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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 41 · 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 smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 120 (b) 32 (c) 60 (d) 240
  2. 2.What is 1/3 of 18? (a) 5 (b) 12 (c) 7 (d) 6
  3. 3.₹210 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹105 (b) ₹135 (c) ₹15 (d) ₹75
  4. 4.The simple interest on ₹2500 for 5 years is ₹750. What is the rate per year? (a) 6% (b) 5% (c) 7% (d) 30%
  5. 5.What is the value of the digit 6 in 74.368? (a) 0.06 (b) 0.6 (c) 0.006 (d) 6
  6. 6.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹1978 (b) ₹258 (c) ₹1705 (d) ₹1462
  7. 7.Two ribbons are 9 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 9 cm (c) 3 cm (d) 6 cm
  8. 8.A shopkeeper buys a toy for ₹760 and sells it for ₹1064. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  9. 9.If 2 mangoes cost ₹6, how much do 10 mangoes cost? (a) ₹14 (b) ₹60 (c) ₹33 (d) ₹30
  10. 10.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 10 cm
  11. 11.What is the average of 75, 59, 74, 62 and 40? (a) 62 (b) 63 (c) 61 (d) 64
  12. 12.A teacher has 12 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 84 (b) 2 (c) 12 (d) 1
  13. 13.In how many years will ₹9000 earn ₹1260 simple interest at 7% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
  14. 14.A shopkeeper buys a toy for ₹1000 and sells it for ₹1250. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  15. 15.What is the value of the digit 9 in 85.249? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
  16. 16.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 40 (c) 52 (d) 15
  17. 17.9.11 + 3.3 = ? (a) 9.44 (b) 12.41 (c) 12.51 (d) 12.31
  18. 18.A teacher has 6 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 6 (d) 3
  19. 19.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 2 days (c) 3 days (d) 4 days
  20. 20.What is the remainder when 402 is divided by 11? (a) 5 (b) 6 (c) 7 (d) 8
  21. 21.Which fraction is greater: 1/8 or 4/5? (a) They are equal (b) 4/5 (c) 1/8
  22. 22.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 32% (b) 5% (c) 15% (d) 10%
  23. 23.₹2000 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹700 (b) ₹2140 (c) ₹2840 (d) ₹2700
  24. 24.If 3x − 4 = 5, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  25. 25.What is the value of the digit 9 in 31.289? (a) 0.9 (b) 0.09 (c) 9 (d) 0.009
  26. 26.What is the units digit of 7^37? (a) 1 (b) 9 (c) 3 (d) 7
  27. 27.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 154 cm (c) 13 cm (d) 24 cm
  28. 28.What is 2/3 of 15? (a) 5 (b) 11 (c) 15 (d) 10
  29. 29.If x/2 + 7 = 14, what is x? (a) 14 (b) 42 (c) 21 (d) 7
  30. 30.If x/5 + 14 = 18, what is x? (a) 4 (b) 20 (c) 160 (d) 76
  31. 31.Every pair follows the same rule: 5 : 30, 7 : 42, 8 : 48. What is 4 : ? (a) 29 (b) 24 (c) 23 (d) 25
  32. 32.What is the remainder when 296 is divided by 6? (a) 2 (b) 1 (c) 4 (d) 3
  33. 33.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  34. 34.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
  35. 35.If 13 June is a Monday, what day of the week is 5 July? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  36. 36.Every pair follows the same rule: 2 : 10, 3 : 15, 9 : 45. What is 6 : ? (a) 29 (b) 31 (c) 14 (d) 30
  37. 37.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹430 (b) ₹138 (c) ₹598 (d) ₹322
  38. 38.Every pair follows the same rule: 3 : 6, 4 : 13, 8 : 61. What is 6 : ? (a) 37 (b) 9 (c) 12 (d) 33
  39. 39.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 3 min (c) 135 min (d) 24 min
  40. 40.If 28 November is a Sunday, what day of the week is 18 December? (a) Sunday (b) Friday (c) Saturday (d) Monday

Answer key

  1. 60
  2. 6
  3. ₹135
  4. 6%
  5. 0.06
  6. ₹1462
  7. 3 cm
  8. 40%
  9. ₹30
  10. 2 cm
  11. 62
  12. 2
  13. 2 years
  14. 25%
  15. 0.009
  16. 52
  17. 12.41
  18. 3
  19. 3 days
  20. 6
  21. 4/5
  22. 10%
  23. ₹2700
  24. 3
  25. 0.009
  26. 7
  27. 12 cm
  28. 10
  29. 14
  30. 20
  31. 24
  32. 2
  33. 144 sq cm
  34. 12 cm
  35. Tuesday
  36. 30
  37. ₹322
  38. 33
  39. 45 min
  40. Saturday

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