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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 743 · 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.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 54% (b) 15% (c) 5% (d) 10%
  2. 2.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 6 : ? (a) 217 (b) 216 (c) 6 (d) 186
  3. 3.A teacher has 44 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 44 (c) 11 (d) 1
  4. 4.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 10% (b) 44% (c) 6% (d) 5%
  5. 5.What is the units digit of 7^11? (a) 1 (b) 3 (c) 7 (d) 9
  6. 6.If 8x + 7 = 63, what is x? (a) 8 (b) 7 (c) 56 (d) 6
  7. 7.1/6 + 7/8 = ? (a) 4/7 (b) 25/24 (c) 13/12 (d) 1
  8. 8.If x/3 + 4 = 13, what is x? (a) 51 (b) 35 (c) 9 (d) 27
  9. 9.Every pair follows the same rule: 3 : 21, 5 : 35, 8 : 56. What is 9 : ? (a) 27 (b) 63 (c) 64 (d) 62
  10. 10.Which of these numbers is divisible by 8? (a) 2595 (b) 2581 (c) 2584 (d) 2591
  11. 11.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
  12. 12.What is 10% of 360? (a) 324 (b) 36 (c) 72 (d) 360
  13. 13.If 16 April is a Tuesday, what day of the week is 4 May? (a) Saturday (b) Friday (c) Monday (d) Sunday
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  15. 15.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 80 cm (c) 5 cm (d) 6 cm
  16. 16.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 84 (b) 33 (c) 252 (d) 168
  17. 17.What is the value of the digit 8 in 87.152? (a) 0.08 (b) 0.8 (c) 8 (d) 80
  18. 18.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 12 cm (d) 13 cm
  19. 19.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 47 (c) 31 (d) 20
  20. 20.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 36 cm
  21. 21.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 92% (b) 15% (c) 5% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 46% (b) 5% (c) 6% (d) 10%
  23. 23.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 375 min (b) 5 min (c) 75 min (d) 40 min
  24. 24.Which fraction is greater: 3/4 or 8/9? (a) 8/9 (b) They are equal (c) 3/4
  25. 25.A teacher has 32 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 8 (d) 32
  26. 26.5.23 + 6.7 = ? (a) 11.83 (b) 12.03 (c) 5.9 (d) 11.93
  27. 27.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 150 (b) 40 (c) 375 (d) 75
  28. 28.In how many years will ₹1000 earn ₹250 simple interest at 5% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
  29. 29.Which fraction is greater: 2/9 or 1/6? (a) 1/6 (b) 2/9 (c) They are equal
  30. 30.Which fraction is greater: 9/10 or 1/4? (a) 9/10 (b) 1/4 (c) They are equal
  31. 31.If 5x + 5 = 45, what is x? (a) 9 (b) 8 (c) 10 (d) 40
  32. 32.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 42 sq cm (d) 72 sq cm
  33. 33.What is 5% of 480? (a) 48 (b) 456 (c) 240 (d) 24
  34. 34.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 2 (b) 9 (c) 8 (d) 7
  35. 35.If 2x + 7 = 25, what is x? (a) 18 (b) 16 (c) 9 (d) 10
  36. 36.What is the units digit of 3^21? (a) 1 (b) 3 (c) 9 (d) 7
  37. 37.9.48 + 1.7 = ? (a) 11.18 (b) 11.28 (c) 11.08 (d) 9.65
  38. 38.Which fraction is greater: 7/8 or 2/3? (a) 2/3 (b) 7/8 (c) They are equal
  39. 39.Today is Thursday. What day of the week will it be after 54 days? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
  40. 40.If 31 May is a Thursday, what day of the week is 15 June? (a) Friday (b) Thursday (c) Sunday (d) Saturday

Answer key

  1. 10%
  2. 216
  3. 11
  4. 5%
  5. 3
  6. 7
  7. 25/24
  8. 27
  9. 63
  10. 2584
  11. 180 sq cm
  12. 36
  13. Saturday
  14. 225 sq cm
  15. 5 cm
  16. 84
  17. 80
  18. 12 cm
  19. 47
  20. 38 cm
  21. 10%
  22. 5%
  23. 75 min
  24. 8/9
  25. 8
  26. 11.93
  27. 75
  28. 5 years
  29. 2/9
  30. 9/10
  31. 8
  32. 54 sq cm
  33. 24
  34. 8
  35. 9
  36. 3
  37. 11.18
  38. 7/8
  39. Tuesday
  40. Friday

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