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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 1 · 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.Which fraction is greater: 2/3 or 1/12? (a) 2/3 (b) They are equal (c) 1/12
  2. 2.If 12 January is a Thursday, what day of the week is 15 February? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
  3. 3.If 7 pens cost ₹119, how much do 3 pens cost? (a) ₹357 (b) ₹115 (c) ₹68 (d) ₹51
  4. 4.What is 10% of 60? (a) 60 (b) 6 (c) 12 (d) 54
  5. 5.What is 20% of 200? (a) 160 (b) 40 (c) 400 (d) 80
  6. 6.If 3x − 26 = 4, what is x? (a) 30 (b) 10 (c) 11 (d) 9
  7. 7.₹4500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹6525 (b) ₹1620 (c) ₹4905 (d) ₹6120
  8. 8.If 16 October is a Monday, what day of the week is 15 November? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
  9. 9.What is the remainder when 329 is divided by 5? (a) 1 (b) 3 (c) 2 (d) 4
  10. 10.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 4 : ? (a) 15 (b) 16 (c) 17 (d) 5
  11. 11.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 50 sq cm (c) 60 sq cm (d) 30 sq cm
  12. 12.A bag marked ₹1360 is sold at a 25% discount. What is its selling price? (a) ₹340 (b) ₹1335 (c) ₹1020 (d) ₹1700
  13. 13.What is the average of 75, 51, 65, 69 and 65? (a) 66 (b) 64 (c) 65 (d) 67
  14. 14.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 17 days (d) 25 days
  15. 15.What is 2/3 of 21? (a) 14 (b) 21 (c) 7 (d) 15
  16. 16.₹120 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹75 (b) ₹45 (c) ₹60 (d) ₹15
  17. 17.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) 120 (d) 240
  18. 18.Every pair follows the same rule: 6 : 17, 8 : 23, 9 : 26. What is 2 : ? (a) 4 (b) 6 (c) 5 (d) 13
  19. 19.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  21. 21.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 40 (b) 75 (c) 150 (d) 375
  22. 22.If 5x + 7 = 17, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  23. 23.Which is the smallest: 0.2, 0.123, 0.26, 0.055? (a) 0.2 (b) 0.123 (c) 0.26 (d) 0.055
  24. 24.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 65 (b) 20 (c) 77 (d) 61
  25. 25.In how many years will ₹1000 earn ₹180 simple interest at 6% per year? (a) 6 years (b) 3 years (c) 2 years (d) 4 years
  26. 26.If 9x − 1 = 71, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  27. 27.If 20 April is a Friday, what day of the week is 7 May? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  28. 28.Every pair follows the same rule: 4 : 11, 6 : 17, 8 : 23. What is 3 : ? (a) 7 (b) 10 (c) 8 (d) 9
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  30. 30.A shopkeeper buys a toy for ₹880 and sells it for ₹1232. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
  31. 31.2/6 + 1/5 = ? (a) 17/30 (b) 1/2 (c) 3/11 (d) 8/15
  32. 32.Which fraction is greater: 1/9 or 5/8? (a) They are equal (b) 1/9 (c) 5/8
  33. 33.Every pair follows the same rule: 4 : 6, 5 : 8, 9 : 16. What is 7 : ? (a) 12 (b) 11 (c) 9 (d) 13
  34. 34.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 64 sq cm (c) 32 sq cm (d) 260 sq cm
  35. 35.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹585 (b) ₹690 (c) ₹90 (d) ₹510
  36. 36.If 12 June is a Monday, what day of the week is 14 July? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  37. 37.What is the remainder when 398 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
  38. 38.If 5x − 3 = 57, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  39. 39.If 8 mangoes cost ₹152, how much do 7 mangoes cost? (a) ₹133 (b) ₹152 (c) ₹1064 (d) ₹151
  40. 40.6/8 + 1/4 = ? (a) 9/8 (b) 7/12 (c) 7/8 (d) 1

Answer key

  1. 2/3
  2. Wednesday
  3. ₹51
  4. 6
  5. 40
  6. 10
  7. ₹6120
  8. Wednesday
  9. 4
  10. 15
  11. 50 sq cm
  12. ₹1020
  13. 65
  14. 9 days
  15. 14
  16. ₹75
  17. 60
  18. 5
  19. 42 cm
  20. 25 sq cm
  21. 75
  22. 2
  23. 0.055
  24. 77
  25. 3 years
  26. 8
  27. Monday
  28. 8
  29. 225 sq cm
  30. 40%
  31. 8/15
  32. 5/8
  33. 12
  34. 240 sq cm
  35. ₹510
  36. Friday
  37. 3
  38. 12
  39. ₹133
  40. 1

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