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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 630 · 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. 1.4 workers can build a wall in 15 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 17 days (c) 11 days (d) 13 days
  2. 2.If 28 May is a Friday, what day of the week is 4 June? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  3. 3.What is the units digit of 2^15? (a) 2 (b) 4 (c) 8 (d) 6
  4. 4.A bag marked ₹1640 is sold at a 25% discount. What is its selling price? (a) ₹2050 (b) ₹1615 (c) ₹1230 (d) ₹410
  5. 5.What is the average of all the whole numbers from 31 to 69? (a) 51 (b) 50 (c) 19 (d) 38
  6. 6.A shopkeeper buys a toy for ₹500 and sells it for ₹575. What is his profit percent? (a) 75% (b) 20% (c) 10% (d) 15%
  7. 7.If 6 notebooks cost ₹66, how much do 3 notebooks cost? (a) ₹44 (b) ₹33 (c) ₹63 (d) ₹198
  8. 8.Every pair follows the same rule: 2 : 2, 6 : 34, 7 : 47. What is 4 : ? (a) 14 (b) 15 (c) 4 (d) 8
  9. 9.If 5x − 19 = 1, what is x? (a) 20 (b) 4 (c) 3 (d) 5
  10. 10.If 4 mangoes cost ₹40, how much do 8 mangoes cost? (a) ₹90 (b) ₹44 (c) ₹320 (d) ₹80
  11. 11.Which of these numbers is divisible by 8? (a) 3023 (b) 3024 (c) 3033 (d) 3025
  12. 12.If x/2 + 8 = 15, what is x? (a) 14 (b) 7 (c) 46 (d) 22
  13. 13.If 2x + 1 = 15, what is x? (a) 7 (b) 14 (c) 6 (d) 8
  14. 14.If 3 January is a Thursday, what day of the week is 14 January? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  16. 16.₹315 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹90 (b) ₹225 (c) ₹270 (d) ₹45
  17. 17.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 52 cm
  18. 18.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 28 (b) 27 (c) 3 (d) 47
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  20. 20.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 50% (b) 15% (c) 5% (d) 10%
  21. 21.Today is Thursday. What day of the week will it be after 26 days? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  22. 22.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 84 (b) 252 (c) 33 (d) 168
  23. 23.What is the value of the digit 9 in 13.492? (a) 0.009 (b) 0.09 (c) 0.9 (d) 9
  24. 24.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 16 (c) 60 (d) 30
  25. 25.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 72 (c) 36 (d) 30
  26. 26.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 14 (b) 21 (c) 40 (d) 20
  27. 27.If 5x + 1 = 4x + 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  28. 28.Which is the smallest: 0.313, 0.41, 0.084, 0.4? (a) 0.313 (b) 0.41 (c) 0.084 (d) 0.4
  29. 29.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
  30. 30.The simple interest on ₹6500 for 3 years is ₹1560. What is the rate per year? (a) 9% (b) 8% (c) 24% (d) 7%
  31. 31.What is 4/5 of 15? (a) 13 (b) 12 (c) 15 (d) 3
  32. 32.A teacher has 77 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 77 (b) 1 (c) 11 (d) 22
  33. 33.In how many years will ₹1500 earn ₹525 simple interest at 7% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years
  34. 34.1/3 + 2/7 = ? (a) 2/3 (b) 3/10 (c) 13/21 (d) 4/7
  35. 35.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 10% (b) 15% (c) 16% (d) 20%
  36. 36.The simple interest on ₹3000 for 5 years is ₹1500. What is the rate per year? (a) 50% (b) 11% (c) 10% (d) 9%
  37. 37.What is the value of the digit 8 in 64.285? (a) 8 (b) 0.008 (c) 0.8 (d) 0.08
  38. 38.What is the remainder when 193 is divided by 3? (a) 1 (b) 0 (c) 2
  39. 39.Every pair follows the same rule: 6 : 15, 7 : 16, 8 : 17. What is 4 : ? (a) 15 (b) 12 (c) 13 (d) 14
  40. 40.Every pair follows the same rule: 2 : 4, 5 : 10, 9 : 18. What is 3 : ? (a) 5 (b) 7 (c) 8 (d) 6

Answer key

  1. 10 days
  2. Friday
  3. 8
  4. ₹1230
  5. 50
  6. 15%
  7. ₹33
  8. 14
  9. 4
  10. ₹80
  11. 3024
  12. 14
  13. 7
  14. Monday
  15. 64 sq cm
  16. ₹225
  17. 5 cm
  18. 27
  19. 225 sq cm
  20. 10%
  21. Tuesday
  22. 84
  23. 0.09
  24. 30
  25. 36
  26. 20
  27. 2
  28. 0.084
  29. 30 cm
  30. 8%
  31. 12
  32. 11
  33. 5 years
  34. 13/21
  35. 15%
  36. 10%
  37. 0.08
  38. 1
  39. 13
  40. 6

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