Pedagogy

CTET Maths MCQ with Answers, Paper 1 (Classes I-V)

222 practice questions on Mathematics, Classes I-V (Paper I) for CTET Paper I, with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

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1. Q.51

   Riya buys a book for ₹ 165 and pays with a ₹ 500 note. Which set of notes and coins is the correct change?

   1. A One ₹ 200, one ₹ 100, one ₹ 20, one ₹ 10 and two ₹ 5
   2. B One ₹ 200, two ₹ 50, one ₹ 20 and one ₹ 5
   3. C One ₹ 200, one ₹ 100, two ₹ 20 and one ₹ 5
   4. D One ₹ 200, one ₹ 100, one ₹ 20, one ₹ 10 and one ₹ 5
   Show answer

   Correct answer: (D) One ₹ 200, one ₹ 100, one ₹ 20, one ₹ 10 and one ₹ 5

   Change = 500 − 165 = ₹ 335, and 200 + 100 + 20 + 10 + 5 = 335. The other sets make ₹ 340, ₹ 325 and ₹ 345.

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2. Q.52

   At a ration shop, Kamla buys 2 kg 500 g of sugar at ₹ 44 per kg and 1 kg 750 g of dal at ₹ 112 per kg. How much does she pay?

   1. A ₹ 278
   2. B ₹ 222
   3. C ₹ 200
   4. D ₹ 306
   Show answer

   Correct answer: (D) ₹ 306

   Sugar: 2½ × 44 = 88 + 22 = ₹ 110. Dal: 1¾ × 112 = 112 + 84 = ₹ 196. Total = 110 + 196 = ₹ 306.

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3. Q.53

   On the 24-hour clock, how is the time half an hour after midnight written?

   1. A 00:30
   2. B 12:30
   3. C 23:30
   4. D 24:30
   Show answer

   Correct answer: (A) 00:30

   The 24-hour clock starts again at 00:00 at midnight, so half an hour later it shows 00:30 (12:30 a.m.). 12:30 is half past noon and 23:30 is half an hour before midnight.

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4. Q.54

   In a bar graph showing grain stored in a godown, the scale is 1 unit = 20 kg. The bar for wheat is 7½ units long. How much wheat is stored?

   1. A 140 kg
   2. B 160 kg
   3. C 27.5 kg
   4. D 150 kg
   Show answer

   Correct answer: (D) 150 kg

   7 units = 7 × 20 = 140 kg and half a unit = 10 kg, so the wheat is 140 + 10 = 150 kg.

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5. Q.55

   What is the difference between the place value and the face value of 6 in 3,46,129?

   1. A 59,994
   2. B 0
   3. C 5,994
   4. D 6,006
   Show answer

   Correct answer: (C) 5,994

   The 6 is in the thousands place, so its place value is 6,000 and its face value is 6. Difference = 6,000 - 6 = 5,994.

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6. Q.56

   A village cricket club buys 2 bats at ₹ 1,250 each and 6 balls at ₹ 185 each. It pays with ten ₹ 500 notes. How much money should it get back?

   1. A ₹ 3,610
   2. B ₹ 2,640
   3. C ₹ 1,390
   4. D ₹ 2,315
   Show answer

   Correct answer: (C) ₹ 1,390

   Bats: 2 × 1,250 = ₹ 2,500; balls: 6 × 185 = ₹ 1,110; total ₹ 3,610. Paid 10 × 500 = ₹ 5,000, so the change is 5,000 − 3,610 = ₹ 1,390.

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7. Q.57

   In a division, the divisor is 26, the quotient is 34 and the remainder is 15. What is the dividend?

   1. A 869
   2. B 75
   3. C 899
   4. D 884
   Show answer

   Correct answer: (C) 899

   Dividend = divisor × quotient + remainder = 26 × 34 + 15 = 884 + 15 = 899. Check: 899 ÷ 26 gives quotient 34 and remainder 15.

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8. Q.58

   Which solid looks like a square when seen from the top, from the front and from the side?

   1. A A cylinder
   2. B A pyramid with a square base
   3. C A tall cuboid with a square base
   4. D A cube
   Show answer

   Correct answer: (D) A cube

   Every face of a cube is a square, so all three views are squares. A cylinder looks like a circle from the top, the pyramid like a triangle from the front, and the tall cuboid like a rectangle from the front.

