← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 328 · 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 8, 8, 17, 10, 31 and 46? (a) 19 (b) 20 (c) 24 (d) 21
  2. 2.Every pair follows the same rule: 2 : 3, 4 : 7, 6 : 11. What is 3 : ? (a) 4 (b) 6 (c) 7 (d) 5
  3. 3.What is the units digit of 7^47? (a) 1 (b) 3 (c) 7 (d) 9
  4. 4.What is 30% of 1000? (a) 3000 (b) 700 (c) 300 (d) 600
  5. 5.If x/4 + 11 = 21, what is x? (a) 128 (b) 40 (c) 10 (d) 73
  6. 6.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) 30 min (b) 90 min (c) 21 min (d) 3 min
  7. 7.2/3 + 1/2 = ? (a) 7/6 (b) 1 (c) 3/5 (d) 4/3
  8. 8.Every pair follows the same rule: 4 : 12, 5 : 13, 8 : 16. What is 7 : ? (a) 16 (b) 15 (c) 14 (d) 21
  9. 9.The simple interest on ₹10000 for 3 years is ₹3600. What is the rate per year? (a) 36% (b) 11% (c) 12% (d) 13%
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  11. 11.Which is the smallest: 0.24, 0.199, 0.2, 0.078? (a) 0.24 (b) 0.199 (c) 0.2 (d) 0.078
  12. 12.Every pair follows the same rule: 2 : 2, 4 : 14, 5 : 23. What is 3 : ? (a) 5 (b) 3 (c) 8 (d) 7
  13. 13.Which fraction is greater: 1/6 or 4/5? (a) They are equal (b) 1/6 (c) 4/5
  14. 14.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 105 cm (c) 44 cm (d) 37 cm
  15. 15.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 32 (b) 75 (c) 33 (d) 37
  16. 16.Which is the greatest: 0.336, 0.4, 0.46, 0.011? (a) 0.336 (b) 0.4 (c) 0.46 (d) 0.011
  17. 17.If 7 December is a Thursday, what day of the week is 15 December? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  18. 18.If 12 August is a Tuesday, what day of the week is 21 August? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  19. 19.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  20. 20.What is 3/7 of 14? (a) 8 (b) 6 (c) 7 (d) 2
  21. 21.Which is the greatest: 0.092, 0.42, 0.4, 0.311? (a) 0.092 (b) 0.42 (c) 0.4 (d) 0.311
  22. 22.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 15% (b) 10% (c) 30% (d) 20%
  23. 23.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 300 (b) 750 (c) 55 (d) 150
  24. 24.What is 20% of 480? (a) 96 (b) 192 (c) 960 (d) 384
  25. 25.If x/4 + 15 = 18, what is x? (a) 132 (b) 3 (c) 57 (d) 12
  26. 26.Every pair follows the same rule: 2 : 11, 3 : 15, 5 : 23. What is 9 : ? (a) 40 (b) 18 (c) 38 (d) 39
  27. 27.If 9x + 3 = 7x + 13, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  28. 28.What is the simple interest on ₹9000 at 7% per year for 3 years? (a) ₹10890 (b) ₹630 (c) ₹1890 (d) ₹2520
  29. 29.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 90 sq cm (c) 23 sq cm (d) 108 sq cm
  30. 30.Every pair follows the same rule: 3 : 6, 4 : 7, 7 : 10. What is 6 : ? (a) 8 (b) 9 (c) 10 (d) 12
  31. 31.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 61 (b) 29 (c) 33 (d) 36
  32. 32.Every pair follows the same rule: 5 : 18, 6 : 19, 9 : 22. What is 7 : ? (a) 19 (b) 22 (c) 20 (d) 21
  33. 33.If 8 notebooks cost ₹160, how much do 11 notebooks cost? (a) ₹163 (b) ₹1760 (c) ₹240 (d) ₹220
  34. 34.If 9x − 5 = 13, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  35. 35.If 19 January is a Monday, what day of the week is 4 February? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  36. 36.What is the simple interest on ₹4000 at 7% per year for 4 years? (a) ₹1120 (b) ₹1400 (c) ₹5120 (d) ₹280
  37. 37.Which of these numbers is divisible by 6? (a) 1559 (b) 1562 (c) 1571 (d) 1560
  38. 38.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 50 (b) 100 (c) 35 (d) 250
  39. 39.Today is Wednesday. What day of the week will it be after 16 days? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  40. 40.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 24 (b) 43 (c) 37 (d) 55

Answer key

  1. 20
  2. 5
  3. 3
  4. 300
  5. 40
  6. 30 min
  7. 7/6
  8. 15
  9. 12%
  10. 169 sq cm
  11. 0.078
  12. 7
  13. 4/5
  14. 44 cm
  15. 32
  16. 0.46
  17. Friday
  18. Thursday
  19. 40%
  20. 6
  21. 0.42
  22. 15%
  23. 150
  24. 96
  25. 12
  26. 39
  27. 5
  28. ₹1890
  29. 90 sq cm
  30. 9
  31. 61
  32. 20
  33. ₹220
  34. 2
  35. Wednesday
  36. ₹1120
  37. 1560
  38. 50
  39. Friday
  40. 55

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