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Basic mathematics

Written by Hassan Raza (Mathematics)

20 FAST Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. What is 25% of 480?

    • 1 160
    • 2 100
    • 3 120
    • 4 140
    Show answer

    Correct answer: 120

    25% is one quarter, and 480 divided by 4 is 120.

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  2. Two numbers are in the ratio 3 : 5 and their sum is 64. The larger number is:

    • 1 32
    • 2 24
    • 3 36
    • 4 40
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    Correct answer: 40

    The sum of the parts is 8, so one part is 8 and the larger number is 5 × 8 = 40.

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  3. A train travels at 60 km per hour for 2.5 hours. The distance covered is:

    • 1 180 km
    • 2 135 km
    • 3 120 km
    • 4 150 km
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    Correct answer: 150 km

    Distance = speed × time = 60 × 2.5 = 150 km.

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  4. The simple interest on Rs 5000 at 8% a year for 3 years is:

    • 1 Rs 1500
    • 2 Rs 1000
    • 3 Rs 1200
    • 4 Rs 400
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    Correct answer: Rs 1200

    Interest = 5000 × 8 × 3 ÷ 100 = 1200.

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  5. The LCM of 12 and 18 is:

    • 1 216
    • 2 72
    • 3 36
    • 4 6
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    Correct answer: 36

    12 = 2² × 3 and 18 = 2 × 3², so the LCM is 2² × 3² = 36.

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  6. The average of five numbers is 20. A sixth number, 32, is added. The new average is:

    • 1 26
    • 2 24
    • 3 21
    • 4 22
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    Correct answer: 22

    The sum is 100 + 32 = 132, and 132 ÷ 6 = 22.

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  7. A shirt priced at Rs 1500 is sold at a 20% discount. The selling price is:

    • 1 Rs 1000
    • 2 Rs 1280
    • 3 Rs 1200
    • 4 Rs 1300
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    Correct answer: Rs 1200

    The discount is 300, so the price is 1500 − 300 = 1200.

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  8. The value of 3/4 + 5/6 is:

    • 1 15/24
    • 2 19/12
    • 3 4/3
    • 4 8/10
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    Correct answer: 19/12

    The common denominator is 12: 9/12 + 10/12 = 19/12.

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  9. If 2x + 7 = 25, then x is:

    • 1 9
    • 2 11
    • 3 16
    • 4 7
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    Correct answer: 9

    2x = 18, so x = 9.

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  10. Eight workers finish a job in 12 days. How many days will 6 workers need?

    • 1 18
    • 2 14
    • 3 16
    • 4 9
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    Correct answer: 16

    The work is 8 × 12 = 96 worker days, and 96 ÷ 6 = 16 days.

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  11. The square root of 1764 is:

    • 1 38
    • 2 44
    • 3 46
    • 4 42
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    Correct answer: 42

    42 × 42 = 1764.

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  12. An item bought for Rs 800 is sold for Rs 1000. The profit percentage is:

    • 1 30%
    • 2 20%
    • 3 25%
    • 4 200%
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    Correct answer: 25%

    Profit is 200 on a cost of 800, which is 25%.

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  13. 40% of 250 is:

    • 1 100
    • 2 90
    • 3 125
    • 4 110
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    Correct answer: 100

    40 ÷ 100 × 250 = 100.

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  14. The average of 12, 15 and 18 is:

    • 1 15
    • 2 16
    • 3 45
    • 4 14
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    Correct answer: 15

    The sum is 45 and 45 ÷ 3 = 15.

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  15. Rs 600 is shared in the ratio 2 : 3. The larger share is:

    • 1 Rs 300
    • 2 Rs 360
    • 3 Rs 240
    • 4 Rs 400
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    Correct answer: Rs 360

    One part is 120, so the larger share is 3 × 120 = 360.

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  16. A can do a job in 10 days and B in 15 days. Working together they finish it in:

    • 1 5 days
    • 2 25 days
    • 3 12.5 days
    • 4 6 days
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    Correct answer: 6 days

    Their daily work is 1/10 + 1/15 = 1/6.

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  17. A speed of 72 km/h is equal to:

    • 1 15 m/s
    • 2 25 m/s
    • 3 20 m/s
    • 4 72 m/s
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    Correct answer: 20 m/s

    72 × 1000 ÷ 3600 = 20 m/s.

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  18. The area of a triangle with base 10 cm and height 6 cm is:

    • 1 36 cm²
    • 2 60 cm²
    • 3 30 cm²
    • 4 16 cm²
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    Correct answer: 30 cm²

    Area = ½ × 10 × 6 = 30.

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  19. The decimal 0.75 as a fraction is:

    • 1 1/75
    • 2 3/5
    • 3 3/4
    • 4 7/5
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    Correct answer: 3/4

    0.75 = 75/100 = 3/4.

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  20. If x ÷ 4 = 9 ÷ 12, then x is:

    • 1 2
    • 2 36
    • 3 3
    • 4 4
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    Correct answer: 3

    The ratio 9/12 is 3/4, so x = 3.

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