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9. Q.59

   A school receives 360 kg of rice for mid-day meals. In the first week 3/8 of it is used, and in the second week another 95 kg is used. How much rice is left?

   1. A 225 kg
   2. B 265 kg
   3. C 130 kg
   4. D 220 kg
   Show answer

   Correct answer: (C) 130 kg

   1/8 of 360 kg = 45 kg, so 3/8 = 135 kg is used in the first week. Rice left = 360 − 135 − 95 = 130 kg. (220 kg wrongly takes 3/8 as just 45 kg.)

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10. Q.60

    Meena walks 2 km north from her house, then 5 km east, and then 2 km south. Where is she now with respect to her house?

    1. A 5 km east
    2. B 9 km east
    3. C 5 km west
    4. D 7 km north
    Show answer

    Correct answer: (A) 5 km east

    The 2 km north and the 2 km south cancel each other, leaving only the 5 km walked east. So she is 5 km east of her house, though she has walked 9 km in all.

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11. Q.61

    Which solid has one flat face, one curved surface, one curved edge and one corner?

    1. A Cylinder
    2. B Cone
    3. C Sphere
    4. D Hemisphere (half of a ball)
    Show answer

    Correct answer: (B) Cone

    A cone has a flat circular base, a curved surface, one circular edge round the base and one corner at its tip. A hemisphere has the same face, surface and edge but no corner; a cylinder has two flat faces and a sphere has none.

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12. Q.62

    Consider the following statements:

    1. 1 is a factor of every counting number.

    2. Every counting number is a multiple of itself.

    3. A number has only a limited number of multiples.

    Which of these are correct?

    1. A 2 and 3 only
    2. B 1 and 3 only
    3. C 1, 2 and 3
    4. D 1 and 2 only
    Show answer

    Correct answer: (D) 1 and 2 only

    1 divides every counting number and n = n × 1, so statements 1 and 2 are true. Statement 3 is false: multiples never end (5, 10, 15, ...), though the number of factors is limited.

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13. Q.63

    A bus ticket to a museum costs ₹ 45 per person. A class of 38 children goes with 2 teachers. What is the total cost of the tickets?

    1. A ₹ 1,800
    2. B ₹ 1,710
    3. C ₹ 1,890
    4. D ₹ 1,850
    Show answer

    Correct answer: (A) ₹ 1,800

    Total people = 38 + 2 = 40, so the cost is 40 × 45 = ₹ 1,800. ₹ 1,710 = 38 × 45 leaves out the teachers.

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14. Q.64

    Ravi studies mathematics for 3/4 of an hour and Hindi for 2/3 of an hour. For how long does he study in all?

    1. A 1 hour 15 minutes
    2. B 1 hour 35 minutes
    3. C 1 hour 45 minutes
    4. D 1 hour 25 minutes
    Show answer

    Correct answer: (D) 1 hour 25 minutes

    3/4 hour = 45 minutes and 2/3 hour = 40 minutes; 45 + 40 = 85 minutes = 1 hour 25 minutes.

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15. Q.65

    A fruit seller buys 50 bananas for ₹ 150 and sells all of them at ₹ 4 each. Consider: 1. One banana costs her ₹ 3. 2. She gains ₹ 1 on each banana. 3. Her total profit is ₹ 200. Which statements are correct?

    1. A 1 and 2 only
    2. B 2 and 3 only
    3. C 1 and 3 only
    4. D 1, 2 and 3
    Show answer

    Correct answer: (A) 1 and 2 only

    Cost of one banana = 150 ÷ 50 = ₹ 3, so the gain is 4 − 3 = ₹ 1 each. She receives 50 × 4 = ₹ 200, which is the selling price; the profit is 200 − 150 = ₹ 50, so 3 is wrong.

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16. Q.66

    The floor of a rectangular room is 9 m long and 6 m wide. What is the area of the floor?

    1. A 30 m
    2. B 15 sq m
    3. C 54 m
    4. D 54 sq m
    Show answer

    Correct answer: (D) 54 sq m

    Area = length × breadth = 9 m × 6 m = 54 square metres. 30 m is the perimeter, and area is always written in square units.

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17. Q.67

    When the word BRAND is written in plain block capital letters, how many closed regions (fully enclosed parts) do its letters have in all?

