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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 611 · 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.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹360 (b) ₹280 (c) ₹200 (d) ₹40
  2. 2.If 6x + 1 = 73, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  3. 3.In how many years will ₹2000 earn ₹600 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  4. 4.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 19 days (c) 4 days (d) 49 days
  5. 5.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 9 (b) 27 (c) 3 (d) 12
  6. 6.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 57 (b) 61 (c) 35 (d) 31
  7. 7.A teacher has 4 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 14 (d) 2
  8. 8.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 7 cm (d) 6 cm
  9. 9.What is 10% of 980? (a) 980 (b) 98 (c) 196 (d) 882
  10. 10.What is the remainder when 174 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
  11. 11.If 7x − 46 = 24, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  12. 12.Every pair follows the same rule: 7 : 28, 8 : 32, 9 : 36. What is 2 : ? (a) 23 (b) 9 (c) 7 (d) 8
  13. 13.What is 2/3 of 9? (a) 3 (b) 6 (c) 9 (d) 7
  14. 14.What is the simple interest on ₹7500 at 2% per year for 2 years? (a) ₹300 (b) ₹450 (c) ₹150 (d) ₹7800
  15. 15.Every pair follows the same rule: 3 : 7, 6 : 13, 9 : 19. What is 4 : ? (a) 8 (b) 10 (c) 11 (d) 9
  16. 16.If 14 March is a Saturday, what day of the week is 15 April? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  17. 17.If 7x + 14 = 42, what is x? (a) 4 (b) 28 (c) 5 (d) 8
  18. 18.Every pair follows the same rule: 2 : 10, 7 : 55, 8 : 70. What is 9 : ? (a) 17 (b) 87 (c) 45 (d) 85
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  20. 20.The simple interest on ₹3500 for 2 years is ₹490. What is the rate per year? (a) 6% (b) 7% (c) 8% (d) 14%
  21. 21.A teacher has 18 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 63 (c) 3 (d) 9
  22. 22.The simple interest on ₹8500 for 3 years is ₹3060. What is the rate per year? (a) 12% (b) 36% (c) 13% (d) 11%
  23. 23.What is the simple interest on ₹7000 at 12% per year for 5 years? (a) ₹11200 (b) ₹840 (c) ₹5040 (d) ₹4200
  24. 24.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  25. 25.If 27 June is a Saturday, what day of the week is 8 July? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  26. 26.The simple interest on ₹6500 for 4 years is ₹3120. What is the rate per year? (a) 11% (b) 12% (c) 13% (d) 48%
  27. 27.Which of these numbers is divisible by 4? (a) 1959 (b) 1953 (c) 1949 (d) 1952
  28. 28.In how many years will ₹6000 earn ₹480 simple interest at 2% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
  29. 29.If 8x − 27 = 93, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  30. 30.What is the simple interest on ₹10000 at 2% per year for 4 years? (a) ₹800 (b) ₹200 (c) ₹1000 (d) ₹10800
  31. 31.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 6 (b) 217 (c) 216 (d) 174
  32. 32.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 180 (c) 270 (d) 90
  33. 33.If 12 January is a Thursday, what day of the week is 20 January? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  34. 34.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 60 (c) 70 (d) 20
  35. 35.If x/6 + 13 = 25, what is x? (a) 12 (b) 137 (c) 228 (d) 72
  36. 36.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 24 (c) 53 (d) 61
  37. 37.1/3 + 3/5 = ? (a) 13/15 (b) 1 (c) 1/2 (d) 14/15
  38. 38.What is the average of 18, 20, 30 and 64? (a) 33 (b) 34 (c) 44 (d) 32
  39. 39.If 9 notebooks cost ₹180, how much do 6 notebooks cost? (a) ₹177 (b) ₹140 (c) ₹1080 (d) ₹120
  40. 40.If 6x + 10 = 5x + 17, what is x? (a) 9 (b) 27 (c) 7 (d) 8

Answer key

  1. ₹360
  2. 12
  3. 3 years
  4. 49 days
  5. 27
  6. 61
  7. 2
  8. 6 cm
  9. 98
  10. 4
  11. 10
  12. 8
  13. 6
  14. ₹300
  15. 9
  16. Wednesday
  17. 4
  18. 87
  19. 81 sq cm
  20. 7%
  21. 9
  22. 12%
  23. ₹4200
  24. 25%
  25. Wednesday
  26. 12%
  27. 1952
  28. 4 years
  29. 15
  30. ₹800
  31. 216
  32. 90
  33. Friday
  34. 70
  35. 72
  36. 53
  37. 14/15
  38. 33
  39. ₹120
  40. 7

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