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50 Mathematics Quiz Questions & Answers

Arithmetic, algebra, geometry, and logic problems to sharpen your mental maths.

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Below are 50 mathematics quiz questions with the correct answer and a short explanation for each. Use them to revise, host a quiz night, or prepare for competitions โ€” then challenge yourself with the timed, interactive version on QuizOxa.

Mathematics Quiz Questions and Answers

  1. Q1. 15 ร— 15 = ?

    โœ… Answer: 225

    ๐Ÿ’ก 15 ร— 15 = 225. Think: (10+5)ยฒ = 100+100+25 = 225.

  2. Q2. โˆš144 = ?

    โœ… Answer: 12

    ๐Ÿ’ก โˆš144 = 12, because 12 ร— 12 = 144.

  3. Q3. 25% of 200 = ?

    โœ… Answer: 50

    ๐Ÿ’ก 25% of 200 = 200 ร— 0.25 = 50.

  4. Q4. 2ยนโฐ = ?

    โœ… Answer: 1024

    ๐Ÿ’ก 2ยนโฐ = 1,024. Powers of 2 double each time.

  5. Q5. If x + 5 = 12, what is x?

    โœ… Answer: 7

    ๐Ÿ’ก x = 12 โˆ’ 5 = 7.

  6. Q6. Area of rectangle 8m ร— 6m = ?

    โœ… Answer: 48mยฒ

    ๐Ÿ’ก Area = length ร— width = 8 ร— 6 = 48 mยฒ.

  7. Q7. What is ฯ€ (pi) approximately?

    โœ… Answer: 3.14

    ๐Ÿ’ก ฯ€ โ‰ˆ 3.14159 , the ratio of a circle's circumference to its diameter.

  8. Q8. 1000 รท 8 = ?

    โœ… Answer: 125

    ๐Ÿ’ก 1000 รท 8 = 125.

  9. Q9. Next prime number after 13?

    โœ… Answer: 17

    ๐Ÿ’ก 17 is prime (only divisible by 1 and 17).

  10. Q10. A triangle has angles 60ยฐ and 80ยฐ. What is the third angle?

    โœ… Answer: 40ยฐ

    ๐Ÿ’ก Angles in a triangle = 180ยฐ. So 180 โˆ’ 60 โˆ’ 80 = 40ยฐ.

  11. Q11. 12ยฒ = ?

    โœ… Answer: 144

    ๐Ÿ’ก 12ยฒ = 12 ร— 12 = 144.

  12. Q12. 50% of 90 = ?

    โœ… Answer: 45

    ๐Ÿ’ก 50% of 90 = 90 รท 2 = 45.

  13. Q13. Perimeter of a square with side 7cm?

    โœ… Answer: 28cm

    ๐Ÿ’ก Perimeter of square = 4 ร— side = 4 ร— 7 = 28 cm.

  14. Q14. 99 ร— 11 = ?

    โœ… Answer: 1,089

    ๐Ÿ’ก 99 ร— 11 = (100 โˆ’ 1) ร— 11 = 1,100 โˆ’ 11 = 1,089.

  15. Q15. What is 3/4 as a decimal?

    โœ… Answer: 0.75

    ๐Ÿ’ก 3/4 = 3 รท 4 = 0.75.

  16. Q16. Area of circle with radius 7cm (ฯ€=22/7)?

    โœ… Answer: 154cmยฒ

    ๐Ÿ’ก Area = ฯ€rยฒ = (22/7) ร— 49 = 154 cmยฒ.

  17. Q17. What is LCM of 4 and 6?

    โœ… Answer: 12

    ๐Ÿ’ก LCM of 4 and 6 = 12.

  18. Q18. Shirt costs $45 with 20% discount. Final price?

    โœ… Answer: $36

    ๐Ÿ’ก 20% of $45 = $9 discount. $45 โˆ’ $9 = $36.

  19. Q19. What is 2/5 + 1/5?

    โœ… Answer: 3/5

    ๐Ÿ’ก 2/5 + 1/5 = 3/5.

  20. Q20. What is 5! (5 factorial)?

    โœ… Answer: 120

    ๐Ÿ’ก 5! = 5 ร— 4 ร— 3 ร— 2 ร— 1 = 120.

  21. Q21. What is 40% of 150?

    โœ… Answer: 60

    ๐Ÿ’ก 40% of 150 = 150 ร— 0.4 = 60.

  22. Q22. Volume of cube with side 4cm?

    โœ… Answer: 64cmยณ

    ๐Ÿ’ก Volume of cube = sideยณ = 4ยณ = 64 cmยณ.

  23. Q23. Median of: 3, 7, 1, 9, 5?

    โœ… Answer: 5

    ๐Ÿ’ก Arrange in order: 1, 3, 5, 7, 9. Middle value = 5.

  24. Q24. How many seconds in one hour?

    โœ… Answer: 3,600

    ๐Ÿ’ก 1 hour = 60 minutes ร— 60 seconds = 3,600 seconds.

