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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 721 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 28, 36, 31, 50 and 40? (a) 37 (b) 38 (c) 39 (d) 36
  2. 2.Which is the smallest: 0.7, 0.016, 0.626, 0.71? (a) 0.7 (b) 0.016 (c) 0.626 (d) 0.71
  3. 3.₹3000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹450 (b) ₹3450 (c) ₹3150 (d) ₹3600
  4. 4.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 27 sq cm (d) 54 sq cm
  5. 5.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  6. 6.Which fraction is greater: 1/7 or 2/5? (a) 2/5 (b) They are equal (c) 1/7
  7. 7.If 9x − 20 = 43, what is x? (a) 7 (b) 63 (c) 8 (d) 6
  8. 8.Which fraction is greater: 8/9 or 5/12? (a) 5/12 (b) They are equal (c) 8/9
  9. 9.What is the remainder when 267 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
  10. 10.What is the simple interest on ₹9500 at 6% per year for 5 years? (a) ₹2850 (b) ₹3420 (c) ₹12350 (d) ₹570
  11. 11.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 37 (c) 43 (d) 10
  12. 12.What is the value of the digit 1 in 13.245? (a) 1 (b) 10 (c) 0.01 (d) 0.1
  13. 13.What is the average of all the whole numbers from 20 to 50? (a) 35 (b) 15 (c) 36 (d) 30
  14. 14.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 35 (b) 52 (c) 22 (d) 39
  15. 15.What is 5/6 of 42? (a) 7 (b) 36 (c) 35 (d) 42
  16. 16.A shopkeeper buys a toy for ₹540 and sells it for ₹324. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
  17. 17.What is the smallest number you must add to 487 to make it divisible by 12? (a) 4 (b) 6 (c) 7 (d) 5
  18. 18.What is the average of 62, 77, 58, 82, 66 and 69? (a) 70 (b) 71 (c) 69 (d) 68
  19. 19.In how many years will ₹10000 earn ₹2200 simple interest at 11% per year? (a) 2 years (b) 1 year (c) 4 years (d) 3 years
  20. 20.3 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 12 days (c) 7 days (d) 8 days
  21. 21.Today is Tuesday. What day of the week will it be after 49 days? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  22. 22.If 3x − 14 = 10, what is x? (a) 7 (b) 8 (c) 24 (d) 9
  23. 23.A bag marked ₹1020 is sold at a 10% discount. What is its selling price? (a) ₹1122 (b) ₹918 (c) ₹102 (d) ₹1010
  24. 24.What is 3/7 of 14? (a) 6 (b) 2 (c) 8 (d) 7
  25. 25.A shopkeeper buys a toy for ₹900 and sells it for ₹1170. What is his profit percent? (a) 30% (b) 25% (c) 31% (d) 35%
  26. 26.If 30 June is a Sunday, what day of the week is 20 July? (a) Friday (b) Sunday (c) Saturday (d) Monday
  27. 27.If x/6 + 7 = 9, what is x? (a) 47 (b) 96 (c) 2 (d) 12
  28. 28.Which is the greatest: 0.8, 0.85, 0.763, 0.014? (a) 0.8 (b) 0.85 (c) 0.763 (d) 0.014
  29. 29.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  30. 30.If 3x + 10 = 19, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  31. 31.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 10 (c) 24 (d) 30
  32. 32.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 1 : ? (a) 1 (b) 4 (c) 2 (d) 7
  33. 33.Which is the smallest: 0.34, 0.3, 0.051, 0.221? (a) 0.34 (b) 0.3 (c) 0.051 (d) 0.221
  34. 34.7.21 + 6.2 = ? (a) 13.31 (b) 13.51 (c) 7.83 (d) 13.41
  35. 35.What is the remainder when 181 is divided by 10? (a) 2 (b) 9 (c) 1 (d) 0
  36. 36.What is the average of 31, 16, 30, 25, 40 and 8? (a) 25 (b) 30 (c) 24 (d) 26
  37. 37.4/6 + 2/5 = ? (a) 11/10 (b) 6/11 (c) 16/15 (d) 31/30
  38. 38.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 57% (b) 10% (c) 20% (d) 15%
  39. 39.Every pair follows the same rule: 4 : 25, 8 : 41, 9 : 45. What is 2 : ? (a) 16 (b) 17 (c) 18 (d) 23
  40. 40.What is the remainder when 124 is divided by 3? (a) 0 (b) 1 (c) 2

Answer key

  1. 37
  2. 0.016
  3. ₹3450
  4. 176 sq cm
  5. 24 sq cm
  6. 2/5
  7. 7
  8. 8/9
  9. 3
  10. ₹2850
  11. 43
  12. 10
  13. 35
  14. 52
  15. 35
  16. 40%
  17. 5
  18. 69
  19. 2 years
  20. 6 days
  21. Tuesday
  22. 8
  23. ₹918
  24. 6
  25. 30%
  26. Saturday
  27. 12
  28. 0.85
  29. 14 sq cm
  30. 3
  31. 30
  32. 1
  33. 0.051
  34. 13.41
  35. 1
  36. 25
  37. 16/15
  38. 15%
  39. 17
  40. 1

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