    1. A 3 regions
    2. B 4 regions
    3. C 6 regions
    4. D 5 regions
    Show answer

    Correct answer: (D) 5 regions

    B has 2 closed regions, R has 1, A has 1, N has 0 and D has 1. Total = 2 + 1 + 1 + 0 + 1 = 5.

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18. Q.68

    A rail ticket costs ₹ 385 for an adult; a child pays half the adult fare. What is the total fare for 2 adults and 3 children?

    1. A ₹ 1,925.00
    2. B ₹ 962.50
    3. C ₹ 1,347.50
    4. D ₹ 1,155.00
    Show answer

    Correct answer: (C) ₹ 1,347.50

    Adults: 2 × 385 = ₹ 770. Child fare = 385 ÷ 2 = ₹ 192.50, so 3 children pay ₹ 577.50. Total = 770 + 577.50 = ₹ 1,347.50.

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19. Q.69

    Which of the following is NOT equal to 2.5 kg?

    1. A 2500 g
    2. B 2 kg 500 g
    3. C 2 kg 50 g
    4. D 2 1/2 kg
    Show answer

    Correct answer: (C) 2 kg 50 g

    2.5 kg = 2 kg + 0.5 kg = 2 kg 500 g = 2500 g = 2 1/2 kg. But 2 kg 50 g = 2050 g, which is less.

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20. Q.70

    Hexagons are made in a row with matchsticks, each new hexagon sharing one side with the previous one: 1 hexagon needs 6 sticks, 2 hexagons need 11 and 3 hexagons need 16. How many hexagons can be made in such a row with exactly 101 sticks?

    1. A 16 hexagons
    2. B 19 hexagons
    3. C 17 hexagons
    4. D 20 hexagons
    Show answer

    Correct answer: (D) 20 hexagons

    The first hexagon uses 6 sticks and each new one adds 5, so after the first hexagon 101 − 6 = 95 sticks remain, which make 95 ÷ 5 = 19 more hexagons: 1 + 19 = 20 hexagons. (16 comes from 101 ÷ 6, forgetting the shared sides.)

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21. Q.71

    In a net of a cube, squares 1, 2, 3 and 4 are in a row from left to right, square 5 is joined above square 2 and square 6 below square 2. When the net is folded into a cube, which square is opposite square 1?

    1. A Square 3
    2. B Square 2
    3. C Square 4
    4. D Square 5
    Show answer

    Correct answer: (A) Square 3

    The row 1-2-3-4 wraps round to form the four side faces, so alternate squares face each other: 1 is opposite 3 and 2 is opposite 4. Squares 5 and 6 become the top and bottom, opposite each other.

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22. Q.72

    A staircase is built from a single layer of identical cubes. The bottom row has 5 cubes, and each row above has one cube fewer than the row below it, up to a top row of 1 cube. How many cubes are used?

    1. A 10 cubes
    2. B 15 cubes
    3. C 21 cubes
    4. D 25 cubes
    Show answer

    Correct answer: (B) 15 cubes

    The rows have 5, 4, 3, 2 and 1 cubes, so 5 + 4 + 3 + 2 + 1 = 15 cubes. Check: 5 rows with an average of 3 cubes give 5 × 3 = 15.

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23. Q.73

    Consider the following statements about whole numbers:

    1. Any number multiplied by 0 gives 0.

    2. The product of two 2-digit numbers is always a 4-digit number.

    3. Changing the order of two numbers being multiplied does not change the product.

    Which of these are correct?

    1. A 1 and 2 only
    2. B 2 and 3 only
    3. C 1, 2 and 3
    4. D 1 and 3 only
    Show answer

    Correct answer: (D) 1 and 3 only

    Statements 1 and 3 are true, e.g. 9 × 0 = 0 and 6 × 8 = 8 × 6 = 48. Statement 2 is false: 10 × 10 = 100 and 12 × 15 = 180 are 3-digit products.

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24. Q.74

    In a queue of children, Ravi is 14th from the front and 9th from the back. How many children are in the queue?

    1. A 5
    2. B 22
    3. C 23
    4. D 21
    Show answer

    Correct answer: (B) 22

    There are 13 children ahead of Ravi and 8 behind him, so the total is 13 + 1 + 8 = 22. Adding 14 + 9 = 23 counts Ravi twice.

