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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 398 · 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 simple interest on ₹2500 at 7% per year for 2 years? (a) ₹350 (b) ₹175 (c) ₹2850 (d) ₹525
  2. 2.A teacher has 80 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 720 (d) 80
  3. 3.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 15 (b) 38 (c) 35 (d) 47
  4. 4.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 2 min (c) 22 min (d) 120 min
  5. 5.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 76 sq cm (d) 57 sq cm
  6. 6.8 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 15 days (c) 37 days (d) 3 days
  7. 7.What is 20% of 400? (a) 80 (b) 320 (c) 160 (d) 800
  8. 8.What is the value of the digit 9 in 39.618? (a) 90 (b) 9 (c) 0.9 (d) 0.09
  9. 9.Today is Wednesday. What day of the week will it be after 78 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  10. 10.If 3x + 6 = 2x + 17, what is x? (a) 13 (b) 11 (c) 12 (d) 23
  11. 11.What is the simple interest on ₹4500 at 3% per year for 2 years? (a) ₹270 (b) ₹4770 (c) ₹405 (d) ₹135
  12. 12.What is 1/3 of 6? (a) 3 (b) 4 (c) 1 (d) 2
  13. 13.A teacher has 28 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 35 (c) 1 (d) 7
  14. 14.If 7x + 14 = 28, what is x? (a) 2 (b) 14 (c) 3 (d) 6
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  16. 16.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 14 (b) 20 (c) 40 (d) 21
  17. 17.In how many years will ₹2000 earn ₹160 simple interest at 2% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  18. 18.If 12 July is a Sunday, what day of the week is 1 August? (a) Sunday (b) Monday (c) Saturday (d) Friday
  19. 19.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 9% (b) 10% (c) 6% (d) 5%
  20. 20.Which is the smallest: 0.081, 0.3, 0.37, 0.256? (a) 0.081 (b) 0.3 (c) 0.37 (d) 0.256
  21. 21.Which of these numbers is divisible by 9? (a) 3708 (b) 3716 (c) 3702 (d) 3723
  22. 22.What is the remainder when 152 is divided by 9? (a) 1 (b) 6 (c) 8 (d) 7
  23. 23.If 8x − 40 = 48, what is x? (a) 88 (b) 1 (c) 11 (d) 12
  24. 24.Which of these numbers is divisible by 11? (a) 4364 (b) 4374 (c) 4367 (d) 4385
  25. 25.What is the average of 50, 52, 52, 72, 69 and 89? (a) 65 (b) 63 (c) 64 (d) 66
  26. 26.What is 15% of 180? (a) 270 (b) 27 (c) 153 (d) 54
  27. 27.Every pair follows the same rule: 7 : 51, 8 : 66, 9 : 83. What is 4 : ? (a) 18 (b) 19 (c) 48 (d) 17
  28. 28.Which is the greatest: 0.795, 0.082, 0.8, 0.86? (a) 0.795 (b) 0.082 (c) 0.8 (d) 0.86
  29. 29.What is the remainder when 399 is divided by 11? (a) 2 (b) 3 (c) 4 (d) 8
  30. 30.The simple interest on ₹5500 for 5 years is ₹1925. What is the rate per year? (a) 35% (b) 8% (c) 7% (d) 6%
  31. 31.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 112 cm
  32. 32.If x/4 + 6 = 13, what is x? (a) 76 (b) 46 (c) 28 (d) 7
  33. 33.A bag marked ₹1420 is sold at a 30% discount. What is its selling price? (a) ₹426 (b) ₹1846 (c) ₹1390 (d) ₹994
  34. 34.Which is the smallest: 0.023, 0.417, 0.5, 0.52? (a) 0.023 (b) 0.417 (c) 0.5 (d) 0.52
  35. 35.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
  36. 36.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 40 (b) 20 (c) 24 (d) 28
  37. 37.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 15% (b) 11% (c) 10% (d) 5%
  38. 38.If 9x + 17 = 7x + 41, what is x? (a) 29 (b) 14 (c) 13 (d) 12
  39. 39.Every pair follows the same rule: 2 : 19, 5 : 22, 7 : 24. What is 9 : ? (a) 28 (b) 27 (c) 26 (d) 25
  40. 40.₹10000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹10200 (b) ₹10400 (c) ₹10600 (d) ₹400

Answer key

  1. ₹350
  2. 10
  3. 47
  4. 60 min
  5. 57 sq cm
  6. 36 days
  7. 80
  8. 9
  9. Thursday
  10. 11
  11. ₹270
  12. 2
  13. 7
  14. 2
  15. 25 sq cm
  16. 20
  17. 4 years
  18. Saturday
  19. 5%
  20. 0.081
  21. 3708
  22. 8
  23. 11
  24. 4367
  25. 64
  26. 27
  27. 18
  28. 0.86
  29. 3
  30. 7%
  31. 8 cm
  32. 28
  33. ₹994
  34. 0.023
  35. 7 cm
  36. 40
  37. 10%
  38. 12
  39. 26
  40. ₹10400

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