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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 792 · 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 8x + 4 = 5x + 22, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  2. 2.If 9 notebooks cost ₹225, how much do 3 notebooks cost? (a) ₹100 (b) ₹219 (c) ₹675 (d) ₹75
  3. 3.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 8 (b) 31 (c) 35 (d) 29
  4. 4.Which of these numbers is divisible by 8? (a) 775 (b) 776 (c) 778 (d) 791
  5. 5.If 3x + 9 = 24, what is x? (a) 11 (b) 5 (c) 15 (d) 6
  6. 6.If x/3 + 6 = 13, what is x? (a) 57 (b) 7 (c) 33 (d) 21
  7. 7.What is 50% of 500? (a) 2500 (b) 500 (c) 251 (d) 250
  8. 8.9 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 1 day (b) 6 days (c) 5 days (d) 7 days
  9. 9.What is the simple interest on ₹8000 at 4% per year for 5 years? (a) ₹1920 (b) ₹9600 (c) ₹1600 (d) ₹320
  10. 10.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 55 (b) 140 (c) 280 (d) 700
  11. 11.1/4 + 3/9 = ? (a) 11/18 (b) 7/12 (c) 5/9 (d) 4/13
  12. 12.What is 5% of 240? (a) 120 (b) 228 (c) 12 (d) 24
  13. 13.The simple interest on ₹6500 for 2 years is ₹260. What is the rate per year? (a) 1% (b) 3% (c) 4% (d) 2%
  14. 14.If x/5 + 15 = 27, what is x? (a) 12 (b) 210 (c) 120 (d) 60
  15. 15.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 26 sq cm (d) 22 sq cm
  16. 16.7.15 + 5.6 = ? (a) 12.65 (b) 12.75 (c) 7.71 (d) 12.85
  17. 17.What is the average of 49, 32, 49, 32, 32 and 88? (a) 47 (b) 49 (c) 48 (d) 46
  18. 18.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  19. 19.Which of these numbers is divisible by 11? (a) 6584 (b) 6591 (c) 6605 (d) 6589
  20. 20.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 112 sq cm (d) 22 sq cm
  21. 21.What is the remainder when 707 is divided by 10? (a) 3 (b) 6 (c) 7 (d) 8
  22. 22.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 36 cm (c) 28 cm (d) 18 cm
  23. 23.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 22 cm (d) 11 cm
  24. 24.If 5x + 19 = 2x + 46, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  25. 25.A shopkeeper buys a toy for ₹340 and sells it for ₹476. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 41%
  26. 26.What is the remainder when 93 is divided by 4? (a) 1 (b) 3 (c) 0 (d) 2
  27. 27.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 7 (b) 2 (c) 1 (d) 4
  28. 28.₹2500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹300 (b) ₹2650 (c) ₹2800 (d) ₹2950
  29. 29.If 4 notebooks cost ₹76, how much do 11 notebooks cost? (a) ₹83 (b) ₹209 (c) ₹228 (d) ₹836
  30. 30.If 3x + 14 = 56, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  31. 31.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 224 (b) 44 (c) 448 (d) 112
  32. 32.Which is the greatest: 0.071, 0.2, 0.168, 0.25? (a) 0.071 (b) 0.2 (c) 0.168 (d) 0.25
  33. 33.The simple interest on ₹9500 for 2 years is ₹1710. What is the rate per year? (a) 10% (b) 18% (c) 9% (d) 8%
  34. 34.₹126 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹56 (b) ₹70 (c) ₹14 (d) ₹63
  35. 35.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 64 (d) 86
  36. 36.Every pair follows the same rule: 2 : 12, 6 : 20, 9 : 26. What is 8 : ? (a) 25 (b) 48 (c) 18 (d) 24
  37. 37.Two ribbons are 4 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 4 cm (c) 1 cm (d) 6 cm
  38. 38.What is the remainder when 151 is divided by 6? (a) 5 (b) 1 (c) 0 (d) 2
  39. 39.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 63 (b) 91 (c) 48 (d) 20
  40. 40.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 61 (b) 9 (c) 28 (d) 8

Answer key

  1. 6
  2. ₹75
  3. 35
  4. 776
  5. 5
  6. 21
  7. 250
  8. 6 days
  9. ₹1600
  10. 140
  11. 7/12
  12. 12
  13. 2%
  14. 60
  15. 22 sq cm
  16. 12.75
  17. 47
  18. 25%
  19. 6589
  20. 112 sq cm
  21. 7
  22. 36 cm
  23. 11 cm
  24. 9
  25. 40%
  26. 1
  27. 1
  28. ₹2800
  29. ₹209
  30. 14
  31. 112
  32. 0.25
  33. 9%
  34. ₹70
  35. 86
  36. 24
  37. 2 cm
  38. 1
  39. 63
  40. 8

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