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25. Q.75

    Which unit is the most suitable for weighing a letter to be sent by post?

    1. A Kilogram
    2. B Gram
    3. C Millilitre
    4. D Centimetre
    Show answer

    Correct answer: (B) Gram

    A letter weighs only a few grams, far less than 1 kg, so the gram is the suitable unit. Millilitre measures capacity and centimetre measures length.

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26. Q.76

    How many months of the year have 31 days?

    1. A 5 months
    2. B 6 months
    3. C 7 months
    4. D 8 months
    Show answer

    Correct answer: (C) 7 months

    January, March, May, July, August, October and December have 31 days, which is 7 months. April, June, September and November have 30, and February has 28 or 29.

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27. Q.77

    A train had 1,250 passengers. At a station, 386 passengers got off and 527 got on. How many passengers are on the train now?

    1. A 337
    2. B 1,391
    3. C 1,109
    4. D 2,163
    Show answer

    Correct answer: (B) 1,391

    1,250 - 386 = 864, and 864 + 527 = 1,391. Check: the train gained 527 - 386 = 141 passengers, and 1,250 + 141 = 1,391.

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28. Q.78

    Arrange these lengths from the shortest to the longest: 1 m 5 cm, 150 cm, 1.2 m, 1025 mm.

    1. A 1 m 5 cm, 1025 mm, 1.2 m, 150 cm
    2. B 1 m 5 cm, 1.2 m, 150 cm, 1025 mm
    3. C 1.2 m, 1 m 5 cm, 1025 mm, 150 cm
    4. D 1025 mm, 1 m 5 cm, 1.2 m, 150 cm
    Show answer

    Correct answer: (D) 1025 mm, 1 m 5 cm, 1.2 m, 150 cm

    In centimetres: 1 m 5 cm = 105 cm, 150 cm, 1.2 m = 120 cm and 1025 mm = 102.5 cm. So the order is 1025 mm, 1 m 5 cm, 1.2 m, 150 cm.

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29. Q.79

    A family has 2 kg 400 g of flour. They use 3/8 of it to make rotis. How much flour is left?

    1. A 900 g
    2. B 1 kg 200 g
    3. C 1 kg 500 g
    4. D 1 kg 600 g
    Show answer

    Correct answer: (C) 1 kg 500 g

    2 kg 400 g = 2,400 g; 1/8 of it is 300 g, so 3/8 = 900 g is used. Flour left = 2,400 − 900 = 1,500 g = 1 kg 500 g.

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30. Q.80

    Consider these statements about multiplication tables: 1. Among the first ten multiples of 7, every digit from 0 to 9 appears exactly once as the ones digit. 2. The first ten multiples of 6 all have even ones digits. Which is correct?

    1. A Only 1
    2. B Only 2
    3. C Both 1 and 2
    4. D Neither 1 nor 2
    Show answer

    Correct answer: (C) Both 1 and 2

    The ones digits of 7, 14, ..., 70 are 7, 4, 1, 8, 5, 2, 9, 6, 3, 0, each digit once. The ones digits of 6, 12, ..., 60 are 6, 2, 8, 4, 0 repeated, all even. Both statements are true.

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31. Q.81

    How many millilitres are there in 2 L 75 mL?

    1. A 275 mL
    2. B 2075 mL
    3. C 2750 mL
    4. D 20075 mL
    Show answer

    Correct answer: (B) 2075 mL

    1 L = 1000 mL, so 2 L = 2000 mL and 2 L 75 mL = 2000 + 75 = 2075 mL. Writing 2750 mL wrongly treats 75 mL as 750 mL.

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32. Q.82

    How is ₹ 25 and 5 paise written in rupees using a decimal point?

    1. A ₹ 25.5
    2. B ₹ 25.005
    3. C ₹ 2.505
    4. D ₹ 25.05
    Show answer

    Correct answer: (D) ₹ 25.05

    100 paise = ₹ 1, so 5 paise = 5/100 of a rupee = ₹ 0.05. Thus ₹ 25 and 5 paise = ₹ 25.05; ₹ 25.5 would be ₹ 25 and 50 paise.

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33. Q.83

    On a school trip, each of 72 children pays an entry ticket of ₹ 55, and the bus fare of ₹ 6,120 is shared equally by the 72 children. How much does each child pay in all?

