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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 627 · 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.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 20 (c) 56 (d) 46
  2. 2.A shopkeeper buys a toy for ₹900 and sells it for ₹765. What is his loss percent? (a) 15% (b) 10% (c) 16% (d) 20%
  3. 3.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 105 min (c) 5 min (d) 525 min
  4. 4.Today is Saturday. What day of the week will it be after 41 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  6. 6.6.82 + 6.7 = ? (a) 13.52 (b) 7.49 (c) 13.62 (d) 13.42
  7. 7.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  8. 8.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 6 days (c) 10 days (d) 4 days
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  10. 10.What is the smallest number you must add to 328 to make it divisible by 6? (a) 4 (b) 3 (c) 2 (d) 1
  11. 11.A teacher has 50 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 50 (d) 20
  12. 12.If 5 notebooks cost ₹50, how much do 7 notebooks cost? (a) ₹70 (b) ₹52 (c) ₹350 (d) ₹80
  13. 13.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 20% (b) 75% (c) 30% (d) 25%
  14. 14.Which fraction is greater: 5/8 or 4/7? (a) They are equal (b) 4/7 (c) 5/8
  15. 15.If 3x + 12 = 36, what is x? (a) 8 (b) 16 (c) 24 (d) 9
  16. 16.If 3x − 21 = 15, what is x? (a) 11 (b) 12 (c) 36 (d) 13
  17. 17.1/2 + 4/7 = ? (a) 1 (b) 15/14 (c) 5/9 (d) 8/7
  18. 18.If 9x + 14 = 2x + 35, what is x? (a) 3 (b) 5 (c) 4 (d) 7
  19. 19.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 140 (b) 48 (c) 280 (d) 560
  20. 20.The simple interest on ₹6500 for 4 years is ₹2080. What is the rate per year? (a) 8% (b) 7% (c) 9% (d) 32%
  21. 21.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 9 (b) 26 (c) 8 (d) 18
  22. 22.If 7 notebooks cost ₹77, how much do 12 notebooks cost? (a) ₹82 (b) ₹132 (c) ₹143 (d) ₹924
  23. 23.A bag marked ₹460 is sold at a 15% discount. What is its selling price? (a) ₹69 (b) ₹391 (c) ₹529 (d) ₹445
  24. 24.What is the remainder when 213 is divided by 7? (a) 5 (b) 4 (c) 2 (d) 3
  25. 25.Which fraction is greater: 1/3 or 4/5? (a) They are equal (b) 1/3 (c) 4/5
  26. 26.What is the units digit of 2^39? (a) 4 (b) 2 (c) 6 (d) 8
  27. 27.The simple interest on ₹5000 for 2 years is ₹1200. What is the rate per year? (a) 24% (b) 11% (c) 13% (d) 12%
  28. 28.Which is the smallest: 0.21, 0.2, 0.128, 0.077? (a) 0.21 (b) 0.2 (c) 0.128 (d) 0.077
  29. 29.Which is the greatest: 0.31, 0.3, 0.033, 0.296? (a) 0.31 (b) 0.3 (c) 0.033 (d) 0.296
  30. 30.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 20 (c) 40 (d) 58
  31. 31.If 6 notebooks cost ₹96, how much do 11 notebooks cost? (a) ₹176 (b) ₹192 (c) ₹1056 (d) ₹101
  32. 32.Every pair follows the same rule: 2 : 3, 5 : 9, 8 : 15. What is 9 : ? (a) 17 (b) 16 (c) 10 (d) 18
  33. 33.A teacher has 8 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 10 (c) 2 (d) 1
  34. 34.What is the average of 10, 21, 38, 16 and 30? (a) 25 (b) 23 (c) 22 (d) 24
  35. 35.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 18 (c) 41 (d) 27
  36. 36.Which fraction is greater: 1/4 or 1/3? (a) They are equal (b) 1/3 (c) 1/4
  37. 37.₹288 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹144 (b) ₹288 (c) ₹48 (d) ₹240
  38. 38.4/7 + 2/5 = ? (a) 34/35 (b) 1/2 (c) 33/35 (d) 1
  39. 39.Which is the smallest: 0.64, 0.6, 0.579, 0.053? (a) 0.64 (b) 0.6 (c) 0.579 (d) 0.053
  40. 40.Every pair follows the same rule: 3 : 9, 5 : 25, 9 : 81. What is 7 : ? (a) 53 (b) 49 (c) 21 (d) 13

Answer key

  1. 46
  2. 15%
  3. 105 min
  4. Friday
  5. 36 sq cm
  6. 13.52
  7. 30%
  8. 16 days
  9. 225 sq cm
  10. 2
  11. 10
  12. ₹70
  13. 25%
  14. 5/8
  15. 8
  16. 12
  17. 15/14
  18. 3
  19. 140
  20. 8%
  21. 8
  22. ₹132
  23. ₹391
  24. 3
  25. 4/5
  26. 8
  27. 12%
  28. 0.077
  29. 0.31
  30. 58
  31. ₹176
  32. 17
  33. 2
  34. 23
  35. 41
  36. 1/3
  37. ₹240
  38. 34/35
  39. 0.053
  40. 49

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