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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 989 · 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 4? (a) 2184 (b) 2190 (c) 2182 (d) 2187
  2. 2.If 2x − 3 = 21, what is x? (a) 13 (b) 24 (c) 9 (d) 12
  3. 3.What is the value of the digit 5 in 31.527? (a) 5 (b) 0.05 (c) 0.5 (d) 0.005
  4. 4.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 21 cm (d) 104 cm
  5. 5.A bag marked ₹1940 is sold at a 15% discount. What is its selling price? (a) ₹291 (b) ₹1649 (c) ₹2231 (d) ₹1925
  6. 6.What is 50% of 160? (a) 800 (b) 80 (c) 81 (d) 160
  7. 7.If 8x + 12 = 2x + 66, what is x? (a) 9 (b) 11 (c) 10 (d) 13
  8. 8.Which of these numbers is divisible by 11? (a) 3723 (b) 3729 (c) 3747 (d) 3732
  9. 9.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
  10. 10.₹160 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹128 (b) ₹80 (c) ₹32 (d) ₹160
  11. 11.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 10% (b) 16% (c) 20% (d) 15%
  12. 12.Which fraction is greater: 2/3 or 2/5? (a) 2/5 (b) They are equal (c) 2/3
  13. 13.₹637 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹49 (b) ₹441 (c) ₹392 (d) ₹245
  14. 14.If 4x − 29 = 19, what is x? (a) 12 (b) 48 (c) 11 (d) 13
  15. 15.A teacher has 10 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 10 (c) 2 (d) 1
  16. 16.Which of these numbers is divisible by 11? (a) 5109 (b) 5086 (c) 5098 (d) 5093
  17. 17.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  18. 18.A bag marked ₹1680 is sold at a 50% discount. What is its selling price? (a) ₹840 (b) ₹1630 (c) ₹841 (d) ₹2520
  19. 19.What is the units digit of 8^43? (a) 4 (b) 6 (c) 2 (d) 8
  20. 20.Which is the smallest: 0.84, 0.731, 0.055, 0.8? (a) 0.84 (b) 0.731 (c) 0.055 (d) 0.8
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  24. 24.Every pair follows the same rule: 2 : 3, 6 : 35, 7 : 48. What is 8 : ? (a) 63 (b) 9 (c) 61 (d) 64
  25. 25.Which of these numbers is divisible by 11? (a) 9247 (b) 9238 (c) 9229 (d) 9224
  26. 26.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 7 days (c) 11 days (d) 15 days
  27. 27.7.91 + 1.7 = ? (a) 9.71 (b) 9.61 (c) 9.51 (d) 8.08
  28. 28.Which is the smallest: 0.573, 0.019, 0.69, 0.6? (a) 0.573 (b) 0.019 (c) 0.69 (d) 0.6
  29. 29.If 3x + 20 = 2x + 32, what is x? (a) 13 (b) 12 (c) 14 (d) 52
  30. 30.1/5 + 1/5 = ? (a) 1/5 (b) 4/5 (c) 3/5 (d) 2/5
  31. 31.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 48 (b) 71 (c) 103 (d) 63
  32. 32.Which fraction is greater: 1/4 or 1/8? (a) They are equal (b) 1/4 (c) 1/8
  33. 33.If 3x − 12 = 3, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  34. 34.Today is Saturday. What day of the week will it be after 50 days? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  35. 35.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 28 (b) 66 (c) 42 (d) 46
  36. 36.If 7x + 4 = 4x + 7, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  37. 37.Every pair follows the same rule: 2 : 15, 6 : 19, 8 : 21. What is 3 : ? (a) 17 (b) 18 (c) 15 (d) 16
  38. 38.If 3 March is a Sunday, what day of the week is 15 March? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  39. 39.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 60 (b) 30 (c) 90 (d) 21
  40. 40.4.67 + 8.9 = ? (a) 13.67 (b) 5.56 (c) 13.57 (d) 13.47

Answer key

  1. 2184
  2. 12
  3. 0.5
  4. 42 cm
  5. ₹1649
  6. 80
  7. 9
  8. 3729
  9. 46 cm
  10. ₹128
  11. 15%
  12. 2/3
  13. ₹392
  14. 12
  15. 2
  16. 5093
  17. 9 cm
  18. ₹840
  19. 2
  20. 0.055
  21. 36 sq cm
  22. 49 sq cm
  23. 24 sq cm
  24. 63
  25. 9229
  26. 15 days
  27. 9.61
  28. 0.019
  29. 12
  30. 2/5
  31. 103
  32. 1/4
  33. 5
  34. Sunday
  35. 66
  36. 1
  37. 16
  38. Friday
  39. 30
  40. 13.57

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