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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 369 · 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. 1.6.97 + 3.5 = ? (a) 7.32 (b) 10.47 (c) 10.57 (d) 10.37
  2. 2.What is 10% of 460? (a) 460 (b) 92 (c) 46 (d) 414
  3. 3.If 5 pens cost ₹45, how much do 4 pens cost? (a) ₹180 (b) ₹45 (c) ₹44 (d) ₹36
  4. 4.2.92 + 8.8 = ? (a) 3.8 (b) 11.62 (c) 11.82 (d) 11.72
  5. 5.What is the remainder when 140 is divided by 12? (a) 8 (b) 4 (c) 9 (d) 7
  6. 6.Every pair follows the same rule: 3 : 9, 5 : 25, 6 : 36. What is 7 : ? (a) 49 (b) 47 (c) 13 (d) 21
  7. 7.Which is the smallest: 0.159, 0.2, 0.085, 0.24? (a) 0.159 (b) 0.2 (c) 0.085 (d) 0.24
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  9. 9.A shopkeeper buys a toy for ₹340 and sells it for ₹442. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  10. 10.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 46 sq cm (c) 23 sq cm (d) 80 sq cm
  11. 11.2/3 + 1/4 = ? (a) 3/7 (b) 1 (c) 5/6 (d) 11/12
  12. 12.Which of these numbers is divisible by 4? (a) 921 (b) 924 (c) 930 (d) 925
  13. 13.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 80 cm (c) 7 cm (d) 12 cm
  14. 14.What is the simple interest on ₹9000 at 4% per year for 3 years? (a) ₹10080 (b) ₹360 (c) ₹1080 (d) ₹1440
  15. 15.In how many years will ₹3500 earn ₹560 simple interest at 4% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  16. 16.A shopkeeper buys a toy for ₹960 and sells it for ₹1056. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 96%
  17. 17.Which of these numbers is divisible by 6? (a) 5093 (b) 5082 (c) 5084 (d) 5079
  18. 18.The simple interest on ₹6500 for 4 years is ₹2860. What is the rate per year? (a) 44% (b) 10% (c) 11% (d) 12%
  19. 19.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 40 cm (d) 150 cm
  20. 20.What is the remainder when 438 is divided by 9? (a) 7 (b) 5 (c) 3 (d) 6
  21. 21.What is the smallest number you must add to 186 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  22. 22.Which of these numbers is divisible by 9? (a) 4248 (b) 4263 (c) 4251 (d) 4244
  23. 23.Which is the greatest: 0.071, 0.29, 0.173, 0.2? (a) 0.071 (b) 0.29 (c) 0.173 (d) 0.2
  24. 24.9.48 + 9.9 = ? (a) 19.28 (b) 19.48 (c) 19.38 (d) 10.47
  25. 25.Which is the greatest: 0.732, 0.8, 0.86, 0.019? (a) 0.732 (b) 0.8 (c) 0.86 (d) 0.019
  26. 26.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 1 day (d) 11 days
  27. 27.3/6 + 2/8 = ? (a) 3/4 (b) 19/24 (c) 5/14 (d) 17/24
  28. 28.What is the units digit of 3^10? (a) 1 (b) 7 (c) 9 (d) 3
  29. 29.What is the smallest number you must add to 182 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  30. 30.What is the value of the digit 4 in 61.943? (a) 0.004 (b) 4 (c) 0.4 (d) 0.04
  31. 31.What is the remainder when 316 is divided by 5? (a) 4 (b) 0 (c) 2 (d) 1
  32. 32.Every pair follows the same rule: 4 : 13, 5 : 17, 9 : 33. What is 2 : ? (a) 4 (b) 6 (c) 5 (d) 11
  33. 33.Which fraction is greater: 7/9 or 7/12? (a) 7/12 (b) They are equal (c) 7/9
  34. 34.What is the average of 24, 20, 46, 29, 25 and 48? (a) 31 (b) 32 (c) 33 (d) 34
  35. 35.If 5x − 20 = 5, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  36. 36.In how many years will ₹9500 earn ₹760 simple interest at 2% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  37. 37.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 41 days (c) 16 days (d) 4 days
  38. 38.1/2 + 1/2 = ? (a) 2 (b) 1/2 (c) 1 (d) 3/2
  39. 39.Every pair follows the same rule: 2 : 3, 4 : 15, 5 : 24. What is 8 : ? (a) 9 (b) 64 (c) 51 (d) 63
  40. 40.What is the simple interest on ₹1000 at 5% per year for 2 years? (a) ₹150 (b) ₹50 (c) ₹1100 (d) ₹100

Answer key

  1. 10.47
  2. 46
  3. ₹36
  4. 11.72
  5. 8
  6. 49
  7. 0.085
  8. 81 sq cm
  9. 30%
  10. 60 sq cm
  11. 11/12
  12. 924
  13. 6 cm
  14. ₹1080
  15. 4 years
  16. 10%
  17. 5082
  18. 11%
  19. 50 cm
  20. 6
  21. 2
  22. 4248
  23. 0.29
  24. 19.38
  25. 0.86
  26. 3 days
  27. 3/4
  28. 9
  29. 2
  30. 0.04
  31. 1
  32. 5
  33. 7/9
  34. 32
  35. 5
  36. 4 years
  37. 40 days
  38. 1
  39. 63
  40. ₹100

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