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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 446 · 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 15% of 240? (a) 72 (b) 36 (c) 204 (d) 360
  2. 2.If 7 pens cost ₹28, how much do 10 pens cost? (a) ₹44 (b) ₹280 (c) ₹40 (d) ₹31
  3. 3.In how many years will ₹10000 earn ₹1000 simple interest at 5% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
  4. 4.4.57 + 1.9 = ? (a) 4.76 (b) 6.57 (c) 6.37 (d) 6.47
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  6. 6.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 25 days (d) 9 days
  7. 7.What is the smallest number you must add to 109 to make it divisible by 6? (a) 1 (b) 5 (c) 4 (d) 3
  8. 8.The simple interest on ₹2500 for 3 years is ₹150. What is the rate per year? (a) 1% (b) 3% (c) 6% (d) 2%
  9. 9.If 24 October is a Friday, what day of the week is 2 November? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  10. 10.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
  11. 11.Every pair follows the same rule: 2 : 7, 3 : 12, 7 : 32. What is 9 : ? (a) 41 (b) 43 (c) 42 (d) 14
  12. 12.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 33 (c) 1 (d) 11
  13. 13.What is the average of 63, 77, 77 and 63? (a) 69 (b) 70 (c) 72 (d) 71
  14. 14.Every pair follows the same rule: 3 : 11, 6 : 23, 9 : 35. What is 7 : ? (a) 28 (b) 26 (c) 15 (d) 27
  15. 15.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 180 (b) 27 (c) 60 (d) 120
  16. 16.2/4 + 3/8 = ? (a) 7/8 (b) 3/4 (c) 5/12 (d) 1
  17. 17.What is the average of 29, 26, 42, 20 and 28? (a) 28 (b) 29 (c) 30 (d) 31
  18. 18.If 4 notebooks cost ₹84, how much do 11 notebooks cost? (a) ₹924 (b) ₹231 (c) ₹252 (d) ₹91
  19. 19.A shopkeeper buys a toy for ₹560 and sells it for ₹448. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  20. 20.A teacher has 21 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 1 (c) 3 (d) 6
  21. 21.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹108 (b) ₹126 (c) ₹90 (d) ₹18
  22. 22.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 64 days (c) 21 days (d) 63 days
  23. 23.Which is the greatest: 0.416, 0.55, 0.014, 0.5? (a) 0.416 (b) 0.55 (c) 0.014 (d) 0.5
  24. 24.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 35 (c) 32 (d) 63
  25. 25.Two ribbons are 70 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 70 cm (b) 560 cm (c) 5 cm (d) 10 cm
  26. 26.What is the remainder when 587 is divided by 10? (a) 8 (b) 3 (c) 6 (d) 7
  27. 27.The simple interest on ₹9000 for 4 years is ₹2520. What is the rate per year? (a) 7% (b) 6% (c) 8% (d) 28%
  28. 28.Which fraction is greater: 1/6 or 1/4? (a) 1/4 (b) They are equal (c) 1/6
  29. 29.If 23 August is a Saturday, what day of the week is 15 September? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  30. 30.4.07 + 2.8 = ? (a) 6.77 (b) 6.87 (c) 4.35 (d) 6.97
  31. 31.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 28 (b) 68 (c) 36 (d) 60
  32. 32.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 16%
  33. 33.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 60 (b) 53 (c) 47 (d) 101
  34. 34.₹440 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹220 (b) ₹360 (c) ₹80 (d) ₹40
  35. 35.A teacher has 22 pencils and 33 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 1 (c) 66 (d) 11
  36. 36.A bag marked ₹1180 is sold at a 30% discount. What is its selling price? (a) ₹1534 (b) ₹826 (c) ₹1150 (d) ₹354
  37. 37.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 43 (c) 26 (d) 32
  38. 38.If x/2 + 8 = 16, what is x? (a) 8 (b) 24 (c) 16 (d) 48
  39. 39.Every pair follows the same rule: 2 : 3, 6 : 23, 8 : 33. What is 9 : ? (a) 39 (b) 10 (c) 37 (d) 38
  40. 40.What is the average of 64, 72, 50 and 54? (a) 59 (b) 80 (c) 60 (d) 61

Answer key

  1. 36
  2. ₹40
  3. 2 years
  4. 6.47
  5. 144 sq cm
  6. 25 days
  7. 5
  8. 2%
  9. Sunday
  10. 24 cm
  11. 42
  12. 11
  13. 70
  14. 27
  15. 60
  16. 7/8
  17. 29
  18. ₹231
  19. 20%
  20. 3
  21. ₹126
  22. 63 days
  23. 0.55
  24. 63
  25. 10 cm
  26. 7
  27. 7%
  28. 1/4
  29. Monday
  30. 6.87
  31. 60
  32. 15%
  33. 101
  34. ₹360
  35. 11
  36. ₹826
  37. 43
  38. 16
  39. 38
  40. 60

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