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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 583 · 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.Which is the smallest: 0.5, 0.042, 0.53, 0.498? (a) 0.5 (b) 0.042 (c) 0.53 (d) 0.498
  2. 2.3/8 + 1/3 = ? (a) 17/24 (b) 3/4 (c) 2/3 (d) 4/11
  3. 3.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
  4. 4.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 21%
  5. 5.If 29 June is a Tuesday, what day of the week is 19 July? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  6. 6.₹2500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹450 (b) ₹3175 (c) ₹2725 (d) ₹2950
  7. 7.If x/4 + 9 = 14, what is x? (a) 5 (b) 20 (c) 92 (d) 47
  8. 8.Today is Tuesday. What day of the week will it be after 34 days? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  10. 10.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 52 (b) 93 (c) 6 (d) 47
  11. 11.If 14 October is a Tuesday, what day of the week is 28 October? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  12. 12.Which fraction is greater: 1/5 or 2/3? (a) 2/3 (b) They are equal (c) 1/5
  13. 13.A shopkeeper buys a toy for ₹700 and sells it for ₹1050. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  14. 14.If 8x − 1 = 95, what is x? (a) 11 (b) 13 (c) 96 (d) 12
  15. 15.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 80 cm
  16. 16.What is 4/5 of 10? (a) 2 (b) 8 (c) 9 (d) 10
  17. 17.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 30 min (c) 21 min (d) 90 min
  18. 18.The simple interest on ₹2000 for 2 years is ₹280. What is the rate per year? (a) 7% (b) 6% (c) 8% (d) 14%
  19. 19.What is the value of the digit 3 in 58.136? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
  20. 20.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 14 (b) 20 (c) 21 (d) 40
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 24 sq cm (d) 42 sq cm
  22. 22.What is the smallest number you must add to 74 to make it divisible by 5? (a) 2 (b) 3 (c) 4 (d) 1
  23. 23.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 112 (b) 56 (c) 224 (d) 36
  24. 24.A bag marked ₹340 is sold at a 10% discount. What is its selling price? (a) ₹330 (b) ₹34 (c) ₹374 (d) ₹306
  25. 25.If 5x + 1 = 2x + 13, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  26. 26.What is 2/3 of 21? (a) 21 (b) 15 (c) 14 (d) 7
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  28. 28.Which of these numbers is divisible by 3? (a) 1289 (b) 1284 (c) 1285 (d) 1282
  29. 29.If 31 August is a Saturday, what day of the week is 3 September? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  30. 30.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 18 days (c) 10 days (d) 28 days
  31. 31.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 20 cm (d) 40 cm
  32. 32.What is 2/5 of 10? (a) 2 (b) 5 (c) 6 (d) 4
  33. 33.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  34. 34.What is 5/8 of 40? (a) 5 (b) 30 (c) 25 (d) 15
  35. 35.The simple interest on ₹6500 for 5 years is ₹2275. What is the rate per year? (a) 6% (b) 35% (c) 8% (d) 7%
  36. 36.4.32 + 3.2 = ? (a) 4.64 (b) 7.62 (c) 7.42 (d) 7.52
  37. 37.The simple interest on ₹7000 for 5 years is ₹2800. What is the rate per year? (a) 9% (b) 8% (c) 7% (d) 40%
  38. 38.5.15 + 3.4 = ? (a) 8.65 (b) 8.45 (c) 5.49 (d) 8.55
  39. 39.What is the average of all the whole numbers from 6 to 16? (a) 12 (b) 10 (c) 11 (d) 5
  40. 40.What is the average of 48, 29, 55 and 28? (a) 41 (b) 39 (c) 40 (d) 42

Answer key

  1. 0.042
  2. 17/24
  3. 50%
  4. 20%
  5. Monday
  6. ₹2950
  7. 20
  8. Monday
  9. 144 sq cm
  10. 52
  11. Tuesday
  12. 2/3
  13. 50%
  14. 12
  15. 9 cm
  16. 8
  17. 30 min
  18. 7%
  19. 0.03
  20. 20
  21. 35 sq cm
  22. 1
  23. 56
  24. ₹306
  25. 4
  26. 14
  27. 121 sq cm
  28. 1284
  29. Tuesday
  30. 28 days
  31. 40 cm
  32. 4
  33. 20 sq cm
  34. 25
  35. 7%
  36. 7.52
  37. 8%
  38. 8.55
  39. 11
  40. 40

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