    1. A ₹ 85
    2. B ₹ 140
    3. C ₹ 6,175
    4. D ₹ 135
    Show answer

    Correct answer: (B) ₹ 140

    Bus share = 6,120 ÷ 72 = ₹ 85 (72 × 85 = 6,120). Each child pays 85 + 55 = ₹ 140. (₹ 6,175 adds the ticket to the whole bus fare without sharing it.)

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34. Q.84

    A bag has 5 kg of rice. Mother uses 650 g of rice each week. How much rice is left after 4 weeks?

    1. A 2 kg 600 g
    2. B 2 kg 400 g
    3. C 3 kg 400 g
    4. D 2 kg 40 g
    Show answer

    Correct answer: (B) 2 kg 400 g

    Rice used = 4 × 650 g = 2600 g. Rice left = 5000 g − 2600 g = 2400 g = 2 kg 400 g. (2 kg 600 g is the rice used, not the rice left.)

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35. Q.85

    A cow gives 7 L 250 mL of milk every day. How much milk does it give in a week?

    1. A 50 L 750 mL
    2. B 50 L 175 mL
    3. C 49 L 750 mL
    4. D 51 L 250 mL
    Show answer

    Correct answer: (A) 50 L 750 mL

    7 × 7 L = 49 L and 7 × 250 mL = 1,750 mL = 1 L 750 mL, so the total is 50 L 750 mL.

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36. Q.86

    What is 4:45 p.m. written on the 24-hour clock?

    1. A 04:45
    2. B 14:45
    3. C 15:45
    4. D 16:45
    Show answer

    Correct answer: (D) 16:45

    For p.m. times from 1 p.m. on, add 12 to the hour: 4 + 12 = 16, so 4:45 p.m. is 16:45. 04:45 would be early morning.

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37. Q.87

    In the number 58,385, what is the difference between the place values of the two 8s?

    1. A 7,992
    2. B 8,080
    3. C 7,920
    4. D 0
    Show answer

    Correct answer: (C) 7,920

    The first 8 is in the thousands place (8,000) and the second is in the tens place (80). 8,000 - 80 = 7,920; their face values are equal, but their place values are not.

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38. Q.88

    Through how many right angles does the minute hand of a clock turn from 4:15 to 5:00?

    1. A 1 right angle
    2. B 2 right angles
    3. C 3 right angles
    4. D 4 right angles
    Show answer

    Correct answer: (C) 3 right angles

    From 4:15 to 5:00 the minute hand moves from 3 to 12, i.e. 45 minutes. Each 15 minutes is a quarter turn (one right angle), so it turns through 3 right angles.

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39. Q.89

    Which numeral stands for 'four lakh five thousand thirty'?

    1. A 4,05,030
    2. B 4,50,030
    3. C 4,05,300
    4. D 40,05,030
    Show answer

    Correct answer: (A) 4,05,030

    Four lakh = 4,00,000, five thousand = 5,000 and thirty = 30, so the number is 4,00,000 + 5,000 + 30 = 4,05,030. The empty ten-thousands and hundreds places get zeros.

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40. Q.90

    An electricity meter read 4,382 units at the start of a month and 4,627 units at the end. If each unit costs ₹ 6.50, what is the bill for the month?

    1. A ₹ 1,592.50
    2. B ₹ 1,470.00
    3. C ₹ 2,372.50
    4. D ₹ 1,715.00
    Show answer

    Correct answer: (A) ₹ 1,592.50

    Units used = 4,627 − 4,382 = 245. Bill = 245 × 6.50 = 1,470 + 122.50 = ₹ 1,592.50.

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41. Q.91

    A cylinder, such as a closed tin can, has:

    1. A 2 flat faces, 1 curved surface and no edges
    2. B 1 flat face, 1 curved surface and 1 edge
    3. C 3 flat faces, no curved surface and 2 edges
    4. D 2 flat faces, 1 curved surface and 2 edges
    Show answer

    Correct answer: (D) 2 flat faces, 1 curved surface and 2 edges

    The top and bottom are 2 flat circular faces joined by 1 curved surface. The 2 circular rims where the flat faces meet the curved surface are its 2 edges; it has no corners.

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42. Q.92

    A school water cooler holds 45 L when full. During recess, 148 children each drink 200 mL of water from the full cooler. How much water is left in it?

