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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 538 · 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.Which fraction is greater: 2/3 or 1/6? (a) They are equal (b) 2/3 (c) 1/6
  2. 2.Which fraction is greater: 11/12 or 1/6? (a) They are equal (b) 1/6 (c) 11/12
  3. 3.In how many years will ₹2500 earn ₹1375 simple interest at 11% per year? (a) 4 years (b) 5 years (c) 10 years (d) 6 years
  4. 4.Which is the greatest: 0.5, 0.097, 0.53, 0.442? (a) 0.5 (b) 0.097 (c) 0.53 (d) 0.442
  5. 5.Which of these numbers is divisible by 4? (a) 3065 (b) 3073 (c) 3071 (d) 3068
  6. 6.If 3 pens cost ₹21, how much do 8 pens cost? (a) ₹26 (b) ₹168 (c) ₹56 (d) ₹63
  7. 7.3/9 + 1/2 = ? (a) 8/9 (b) 7/9 (c) 4/11 (d) 5/6
  8. 8.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 90 cm (c) 8 cm (d) 7 cm
  9. 9.What is 2/3 of 21? (a) 14 (b) 7 (c) 15 (d) 21
  10. 10.What is the simple interest on ₹2500 at 3% per year for 3 years? (a) ₹300 (b) ₹225 (c) ₹75 (d) ₹2725
  11. 11.If 2 mangoes cost ₹26, how much do 12 mangoes cost? (a) ₹36 (b) ₹156 (c) ₹312 (d) ₹169
  12. 12.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 51 (c) 20 (d) 50
  13. 13.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 54 min (c) 18 min (d) 3 min
  14. 14.If x/2 + 3 = 7, what is x? (a) 20 (b) 11 (c) 4 (d) 8
  15. 15.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 4 days (d) 9 days
  16. 16.₹250 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹175 (b) ₹75 (c) ₹25 (d) ₹125
  17. 17.In how many years will ₹10000 earn ₹3600 simple interest at 12% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
  18. 18.What is the value of the digit 1 in 91.285? (a) 1 (b) 0.01 (c) 10 (d) 0.1
  19. 19.What is the value of the digit 4 in 39.824? (a) 4 (b) 0.4 (c) 0.004 (d) 0.04
  20. 20.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 48 cm
  21. 21.What is the smallest number you must add to 260 to make it divisible by 12? (a) 3 (b) 4 (c) 5 (d) 8
  22. 22.In how many years will ₹2000 earn ₹160 simple interest at 2% per year? (a) 8 years (b) 4 years (c) 5 years (d) 3 years
  23. 23.If 9x − 35 = 10, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  25. 25.₹333 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹37 (b) ₹185 (c) ₹148 (d) ₹222
  26. 26.What is the average of all the whole numbers from 53 to 89? (a) 36 (b) 71 (c) 18 (d) 72
  27. 27.What is 8/9 of 63? (a) 63 (b) 7 (c) 56 (d) 57
  28. 28.Every pair follows the same rule: 2 : 22, 3 : 23, 4 : 24. What is 7 : ? (a) 26 (b) 27 (c) 28 (d) 77
  29. 29.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 54 cm (d) 14 cm
  30. 30.Every pair follows the same rule: 2 : 9, 5 : 30, 8 : 69. What is 3 : ? (a) 15 (b) 10 (c) 4 (d) 14
  31. 31.If 21 April is a Monday, what day of the week is 10 May? (a) Monday (b) Friday (c) Sunday (d) Saturday
  32. 32.The simple interest on ₹7000 for 4 years is ₹3080. What is the rate per year? (a) 12% (b) 44% (c) 11% (d) 10%
  33. 33.The simple interest on ₹3000 for 2 years is ₹600. What is the rate per year? (a) 11% (b) 10% (c) 9% (d) 20%
  34. 34.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 84 (c) 168 (d) 54
  35. 35.If x/2 + 9 = 15, what is x? (a) 12 (b) 48 (c) 6 (d) 21
  36. 36.A teacher has 20 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 20 (d) 15
  37. 37.Which of these numbers is divisible by 3? (a) 656 (b) 650 (c) 652 (d) 651
  38. 38.4.92 + 8.1 = ? (a) 13.12 (b) 13.02 (c) 12.92 (d) 5.73
  39. 39.What is the value of the digit 7 in 39.157? (a) 0.7 (b) 7 (c) 0.007 (d) 0.07
  40. 40.What is the simple interest on ₹8500 at 3% per year for 2 years? (a) ₹255 (b) ₹9010 (c) ₹510 (d) ₹765

Answer key

  1. 2/3
  2. 11/12
  3. 5 years
  4. 0.53
  5. 3068
  6. ₹56
  7. 5/6
  8. 7 cm
  9. 14
  10. ₹225
  11. ₹156
  12. 50
  13. 18 min
  14. 8
  15. 9 days
  16. ₹175
  17. 3 years
  18. 1
  19. 0.004
  20. 7 cm
  21. 4
  22. 4 years
  23. 5
  24. 36 sq cm
  25. ₹185
  26. 71
  27. 56
  28. 27
  29. 7 cm
  30. 14
  31. Saturday
  32. 11%
  33. 10%
  34. 84
  35. 12
  36. 5
  37. 651
  38. 13.02
  39. 0.007
  40. ₹510

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