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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 763 · 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.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  2. 2.Which fraction is greater: 5/6 or 4/11? (a) 4/11 (b) They are equal (c) 5/6
  3. 3.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 45 min (c) 70 min (d) 350 min
  4. 4.8.91 + 6.2 = ? (a) 15.01 (b) 15.11 (c) 15.21 (d) 9.53
  5. 5.Which of these numbers is divisible by 6? (a) 570 (b) 571 (c) 580 (d) 565
  6. 6.What is the value of the digit 8 in 89.437? (a) 0.08 (b) 8 (c) 80 (d) 0.8
  7. 7.Which of these numbers is divisible by 6? (a) 2624 (b) 2638 (c) 2628 (d) 2632
  8. 8.The simple interest on ₹8000 for 3 years is ₹1200. What is the rate per year? (a) 15% (b) 5% (c) 6% (d) 4%
  9. 9.A shopkeeper buys a toy for ₹880 and sells it for ₹616. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
  10. 10.If 8x − 22 = 10, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  11. 11.What is the units digit of 9^48? (a) 0 (b) 2 (c) 9 (d) 1
  12. 12.If 9x + 6 = 7x + 26, what is x? (a) 11 (b) 10 (c) 12 (d) 16
  13. 13.A bag marked ₹1520 is sold at a 20% discount. What is its selling price? (a) ₹1500 (b) ₹1216 (c) ₹1824 (d) ₹304
  14. 14.In how many years will ₹6000 earn ₹1620 simple interest at 9% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  15. 15.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 27 days (c) 9 days (d) 26 days
  16. 16.Which is the smallest: 0.476, 0.094, 0.56, 0.5? (a) 0.476 (b) 0.094 (c) 0.56 (d) 0.5
  17. 17.If 27 August is a Wednesday, what day of the week is 7 September? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  18. 18.If 10 October is a Tuesday, what day of the week is 1 November? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  19. 19.Which of these numbers is divisible by 4? (a) 958 (b) 954 (c) 956 (d) 963
  20. 20.The simple interest on ₹2000 for 4 years is ₹640. What is the rate per year? (a) 7% (b) 32% (c) 8% (d) 9%
  21. 21.2/5 + 2/6 = ? (a) 4/11 (b) 11/15 (c) 7/10 (d) 23/30
  22. 22.Every pair follows the same rule: 3 : 13, 4 : 17, 7 : 29. What is 2 : ? (a) 10 (b) 8 (c) 9 (d) 12
  23. 23.Which fraction is greater: 3/4 or 7/8? (a) 3/4 (b) They are equal (c) 7/8
  24. 24.What is the average of all the whole numbers from 49 to 89? (a) 20 (b) 40 (c) 69 (d) 70
  25. 25.What is 5/9 of 63? (a) 42 (b) 35 (c) 28 (d) 7
  26. 26.What is the units digit of 7^23? (a) 7 (b) 9 (c) 3 (d) 1
  27. 27.4.39 + 6.8 = ? (a) 11.29 (b) 11.09 (c) 11.19 (d) 5.07
  28. 28.A shopkeeper buys a toy for ₹680 and sells it for ₹578. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  29. 29.Today is Friday. What day of the week will it be after 67 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  30. 30.If 3 notebooks cost ₹27, how much do 8 notebooks cost? (a) ₹32 (b) ₹81 (c) ₹216 (d) ₹72
  31. 31.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 35 (b) 38 (c) 66 (d) 45
  32. 32.Every pair follows the same rule: 7 : 46, 8 : 61, 9 : 78. What is 4 : ? (a) 43 (b) 13 (c) 12 (d) 14
  33. 33.Every pair follows the same rule: 3 : 15, 8 : 40, 9 : 45. What is 7 : ? (a) 36 (b) 19 (c) 35 (d) 34
  34. 34.3/8 + 4/8 = ? (a) 7/16 (b) 1 (c) 3/4 (d) 7/8
  35. 35.The simple interest on ₹9500 for 4 years is ₹1140. What is the rate per year? (a) 4% (b) 12% (c) 3% (d) 2%
  36. 36.1/2 + 1/2 = ? (a) 1/2 (b) 2 (c) 3/2 (d) 1
  37. 37.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 27 (b) 36 (c) 10 (d) 19
  38. 38.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 12 (b) 216 (c) 24 (d) 186
  39. 39.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 40 (c) 65 (d) 30
  40. 40.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm

Answer key

  1. 49 sq cm
  2. 5/6
  3. 70 min
  4. 15.11
  5. 570
  6. 80
  7. 2628
  8. 5%
  9. 30%
  10. 4
  11. 1
  12. 10
  13. ₹1216
  14. 3 years
  15. 26 days
  16. 0.094
  17. Sunday
  18. Wednesday
  19. 956
  20. 8%
  21. 11/15
  22. 9
  23. 7/8
  24. 69
  25. 35
  26. 3
  27. 11.19
  28. 15%
  29. Tuesday
  30. ₹72
  31. 66
  32. 13
  33. 35
  34. 7/8
  35. 3%
  36. 1
  37. 27
  38. 216
  39. 65
  40. 30 cm

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