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40 math trivia questions with answers

Number, fraction, shape and algebra questions with worked answers. Use the explanations to check the method as well as the result.

Updated · 40 questions

40 questions · Math trivia questions with answers · answers included

Math trivia questions with answers

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Showing 40 of 40

  1. What is 17 + 26?

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    Answer

    43

    17 + 20 + 6 = 43.

  2. What is 90 − 37?

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    Answer

    53

    90 − 30 − 7 = 53.

  3. What is 8 × 7?

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    Answer

    56

    Eight groups of seven total 56.

  4. What is 144 ÷ 12?

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    Answer

    12

    12 × 12 = 144.

  5. What is half of three quarters?

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    Answer

    Three eighths

    3/4 × 1/2 = 3/8.

  6. Write one fifth as a decimal.

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    Answer

    0.2

    1 ÷ 5 = 0.2.

  7. What is 15% of 200?

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    Answer

    30

    0.15 × 200 = 30.

  8. A price rises from 40 to 50. What is the percentage increase?

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    Answer

    25%

    The increase is 10; 10 ÷ 40 × 100 = 25.

  9. What is the square root of 81?

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    Answer

    9

    9 × 9 = 81.

  10. What is 2 to the fifth power?

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    Answer

    32

    2 × 2 × 2 × 2 × 2 = 32.

  11. What is the perimeter of a square with side 6 cm?

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    Answer

    24 cm

    Four sides × 6 cm = 24 cm.

  12. What is the area of a rectangle 8 cm by 3 cm?

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    Answer

    24 square centimetres

    8 × 3 = 24.

  13. What is the mean of 4, 7 and 10?

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    Answer

    7

    (4 + 7 + 10) ÷ 3 = 7.

  14. What is the median of 2, 3, 9, 11 and 20?

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    Answer

    9

    The middle entry of the ordered list is 9.

  15. Which appears most often in 4, 5, 4, 7, 4, 5?

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    Answer

    4

    Four appears three times.

  16. Solve 3x + 2 = 17.

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    Answer

    x = 5

    Subtract 2 then divide by 3.

  17. What is the next number in 3, 6, 12, 24 if each term doubles?

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    Answer

    48

    24 × 2 = 48.

  18. How many minutes are in two and a half hours?

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    Answer

    150

    2.5 × 60 = 150.

  19. How many sides do three separate triangles have altogether?

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    Answer

    9

    3 × 3 = 9.

  20. How many degrees remain from a straight angle after 65 degrees?

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    Answer

    115 degrees

    180 − 65 = 115.

  21. What is 0.6 + 0.25?

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    Answer

    0.85

    60 hundredths + 25 hundredths = 85 hundredths.

  22. What is 5 factorial?

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    Answer

    120

    5 × 4 × 3 × 2 × 1 = 120.

  23. How many ways can three distinct books be arranged?

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    Answer

    6

    3 × 2 × 1 = 6.

  24. A bag contains 3 red and 2 blue counters. What fraction are blue?

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    Answer

    Two fifths

    2 of the 5 counters are blue.

  25. What is the least common multiple of 6 and 8?

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    Answer

    24

    6 × 4 and 8 × 3 both equal 24.

  26. What is the greatest common divisor of 18 and 24?

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    Answer

    6

    The shared positive divisors are 1, 2, 3 and 6.

  27. How many edges does a cube have?

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    Answer

    12

    Four top edges, four bottom edges and four joining edges.

  28. What is the volume of a cube with side 3 cm?

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    Answer

    27 cubic centimetres

    3 × 3 × 3 = 27.

  29. What is −4 + 9?

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    Answer

    5

    Start at −4 and move nine places right.

  30. What is −3 × −6?

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    Answer

    18

    The product of two negatives is positive.

  31. What is 7 squared minus 4 squared?

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    Answer

    33

    49 − 16 = 33.

  32. What is 2/3 + 1/6?

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    Answer

    5/6

    4/6 + 1/6 = 5/6.

  33. What is 3/4 divided by 1/2?

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    Answer

    3/2, or 1.5

    3/4 × 2 = 6/4.

  34. What is the sum of the first five positive integers?

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    Answer

    15

    1 + 2 + 3 + 4 + 5 = 15.

  35. How many two-digit numbers end in 0?

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    Answer

    9

    10 through 90, in steps of 10.

  36. A 120 km trip takes 3 hours. What is the average speed?

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    Answer

    40 km/h

    120 ÷ 3 = 40.

  37. A rectangle has area 36 and width 4. What is its length?

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    Answer

    9

    36 ÷ 4 = 9.

  38. What is 3 cubed?

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    Answer

    27

    3 × 3 × 3 = 27.

  39. What is the sum of 0.125 and 0.875?

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    Answer

    1

    125 thousandths + 875 thousandths = 1000 thousandths.

  40. Round 7.46 to one decimal place.

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    Answer

    7.5

    The hundredths digit is 6, so the tenths digit rounds up.

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