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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 779 · 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. 1.7 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 28 days (b) 3 days (c) 29 days (d) 13 days
  2. 2.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 20 (b) 46 (c) 56 (d) 30
  3. 3.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 8% (b) 10% (c) 5% (d) 6%
  4. 4.Which of these numbers is divisible by 3? (a) 2261 (b) 2256 (c) 2255 (d) 2258
  5. 5.The simple interest on ₹5000 for 5 years is ₹2750. What is the rate per year? (a) 11% (b) 12% (c) 10% (d) 55%
  6. 6.Which of these numbers is divisible by 9? (a) 530 (b) 535 (c) 541 (d) 531
  7. 7.If 3x + 7 = 13, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  8. 8.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 16%
  9. 9.What is the units digit of 9^49? (a) 9 (b) 8 (c) 1 (d) 7
  10. 10.Which fraction is greater: 2/7 or 4/9? (a) 2/7 (b) They are equal (c) 4/9
  11. 11.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 20 cm
  12. 12.A teacher has 36 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 12 (c) 6 (d) 48
  13. 13.If 22 April is a Friday, what day of the week is 1 May? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  14. 14.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 5 : ? (a) 125 (b) 65 (c) 126 (d) 5
  15. 15.Every pair follows the same rule: 4 : 9, 6 : 15, 8 : 21. What is 3 : ? (a) 5 (b) 7 (c) 8 (d) 6
  16. 16.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 1 day (c) 10 days (d) 17 days
  17. 17.Which is the greatest: 0.2, 0.163, 0.22, 0.035? (a) 0.2 (b) 0.163 (c) 0.22 (d) 0.035
  18. 18.If 10 August is a Sunday, what day of the week is 4 September? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  19. 19.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 56 (c) 36 (d) 26
  20. 20.If 7x + 7 = 4x + 16, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  21. 21.What is the value of the digit 5 in 95.483? (a) 0.5 (b) 0.05 (c) 5 (d) 50
  22. 22.A bag marked ₹1400 is sold at a 10% discount. What is its selling price? (a) ₹1260 (b) ₹140 (c) ₹1540 (d) ₹1390
  23. 23.If 4 December is a Monday, what day of the week is 17 December? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  24. 24.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 48 (c) 70 (d) 30
  25. 25.In how many years will ₹8500 earn ₹2040 simple interest at 12% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
  26. 26.What is the simple interest on ₹4500 at 8% per year for 4 years? (a) ₹1800 (b) ₹360 (c) ₹1440 (d) ₹5940
  27. 27.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 48 (b) 36 (c) 15 (d) 69
  28. 28.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 1 day (d) 12 days
  29. 29.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
  30. 30.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 5 cm (d) 4 cm
  31. 31.₹2000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹3080 (b) ₹900 (c) ₹2180 (d) ₹2900
  32. 32.What is the value of the digit 2 in 35.924? (a) 0.2 (b) 0.002 (c) 0.02 (d) 2
  33. 33.If 3x + 7 = x + 29, what is x? (a) 12 (b) 13 (c) 18 (d) 11
  34. 34.What is 4/7 of 56? (a) 32 (b) 8 (c) 40 (d) 24
  35. 35.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 35 (b) 28 (c) 63 (d) 42
  36. 36.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
  37. 37.What is 1/8 of 24? (a) 4 (b) 6 (c) 3 (d) 21
  38. 38.Which is the smallest: 0.51, 0.5, 0.013, 0.446? (a) 0.51 (b) 0.5 (c) 0.013 (d) 0.446
  39. 39.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 65 sq cm (c) 18 sq cm (d) 36 sq cm
  40. 40.What is 1/2 of 22? (a) 11 (b) 10 (c) 22 (d) 12

Answer key

  1. 28 days
  2. 46
  3. 5%
  4. 2256
  5. 11%
  6. 531
  7. 2
  8. 5%
  9. 9
  10. 4/9
  11. 22 cm
  12. 12
  13. Sunday
  14. 125
  15. 6
  16. 16 days
  17. 0.22
  18. Thursday
  19. 56
  20. 3
  21. 5
  22. ₹1260
  23. Sunday
  24. 70
  25. 2 years
  26. ₹1440
  27. 48
  28. 3 days
  29. 80 sq cm
  30. 4 cm
  31. ₹2900
  32. 0.02
  33. 11
  34. 32
  35. 63
  36. 42 sq cm
  37. 3
  38. 0.013
  39. 65 sq cm
  40. 11

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