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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 652 · 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 1/2 of 6? (a) 4 (b) 3 (c) 2 (d) 6
  2. 2.In how many years will ₹1500 earn ₹405 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 6 years (d) 2 years
  3. 3.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 350 (d) 70
  4. 4.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 80 sq cm (c) 100 sq cm (d) 48 sq cm
  5. 5.Two ribbons are 12 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 2 cm (c) 4 cm (d) 16 cm
  6. 6.What is the value of the digit 3 in 32.947? (a) 30 (b) 3 (c) 0.03 (d) 0.3
  7. 7.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
  8. 8.2.43 + 4.7 = ? (a) 2.9 (b) 7.23 (c) 7.13 (d) 7.03
  9. 9.What is the remainder when 499 is divided by 9? (a) 6 (b) 5 (c) 4 (d) 3
  10. 10.In how many years will ₹5500 earn ₹880 simple interest at 8% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
  11. 11.If 7x + 6 = 2x + 41, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  12. 12.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 31 (b) 63 (c) 29 (d) 28
  13. 13.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 24 cm
  14. 14.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 25 cm (d) 16 cm
  15. 15.Every pair follows the same rule: 2 : 9, 5 : 30, 8 : 69. What is 3 : ? (a) 15 (b) 10 (c) 14 (d) 4
  16. 16.If 6x + 5 = 71, what is x? (a) 10 (b) 11 (c) 12 (d) 66
  17. 17.Which of these numbers is divisible by 4? (a) 1235 (b) 1236 (c) 1237 (d) 1243
  18. 18.Which is the greatest: 0.55, 0.434, 0.5, 0.046? (a) 0.55 (b) 0.434 (c) 0.5 (d) 0.046
  19. 19.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 24 sq cm (c) 119 sq cm (d) 48 sq cm
  20. 20.8.26 + 1.1 = ? (a) 9.36 (b) 9.26 (c) 8.37 (d) 9.46
  21. 21.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 7 (b) 32 (c) 15 (d) 8
  22. 22.The simple interest on ₹6500 for 4 years is ₹2860. What is the rate per year? (a) 10% (b) 12% (c) 11% (d) 44%
  23. 23.What is 20% of 160? (a) 320 (b) 32 (c) 64 (d) 128
  24. 24.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 209 cm
  25. 25.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 42 min (c) 2 min (d) 84 min
  26. 26.7.78 + 3.1 = ? (a) 10.78 (b) 8.09 (c) 10.98 (d) 10.88
  27. 27.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 66 (b) 38 (c) 72 (d) 32
  28. 28.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
  29. 29.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  30. 30.Which of these numbers is divisible by 6? (a) 1151 (b) 1140 (c) 1142 (d) 1136
  31. 31.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
  32. 32.A teacher has 84 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 84 (b) 6 (c) 24 (d) 12
  33. 33.₹10000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹4000 (b) ₹11000 (c) ₹14000 (d) ₹15000
  34. 34.If 8x + 5 = 2x + 65, what is x? (a) 10 (b) 11 (c) 6 (d) 12
  35. 35.What is 4/9 of 36? (a) 20 (b) 4 (c) 17 (d) 16
  36. 36.If 11 January is a Sunday, what day of the week is 3 February? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
  37. 37.6.94 + 6.7 = ? (a) 13.74 (b) 13.54 (c) 7.61 (d) 13.64
  38. 38.Every pair follows the same rule: 2 : 8, 4 : 12, 9 : 22. What is 3 : ? (a) 9 (b) 10 (c) 11 (d) 12
  39. 39.Every pair follows the same rule: 2 : 3, 3 : 8, 5 : 24. What is 6 : ? (a) 32 (b) 7 (c) 35 (d) 36
  40. 40.Which is the greatest: 0.521, 0.67, 0.6, 0.072? (a) 0.521 (b) 0.67 (c) 0.6 (d) 0.072

Answer key

  1. 3
  2. 3 years
  3. 70
  4. 80 sq cm
  5. 4 cm
  6. 30
  7. 5 cm
  8. 7.13
  9. 4
  10. 2 years
  11. 7
  12. 28
  13. 3 cm
  14. 32 cm
  15. 14
  16. 11
  17. 1236
  18. 0.55
  19. 119 sq cm
  20. 9.36
  21. 7
  22. 11%
  23. 32
  24. 12 cm
  25. 42 min
  26. 10.88
  27. 66
  28. 4 cm
  29. 64 sq cm
  30. 1140
  31. 34 cm
  32. 12
  33. ₹14000
  34. 10
  35. 16
  36. Tuesday
  37. 13.64
  38. 10
  39. 35
  40. 0.67

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