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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 439 · 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.Every pair follows the same rule: 2 : 6, 4 : 18, 9 : 83. What is 7 : ? (a) 21 (b) 57 (c) 51 (d) 11
  2. 2.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 14 cm (d) 28 cm
  3. 3.The simple interest on ₹6500 for 4 years is ₹3120. What is the rate per year? (a) 13% (b) 11% (c) 12% (d) 48%
  4. 4.A bag marked ₹260 is sold at a 30% discount. What is its selling price? (a) ₹182 (b) ₹338 (c) ₹230 (d) ₹78
  5. 5.What is the simple interest on ₹5500 at 5% per year for 4 years? (a) ₹1100 (b) ₹275 (c) ₹6600 (d) ₹1375
  6. 6.What is the smallest number you must add to 258 to make it divisible by 9? (a) 2 (b) 4 (c) 6 (d) 3
  7. 7.If 17 August is a Sunday, what day of the week is 11 September? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  8. 8.If 7 pens cost ₹112, how much do 4 pens cost? (a) ₹448 (b) ₹64 (c) ₹80 (d) ₹109
  9. 9.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 156 sq cm (c) 25 sq cm (d) 50 sq cm
  10. 10.If 8x − 59 = 53, what is x? (a) 13 (b) 112 (c) 14 (d) 15
  11. 11.If 5x − 24 = 31, what is x? (a) 10 (b) 12 (c) 55 (d) 11
  12. 12.If 9x + 3 = 21, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  13. 13.A shopkeeper buys a toy for ₹720 and sells it for ₹684. What is his loss percent? (a) 5% (b) 10% (c) 36% (d) 6%
  14. 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 10 cm (d) 21 cm
  15. 15.Today is Monday. What day of the week will it be after 93 days? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  16. 16.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 30 cm (c) 4 cm (d) 6 cm
  17. 17.₹35 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹20 (b) ₹15 (c) ₹25 (d) ₹5
  18. 18.What is the average of 44, 21, 41, 26, 42 and 30? (a) 35 (b) 36 (c) 34 (d) 33
  19. 19.Every pair follows the same rule: 2 : 10, 3 : 11, 6 : 14. What is 5 : ? (a) 12 (b) 25 (c) 14 (d) 13
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
  21. 21.3.43 + 7.6 = ? (a) 10.93 (b) 11.13 (c) 11.03 (d) 4.19
  22. 22.₹440 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹308 (b) ₹220 (c) ₹132 (d) ₹44
  23. 23.If 8x + 17 = 49, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  24. 24.What is 10% of 540? (a) 486 (b) 540 (c) 108 (d) 54
  25. 25.1/2 + 1/3 = ? (a) 2/5 (b) 1 (c) 2/3 (d) 5/6
  26. 26.In how many years will ₹1500 earn ₹375 simple interest at 5% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  27. 27.A bag marked ₹500 is sold at a 10% discount. What is its selling price? (a) ₹490 (b) ₹50 (c) ₹550 (d) ₹450
  28. 28.The simple interest on ₹6000 for 2 years is ₹1440. What is the rate per year? (a) 11% (b) 24% (c) 13% (d) 12%
  29. 29.Every pair follows the same rule: 2 : 10, 3 : 11, 9 : 17. What is 8 : ? (a) 15 (b) 40 (c) 17 (d) 16
  30. 30.Which of these numbers is divisible by 6? (a) 1693 (b) 1692 (c) 1702 (d) 1688
  31. 31.Every pair follows the same rule: 3 : 22, 6 : 25, 9 : 28. What is 5 : ? (a) 26 (b) 23 (c) 24 (d) 25
  32. 32.What is 2/7 of 84? (a) 60 (b) 12 (c) 36 (d) 24
  33. 33.If 9 pens cost ₹126, how much do 5 pens cost? (a) ₹84 (b) ₹630 (c) ₹70 (d) ₹122
  34. 34.5.31 + 3.1 = ? (a) 5.62 (b) 8.41 (c) 8.51 (d) 8.31
  35. 35.A teacher has 28 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 28 (c) 4 (d) 2
  36. 36.A teacher has 42 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 42 (b) 3 (c) 6 (d) 336
  37. 37.Every pair follows the same rule: 3 : 8, 5 : 10, 7 : 12. What is 8 : ? (a) 14 (b) 12 (c) 13 (d) 15
  38. 38.What is 50% of 120? (a) 61 (b) 60 (c) 600 (d) 120
  39. 39.What is 3/4 of 28? (a) 28 (b) 21 (c) 22 (d) 7
  40. 40.If 6x + 1 = 49, what is x? (a) 9 (b) 8 (c) 7 (d) 48

Answer key

  1. 51
  2. 28 cm
  3. 12%
  4. ₹182
  5. ₹1100
  6. 3
  7. Thursday
  8. ₹64
  9. 156 sq cm
  10. 14
  11. 11
  12. 2
  13. 5%
  14. 20 cm
  15. Wednesday
  16. 3 cm
  17. ₹20
  18. 34
  19. 13
  20. 196 sq cm
  21. 11.03
  22. ₹308
  23. 4
  24. 54
  25. 5/6
  26. 5 years
  27. ₹450
  28. 12%
  29. 16
  30. 1692
  31. 24
  32. 24
  33. ₹70
  34. 8.41
  35. 4
  36. 6
  37. 13
  38. 60
  39. 21
  40. 8

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