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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 542 · 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 1/6 of 24? (a) 5 (b) 20 (c) 4 (d) 8
  2. 2.Every pair follows the same rule: 2 : 11, 6 : 27, 7 : 31. What is 4 : ? (a) 18 (b) 19 (c) 13 (d) 20
  3. 3.If 3 mangoes cost ₹75, how much do 2 mangoes cost? (a) ₹75 (b) ₹50 (c) ₹150 (d) ₹74
  4. 4.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 12 cm (c) 7 cm (d) 6 cm
  5. 5.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 9 days (c) 14 days (d) 13 days
  6. 6.What is the value of the digit 4 in 14.673? (a) 0.4 (b) 40 (c) 0.04 (d) 4
  7. 7.₹99 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹11 (b) ₹44 (c) ₹55 (d) ₹66
  8. 8.Today is Friday. What day of the week will it be after 59 days? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  9. 9.What is the smallest number you must add to 686 to make it divisible by 9? (a) 2 (b) 6 (c) 7 (d) 8
  10. 10.Which is the greatest: 0.83, 0.755, 0.8, 0.023? (a) 0.83 (b) 0.755 (c) 0.8 (d) 0.023
  11. 11.What is the units digit of 8^24? (a) 8 (b) 6 (c) 4 (d) 2
  12. 12.What is the average of 48, 58, 38, 62, 42 and 52? (a) 60 (b) 49 (c) 50 (d) 51
  13. 13.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 38 sq cm (c) 48 sq cm (d) 19 sq cm
  14. 14.Which is the smallest: 0.032, 0.223, 0.38, 0.3? (a) 0.032 (b) 0.223 (c) 0.38 (d) 0.3
  15. 15.A bag marked ₹1380 is sold at a 50% discount. What is its selling price? (a) ₹1330 (b) ₹690 (c) ₹2070 (d) ₹691
  16. 16.If 3 pens cost ₹51, how much do 6 pens cost? (a) ₹119 (b) ₹306 (c) ₹54 (d) ₹102
  17. 17.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 4 (b) 3 (c) 17 (d) 36
  18. 18.The simple interest on ₹9000 for 5 years is ₹4050. What is the rate per year? (a) 45% (b) 9% (c) 10% (d) 8%
  19. 19.What is the average of 36, 45, 43, 32, 47 and 13? (a) 37 (b) 38 (c) 36 (d) 35
  20. 20.What is the units digit of 8^46? (a) 4 (b) 6 (c) 2 (d) 8
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  22. 22.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 13 (b) 25 (c) 14 (d) 53
  23. 23.The simple interest on ₹2000 for 3 years is ₹540. What is the rate per year? (a) 27% (b) 10% (c) 8% (d) 9%
  24. 24.₹6000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹6600 (b) ₹8400 (c) ₹1800 (d) ₹7800
  25. 25.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 2 : ? (a) 18 (b) 26 (c) 9 (d) 8
  26. 26.Today is Wednesday. What day of the week will it be after 77 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  27. 27.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 20% (b) 25% (c) 70% (d) 30%
  28. 28.If 3x + 6 = 42, what is x? (a) 13 (b) 36 (c) 16 (d) 12
  29. 29.A shopkeeper buys a toy for ₹800 and sells it for ₹880. What is his profit percent? (a) 10% (b) 5% (c) 80% (d) 15%
  30. 30.If 4x − 5 = 27, what is x? (a) 9 (b) 32 (c) 7 (d) 8
  31. 31.If 7x + 6 = 27, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  32. 32.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 52 sq cm (c) 32 sq cm (d) 39 sq cm
  33. 33.Every pair follows the same rule: 6 : 36, 7 : 41, 8 : 46. What is 4 : ? (a) 26 (b) 24 (c) 27 (d) 34
  34. 34.If x/5 + 7 = 15, what is x? (a) 40 (b) 8 (c) 68 (d) 110
  35. 35.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 126 (c) 84 (d) 42
  36. 36.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 1 day (d) 8 days
  37. 37.1/3 + 1/2 = ? (a) 1 (b) 2/3 (c) 2/5 (d) 5/6
  38. 38.Which fraction is greater: 1/3 or 3/5? (a) They are equal (b) 1/3 (c) 3/5
  39. 39.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 38 cm (d) 23 cm
  40. 40.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 24 (b) 12 (c) 186 (d) 216

Answer key

  1. 4
  2. 19
  3. ₹50
  4. 6 cm
  5. 14 days
  6. 4
  7. ₹55
  8. Monday
  9. 7
  10. 0.83
  11. 6
  12. 50
  13. 48 sq cm
  14. 0.032
  15. ₹690
  16. ₹102
  17. 3
  18. 9%
  19. 36
  20. 4
  21. 25 sq cm
  22. 13
  23. 9%
  24. ₹7800
  25. 8
  26. Wednesday
  27. 25%
  28. 12
  29. 10%
  30. 8
  31. 3
  32. 39 sq cm
  33. 26
  34. 40
  35. 42
  36. 2 days
  37. 5/6
  38. 3/5
  39. 46 cm
  40. 216

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