  25. Q25. What is 0.6 as a fraction?

    โœ… Answer: Both 3/5 and 6/10

    ๐Ÿ’ก 0.6 = 6/10 = 3/5 (simplified). Both are correct.

  26. Q26. 3 dozen eggs = how many eggs?

    โœ… Answer: 36

    ๐Ÿ’ก 1 dozen = 12 eggs. 3 dozen = 3 ร— 12 = 36 eggs.

  27. Q27. Sum of angles in a quadrilateral?

    โœ… Answer: 360ยฐ

    ๐Ÿ’ก The sum of all interior angles in any quadrilateral is always 360ยฐ.

  28. Q28. 3ยฒ + 4ยฒ = ?

    โœ… Answer: 25

    ๐Ÿ’ก 3ยฒ + 4ยฒ = 9 + 16 = 25.

  29. Q29. Simplify: 18/24

    โœ… Answer: 3/4

    ๐Ÿ’ก GCD of 18 and 24 is 6. 18/24 = 3/4.

  30. Q30. Car travels 120km in 2 hours. Speed?

    โœ… Answer: 60 km/h

    ๐Ÿ’ก Speed = Distance รท Time = 120 รท 2 = 60 km/h.

  31. Q31. โˆš225 = ?

    โœ… Answer: 15

    ๐Ÿ’ก โˆš225 = 15, because 15 ร— 15 = 225.

  32. Q32. 7 ร— 8 = ?

    โœ… Answer: 56

    ๐Ÿ’ก 7 ร— 8 = 56.

  33. Q33. What is 20% of 500?

    โœ… Answer: 100

    ๐Ÿ’ก 20% of 500 = 500 ร— 0.20 = 100.

  34. Q34. If 5x = 35, what is x?

    โœ… Answer: 7

    ๐Ÿ’ก x = 35 รท 5 = 7.

  35. Q35. HCF of 12 and 18?

    โœ… Answer: 6

    ๐Ÿ’ก HCF of 12 and 18 is 6.

  36. Q36. A triangle with all equal sides is called?

    โœ… Answer: Equilateral

    ๐Ÿ’ก An equilateral triangle has all three sides equal and all angles equal to 60ยฐ.

  37. Q37. 1000 ร— 0.001 = ?

    โœ… Answer: 1

    ๐Ÿ’ก 1000 ร— 0.001 = 1.

  38. Q38. How many cm in 1 metre?

    โœ… Answer: 100

    ๐Ÿ’ก 1 metre = 100 centimetres.

  39. Q39. 2 + 3 ร— 4 = ?

    โœ… Answer: 14

    ๐Ÿ’ก Order of operations: multiply first. 3 ร— 4 = 12, then 2 + 12 = 14.

  40. Q40. 7/8 as a percentage?

    โœ… Answer: 87.5%

    ๐Ÿ’ก 7/8 = 7 รท 8 = 0.875 = 87.5%.

  41. Q41. How many sides does a pentagon have?

    โœ… Answer: 5

    ๐Ÿ’ก A pentagon has 5 sides. 'Penta' means 5 in Greek.

  42. Q42. 15% of 80 = ?

    โœ… Answer: 12

    ๐Ÿ’ก 15% of 80 = 80 ร— 0.15 = 12.

  43. Q43. Mean of: 10, 20, 30, 40, 50?

    โœ… Answer: 30

    ๐Ÿ’ก Mean = Sum รท Count = 150 รท 5 = 30.

  44. Q44. Circumference of circle with radius 7cm (ฯ€=22/7)?

    โœ… Answer: 44cm

    ๐Ÿ’ก Circumference = 2ฯ€r = 2 ร— (22/7) ร— 7 = 44 cm.

  45. Q45. What is the reciprocal of 4?

    โœ… Answer: 0.25

    ๐Ÿ’ก The reciprocal of 4 is 1/4 = 0.25.

  46. Q46. 2ยณ ร— 2ยฒ = ?

    โœ… Answer: 2โต

    ๐Ÿ’ก When multiplying same base: 2ยณ ร— 2ยฒ = 2^(3+2) = 2โต = 32.

  47. Q47. Bag has 3 red, 2 blue, 5 green balls. P(red) = ?

    โœ… Answer: 3/10

    ๐Ÿ’ก P(red) = 3 รท 10 = 3/10.

  48. Q48. 144 รท 12 = ?

    โœ… Answer: 12

    ๐Ÿ’ก 144 รท 12 = 12.

  49. Q49. Convert 0.125 to a fraction.

    โœ… Answer: 1/8

    ๐Ÿ’ก 0.125 = 125/1000 = 1/8.

  50. Q50. Next number: 2, 4, 8, 16, ?

    โœ… Answer: 32

    ๐Ÿ’ก This is a geometric sequence (ร—2 each time). 16 ร— 2 = 32.

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