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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 21 · 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.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 66 (c) 54 (d) 60
  2. 2.What is the average of all the whole numbers from 35 to 57? (a) 22 (b) 47 (c) 11 (d) 46
  3. 3.If 7x + 14 = 2x + 29, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  4. 4.If 4 pens cost ₹16, how much do 9 pens cost? (a) ₹40 (b) ₹144 (c) ₹36 (d) ₹21
  5. 5.A teacher has 14 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 2 (d) 14
  6. 6.What is the average of all the whole numbers from 15 to 39? (a) 12 (b) 28 (c) 24 (d) 27
  7. 7.What is 60% of 420? (a) 504 (b) 2520 (c) 252 (d) 168
  8. 8.If 5x + 10 = 65, what is x? (a) 55 (b) 12 (c) 15 (d) 11
  9. 9.If 21 June is a Sunday, what day of the week is 5 July? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  10. 10.If 11 October is a Thursday, what day of the week is 23 October? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
  11. 11.Which of these numbers is divisible by 11? (a) 9495 (b) 9490 (c) 9506 (d) 9493
  12. 12.Which is the smallest: 0.77, 0.091, 0.624, 0.7? (a) 0.77 (b) 0.091 (c) 0.624 (d) 0.7
  13. 13.4.54 + 6.9 = ? (a) 11.54 (b) 11.44 (c) 11.34 (d) 5.23
  14. 14.1.34 + 3.1 = ? (a) 4.54 (b) 4.34 (c) 1.65 (d) 4.44
  15. 15.1/2 + 4/6 = ? (a) 5/8 (b) 1 (c) 4/3 (d) 7/6
  16. 16.Every pair follows the same rule: 4 : 16, 5 : 25, 6 : 36. What is 2 : ? (a) 5 (b) 4 (c) 8 (d) 14
  17. 17.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 126 cm (d) 10 cm
  18. 18.If x/4 + 3 = 9, what is x? (a) 48 (b) 6 (c) 24 (d) 33
  19. 19.If 2x + 13 = 31, what is x? (a) 22 (b) 10 (c) 9 (d) 18
  20. 20.What is the remainder when 97 is divided by 9? (a) 2 (b) 6 (c) 8 (d) 7
  21. 21.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 68 (c) 15 (d) 56
  22. 22.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 23 (c) 15 (d) 19
  23. 23.If 5x + 23 = 33, what is x? (a) 3 (b) 1 (c) 2 (d) 10
  24. 24.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 30 (c) 11 (d) 36
  25. 25.What is the value of the digit 9 in 97.642? (a) 90 (b) 0.9 (c) 0.09 (d) 9
  26. 26.What is 10% of 900? (a) 810 (b) 90 (c) 180 (d) 900
  27. 27.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 26 days (b) 15 days (c) 27 days (d) 11 days
  28. 28.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 448 min (b) 4 min (c) 112 min (d) 44 min
  29. 29.A shopkeeper buys a toy for ₹980 and sells it for ₹1274. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  30. 30.₹364 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹234 (b) ₹130 (c) ₹26 (d) ₹182
  31. 31.₹5500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹6490 (b) ₹6820 (c) ₹990 (d) ₹5830
  32. 32.If 11 December is a Sunday, what day of the week is 20 December? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  33. 33.A teacher has 40 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 16 (c) 8 (d) 4
  34. 34.6.17 + 1.2 = ? (a) 7.37 (b) 7.27 (c) 7.47 (d) 6.29
  35. 35.If 4 December is a Saturday, what day of the week is 20 December? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  37. 37.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 3 min (c) 15 min (d) 18 min
  38. 38.If 2x + 28 = 40, what is x? (a) 12 (b) 6 (c) 7 (d) 34
  39. 39.What is 7/8 of 72? (a) 72 (b) 64 (c) 63 (d) 9
  40. 40.In how many years will ₹2500 earn ₹750 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years

Answer key

  1. 108
  2. 46
  3. 3
  4. ₹36
  5. 2
  6. 27
  7. 252
  8. 11
  9. Sunday
  10. Tuesday
  11. 9493
  12. 0.091
  13. 11.44
  14. 4.44
  15. 7/6
  16. 4
  17. 10 cm
  18. 24
  19. 9
  20. 7
  21. 68
  22. 23
  23. 2
  24. 36
  25. 90
  26. 90
  27. 26 days
  28. 112 min
  29. 30%
  30. ₹234
  31. ₹6490
  32. Tuesday
  33. 8
  34. 7.37
  35. Monday
  36. 36 sq cm
  37. 18 min
  38. 6
  39. 63
  40. 3 years

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