    1. A 29 L 600 mL
    2. B 16 L 400 mL
    3. C 15 L 400 mL
    4. D 15 L 600 mL
    Show answer

    Correct answer: (C) 15 L 400 mL

    Water drunk = 148 × 200 mL = 29,600 mL = 29 L 600 mL. Water left = 45,000 mL − 29,600 mL = 15,400 mL = 15 L 400 mL.

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43. Q.93

    Which of the following is the heaviest?

    1. A 1 kg 250 g
    2. B 1.3 kg
    3. C 1 kg 95 g
    4. D 1200 g
    Show answer

    Correct answer: (B) 1.3 kg

    In grams: 1 kg 250 g = 1250 g, 1.3 kg = 1300 g, 1 kg 95 g = 1095 g, and 1200 g. So 1.3 kg is the heaviest: 1.3 kg means 1 kg 300 g, which is more than 1 kg 250 g even though 3 looks smaller than 250.

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44. Q.94

    Squares are made in a row with matchsticks, each new square sharing a side with the previous one: 1 square needs 4 sticks, 2 squares need 7 and 3 squares need 10. How many sticks are needed for 15 squares?

    1. A 60 sticks
    2. B 45 sticks
    3. C 46 sticks
    4. D 49 sticks
    Show answer

    Correct answer: (C) 46 sticks

    The first square needs 4 sticks and each new square adds 3, so 15 squares need 4 + 14 × 3 = 46 sticks (that is, 3 × 15 + 1). 60 forgets the shared sides.

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45. Q.95

    In a survey, children voted for their favourite fruit: mango 18, banana 11, apple 14, guava 9 and orange 13. How many children voted, and which fruit was the least popular?

    1. A 65 children; banana
    2. B 56 children; guava
    3. C 65 children; guava
    4. D 64 children; mango
    Show answer

    Correct answer: (C) 65 children; guava

    Total = 18 + 11 + 14 + 9 + 13 = 65 children. The smallest number of votes is 9, for guava.

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46. Q.96

    When a whole number is divided by 13, which of the following can NOT be the remainder?

    1. A 12
    2. B 13
    3. C 0
    4. D 9
    Show answer

    Correct answer: (B) 13

    The remainder must be less than the divisor, so it can only be 0, 1, ..., 12. A remainder of 13 would mean one more group of 13 could still be taken out.

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47. Q.97

    On a balance, 4 identical packets exactly balance a 1 kg weight and a 200 g weight placed together. What is the weight of one packet?

    1. A 50 g
    2. B 200 g
    3. C 300 g
    4. D 450 g
    Show answer

    Correct answer: (C) 300 g

    The 4 packets weigh 1 kg + 200 g = 1200 g, so one packet = 1200 ÷ 4 = 300 g. Check: 4 × 300 g = 1200 g.

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48. Q.98

    The population of a town is 4,67,549. What is this population rounded off to the nearest thousand?

    1. A 4,67,500
    2. B 4,68,000
    3. C 4,67,000
    4. D 4,70,000
    Show answer

    Correct answer: (B) 4,68,000

    The hundreds digit is 5, so 549 is at least half a thousand and we round up: 4,67,549 → 4,68,000. Rounding to the nearest ten thousand would give 4,70,000.

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49. Q.99

    Both diagonals of a square are drawn. How many triangles of all sizes can be seen in the figure?

    1. A 4 triangles
    2. B 6 triangles
    3. C 10 triangles
    4. D 8 triangles
    Show answer

    Correct answer: (D) 8 triangles

    The diagonals cut the square into 4 small triangles that meet at the centre. Each diagonal also splits the square into 2 large triangles, giving 4 more, so 4 + 4 = 8.

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50. Q.100

    A packet of biscuits costs ₹ 12.50. Gita has ₹ 85. How many packets can she buy, and how much money will be left?

    1. A 7 packets; ₹ 2.50 left
    2. B 6 packets; ₹ 7.50 left
    3. C 7 packets; ₹ 1.00 left
    4. D 6 packets; ₹ 10.00 left
    Show answer

    Correct answer: (D) 6 packets; ₹ 10.00 left

    6 packets cost 6 × 12.50 = ₹ 75 and 7 packets would cost ₹ 87.50, which is more than ₹ 85. So she buys 6 packets and has 85 − 75 = ₹ 10 left.

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