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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 594 · 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 average of all the whole numbers from 56 to 86? (a) 71 (b) 30 (c) 15 (d) 72
  2. 2.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 25% (b) 20% (c) 76% (d) 15%
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  4. 4.What is the average of 71, 48, 68, 53, 46 and 50? (a) 57 (b) 56 (c) 55 (d) 58
  5. 5.If x/4 + 9 = 11, what is x? (a) 35 (b) 80 (c) 8 (d) 2
  6. 6.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) 36 min (b) 56 min (c) 224 min (d) 4 min
  7. 7.What is the smallest number you must add to 61 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  8. 8.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 40 (b) 28 (c) 80 (d) 160
  9. 9.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 51 sq cm (d) 38 sq cm
  10. 10.If 4x − 7 = 13, what is x? (a) 6 (b) 20 (c) 5 (d) 4
  11. 11.What is the average of 24, 44, 21 and 39? (a) 33 (b) 31 (c) 32 (d) 34
  12. 12.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 2 : ? (a) 5 (b) 8 (c) 4 (d) 14
  13. 13.What is the smallest number you must add to 580 to make it divisible by 12? (a) 7 (b) 8 (c) 9 (d) 4
  14. 14.In how many years will ₹1000 earn ₹270 simple interest at 9% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
  15. 15.Every pair follows the same rule: 2 : 12, 3 : 18, 8 : 48. What is 6 : ? (a) 37 (b) 35 (c) 16 (d) 36
  16. 16.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 48 (b) 25 (c) 14 (d) 24
  17. 17.Which fraction is greater: 2/5 or 7/8? (a) 7/8 (b) 2/5 (c) They are equal
  18. 18.What is the average of all the whole numbers from 43 to 67? (a) 56 (b) 12 (c) 24 (d) 55
  19. 19.Every pair follows the same rule: 2 : 14, 5 : 35, 8 : 56. What is 3 : ? (a) 15 (b) 21 (c) 22 (d) 20
  20. 20.If 5 mangoes cost ₹20, how much do 2 mangoes cost? (a) ₹12 (b) ₹40 (c) ₹8 (d) ₹17
  21. 21.Two ribbons are 56 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 504 cm (c) 1 cm (d) 56 cm
  22. 22.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 10 (c) 5 (d) 20
  23. 23.Which fraction is greater: 3/11 or 1/4? (a) 1/4 (b) 3/11 (c) They are equal
  24. 24.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  25. 25.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 50 sq cm (d) 154 sq cm
  26. 26.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 126 cm (c) 10 cm (d) 20 cm
  27. 27.The simple interest on ₹5500 for 2 years is ₹220. What is the rate per year? (a) 4% (b) 3% (c) 1% (d) 2%
  28. 28.Two ribbons are 20 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 4 cm (c) 12 cm (d) 20 cm
  29. 29.What is the remainder when 486 is divided by 8? (a) 2 (b) 5 (c) 7 (d) 6
  30. 30.Every pair follows the same rule: 5 : 24, 7 : 48, 8 : 63. What is 2 : ? (a) 4 (b) 2 (c) 21 (d) 3
  31. 31.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 80 (b) 65 (c) 62 (d) 21
  32. 32.If 25 November is a Friday, what day of the week is 13 December? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  33. 33.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 21 (b) 30 (c) 60 (d) 90
  34. 34.If 7x − 13 = 8, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  35. 35.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 26 cm (c) 28 cm (d) 24 cm
  36. 36.₹6500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹1040 (b) ₹7020 (c) ₹8060 (d) ₹7540
  37. 37.What is 15% of 460? (a) 391 (b) 690 (c) 69 (d) 138
  38. 38.What is the units digit of 9^11? (a) 9 (b) 8 (c) 7 (d) 1
  39. 39.8.02 + 6.6 = ? (a) 8.68 (b) 14.52 (c) 14.62 (d) 14.72
  40. 40.What is the average of 29, 35, 51, 59, 47 and 43? (a) 46 (b) 45 (c) 43 (d) 44

Answer key

  1. 71
  2. 20%
  3. 121 sq cm
  4. 56
  5. 8
  6. 56 min
  7. 3
  8. 40
  9. 34 sq cm
  10. 5
  11. 32
  12. 4
  13. 8
  14. 3 years
  15. 36
  16. 24
  17. 7/8
  18. 55
  19. 21
  20. ₹8
  21. 7 cm
  22. 10
  23. 3/11
  24. 81 sq cm
  25. 154 sq cm
  26. 10 cm
  27. 2%
  28. 4 cm
  29. 6
  30. 3
  31. 80
  32. Tuesday
  33. 30
  34. 3
  35. 28 cm
  36. ₹7540
  37. 69
  38. 9
  39. 14.62
  40. 44

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