q.56. Which of the following is least likely to impact teaching–learning in mathematics?

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

Correct Answer: (A)

Q.57. Which of the following statements regarding mathematics teaching–learning is incorrect?

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

Correct Answer: (C)

Q.58. “The sum of any two whole numbers is a whole number.” This property of whole numbers is referred to as

1. Distributive property
2. Closure property
3. Commutative property
4. Associative property

Correct Answer: (B)

Q.59. Which of the following is the most important aspect of teaching of mathematics at primary level?

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

Correct Answer: (B)

Q.60. 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. C and D
2. A and B
3. B and C
4. A and D

Correct Answer: (B)