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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 631 · 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.If 11 March is a Wednesday, what day of the week is 23 March? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  2. 2.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 62 sq cm (c) 31 sq cm (d) 220 sq cm
  3. 3.A teacher has 12 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 3 (c) 12 (d) 1
  4. 4.What is the average of 41, 58, 51, 47, 47 and 38? (a) 47 (b) 49 (c) 48 (d) 46
  5. 5.Which fraction is greater: 1/3 or 5/9? (a) 1/3 (b) They are equal (c) 5/9
  6. 6.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 94 (c) 40 (d) 70
  7. 7.What is the remainder when 177 is divided by 9? (a) 5 (b) 7 (c) 3 (d) 6
  8. 8.Every pair follows the same rule: 2 : 18, 3 : 27, 5 : 45. What is 9 : ? (a) 80 (b) 81 (c) 82 (d) 25
  9. 9.If 5 July is a Sunday, what day of the week is 19 July? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  10. 10.₹6000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹6360 (b) ₹7080 (c) ₹1080 (d) ₹7440
  11. 11.Every pair follows the same rule: 2 : 3, 4 : 15, 7 : 48. What is 6 : ? (a) 7 (b) 37 (c) 35 (d) 36
  12. 12.What is 1/2 of 14? (a) 8 (b) 14 (c) 6 (d) 7
  13. 13.If 8x + 2 = 122, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  14. 14.Which of these numbers is divisible by 4? (a) 1648 (b) 1655 (c) 1649 (d) 1646
  15. 15.Every pair follows the same rule: 5 : 27, 6 : 38, 7 : 51. What is 3 : ? (a) 12 (b) 11 (c) 25 (d) 10
  16. 16.Every pair follows the same rule: 5 : 25, 8 : 64, 9 : 81. What is 3 : ? (a) 23 (b) 9 (c) 15 (d) 10
  17. 17.The simple interest on ₹6500 for 2 years is ₹910. What is the rate per year? (a) 7% (b) 8% (c) 14% (d) 6%
  18. 18.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 2 : ? (a) 9 (b) 18 (c) 8 (d) 26
  19. 19.6 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 8 days (c) 16 days (d) 15 days
  20. 20.What is 7/8 of 96? (a) 12 (b) 85 (c) 96 (d) 84
  21. 21.If 5 July is a Saturday, what day of the week is 19 July? (a) Friday (b) Monday (c) Sunday (d) Saturday
  22. 22.Which of these numbers is divisible by 6? (a) 1673 (b) 1662 (c) 1663 (d) 1658
  23. 23.Every pair follows the same rule: 6 : 35, 8 : 63, 9 : 80. What is 7 : ? (a) 46 (b) 48 (c) 36 (d) 49
  24. 24.If 10 June is a Monday, what day of the week is 18 July? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  25. 25.7.51 + 6.1 = ? (a) 13.61 (b) 8.12 (c) 13.71 (d) 13.51
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 52 sq cm (c) 17 sq cm (d) 34 sq cm
  27. 27.If 6x + 6 = 2x + 46, what is x? (a) 5 (b) 11 (c) 10 (d) 13
  28. 28.What is the smallest number you must add to 359 to make it divisible by 5? (a) 4 (b) 3 (c) 1 (d) 2
  29. 29.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 10 days (d) 4 days
  30. 30.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 43 days (c) 8 days (d) 42 days
  31. 31.If 7 notebooks cost ₹168, how much do 2 notebooks cost? (a) ₹163 (b) ₹336 (c) ₹72 (d) ₹48
  32. 32.If 8 pens cost ₹136, how much do 2 pens cost? (a) ₹51 (b) ₹34 (c) ₹272 (d) ₹130
  33. 33.What is the average of all the whole numbers from 20 to 42? (a) 31 (b) 22 (c) 32 (d) 11
  34. 34.A bag marked ₹360 is sold at a 30% discount. What is its selling price? (a) ₹108 (b) ₹252 (c) ₹468 (d) ₹330
  35. 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 56 sq cm (d) 30 sq cm
  36. 36.What is the average of all the whole numbers from 21 to 27? (a) 25 (b) 24 (c) 3 (d) 6
  37. 37.If 2x + 3 = 21, what is x? (a) 10 (b) 18 (c) 12 (d) 9
  38. 38.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 33 (b) 51 (c) 26 (d) 8
  39. 39.If 4x + 3 = x + 33, what is x? (a) 6 (b) 10 (c) 11 (d) 12
  40. 40.In how many years will ₹7000 earn ₹630 simple interest at 3% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years

Answer key

  1. Monday
  2. 220 sq cm
  3. 3
  4. 47
  5. 5/9
  6. 94
  7. 6
  8. 81
  9. Sunday
  10. ₹7080
  11. 35
  12. 7
  13. 15
  14. 1648
  15. 11
  16. 9
  17. 7%
  18. 8
  19. 15 days
  20. 84
  21. Saturday
  22. 1662
  23. 48
  24. Thursday
  25. 13.61
  26. 52 sq cm
  27. 10
  28. 1
  29. 14 days
  30. 42 days
  31. ₹48
  32. ₹34
  33. 31
  34. ₹252
  35. 56 sq cm
  36. 24
  37. 9
  38. 33
  39. 10
  40. 3 years

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