← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 836 · 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 + 22 = 38, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  2. 2.If x/3 + 12 = 22, what is x? (a) 30 (b) 54 (c) 102 (d) 10
  3. 3.If 6x + 20 = 80, what is x? (a) 10 (b) 11 (c) 60 (d) 9
  4. 4.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 45%
  5. 5.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 140 (b) 24 (c) 70 (d) 71
  6. 6.Every pair follows the same rule: 4 : 13, 7 : 19, 8 : 21. What is 5 : ? (a) 14 (b) 16 (c) 17 (d) 15
  7. 7.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 51 (b) 59 (c) 49 (d) 12
  8. 8.A bag marked ₹480 is sold at a 20% discount. What is its selling price? (a) ₹460 (b) ₹576 (c) ₹384 (d) ₹96
  9. 9.Which is the greatest: 0.2, 0.29, 0.041, 0.143? (a) 0.2 (b) 0.29 (c) 0.041 (d) 0.143
  10. 10.What is the average of 47, 63, 44 and 50? (a) 68 (b) 52 (c) 50 (d) 51
  11. 11.Today is Tuesday. What day of the week will it be after 74 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
  12. 12.What is 60% of 280? (a) 1680 (b) 336 (c) 112 (d) 168
  13. 13.What is the average of 71, 67, 56 and 90? (a) 71 (b) 72 (c) 73 (d) 70
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  15. 15.If 26 November is a Thursday, what day of the week is 2 December? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  16. 16.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  17. 17.What is the value of the digit 6 in 98.643? (a) 0.006 (b) 0.06 (c) 0.6 (d) 6
  18. 18.Every pair follows the same rule: 2 : 6, 6 : 18, 7 : 21. What is 8 : ? (a) 12 (b) 25 (c) 24 (d) 23
  19. 19.1/2 + 1/2 = ? (a) 3/2 (b) 1 (c) 2 (d) 1/2
  20. 20.Two ribbons are 30 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 1 cm (c) 210 cm (d) 5 cm
  21. 21.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) 14 min (b) 24 min (c) 48 min (d) 2 min
  22. 22.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  23. 23.What is the units digit of 4^20? (a) 6 (b) 5 (c) 7 (d) 4
  24. 24.What is the average of all the whole numbers from 48 to 56? (a) 53 (b) 52 (c) 4 (d) 8
  25. 25.9.01 + 8.8 = ? (a) 9.89 (b) 17.91 (c) 17.81 (d) 17.71
  26. 26.Every pair follows the same rule: 2 : 10, 4 : 12, 9 : 17. What is 6 : ? (a) 30 (b) 13 (c) 14 (d) 15
  27. 27.₹370 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹185 (b) ₹333 (c) ₹370 (d) ₹37
  28. 28.What is 20% of 180? (a) 36 (b) 360 (c) 72 (d) 144
  29. 29.In how many years will ₹6500 earn ₹2340 simple interest at 12% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  30. 30.6.31 + 4.1 = ? (a) 10.51 (b) 10.31 (c) 6.72 (d) 10.41
  31. 31.1.58 + 9.2 = ? (a) 10.68 (b) 10.88 (c) 10.78 (d) 2.5
  32. 32.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 121 sq cm (d) 110 sq cm
  33. 33.If 5x + 3 = 2x + 6, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.Which is the smallest: 0.053, 0.397, 0.41, 0.4? (a) 0.053 (b) 0.397 (c) 0.41 (d) 0.4
  35. 35.Which fraction is greater: 2/5 or 7/10? (a) 7/10 (b) 2/5 (c) They are equal
  36. 36.Which is the greatest: 0.39, 0.027, 0.249, 0.3? (a) 0.39 (b) 0.027 (c) 0.249 (d) 0.3
  37. 37.Which of these numbers is divisible by 4? (a) 1764 (b) 1765 (c) 1770 (d) 1761
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  39. 39.Which fraction is greater: 3/10 or 1/3? (a) 3/10 (b) 1/3 (c) They are equal
  40. 40.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 50 cm (b) 30 cm (c) 5 cm (d) 10 cm

Answer key

  1. 2
  2. 30
  3. 10
  4. 5%
  5. 70
  6. 15
  7. 59
  8. ₹384
  9. 0.29
  10. 51
  11. Saturday
  12. 168
  13. 71
  14. 64 sq cm
  15. Wednesday
  16. 35 sq cm
  17. 0.6
  18. 24
  19. 1
  20. 5 cm
  21. 24 min
  22. 30%
  23. 6
  24. 52
  25. 17.81
  26. 14
  27. ₹333
  28. 36
  29. 3 years
  30. 10.41
  31. 10.78
  32. 110 sq cm
  33. 1
  34. 0.053
  35. 7/10
  36. 0.39
  37. 1764
  38. 81 sq cm
  39. 1/3
  40. 10 cm

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