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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 865 · 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.If x/2 + 6 = 15, what is x? (a) 9 (b) 24 (c) 42 (d) 18
  2. 2.What is 1/2 of 16? (a) 7 (b) 9 (c) 8 (d) 16
  3. 3.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 11 (c) 35 (d) 28
  4. 4.Every pair follows the same rule: 2 : 6, 3 : 11, 9 : 83. What is 5 : ? (a) 27 (b) 15 (c) 35 (d) 9
  5. 5.Every pair follows the same rule: 4 : 18, 6 : 38, 8 : 66. What is 3 : ? (a) 11 (b) 17 (c) 12 (d) 10
  6. 6.₹9000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹11700 (b) ₹9540 (c) ₹11160 (d) ₹2160
  7. 7.Which fraction is greater: 1/3 or 7/10? (a) They are equal (b) 1/3 (c) 7/10
  8. 8.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 4 : ? (a) 65 (b) 112 (c) 64 (d) 4
  9. 9.Which of these numbers is divisible by 6? (a) 1699 (b) 1698 (c) 1705 (d) 1696
  10. 10.A teacher has 12 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 48 (c) 12 (d) 2
  11. 11.Today is Saturday. What day of the week will it be after 26 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  13. 13.What is 2/3 of 12? (a) 8 (b) 12 (c) 4 (d) 9
  14. 14.2.25 + 5.3 = ? (a) 2.78 (b) 7.55 (c) 7.45 (d) 7.65
  15. 15.What is the simple interest on ₹4000 at 7% per year for 4 years? (a) ₹1400 (b) ₹280 (c) ₹5120 (d) ₹1120
  16. 16.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 21%
  17. 17.If x/3 + 9 = 13, what is x? (a) 4 (b) 66 (c) 30 (d) 12
  18. 18.Which of these numbers is divisible by 8? (a) 392 (b) 386 (c) 393 (d) 403
  19. 19.What is the units digit of 4^13? (a) 3 (b) 5 (c) 4 (d) 6
  20. 20.What is the units digit of 8^33? (a) 2 (b) 6 (c) 8 (d) 4
  21. 21.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 720 (b) 120 (c) 240 (d) 54
  22. 22.Which fraction is greater: 3/4 or 1/8? (a) 1/8 (b) They are equal (c) 3/4
  23. 23.2/7 + 1/3 = ? (a) 3/10 (b) 4/7 (c) 13/21 (d) 2/3
  24. 24.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
  25. 25.If 22 November is a Thursday, what day of the week is 18 December? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  26. 26.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 117 cm (c) 35 cm (d) 22 cm
  27. 27.If 4 July is a Monday, what day of the week is 13 July? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  28. 28.If 1 March is a Friday, what day of the week is 11 March? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  29. 29.What is the simple interest on ₹6500 at 3% per year for 4 years? (a) ₹7280 (b) ₹195 (c) ₹975 (d) ₹780
  30. 30.Which is the smallest: 0.24, 0.2, 0.167, 0.024? (a) 0.24 (b) 0.2 (c) 0.167 (d) 0.024
  31. 31.Every pair follows the same rule: 2 : 16, 3 : 24, 9 : 72. What is 7 : ? (a) 21 (b) 57 (c) 55 (d) 56
  32. 32.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 31 cm (c) 40 cm (d) 99 cm
  33. 33.4.79 + 7.1 = ? (a) 11.79 (b) 5.5 (c) 11.99 (d) 11.89
  34. 34.What is the units digit of 9^55? (a) 7 (b) 1 (c) 8 (d) 9
  35. 35.Every pair follows the same rule: 6 : 17, 7 : 21, 8 : 25. What is 2 : ? (a) 2 (b) 1 (c) 13 (d) 3
  36. 36.Today is Tuesday. What day of the week will it be after 49 days? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  37. 37.A teacher has 28 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 28 (c) 7 (d) 1
  38. 38.Which is the greatest: 0.7, 0.623, 0.76, 0.063? (a) 0.7 (b) 0.623 (c) 0.76 (d) 0.063
  39. 39.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 4 cm (c) 30 cm (d) 8 cm
  40. 40.What is the simple interest on ₹7000 at 3% per year for 2 years? (a) ₹630 (b) ₹420 (c) ₹7420 (d) ₹210

Answer key

  1. 18
  2. 8
  3. 35
  4. 27
  5. 11
  6. ₹11160
  7. 7/10
  8. 64
  9. 1698
  10. 4
  11. Thursday
  12. 144 sq cm
  13. 8
  14. 7.55
  15. ₹1120
  16. 15%
  17. 12
  18. 392
  19. 4
  20. 8
  21. 120
  22. 3/4
  23. 13/21
  24. 99 sq cm
  25. Tuesday
  26. 44 cm
  27. Wednesday
  28. Monday
  29. ₹780
  30. 0.024
  31. 56
  32. 40 cm
  33. 11.89
  34. 9
  35. 1
  36. Tuesday
  37. 7
  38. 0.76
  39. 4 cm
  40. ₹420

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