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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 335 · 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 9x + 13 = 8x + 21, what is x? (a) 8 (b) 34 (c) 10 (d) 9
  2. 2.What is the average of 78, 54, 75 and 45? (a) 63 (b) 62 (c) 84 (d) 64
  3. 3.If 5 pens cost ₹115, how much do 2 pens cost? (a) ₹112 (b) ₹46 (c) ₹69 (d) ₹230
  4. 4.6 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 16 days (b) 14 days (c) 2 days (d) 4 days
  5. 5.What is 50% of 280? (a) 1400 (b) 280 (c) 141 (d) 140
  6. 6.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 17 days (c) 16 days (d) 1 day
  7. 7.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
  8. 8.₹6500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹7150 (b) ₹8450 (c) ₹9100 (d) ₹1950
  9. 9.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 50 (b) 32 (c) 72 (d) 27
  10. 10.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 18 min (c) 40 min (d) 80 min
  11. 11.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 42 (b) 43 (c) 20 (d) 84
  12. 12.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 12% (b) 5% (c) 10% (d) 6%
  13. 13.If 7x + 6 = 69, what is x? (a) 9 (b) 10 (c) 8 (d) 63
  14. 14.Which fraction is greater: 5/6 or 1/5? (a) They are equal (b) 1/5 (c) 5/6
  15. 15.1/3 + 7/9 = ? (a) 10/9 (b) 1 (c) 11/9 (d) 2/3
  16. 16.Every pair follows the same rule: 2 : 14, 5 : 35, 7 : 49. What is 9 : ? (a) 64 (b) 63 (c) 21 (d) 62
  17. 17.Two ribbons are 10 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 10 cm (c) 1 cm (d) 60 cm
  18. 18.What is the smallest number you must add to 242 to make it divisible by 6? (a) 2 (b) 5 (c) 3 (d) 4
  19. 19.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 20 cm (c) 11 cm (d) 10 cm
  20. 20.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 65 (c) 40 (d) 30
  21. 21.If 10 August is a Tuesday, what day of the week is 18 August? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  22. 22.What is the average of 61, 59, 56, 70 and 74? (a) 65 (b) 63 (c) 80 (d) 64
  23. 23.What is the value of the digit 4 in 74.589? (a) 4 (b) 0.4 (c) 0.04 (d) 40
  24. 24.Which of these numbers is divisible by 6? (a) 3524 (b) 3522 (c) 3529 (d) 3519
  25. 25.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 26 days (c) 11 days (d) 15 days
  26. 26.What is the smallest number you must add to 152 to make it divisible by 10? (a) 2 (b) 7 (c) 8 (d) 9
  27. 27.What is the remainder when 196 is divided by 3? (a) 0 (b) 2 (c) 1
  28. 28.If 5x + 17 = 3x + 29, what is x? (a) 6 (b) 8 (c) 23 (d) 7
  29. 29.What is 50% of 60? (a) 300 (b) 31 (c) 60 (d) 30
  30. 30.What is the value of the digit 2 in 32.591? (a) 2 (b) 0.2 (c) 0.02 (d) 20
  31. 31.What is the average of 46, 60, 34 and 40? (a) 44 (b) 45 (c) 46 (d) 60
  32. 32.2.09 + 9.1 = ? (a) 11.29 (b) 11.19 (c) 11.09 (d) 3
  33. 33.Which fraction is greater: 9/11 or 2/3? (a) They are equal (b) 9/11 (c) 2/3
  34. 34.A shopkeeper buys a toy for ₹660 and sells it for ₹495. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
  35. 35.Which fraction is greater: 3/10 or 1/7? (a) They are equal (b) 3/10 (c) 1/7
  36. 36.Which is the smallest: 0.042, 0.4, 0.42, 0.385? (a) 0.042 (b) 0.4 (c) 0.42 (d) 0.385
  37. 37.What is the simple interest on ₹9000 at 3% per year for 5 years? (a) ₹270 (b) ₹10350 (c) ₹1620 (d) ₹1350
  38. 38.If 26 November is a Monday, what day of the week is 18 December? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  39. 39.₹1500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹1950 (b) ₹1650 (c) ₹300 (d) ₹1800
  40. 40.In how many years will ₹9500 earn ₹1140 simple interest at 6% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years

Answer key

  1. 8
  2. 63
  3. ₹46
  4. 4 days
  5. 140
  6. 16 days
  7. 70 sq cm
  8. ₹8450
  9. 72
  10. 40 min
  11. 42
  12. 5%
  13. 9
  14. 5/6
  15. 10/9
  16. 63
  17. 2 cm
  18. 4
  19. 10 cm
  20. 65
  21. Wednesday
  22. 64
  23. 4
  24. 3522
  25. 26 days
  26. 8
  27. 1
  28. 6
  29. 30
  30. 2
  31. 45
  32. 11.19
  33. 9/11
  34. 25%
  35. 3/10
  36. 0.042
  37. ₹1350
  38. Tuesday
  39. ₹1800
  40. 2 years

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