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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 534 · 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 remainder when 150 is divided by 4? (a) 3 (b) 0 (c) 2 (d) 1
  2. 2.If 5x − 8 = 27, what is x? (a) 6 (b) 7 (c) 8 (d) 35
  3. 3.What is the value of the digit 8 in 85.429? (a) 8 (b) 80 (c) 0.8 (d) 0.08
  4. 4.Which is the greatest: 0.8, 0.84, 0.088, 0.737? (a) 0.8 (b) 0.84 (c) 0.088 (d) 0.737
  5. 5.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 56 cm
  6. 6.What is 4/5 of 10? (a) 10 (b) 8 (c) 2 (d) 9
  7. 7.What is the simple interest on ₹2000 at 6% per year for 5 years? (a) ₹600 (b) ₹2600 (c) ₹720 (d) ₹120
  8. 8.8.79 + 8.2 = ? (a) 16.89 (b) 16.99 (c) 17.09 (d) 9.61
  9. 9.What is the smallest number you must add to 157 to make it divisible by 8? (a) 3 (b) 2 (c) 5 (d) 4
  10. 10.What is the value of the digit 9 in 23.489? (a) 0.9 (b) 9 (c) 0.09 (d) 0.009
  11. 11.What is 25% of 40? (a) 20 (b) 10 (c) 100 (d) 30
  12. 12.Every pair follows the same rule: 7 : 42, 8 : 47, 9 : 52. What is 4 : ? (a) 28 (b) 27 (c) 24 (d) 39
  13. 13.A teacher has 60 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 60 (c) 36 (d) 6
  14. 14.In how many years will ₹2500 earn ₹625 simple interest at 5% per year? (a) 5 years (b) 4 years (c) 6 years (d) 10 years
  15. 15.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  16. 16.Today is Sunday. What day of the week will it be after 58 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  17. 17.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 378 (c) 54 (d) 9
  18. 18.If x/3 + 9 = 20, what is x? (a) 33 (b) 51 (c) 87 (d) 11
  19. 19.What is the value of the digit 8 in 81.274? (a) 0.8 (b) 0.08 (c) 8 (d) 80
  20. 20.What is 10% of 780? (a) 156 (b) 78 (c) 780 (d) 702
  21. 21.What is the units digit of 8^37? (a) 4 (b) 8 (c) 2 (d) 6
  22. 22.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 140 (b) 70 (c) 71 (d) 24
  23. 23.A bag marked ₹1860 is sold at a 50% discount. What is its selling price? (a) ₹931 (b) ₹2790 (c) ₹930 (d) ₹1810
  24. 24.What is the smallest number you must add to 202 to make it divisible by 10? (a) 2 (b) 7 (c) 8 (d) 9
  25. 25.If 7x − 59 = 11, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  26. 26.If 4x − 7 = 21, what is x? (a) 8 (b) 6 (c) 7 (d) 28
  27. 27.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 217 (b) 120 (c) 6 (d) 216
  28. 28.1/2 + 1/2 = ? (a) 1/2 (b) 1 (c) 2 (d) 3/2
  29. 29.If 9 pens cost ₹90, how much do 2 pens cost? (a) ₹83 (b) ₹180 (c) ₹20 (d) ₹30
  30. 30.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  31. 31.Which fraction is greater: 1/4 or 8/11? (a) 8/11 (b) They are equal (c) 1/4
  32. 32.What is 1/2 of 12? (a) 5 (b) 7 (c) 12 (d) 6
  33. 33.Every pair follows the same rule: 2 : 8, 3 : 12, 5 : 20. What is 8 : ? (a) 32 (b) 31 (c) 14 (d) 33
  34. 34.A shopkeeper buys a toy for ₹940 and sells it for ₹1410. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  35. 35.Every pair follows the same rule: 2 : 6, 8 : 36, 9 : 41. What is 5 : ? (a) 9 (b) 22 (c) 15 (d) 21
  36. 36.If 8 pens cost ₹160, how much do 4 pens cost? (a) ₹80 (b) ₹156 (c) ₹640 (d) ₹100
  37. 37.The simple interest on ₹6500 for 2 years is ₹650. What is the rate per year? (a) 6% (b) 4% (c) 10% (d) 5%
  38. 38.What is the simple interest on ₹10000 at 3% per year for 3 years? (a) ₹10900 (b) ₹900 (c) ₹1200 (d) ₹300
  39. 39.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹160 (b) ₹200 (c) ₹40 (d) ₹100
  40. 40.₹2000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹2120 (b) ₹2060 (c) ₹2180 (d) ₹120

Answer key

  1. 2
  2. 7
  3. 80
  4. 0.84
  5. 5 cm
  6. 8
  7. ₹600
  8. 16.99
  9. 3
  10. 0.009
  11. 10
  12. 27
  13. 12
  14. 5 years
  15. 30%
  16. Tuesday
  17. 9
  18. 33
  19. 80
  20. 78
  21. 8
  22. 70
  23. ₹930
  24. 8
  25. 10
  26. 7
  27. 216
  28. 1
  29. ₹20
  30. 50%
  31. 8/11
  32. 6
  33. 32
  34. 50%
  35. 21
  36. ₹80
  37. 5%
  38. ₹900
  39. ₹160
  40. ₹2120

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