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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 462 · 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.If 5 mangoes cost ₹15, how much do 4 mangoes cost? (a) ₹12 (b) ₹60 (c) ₹15 (d) ₹14
  2. 2.What is 5% of 1000? (a) 50 (b) 100 (c) 500 (d) 950
  3. 3.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 152 sq cm (c) 26 sq cm (d) 52 sq cm
  4. 4.What is the smallest number you must add to 199 to make it divisible by 8? (a) 7 (b) 1 (c) 2 (d) 3
  5. 5.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 30 sq cm (d) 20 sq cm
  6. 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 14 sq cm (d) 54 sq cm
  7. 7.What is 15% of 720? (a) 216 (b) 612 (c) 1080 (d) 108
  8. 8.If 11 September is a Monday, what day of the week is 15 October? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  9. 9.What is 2/3 of 9? (a) 6 (b) 3 (c) 7 (d) 9
  10. 10.What is the average of 51, 74, 64, 81 and 60? (a) 65 (b) 66 (c) 68 (d) 67
  11. 11.If 8x + 12 = 2x + 24, what is x? (a) 6 (b) 4 (c) 3 (d) 2
  12. 12.₹135 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹135 (b) ₹91 (c) ₹90 (d) ₹45
  13. 13.If 5x + 3 = 3x + 19, what is x? (a) 11 (b) 2 (c) 8 (d) 9
  14. 14.Today is Friday. What day of the week will it be after 63 days? (a) Friday (b) Sunday (c) Saturday (d) Thursday
  15. 15.₹156 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹48 (b) ₹108 (c) ₹78 (d) ₹12
  16. 16.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 15% (b) 74% (c) 5% (d) 10%
  17. 17.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 24 min (c) 3 min (d) 135 min
  18. 18.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 176 sq cm (d) 52 sq cm
  19. 19.Every pair follows the same rule: 3 : 15, 5 : 25, 7 : 35. What is 8 : ? (a) 41 (b) 20 (c) 40 (d) 39
  20. 20.Every pair follows the same rule: 5 : 28, 7 : 52, 9 : 84. What is 8 : ? (a) 66 (b) 31 (c) 68 (d) 67
  21. 21.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 80 (b) 28 (c) 160 (d) 40
  22. 22.2/4 + 2/5 = ? (a) 17/20 (b) 9/10 (c) 4/9 (d) 19/20
  23. 23.What is the remainder when 289 is divided by 10? (a) 7 (b) 8 (c) 1 (d) 9
  24. 24.Which fraction is greater: 2/7 or 1/8? (a) They are equal (b) 1/8 (c) 2/7
  25. 25.If x/6 + 11 = 13, what is x? (a) 67 (b) 12 (c) 144 (d) 2
  26. 26.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹36 (b) ₹60 (c) ₹12 (d) ₹48
  27. 27.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 76 sq cm (d) 95 sq cm
  28. 28.4.69 + 2.7 = ? (a) 7.49 (b) 7.39 (c) 4.96 (d) 7.29
  29. 29.In how many years will ₹9500 earn ₹1425 simple interest at 5% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  30. 30.What is the average of 40, 51, 62 and 47? (a) 49 (b) 52 (c) 51 (d) 50
  31. 31.A bag marked ₹960 is sold at a 50% discount. What is its selling price? (a) ₹1440 (b) ₹480 (c) ₹910 (d) ₹481
  32. 32.What is 40% of 140? (a) 84 (b) 56 (c) 112 (d) 560
  33. 33.If 8 mangoes cost ₹48, how much do 4 mangoes cost? (a) ₹44 (b) ₹30 (c) ₹192 (d) ₹24
  34. 34.What is 10% of 80? (a) 80 (b) 72 (c) 8 (d) 16
  35. 35.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  36. 36.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
  37. 37.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 5 days
  38. 38.A bag marked ₹1740 is sold at a 50% discount. What is its selling price? (a) ₹870 (b) ₹1690 (c) ₹2610 (d) ₹871
  39. 39.If 3x − 23 = 7, what is x? (a) 9 (b) 11 (c) 10 (d) 30
  40. 40.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm

Answer key

  1. ₹12
  2. 50
  3. 133 sq cm
  4. 1
  5. 24 sq cm
  6. 45 sq cm
  7. 108
  8. Sunday
  9. 6
  10. 66
  11. 2
  12. ₹90
  13. 8
  14. Friday
  15. ₹108
  16. 10%
  17. 45 min
  18. 160 sq cm
  19. 40
  20. 67
  21. 40
  22. 9/10
  23. 9
  24. 2/7
  25. 12
  26. ₹60
  27. 76 sq cm
  28. 7.39
  29. 3 years
  30. 50
  31. ₹480
  32. 56
  33. ₹24
  34. 8
  35. 24 sq cm
  36. 25%
  37. 7 days
  38. ₹870
  39. 10
  40. 25 sq cm

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