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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 500 · 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.₹1500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹2040 (b) ₹1680 (c) ₹540 (d) ₹2220
  2. 2.What is the units digit of 7^45? (a) 9 (b) 1 (c) 7 (d) 3
  3. 3.6.79 + 4.1 = ? (a) 7.2 (b) 10.79 (c) 10.99 (d) 10.89
  4. 4.The simple interest on ₹4500 for 2 years is ₹630. What is the rate per year? (a) 8% (b) 7% (c) 6% (d) 14%
  5. 5.Which fraction is greater: 6/7 or 8/11? (a) They are equal (b) 6/7 (c) 8/11
  6. 6.2/3 + 1/2 = ? (a) 7/6 (b) 3/5 (c) 4/3 (d) 1
  7. 7.If 4 October is a Tuesday, what day of the week is 12 October? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  8. 8.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 52 sq cm (c) 152 sq cm (d) 26 sq cm
  9. 9.If 3x + 18 = 27, what is x? (a) 3 (b) 15 (c) 4 (d) 9
  10. 10.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 45 cm (c) 26 cm (d) 133 cm
  11. 11.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 72 sq cm (d) 84 sq cm
  12. 12.What is 5% of 940? (a) 47 (b) 470 (c) 94 (d) 893
  13. 13.If 5 October is a Wednesday, what day of the week is 13 October? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  14. 14.₹9500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹3420 (b) ₹12920 (c) ₹14060 (d) ₹10640
  15. 15.If 2 mangoes cost ₹34, how much do 5 mangoes cost? (a) ₹37 (b) ₹85 (c) ₹170 (d) ₹102
  16. 16.The simple interest on ₹2000 for 4 years is ₹960. What is the rate per year? (a) 13% (b) 11% (c) 48% (d) 12%
  17. 17.7.48 + 2.1 = ? (a) 9.68 (b) 9.48 (c) 7.69 (d) 9.58
  18. 18.Which is the greatest: 0.039, 0.612, 0.74, 0.7? (a) 0.039 (b) 0.612 (c) 0.74 (d) 0.7
  19. 19.The simple interest on ₹6000 for 2 years is ₹960. What is the rate per year? (a) 7% (b) 9% (c) 8% (d) 16%
  20. 20.Which of these numbers is divisible by 6? (a) 4757 (b) 4760 (c) 4767 (d) 4758
  21. 21.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 10 cm (c) 6 cm (d) 5 cm
  22. 22.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 209 cm
  23. 23.If 4x + 27 = 51, what is x? (a) 5 (b) 24 (c) 7 (d) 6
  24. 24.If x/2 + 5 = 11, what is x? (a) 6 (b) 32 (c) 17 (d) 12
  25. 25.A teacher has 14 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 112 (c) 14 (d) 1
  26. 26.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 24 (c) 96 (d) 20
  27. 27.Today is Monday. What day of the week will it be after 82 days? (a) Saturday (b) Friday (c) Sunday (d) Monday
  28. 28.If 9x + 5 = 23, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  29. 29.₹6500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹1170 (b) ₹6890 (c) ₹8060 (d) ₹7670
  30. 30.2/3 + 1/7 = ? (a) 17/21 (b) 6/7 (c) 16/21 (d) 3/10
  31. 31.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 84 min (c) 168 min (d) 26 min
  32. 32.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) 2 min (b) 60 min (c) 120 min (d) 22 min
  33. 33.If 8 pens cost ₹88, how much do 7 pens cost? (a) ₹87 (b) ₹88 (c) ₹77 (d) ₹616
  34. 34.If 15 March is a Friday, what day of the week is 15 April? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  35. 35.Which fraction is greater: 1/6 or 3/10? (a) They are equal (b) 1/6 (c) 3/10
  36. 36.What is the average of 55, 59, 67 and 51? (a) 59 (b) 57 (c) 60 (d) 58
  37. 37.What is the average of 44, 14, 19, 34, 34 and 29? (a) 30 (b) 28 (c) 29 (d) 31
  38. 38.In how many years will ₹1000 earn ₹330 simple interest at 11% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
  39. 39.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 8 days (d) 6 days
  40. 40.8.72 + 4.1 = ? (a) 12.72 (b) 12.92 (c) 9.13 (d) 12.82

Answer key

  1. ₹2040
  2. 7
  3. 10.89
  4. 7%
  5. 6/7
  6. 7/6
  7. Wednesday
  8. 133 sq cm
  9. 3
  10. 52 cm
  11. 72 sq cm
  12. 47
  13. Thursday
  14. ₹12920
  15. ₹85
  16. 12%
  17. 9.58
  18. 0.74
  19. 8%
  20. 4758
  21. 5 cm
  22. 12 cm
  23. 6
  24. 12
  25. 2
  26. 24
  27. Saturday
  28. 2
  29. ₹7670
  30. 17/21
  31. 84 min
  32. 60 min
  33. ₹77
  34. Monday
  35. 3/10
  36. 58
  37. 29
  38. 3 years
  39. 7 days
  40. 12.82

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