← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 69 · 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 units digit of 2^10? (a) 2 (b) 4 (c) 8 (d) 6
  2. 2.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 28 days (b) 7 days (c) 10 days (d) 18 days
  3. 3.In how many years will ₹1000 earn ₹160 simple interest at 4% per year? (a) 8 years (b) 3 years (c) 4 years (d) 5 years
  4. 4.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  5. 5.2/7 + 1/2 = ? (a) 5/7 (b) 6/7 (c) 1/3 (d) 11/14
  6. 6.What is 2/3 of 21? (a) 15 (b) 7 (c) 14 (d) 21
  7. 7.A teacher has 60 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 12 (c) 60 (d) 6
  8. 8.What is the average of 42, 45, 42, 57, 49 and 65? (a) 51 (b) 50 (c) 60 (d) 49
  9. 9.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 89 (b) 30 (c) 62 (d) 65
  10. 10.What is the average of all the whole numbers from 15 to 29? (a) 22 (b) 14 (c) 7 (d) 23
  11. 11.4.36 + 6.5 = ? (a) 10.76 (b) 10.86 (c) 5.01 (d) 10.96
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  13. 13.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 13 (c) 24 (d) 12
  14. 14.Which is the greatest: 0.3, 0.028, 0.268, 0.31? (a) 0.3 (b) 0.028 (c) 0.268 (d) 0.31
  15. 15.If 14 August is a Thursday, what day of the week is 28 August? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  16. 16.In how many years will ₹3500 earn ₹840 simple interest at 12% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
  17. 17.Every pair follows the same rule: 3 : 9, 6 : 36, 9 : 81. What is 7 : ? (a) 21 (b) 51 (c) 13 (d) 49
  18. 18.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 20 min (c) 14 min (d) 2 min
  19. 19.Every pair follows the same rule: 7 : 13, 8 : 15, 9 : 17. What is 4 : ? (a) 7 (b) 10 (c) 8 (d) 6
  20. 20.What is the average of all the whole numbers from 44 to 64? (a) 54 (b) 10 (c) 55 (d) 20
  21. 21.Which of these numbers is divisible by 9? (a) 1246 (b) 1266 (c) 1251 (d) 1253
  22. 22.Today is Saturday. What day of the week will it be after 35 days? (a) Friday (b) Monday (c) Saturday (d) Sunday
  23. 23.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 16 (b) 46 (c) 90 (d) 60
  24. 24.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 60 (d) 30
  25. 25.Which is the greatest: 0.066, 0.3, 0.261, 0.36? (a) 0.066 (b) 0.3 (c) 0.261 (d) 0.36
  26. 26.3/8 + 1/3 = ? (a) 2/3 (b) 4/11 (c) 17/24 (d) 3/4
  27. 27.Which is the greatest: 0.692, 0.77, 0.7, 0.054? (a) 0.692 (b) 0.77 (c) 0.7 (d) 0.054
  28. 28.Every pair follows the same rule: 2 : 3, 4 : 15, 7 : 48. What is 6 : ? (a) 36 (b) 37 (c) 35 (d) 7
  29. 29.If x/4 + 1 = 10, what is x? (a) 36 (b) 44 (c) 39 (d) 9
  30. 30.The simple interest on ₹9500 for 3 years is ₹2850. What is the rate per year? (a) 30% (b) 9% (c) 11% (d) 10%
  31. 31.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 95%
  32. 32.Every pair follows the same rule: 2 : 16, 3 : 24, 5 : 40. What is 7 : ? (a) 56 (b) 57 (c) 21 (d) 55
  33. 33.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 30 min (c) 90 min (d) 3 min
  34. 34.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
  35. 35.Which fraction is greater: 5/9 or 6/11? (a) They are equal (b) 5/9 (c) 6/11
  36. 36.If 8x + 3 = 3x + 8, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  37. 37.If 3x + 8 = x + 22, what is x? (a) 9 (b) 8 (c) 7 (d) 15
  38. 38.If 5x + 10 = x + 42, what is x? (a) 13 (b) 8 (c) 9 (d) 10
  39. 39.What is 25% of 740? (a) 555 (b) 185 (c) 370 (d) 1850
  40. 40.If 8x + 17 = 129, what is x? (a) 14 (b) 13 (c) 112 (d) 15

Answer key

  1. 4
  2. 7 days
  3. 4 years
  4. 20%
  5. 11/14
  6. 14
  7. 12
  8. 50
  9. 89
  10. 22
  11. 10.86
  12. 25 sq cm
  13. 12
  14. 0.31
  15. Thursday
  16. 2 years
  17. 49
  18. 20 min
  19. 7
  20. 54
  21. 1251
  22. Saturday
  23. 60
  24. 30
  25. 0.36
  26. 17/24
  27. 0.77
  28. 35
  29. 36
  30. 10%
  31. 25%
  32. 56
  33. 30 min
  34. 28 sq cm
  35. 5/9
  36. 1
  37. 7
  38. 8
  39. 185
  40. 14

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