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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 717 · 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.Today is Sunday. What day of the week will it be after 89 days? (a) Thursday (b) Saturday (c) Friday (d) Sunday
  2. 2.Which fraction is greater: 2/5 or 7/10? (a) 7/10 (b) They are equal (c) 2/5
  3. 3.Every pair follows the same rule: 3 : 6, 5 : 8, 8 : 11. What is 2 : ? (a) 5 (b) 7 (c) 4 (d) 6
  4. 4.If 9x − 66 = 42, what is x? (a) 12 (b) 11 (c) 108 (d) 13
  5. 5.If x/3 + 15 = 22, what is x? (a) 7 (b) 21 (c) 51 (d) 111
  6. 6.The simple interest on ₹2500 for 4 years is ₹300. What is the rate per year? (a) 3% (b) 12% (c) 2% (d) 4%
  7. 7.What is the remainder when 371 is divided by 6? (a) 4 (b) 1 (c) 3 (d) 5
  8. 8.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 36 min (c) 56 min (d) 4 min
  9. 9.If 9x − 57 = 42, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  10. 10.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 72 cm
  11. 11.₹8500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹1020 (b) ₹9520 (c) ₹10030 (d) ₹9010
  12. 12.If 9x + 29 = 164, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  13. 13.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
  14. 14.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹1075 (b) ₹835 (c) ₹215 (d) ₹645
  15. 15.If x/3 + 11 = 14, what is x? (a) 3 (b) 31 (c) 9 (d) 75
  16. 16.If 7 pens cost ₹154, how much do 4 pens cost? (a) ₹110 (b) ₹616 (c) ₹151 (d) ₹88
  17. 17.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 44% (b) 6% (c) 10% (d) 5%
  18. 18.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 32 (b) 60 (c) 240 (d) 120
  19. 19.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹27 (b) ₹9 (c) ₹45 (d) ₹36
  20. 20.Today is Saturday. What day of the week will it be after 94 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  21. 21.Which is the smallest: 0.4, 0.343, 0.43, 0.091? (a) 0.4 (b) 0.343 (c) 0.43 (d) 0.091
  22. 22.3.21 + 4.3 = ? (a) 3.64 (b) 7.61 (c) 7.41 (d) 7.51
  23. 23.Today is Monday. What day of the week will it be after 22 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 27 sq cm (d) 24 sq cm
  25. 25.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  26. 26.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 216 (b) 217 (c) 6 (d) 120
  27. 27.1/2 + 1/2 = ? (a) 1/2 (b) 1 (c) 3/2 (d) 2
  28. 28.A shopkeeper buys a toy for ₹680 and sells it for ₹510. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  29. 29.In how many years will ₹3500 earn ₹280 simple interest at 4% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
  30. 30.2.86 + 2.6 = ? (a) 5.56 (b) 3.12 (c) 5.36 (d) 5.46
  31. 31.Which is the greatest: 0.26, 0.165, 0.011, 0.2? (a) 0.26 (b) 0.165 (c) 0.011 (d) 0.2
  32. 32.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹18 (b) ₹21 (c) ₹24 (d) ₹6
  33. 33.If 2 December is a Monday, what day of the week is 12 December? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  34. 34.Every pair follows the same rule: 2 : 4, 8 : 16, 9 : 18. What is 6 : ? (a) 13 (b) 12 (c) 8 (d) 11
  35. 35.If 4 January is a Monday, what day of the week is 14 January? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  36. 36.A teacher has 8 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 8 (c) 2 (d) 40
  37. 37.In how many years will ₹7500 earn ₹2250 simple interest at 6% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
  38. 38.Which fraction is greater: 2/9 or 1/3? (a) They are equal (b) 1/3 (c) 2/9
  39. 39.What is the units digit of 2^14? (a) 4 (b) 2 (c) 8 (d) 6
  40. 40.What is the smallest number you must add to 695 to make it divisible by 9? (a) 2 (b) 7 (c) 6 (d) 8

Answer key

  1. Friday
  2. 7/10
  3. 5
  4. 12
  5. 21
  6. 3%
  7. 5
  8. 56 min
  9. 11
  10. 5 cm
  11. ₹9520
  12. 15
  13. 32 sq cm
  14. ₹645
  15. 9
  16. ₹88
  17. 5%
  18. 60
  19. ₹36
  20. Tuesday
  21. 0.091
  22. 7.51
  23. Tuesday
  24. 27 sq cm
  25. 40%
  26. 216
  27. 1
  28. 25%
  29. 2 years
  30. 5.46
  31. 0.26
  32. ₹24
  33. Thursday
  34. 12
  35. Thursday
  36. 2
  37. 5 years
  38. 1/3
  39. 4
  40. 7

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