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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 406 · 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.₹3500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹3570 (b) ₹3780 (c) ₹3850 (d) ₹280
  2. 2.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 44 cm (d) 36 cm
  3. 3.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 15 (c) 14 (d) 5
  4. 4.3.78 + 7.7 = ? (a) 4.55 (b) 11.48 (c) 11.58 (d) 11.38
  5. 5.What is the value of the digit 1 in 93.241? (a) 0.01 (b) 1 (c) 0.1 (d) 0.001
  6. 6.Every pair follows the same rule: 3 : 12, 4 : 19, 6 : 39. What is 9 : ? (a) 84 (b) 36 (c) 69 (d) 18
  7. 7.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 8 days (d) 9 days
  8. 8.What is the value of the digit 9 in 23.569? (a) 0.09 (b) 9 (c) 0.9 (d) 0.009
  9. 9.The simple interest on ₹9500 for 2 years is ₹1330. What is the rate per year? (a) 14% (b) 6% (c) 7% (d) 8%
  10. 10.What is 1/3 of 36? (a) 12 (b) 24 (c) 13 (d) 11
  11. 11.If 4x − 7 = 5, what is x? (a) 12 (b) 3 (c) 2 (d) 4
  12. 12.If 16 September is a Wednesday, what day of the week is 2 October? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  13. 13.Every pair follows the same rule: 2 : 1, 8 : 61, 9 : 78. What is 3 : ? (a) 7 (b) 8 (c) 5 (d) 6
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  15. 15.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 143 sq cm (d) 48 sq cm
  16. 16.If 9x + 8 = 71, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  17. 17.A teacher has 50 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 50 (c) 10 (d) 40
  18. 18.Which is the smallest: 0.739, 0.84, 0.087, 0.8? (a) 0.739 (b) 0.84 (c) 0.087 (d) 0.8
  19. 19.What is the value of the digit 5 in 85.912? (a) 50 (b) 0.5 (c) 5 (d) 0.05
  20. 20.In how many years will ₹1500 earn ₹225 simple interest at 3% per year? (a) 10 years (b) 4 years (c) 5 years (d) 6 years
  21. 21.Which is the smallest: 0.43, 0.364, 0.027, 0.4? (a) 0.43 (b) 0.364 (c) 0.027 (d) 0.4
  22. 22.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 57 (b) 56 (c) 112 (d) 22
  23. 23.₹6000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹480 (b) ₹6240 (c) ₹6720 (d) ₹6480
  24. 24.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 12 (c) 22 (d) 32
  25. 25.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 61 (c) 18 (d) 49
  26. 26.What is the value of the digit 4 in 42.761? (a) 40 (b) 0.4 (c) 4 (d) 0.04
  27. 27.If 24 March is a Sunday, what day of the week is 16 April? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  28. 28.If x/5 + 4 = 7, what is x? (a) 3 (b) 15 (c) 31 (d) 55
  29. 29.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 6 days (d) 17 days
  30. 30.What is the average of all the whole numbers from 54 to 94? (a) 75 (b) 74 (c) 40 (d) 20
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  32. 32.Every pair follows the same rule: 4 : 18, 6 : 38, 8 : 66. What is 5 : ? (a) 27 (b) 28 (c) 19 (d) 24
  33. 33.What is the value of the digit 7 in 59.723? (a) 0.7 (b) 0.07 (c) 7 (d) 0.007
  34. 34.Which is the smallest: 0.4, 0.054, 0.317, 0.48? (a) 0.4 (b) 0.054 (c) 0.317 (d) 0.48
  35. 35.What is the smallest number you must add to 207 to make it divisible by 5? (a) 3 (b) 4 (c) 1 (d) 2
  36. 36.If 4x − 24 = 24, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  37. 37.Every pair follows the same rule: 5 : 25, 7 : 27, 8 : 28. What is 6 : ? (a) 26 (b) 30 (c) 25 (d) 27
  38. 38.If 7x + 1 = 85, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  39. 39.Which of these numbers is divisible by 9? (a) 678 (b) 662 (c) 666 (d) 669
  40. 40.7.68 + 9.1 = ? (a) 8.59 (b) 16.88 (c) 16.78 (d) 16.68

Answer key

  1. ₹3780
  2. 44 cm
  3. 14
  4. 11.48
  5. 0.001
  6. 84
  7. 9 days
  8. 0.009
  9. 7%
  10. 12
  11. 3
  12. Friday
  13. 6
  14. 36 sq cm
  15. 143 sq cm
  16. 7
  17. 10
  18. 0.087
  19. 5
  20. 5 years
  21. 0.027
  22. 56
  23. ₹6480
  24. 32
  25. 61
  26. 40
  27. Tuesday
  28. 15
  29. 5 days
  30. 74
  31. 24 sq cm
  32. 27
  33. 0.7
  34. 0.054
  35. 3
  36. 12
  37. 26
  38. 12
  39. 666
  40. 16.78

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