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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 319 · 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 average of 50, 39, 44, 65, 41 and 61? (a) 49 (b) 60 (c) 51 (d) 50
  2. 2.What is 2/9 of 27? (a) 3 (b) 6 (c) 21 (d) 9
  3. 3.What is 20% of 120? (a) 240 (b) 24 (c) 48 (d) 96
  4. 4.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 30 min (c) 5 min (d) 25 min
  5. 5.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 72 (b) 6 (c) 24 (d) 12
  6. 6.What is the value of the digit 5 in 48.952? (a) 0.005 (b) 0.5 (c) 0.05 (d) 5
  7. 7.The simple interest on ₹4500 for 2 years is ₹360. What is the rate per year? (a) 3% (b) 5% (c) 8% (d) 4%
  8. 8.What is the average of all the whole numbers from 53 to 69? (a) 16 (b) 8 (c) 62 (d) 61
  9. 9.If 8x + 13 = 133, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  10. 10.What is the average of 59, 36, 61, 36 and 63? (a) 52 (b) 50 (c) 53 (d) 51
  11. 11.What is the value of the digit 1 in 56.891? (a) 1 (b) 0.1 (c) 0.01 (d) 0.001
  12. 12.What is the value of the digit 4 in 74.125? (a) 0.04 (b) 4 (c) 40 (d) 0.4
  13. 13.If 4x + 4 = 16, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  14. 14.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 15% (b) 80% (c) 25% (d) 20%
  15. 15.What is the average of 20, 16, 25, 13, 41 and 47? (a) 29 (b) 27 (c) 26 (d) 28
  16. 16.What is 1/4 of 8? (a) 6 (b) 4 (c) 3 (d) 2
  17. 17.What is the average of all the whole numbers from 28 to 64? (a) 47 (b) 36 (c) 46 (d) 18
  18. 18.What is the units digit of 3^33? (a) 9 (b) 7 (c) 1 (d) 3
  19. 19.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 12 cm (d) 11 cm
  20. 20.Every pair follows the same rule: 2 : 10, 4 : 18, 8 : 34. What is 9 : ? (a) 17 (b) 45 (c) 39 (d) 38
  21. 21.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 30 (c) 59 (d) 32
  22. 22.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 13 (b) 42 (c) 20 (d) 12
  23. 23.What is 50% of 160? (a) 81 (b) 800 (c) 80 (d) 160
  24. 24.What is 10% of 340? (a) 306 (b) 340 (c) 34 (d) 68
  25. 25.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 9 days (d) 10 days
  26. 26.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  27. 27.In how many years will ₹10000 earn ₹1500 simple interest at 5% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
  28. 28.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 22 sq cm (d) 26 sq cm
  29. 29.Which of these numbers is divisible by 9? (a) 3174 (b) 3163 (c) 3168 (d) 3179
  30. 30.4.87 + 3.4 = ? (a) 8.17 (b) 5.21 (c) 8.37 (d) 8.27
  31. 31.A bag marked ₹720 is sold at a 30% discount. What is its selling price? (a) ₹504 (b) ₹936 (c) ₹690 (d) ₹216
  32. 32.Every pair follows the same rule: 4 : 15, 5 : 16, 6 : 17. What is 9 : ? (a) 19 (b) 20 (c) 22 (d) 21
  33. 33.₹4000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹4240 (b) ₹4960 (c) ₹4720 (d) ₹720
  34. 34.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 8 : ? (a) 16 (b) 65 (c) 10 (d) 64
  35. 35.The simple interest on ₹5000 for 4 years is ₹800. What is the rate per year? (a) 5% (b) 4% (c) 16% (d) 3%
  36. 36.If 4x + 21 = 69, what is x? (a) 48 (b) 13 (c) 12 (d) 11
  37. 37.If 14 July is a Monday, what day of the week is 22 July? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  38. 38.If 30 August is a Friday, what day of the week is 6 September? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  39. 39.If 8 August is a Tuesday, what day of the week is 23 August? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  40. 40.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm

Answer key

  1. 50
  2. 6
  3. 24
  4. 30 min
  5. 12
  6. 0.05
  7. 4%
  8. 61
  9. 15
  10. 51
  11. 0.001
  12. 4
  13. 3
  14. 20%
  15. 27
  16. 2
  17. 46
  18. 3
  19. 11 cm
  20. 38
  21. 59
  22. 12
  23. 80
  24. 34
  25. 9 days
  26. 50%
  27. 3 years
  28. 22 sq cm
  29. 3168
  30. 8.27
  31. ₹504
  32. 20
  33. ₹4720
  34. 64
  35. 4%
  36. 12
  37. Tuesday
  38. Friday
  39. Wednesday
  40. 36 sq cm

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