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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 595 · 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 of these numbers is divisible by 3? (a) 984 (b) 985 (c) 982 (d) 988
  2. 2.What is the simple interest on ₹3500 at 4% per year for 2 years? (a) ₹420 (b) ₹140 (c) ₹3780 (d) ₹280
  3. 3.2/4 + 6/9 = ? (a) 43/36 (b) 41/36 (c) 7/6 (d) 8/13
  4. 4.What is 2/5 of 40? (a) 24 (b) 16 (c) 17 (d) 8
  5. 5.If 4 January is a Thursday, what day of the week is 19 January? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  6. 6.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 126 (b) 252 (c) 60 (d) 756
  7. 7.What is the simple interest on ₹2500 at 3% per year for 4 years? (a) ₹375 (b) ₹2800 (c) ₹75 (d) ₹300
  8. 8.4.83 + 2.6 = ? (a) 5.09 (b) 7.53 (c) 7.33 (d) 7.43
  9. 9.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 40 (d) 30
  10. 10.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 16 cm (d) 32 cm
  11. 11.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 21 cm (c) 32 cm (d) 42 cm
  12. 12.3.67 + 8.7 = ? (a) 4.54 (b) 12.37 (c) 12.27 (d) 12.47
  13. 13.What is 4/5 of 40? (a) 40 (b) 33 (c) 8 (d) 32
  14. 14.If 5x − 17 = 23, what is x? (a) 8 (b) 40 (c) 9 (d) 7
  15. 15.2/3 + 1/5 = ? (a) 3/8 (b) 4/5 (c) 14/15 (d) 13/15
  16. 16.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 21% (b) 5% (c) 10% (d) 6%
  17. 17.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 13 (c) 4 (d) 25
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  19. 19.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 16 sq cm (d) 72 sq cm
  20. 20.If 5x + 17 = 4x + 25, what is x? (a) 42 (b) 10 (c) 9 (d) 8
  21. 21.Every pair follows the same rule: 3 : 23, 6 : 26, 8 : 28. What is 9 : ? (a) 28 (b) 30 (c) 31 (d) 29
  22. 22.Every pair follows the same rule: 4 : 12, 5 : 15, 6 : 18. What is 2 : ? (a) 6 (b) 7 (c) 10 (d) 5
  23. 23.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 43 (b) 8 (c) 37 (d) 72
  24. 24.What is the value of the digit 9 in 41.397? (a) 0.009 (b) 0.09 (c) 9 (d) 0.9
  25. 25.Every pair follows the same rule: 6 : 35, 8 : 63, 9 : 80. What is 4 : ? (a) 16 (b) 33 (c) 14 (d) 15
  26. 26.What is the simple interest on ₹3000 at 10% per year for 5 years? (a) ₹1800 (b) ₹300 (c) ₹4500 (d) ₹1500
  27. 27.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 126 (b) 125 (c) 5 (d) 153
  28. 28.Which fraction is greater: 1/10 or 8/11? (a) They are equal (b) 1/10 (c) 8/11
  29. 29.What is the average of 47, 74, 53, 50, 55 and 75? (a) 61 (b) 60 (c) 59 (d) 58
  30. 30.If 6x + 2 = 56, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  31. 31.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 24 cm (d) 12 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  33. 33.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 24 (c) 6 (d) 51
  34. 34.If 3x − 24 = 3, what is x? (a) 10 (b) 8 (c) 27 (d) 9
  35. 35.If 7 kites cost ₹140, how much do 6 kites cost? (a) ₹840 (b) ₹120 (c) ₹140 (d) ₹139
  36. 36.What is the value of the digit 5 in 19.754? (a) 0.005 (b) 0.5 (c) 5 (d) 0.05
  37. 37.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 35 (b) 100 (c) 250 (d) 50
  38. 38.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  39. 39.If 3 July is a Friday, what day of the week is 14 July? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  40. 40.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm

Answer key

  1. 984
  2. ₹280
  3. 7/6
  4. 16
  5. Friday
  6. 126
  7. ₹300
  8. 7.43
  9. 10
  10. 32 cm
  11. 42 cm
  12. 12.37
  13. 32
  14. 8
  15. 13/15
  16. 5%
  17. 16
  18. 169 sq cm
  19. 63 sq cm
  20. 8
  21. 29
  22. 6
  23. 43
  24. 0.09
  25. 15
  26. ₹1500
  27. 125
  28. 8/11
  29. 59
  30. 9
  31. 12 cm
  32. 225 sq cm
  33. 6
  34. 9
  35. ₹120
  36. 0.05
  37. 50
  38. 20%
  39. Tuesday
  40. 81 sq cm

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