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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 806 · 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.Every pair follows the same rule: 3 : 7, 6 : 34, 8 : 62. What is 2 : ? (a) 3 (b) 2 (c) 1 (d) 6
  2. 2.Every pair follows the same rule: 5 : 15, 6 : 18, 9 : 27. What is 2 : ? (a) 12 (b) 6 (c) 7 (d) 5
  3. 3.What is the value of the digit 1 in 61.975? (a) 1 (b) 10 (c) 0.1 (d) 0.01
  4. 4.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  5. 5.If 4 mangoes cost ₹24, how much do 6 mangoes cost? (a) ₹26 (b) ₹42 (c) ₹144 (d) ₹36
  6. 6.Every pair follows the same rule: 2 : 9, 4 : 11, 7 : 14. What is 6 : ? (a) 12 (b) 13 (c) 15 (d) 14
  7. 7.If 6x − 11 = 7, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  8. 8.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 7 days (c) 11 days (d) 10 days
  9. 9.If 20 March is a Friday, what day of the week is 9 April? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  10. 10.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 59 (c) 91 (d) 40
  11. 11.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 112 min (c) 22 min (d) 2 min
  12. 12.What is 25% of 520? (a) 130 (b) 390 (c) 260 (d) 1300
  13. 13.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 44 cm (c) 5 cm (d) 10 cm
  14. 14.If 4x + 4 = 16, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  15. 15.1/5 + 1/4 = ? (a) 1/2 (b) 2/9 (c) 9/20 (d) 2/5
  16. 16.What is the smallest number you must add to 442 to make it divisible by 8? (a) 6 (b) 5 (c) 7 (d) 2
  17. 17.A bag marked ₹1160 is sold at a 50% discount. What is its selling price? (a) ₹1740 (b) ₹1110 (c) ₹581 (d) ₹580
  18. 18.If 25 September is a Tuesday, what day of the week is 13 October? (a) Monday (b) Saturday (c) Sunday (d) Friday
  19. 19.₹27 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹19 (b) ₹18 (c) ₹27 (d) ₹9
  20. 20.What is the average of 67, 69, 76, 81, 89 and 98? (a) 79 (b) 80 (c) 96 (d) 81
  21. 21.Every pair follows the same rule: 2 : 14, 4 : 22, 9 : 42. What is 3 : ? (a) 15 (b) 21 (c) 19 (d) 18
  22. 22.Which is the greatest: 0.319, 0.062, 0.4, 0.48? (a) 0.319 (b) 0.062 (c) 0.4 (d) 0.48
  23. 23.The simple interest on ₹1000 for 3 years is ₹300. What is the rate per year? (a) 11% (b) 30% (c) 10% (d) 9%
  24. 24.₹5000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹6350 (b) ₹900 (c) ₹5900 (d) ₹5450
  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) 72 (b) 30 (c) 216 (d) 36
  26. 26.What is 40% of 600? (a) 240 (b) 2400 (c) 360 (d) 480
  27. 27.What is the smallest number you must add to 217 to make it divisible by 6? (a) 4 (b) 5 (c) 1 (d) 3
  28. 28.8.57 + 3.8 = ? (a) 12.27 (b) 12.47 (c) 12.37 (d) 8.95
  29. 29.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 21 (c) 20 (d) 76
  30. 30.Which fraction is greater: 1/3 or 2/11? (a) They are equal (b) 1/3 (c) 2/11
  31. 31.1.41 + 1.2 = ? (a) 1.53 (b) 2.51 (c) 2.71 (d) 2.61
  32. 32.If 7 mangoes cost ₹63, how much do 10 mangoes cost? (a) ₹630 (b) ₹66 (c) ₹90 (d) ₹99
  33. 33.In how many years will ₹8500 earn ₹4675 simple interest at 11% per year? (a) 4 years (b) 5 years (c) 10 years (d) 6 years
  34. 34.What is the average of 28, 37, 35, 42, 24 and 38? (a) 33 (b) 34 (c) 36 (d) 35
  35. 35.Today is Saturday. What day of the week will it be after 42 days? (a) Friday (b) Sunday (c) Saturday (d) Monday
  36. 36.What is 2/9 of 90? (a) 20 (b) 70 (c) 30 (d) 10
  37. 37.What is the average of all the whole numbers from 46 to 64? (a) 55 (b) 9 (c) 18 (d) 56
  38. 38.₹190 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹171 (b) ₹95 (c) ₹190 (d) ₹19
  39. 39.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 50 (c) 68 (d) 108
  40. 40.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 7 days (c) 11 days (d) 15 days

Answer key

  1. 2
  2. 6
  3. 1
  4. 30%
  5. ₹36
  6. 13
  7. 3
  8. 10 days
  9. Thursday
  10. 91
  11. 56 min
  12. 130
  13. 5 cm
  14. 3
  15. 9/20
  16. 6
  17. ₹580
  18. Saturday
  19. ₹18
  20. 80
  21. 18
  22. 0.48
  23. 10%
  24. ₹5900
  25. 36
  26. 240
  27. 5
  28. 12.37
  29. 20
  30. 1/3
  31. 2.61
  32. ₹90
  33. 5 years
  34. 34
  35. Saturday
  36. 20
  37. 55
  38. ₹171
  39. 108
  40. 15 days

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