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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 751 · 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.What is 10% of 940? (a) 188 (b) 846 (c) 94 (d) 940
  2. 2.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 7 days (d) 6 days
  3. 3.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 42 (b) 48 (c) 98 (d) 43
  4. 4.What is 1/2 of 16? (a) 7 (b) 9 (c) 8 (d) 16
  5. 5.If 9x + 4 = x + 60, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  6. 6.What is 8/9 of 72? (a) 72 (b) 65 (c) 64 (d) 8
  7. 7.What is the value of the digit 6 in 64.857? (a) 0.6 (b) 6 (c) 60 (d) 0.06
  8. 8.Which of these numbers is divisible by 8? (a) 1394 (b) 1387 (c) 1406 (d) 1392
  9. 9.If 4 July is a Wednesday, what day of the week is 16 July? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  10. 10.If 4 October is a Friday, what day of the week is 20 October? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  11. 11.Which is the greatest: 0.6, 0.096, 0.62, 0.565? (a) 0.6 (b) 0.096 (c) 0.62 (d) 0.565
  12. 12.If 7x + 2 = 107, what is x? (a) 16 (b) 15 (c) 14 (d) 105
  13. 13.If 9x − 98 = 10, what is x? (a) 108 (b) 11 (c) 12 (d) 13
  14. 14.Which is the smallest: 0.416, 0.51, 0.026, 0.5? (a) 0.416 (b) 0.51 (c) 0.026 (d) 0.5
  15. 15.Every pair follows the same rule: 2 : 14, 3 : 21, 7 : 49. What is 5 : ? (a) 35 (b) 34 (c) 36 (d) 17
  16. 16.5/6 + 2/4 = ? (a) 4/3 (b) 5/4 (c) 17/12 (d) 7/10
  17. 17.8.36 + 5.8 = ? (a) 14.16 (b) 14.06 (c) 8.94 (d) 14.26
  18. 18.If 6x + 7 = 43, what is x? (a) 6 (b) 5 (c) 7 (d) 36
  19. 19.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 132 sq cm (c) 46 sq cm (d) 23 sq cm
  20. 20.What is the simple interest on ₹7500 at 8% per year for 2 years? (a) ₹1200 (b) ₹8700 (c) ₹1800 (d) ₹600
  21. 21.What is 10% of 80? (a) 72 (b) 16 (c) 8 (d) 80
  22. 22.The simple interest on ₹7000 for 5 years is ₹2450. What is the rate per year? (a) 6% (b) 35% (c) 7% (d) 8%
  23. 23.₹330 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹180 (b) ₹30 (c) ₹165 (d) ₹150
  24. 24.What is the smallest number you must add to 426 to make it divisible by 7? (a) 2 (b) 6 (c) 3 (d) 1
  25. 25.1.43 + 5.5 = ? (a) 6.93 (b) 7.03 (c) 6.83 (d) 1.98
  26. 26.If 11 December is a Thursday, what day of the week is 23 December? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  27. 27.What is the average of all the whole numbers from 24 to 42? (a) 34 (b) 9 (c) 33 (d) 18
  28. 28.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 36 (c) 160 (d) 80
  29. 29.What is the simple interest on ₹1500 at 11% per year for 3 years? (a) ₹495 (b) ₹660 (c) ₹165 (d) ₹1995
  30. 30.If 9 pens cost ₹54, how much do 6 pens cost? (a) ₹42 (b) ₹36 (c) ₹51 (d) ₹324
  31. 31.If 6x + 7 = 49, what is x? (a) 6 (b) 42 (c) 7 (d) 8
  32. 32.5/6 + 1/6 = ? (a) 1/2 (b) 7/6 (c) 5/6 (d) 1
  33. 33.If 4 mangoes cost ₹36, how much do 5 mangoes cost? (a) ₹37 (b) ₹45 (c) ₹54 (d) ₹180
  34. 34.What is 3/8 of 64? (a) 32 (b) 24 (c) 40 (d) 8
  35. 35.What is 2/9 of 90? (a) 30 (b) 70 (c) 10 (d) 20
  36. 36.Which of these numbers is divisible by 4? (a) 3565 (b) 3560 (c) 3561 (d) 3557
  37. 37.What is the remainder when 91 is divided by 3? (a) 2 (b) 1 (c) 0
  38. 38.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 45 (b) 500 (c) 200 (d) 100
  39. 39.Every pair follows the same rule: 5 : 23, 6 : 27, 8 : 35. What is 4 : ? (a) 20 (b) 18 (c) 22 (d) 19
  40. 40.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 24 (b) 50 (c) 56 (d) 30

Answer key

  1. 94
  2. 8 days
  3. 42
  4. 8
  5. 7
  6. 64
  7. 60
  8. 1392
  9. Monday
  10. Sunday
  11. 0.62
  12. 15
  13. 12
  14. 0.026
  15. 35
  16. 4/3
  17. 14.16
  18. 6
  19. 132 sq cm
  20. ₹1200
  21. 8
  22. 7%
  23. ₹180
  24. 1
  25. 6.93
  26. Tuesday
  27. 33
  28. 80
  29. ₹495
  30. ₹36
  31. 7
  32. 1
  33. ₹45
  34. 24
  35. 20
  36. 3560
  37. 1
  38. 100
  39. 19
  40. 50

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