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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 546 · 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 value of the digit 2 in 68.239? (a) 2 (b) 0.02 (c) 0.2 (d) 0.002
  2. 2.What is 75% of 140? (a) 35 (b) 210 (c) 1050 (d) 105
  3. 3.If 4x + 3 = 51, what is x? (a) 48 (b) 11 (c) 13 (d) 12
  4. 4.If 5x − 4 = 41, what is x? (a) 45 (b) 9 (c) 8 (d) 10
  5. 5.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 50 sq cm (c) 136 sq cm (d) 25 sq cm
  6. 6.If 21 April is a Tuesday, what day of the week is 7 May? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  7. 7.Which of these numbers is divisible by 4? (a) 1962 (b) 1964 (c) 1971 (d) 1966
  8. 8.Every pair follows the same rule: 4 : 12, 5 : 15, 8 : 24. What is 6 : ? (a) 18 (b) 14 (c) 17 (d) 19
  9. 9.What is the average of 63, 76, 76 and 69? (a) 71 (b) 70 (c) 72 (d) 73
  10. 10.1.01 + 3.9 = ? (a) 4.81 (b) 1.4 (c) 4.91 (d) 5.01
  11. 11.1/3 + 1/3 = ? (a) 1 (b) 4/3 (c) 2/3 (d) 1/3
  12. 12.What is the units digit of 7^18? (a) 7 (b) 3 (c) 9 (d) 1
  13. 13.What is the value of the digit 1 in 12.548? (a) 10 (b) 0.1 (c) 0.01 (d) 1
  14. 14.The simple interest on ₹6000 for 2 years is ₹1440. What is the rate per year? (a) 13% (b) 12% (c) 11% (d) 24%
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 5% (b) 10% (c) 30% (d) 6%
  16. 16.Which of these numbers is divisible by 4? (a) 1310 (b) 1305 (c) 1304 (d) 1303
  17. 17.What is the simple interest on ₹1000 at 10% per year for 5 years? (a) ₹1500 (b) ₹600 (c) ₹500 (d) ₹100
  18. 18.What is 2/3 of 36? (a) 25 (b) 12 (c) 24 (d) 36
  19. 19.The simple interest on ₹6500 for 3 years is ₹1950. What is the rate per year? (a) 30% (b) 10% (c) 9% (d) 11%
  20. 20.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 90 sq cm (d) 108 sq cm
  21. 21.What is 3/8 of 96? (a) 12 (b) 48 (c) 36 (d) 60
  22. 22.₹517 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹141 (b) ₹47 (c) ₹423 (d) ₹376
  23. 23.What is the value of the digit 7 in 75.248? (a) 7 (b) 0.7 (c) 0.07 (d) 70
  24. 24.Which of these numbers is divisible by 9? (a) 2531 (b) 2518 (c) 2525 (d) 2520
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  26. 26.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 39 cm
  27. 27.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 9 days (d) 6 days
  28. 28.If 5 pens cost ₹35, how much do 7 pens cost? (a) ₹245 (b) ₹37 (c) ₹56 (d) ₹49
  29. 29.What is the average of all the whole numbers from 50 to 62? (a) 12 (b) 56 (c) 57 (d) 6
  30. 30.If 17 January is a Tuesday, what day of the week is 17 February? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  31. 31.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 6 min (c) 90 min (d) 540 min
  32. 32.What is the average of all the whole numbers from 31 to 49? (a) 9 (b) 18 (c) 40 (d) 41
  33. 33.What is the smallest number you must add to 258 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  34. 34.What is 60% of 820? (a) 4920 (b) 492 (c) 984 (d) 328
  35. 35.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 26 (b) 85 (c) 84 (d) 168
  36. 36.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 14 (c) 46 (d) 66
  37. 37.Which of these numbers is divisible by 9? (a) 2227 (b) 2223 (c) 2235 (d) 2219
  38. 38.Every pair follows the same rule: 3 : 6, 4 : 8, 5 : 10. What is 8 : ? (a) 17 (b) 16 (c) 11 (d) 15
  39. 39.What is the smallest number you must add to 53 to make it divisible by 3? (a) 1 (b) 2
  40. 40.A teacher has 15 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 5 (d) 60

Answer key

  1. 0.2
  2. 105
  3. 12
  4. 9
  5. 136 sq cm
  6. Thursday
  7. 1964
  8. 18
  9. 71
  10. 4.91
  11. 2/3
  12. 9
  13. 10
  14. 12%
  15. 5%
  16. 1304
  17. ₹500
  18. 24
  19. 10%
  20. 90 sq cm
  21. 36
  22. ₹376
  23. 70
  24. 2520
  25. 64 sq cm
  26. 4 cm
  27. 5 days
  28. ₹49
  29. 56
  30. Friday
  31. 90 min
  32. 40
  33. 2
  34. 492
  35. 84
  36. 46
  37. 2223
  38. 16
  39. 1
  40. 5

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