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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 733 · 40 questions
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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.A teacher has 30 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 50 (b) 10 (c) 30 (d) 5
  2. 2.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%
  3. 3.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 136 sq cm (d) 119 sq cm
  4. 4.What is the smallest number you must add to 295 to make it divisible by 7? (a) 1 (b) 4 (c) 5 (d) 6
  5. 5.If 3x + 10 = 16, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  6. 6.₹416 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹208 (b) ₹32 (c) ₹128 (d) ₹288
  7. 7.If 30 November is a Monday, what day of the week is 6 December? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
  8. 8.A bag marked ₹880 is sold at a 30% discount. What is its selling price? (a) ₹616 (b) ₹264 (c) ₹1144 (d) ₹850
  9. 9.What is 15% of 460? (a) 690 (b) 69 (c) 138 (d) 391
  10. 10.What is the simple interest on ₹6500 at 6% per year for 3 years? (a) ₹1560 (b) ₹7670 (c) ₹1170 (d) ₹390
  11. 11.What is the value of the digit 1 in 23.914? (a) 0.001 (b) 0.01 (c) 1 (d) 0.1
  12. 12.The simple interest on ₹6500 for 2 years is ₹520. What is the rate per year? (a) 5% (b) 3% (c) 4% (d) 8%
  13. 13.What is 25% of 620? (a) 155 (b) 1550 (c) 465 (d) 310
  14. 14.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 6 (b) 217 (c) 120 (d) 216
  15. 15.Every pair follows the same rule: 2 : 5, 5 : 17, 8 : 29. What is 4 : ? (a) 12 (b) 13 (c) 7 (d) 14
  16. 16.Two ribbons are 15 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 90 cm (b) 15 cm (c) 3 cm (d) 1 cm
  17. 17.Which is the smallest: 0.21, 0.063, 0.113, 0.2? (a) 0.21 (b) 0.063 (c) 0.113 (d) 0.2
  18. 18.Which is the smallest: 0.091, 0.5, 0.457, 0.55? (a) 0.091 (b) 0.5 (c) 0.457 (d) 0.55
  19. 19.Every pair follows the same rule: 6 : 27, 7 : 32, 9 : 42. What is 8 : ? (a) 38 (b) 29 (c) 36 (d) 37
  20. 20.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 1 : ? (a) 9 (b) 25 (c) 2 (d) 1
  21. 21.What is the average of all the whole numbers from 60 to 80? (a) 70 (b) 71 (c) 20 (d) 10
  22. 22.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  23. 23.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 26 (c) 6 (d) 27
  24. 24.The simple interest on ₹5000 for 4 years is ₹800. What is the rate per year? (a) 16% (b) 4% (c) 5% (d) 3%
  25. 25.3.55 + 7.9 = ? (a) 11.45 (b) 11.55 (c) 4.34 (d) 11.35
  26. 26.If 8x + 21 = 77, what is x? (a) 6 (b) 7 (c) 8 (d) 56
  27. 27.1.74 + 4.4 = ? (a) 6.24 (b) 6.04 (c) 6.14 (d) 2.18
  28. 28.A shopkeeper buys a toy for ₹960 and sells it for ₹720. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  29. 29.A bag marked ₹240 is sold at a 15% discount. What is its selling price? (a) ₹276 (b) ₹36 (c) ₹225 (d) ₹204
  30. 30.₹1500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹1590 (b) ₹60 (c) ₹1560 (d) ₹1530
  31. 31.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 20 (b) 21 (c) 40 (d) 14
  32. 32.If 8x − 9 = 15, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  33. 33.₹5000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹5250 (b) ₹6250 (c) ₹6000 (d) ₹1000
  34. 34.Every pair follows the same rule: 2 : 7, 5 : 28, 8 : 67. What is 6 : ? (a) 41 (b) 39 (c) 11 (d) 40
  35. 35.₹2000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹2240 (b) ₹3440 (c) ₹1200 (d) ₹3200
  36. 36.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 228 sq cm (d) 247 sq cm
  37. 37.What is the smallest number you must add to 125 to make it divisible by 8? (a) 5 (b) 4 (c) 3 (d) 2
  38. 38.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 20 (c) 40 (d) 24
  39. 39.What is the average of all the whole numbers from 6 to 26? (a) 20 (b) 10 (c) 16 (d) 17
  40. 40.What is the average of 15, 39, 37, 29 and 10? (a) 28 (b) 26 (c) 27 (d) 25

Answer key

  1. 10
  2. 25%
  3. 119 sq cm
  4. 6
  5. 2
  6. ₹288
  7. Sunday
  8. ₹616
  9. 69
  10. ₹1170
  11. 0.01
  12. 4%
  13. 155
  14. 216
  15. 13
  16. 3 cm
  17. 0.063
  18. 0.091
  19. 37
  20. 1
  21. 70
  22. 20 cm
  23. 26
  24. 4%
  25. 11.45
  26. 7
  27. 6.14
  28. 25%
  29. ₹204
  30. ₹1560
  31. 20
  32. 3
  33. ₹6000
  34. 39
  35. ₹3200
  36. 228 sq cm
  37. 3
  38. 40
  39. 16
  40. 26

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