← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 169 · 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 the average of all the whole numbers from 31 to 37? (a) 34 (b) 35 (c) 6 (d) 3
  2. 2.Every pair follows the same rule: 2 : 2, 3 : 7, 6 : 34. What is 4 : ? (a) 4 (b) 14 (c) 15 (d) 16
  3. 3.What is the value of the digit 3 in 68.394? (a) 3 (b) 0.3 (c) 0.03 (d) 0.003
  4. 4.If 7x + 3 = x + 27, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  5. 5.What is the remainder when 131 is divided by 4? (a) 1 (b) 0 (c) 3 (d) 2
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  7. 7.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 4 (b) 52 (c) 97 (d) 49
  8. 8.₹234 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹18 (b) ₹144 (c) ₹117 (d) ₹90
  9. 9.If 4 July is a Friday, what day of the week is 19 July? (a) Saturday (b) Sunday (c) Monday (d) Friday
  10. 10.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 1 day (d) 11 days
  11. 11.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 36 (c) 69 (d) 45
  12. 12.Every pair follows the same rule: 3 : 15, 6 : 42, 9 : 87. What is 5 : ? (a) 17 (b) 25 (c) 27 (d) 31
  13. 13.A bag marked ₹580 is sold at a 15% discount. What is its selling price? (a) ₹493 (b) ₹667 (c) ₹87 (d) ₹565
  14. 14.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 61 (c) 30 (d) 33
  15. 15.What is the smallest number you must add to 168 to make it divisible by 9? (a) 4 (b) 2 (c) 6 (d) 3
  16. 16.If 8 May is a Friday, what day of the week is 21 May? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  17. 17.What is the average of 19, 36, 24 and 9? (a) 23 (b) 22 (c) 24 (d) 21
  18. 18.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 56 min (c) 2 min (d) 22 min
  19. 19.3.16 + 7.7 = ? (a) 10.86 (b) 10.76 (c) 3.93 (d) 10.96
  20. 20.The simple interest on ₹7000 for 2 years is ₹700. What is the rate per year? (a) 6% (b) 4% (c) 10% (d) 5%
  21. 21.If 4x − 8 = 48, what is x? (a) 10 (b) 14 (c) 15 (d) 56
  22. 22.In how many years will ₹9500 earn ₹1710 simple interest at 9% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
  23. 23.2/6 + 1/3 = ? (a) 5/6 (b) 2/3 (c) 1/2 (d) 1/3
  24. 24.Every pair follows the same rule: 5 : 8, 6 : 10, 9 : 16. What is 2 : ? (a) 1 (b) 3 (c) 5 (d) 2
  25. 25.If 19 July is a Wednesday, what day of the week is 20 August? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  26. 26.Which of these numbers is divisible by 4? (a) 534 (b) 532 (c) 529 (d) 539
  27. 27.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 30 (c) 60 (d) 16
  28. 28.Today is Friday. What day of the week will it be after 74 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  29. 29.Every pair follows the same rule: 2 : 20, 5 : 23, 7 : 25. What is 9 : ? (a) 27 (b) 26 (c) 90 (d) 28
  30. 30.If 2x + 30 = 50, what is x? (a) 11 (b) 40 (c) 10 (d) 20
  31. 31.Every pair follows the same rule: 2 : 8, 4 : 16, 7 : 28. What is 5 : ? (a) 21 (b) 11 (c) 19 (d) 20
  32. 32.Today is Wednesday. What day of the week will it be after 56 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  33. 33.Which of these numbers is divisible by 3? (a) 2342 (b) 2339 (c) 2336 (d) 2337
  34. 34.A bag marked ₹760 is sold at a 10% discount. What is its selling price? (a) ₹76 (b) ₹836 (c) ₹750 (d) ₹684
  35. 35.If 11 September is a Wednesday, what day of the week is 6 October? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  36. 36.Which is the smallest: 0.5, 0.52, 0.064, 0.471? (a) 0.5 (b) 0.52 (c) 0.064 (d) 0.471
  37. 37.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 48 min (c) 24 min (d) 14 min
  38. 38.What is 4/5 of 40? (a) 33 (b) 8 (c) 32 (d) 40
  39. 39.A shopkeeper buys a toy for ₹580 and sells it for ₹522. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 58%
  40. 40.Which is the greatest: 0.159, 0.22, 0.056, 0.2? (a) 0.159 (b) 0.22 (c) 0.056 (d) 0.2

Answer key

  1. 34
  2. 14
  3. 0.3
  4. 4
  5. 3
  6. 169 sq cm
  7. 52
  8. ₹144
  9. Saturday
  10. 2 days
  11. 45
  12. 31
  13. ₹493
  14. 58
  15. 3
  16. Thursday
  17. 22
  18. 56 min
  19. 10.86
  20. 5%
  21. 14
  22. 2 years
  23. 2/3
  24. 2
  25. Sunday
  26. 532
  27. 30
  28. Tuesday
  29. 27
  30. 10
  31. 20
  32. Wednesday
  33. 2337
  34. ₹684
  35. Sunday
  36. 0.064
  37. 24 min
  38. 32
  39. 10%
  40. 0.22

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad