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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 814 · 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.Every pair follows the same rule: 2 : 14, 5 : 23, 7 : 29. What is 3 : ? (a) 21 (b) 18 (c) 15 (d) 17
  2. 2.Every pair follows the same rule: 2 : 2, 5 : 11, 6 : 14. What is 4 : ? (a) 9 (b) 8 (c) 7 (d) 4
  3. 3.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 90 sq cm (d) 21 sq cm
  4. 4.If 2x + 17 = 23, what is x? (a) 4 (b) 20 (c) 6 (d) 3
  5. 5.If 21 September is a Saturday, what day of the week is 18 October? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  6. 6.If 2x − 11 = 5, what is x? (a) 7 (b) 9 (c) 8 (d) 16
  7. 7.Which of these numbers is divisible by 8? (a) 6545 (b) 6539 (c) 6544 (d) 6556
  8. 8.The simple interest on ₹8000 for 2 years is ₹800. What is the rate per year? (a) 10% (b) 4% (c) 5% (d) 6%
  9. 9.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 11 sq cm (d) 35 sq cm
  10. 10.What is the average of all the whole numbers from 27 to 57? (a) 15 (b) 42 (c) 30 (d) 43
  11. 11.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 68 cm (d) 38 cm
  12. 12.If 6x + 6 = 4x + 14, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  13. 13.If x/4 + 1 = 10, what is x? (a) 36 (b) 44 (c) 39 (d) 9
  14. 14.What is the simple interest on ₹1500 at 3% per year for 2 years? (a) ₹135 (b) ₹90 (c) ₹45 (d) ₹1590
  15. 15.If 15 September is a Wednesday, what day of the week is 11 October? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  16. 16.2/3 + 1/2 = ? (a) 3/5 (b) 7/6 (c) 4/3 (d) 1
  17. 17.If 6x + 5 = 95, what is x? (a) 16 (b) 14 (c) 90 (d) 15
  18. 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 28 sq cm (d) 56 sq cm
  19. 19.₹209 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹19 (b) ₹57 (c) ₹171 (d) ₹152
  20. 20.What is 10% of 1000? (a) 1000 (b) 900 (c) 100 (d) 200
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  22. 22.What is the smallest number you must add to 505 to make it divisible by 12? (a) 1 (b) 9 (c) 10 (d) 11
  23. 23.If 12 July is a Wednesday, what day of the week is 16 August? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  24. 24.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  25. 25.₹80 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹40 (b) ₹50 (c) ₹30 (d) ₹10
  26. 26.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 16% (b) 10% (c) 15% (d) 20%
  27. 27.7/9 + 1/3 = ? (a) 10/9 (b) 2/3 (c) 11/9 (d) 1
  28. 28.What is the units digit of 3^49? (a) 7 (b) 1 (c) 9 (d) 3
  29. 29.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 4 : ? (a) 17 (b) 10 (c) 16 (d) 12
  30. 30.A shopkeeper buys a toy for ₹800 and sells it for ₹640. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  31. 31.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 78 (b) 49 (c) 43 (d) 36
  32. 32.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 23 sq cm (d) 126 sq cm
  33. 33.What is the average of all the whole numbers from 16 to 30? (a) 14 (b) 24 (c) 7 (d) 23
  34. 34.3/7 + 1/2 = ? (a) 4/9 (b) 13/14 (c) 6/7 (d) 1
  35. 35.A bag marked ₹300 is sold at a 15% discount. What is its selling price? (a) ₹255 (b) ₹45 (c) ₹285 (d) ₹345
  36. 36.Every pair follows the same rule: 2 : 3, 7 : 48, 8 : 63. What is 5 : ? (a) 24 (b) 18 (c) 6 (d) 25
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  38. 38.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 616 (b) 77 (c) 11 (d) 1
  39. 39.2/4 + 8/9 = ? (a) 49/36 (b) 10/13 (c) 25/18 (d) 17/12
  40. 40.If 9 notebooks cost ₹99, how much do 2 notebooks cost? (a) ₹22 (b) ₹92 (c) ₹198 (d) ₹33

Answer key

  1. 17
  2. 8
  3. 90 sq cm
  4. 3
  5. Friday
  6. 8
  7. 6544
  8. 5%
  9. 28 sq cm
  10. 42
  11. 42 cm
  12. 4
  13. 36
  14. ₹90
  15. Monday
  16. 7/6
  17. 15
  18. 48 sq cm
  19. ₹152
  20. 100
  21. 64 sq cm
  22. 11
  23. Wednesday
  24. 121 sq cm
  25. ₹50
  26. 15%
  27. 10/9
  28. 3
  29. 16
  30. 20%
  31. 78
  32. 126 sq cm
  33. 23
  34. 13/14
  35. ₹255
  36. 24
  37. 49 sq cm
  38. 11
  39. 25/18
  40. ₹22

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