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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 80 · 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.Today is Thursday. What day of the week will it be after 16 days? (a) Saturday (b) Monday (c) Friday (d) Sunday
  2. 2.If 2x + 20 = 34, what is x? (a) 27 (b) 8 (c) 7 (d) 14
  3. 3.What is the remainder when 313 is divided by 7? (a) 6 (b) 5 (c) 2 (d) 4
  4. 4.If 5x + 12 = 3x + 24, what is x? (a) 7 (b) 8 (c) 6 (d) 18
  5. 5.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹288 (b) ₹180 (c) ₹234 (d) ₹36
  6. 6.If x/2 + 3 = 8, what is x? (a) 10 (b) 13 (c) 5 (d) 22
  7. 7.What is the smallest number you must add to 194 to make it divisible by 8? (a) 5 (b) 2 (c) 7 (d) 6
  8. 8.Which of these numbers is divisible by 11? (a) 704 (b) 700 (c) 706 (d) 720
  9. 9.If 28 September is a Monday, what day of the week is 5 October? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  10. 10.5/9 + 3/6 = ? (a) 19/18 (b) 10/9 (c) 1 (d) 8/15
  11. 11.A bag marked ₹900 is sold at a 15% discount. What is its selling price? (a) ₹765 (b) ₹885 (c) ₹135 (d) ₹1035
  12. 12.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 2 min (c) 22 min (d) 60 min
  13. 13.Every pair follows the same rule: 2 : 12, 4 : 24, 8 : 48. What is 9 : ? (a) 55 (b) 53 (c) 19 (d) 54
  14. 14.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 40 (c) 66 (d) 34
  15. 15.What is the simple interest on ₹1000 at 11% per year for 2 years? (a) ₹330 (b) ₹220 (c) ₹110 (d) ₹1220
  16. 16.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 75 sq cm (d) 90 sq cm
  17. 17.5/6 + 2/8 = ? (a) 1/2 (b) 9/8 (c) 25/24 (d) 13/12
  18. 18.If 18 June is a Thursday, what day of the week is 12 July? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  19. 19.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 60 (b) 360 (c) 42 (d) 120
  20. 20.What is the smallest number you must add to 918 to make it divisible by 12? (a) 8 (b) 5 (c) 7 (d) 6
  21. 21.₹75 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹25 (b) ₹75 (c) ₹51 (d) ₹50
  22. 22.If 7 kites cost ₹63, how much do 9 kites cost? (a) ₹81 (b) ₹65 (c) ₹90 (d) ₹567
  23. 23.What is 75% of 100? (a) 150 (b) 75 (c) 25 (d) 750
  24. 24.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 10% (b) 5% (c) 4% (d) 6%
  25. 25.A bag marked ₹1220 is sold at a 50% discount. What is its selling price? (a) ₹610 (b) ₹1830 (c) ₹1170 (d) ₹611
  26. 26.A bag marked ₹1960 is sold at a 30% discount. What is its selling price? (a) ₹588 (b) ₹1930 (c) ₹1372 (d) ₹2548
  27. 27.Which fraction is greater: 3/4 or 7/11? (a) They are equal (b) 7/11 (c) 3/4
  28. 28.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 180 cm (d) 11 cm
  29. 29.What is 1/5 of 25? (a) 6 (b) 10 (c) 5 (d) 20
  30. 30.1/4 + 4/5 = ? (a) 1 (b) 5/9 (c) 21/20 (d) 11/10
  31. 31.The simple interest on ₹5000 for 3 years is ₹1200. What is the rate per year? (a) 24% (b) 8% (c) 9% (d) 7%
  32. 32.What is 10% of 100? (a) 10 (b) 20 (c) 90 (d) 100
  33. 33.If 12 August is a Monday, what day of the week is 2 September? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  34. 34.What is the value of the digit 1 in 16.278? (a) 1 (b) 0.1 (c) 10 (d) 0.01
  35. 35.1/2 + 1/2 = ? (a) 3/2 (b) 2 (c) 1 (d) 1/2
  36. 36.Every pair follows the same rule: 3 : 20, 6 : 32, 8 : 40. What is 2 : ? (a) 19 (b) 17 (c) 15 (d) 16
  37. 37.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 61 (b) 43 (c) 83 (d) 21
  38. 38.Two ribbons are 10 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 1 cm (c) 30 cm (d) 10 cm
  39. 39.Every pair follows the same rule: 2 : 12, 4 : 16, 6 : 20. What is 7 : ? (a) 42 (b) 23 (c) 17 (d) 22
  40. 40.If 5x + 5 = 4x + 10, what is x? (a) 15 (b) 7 (c) 6 (d) 5

Answer key

  1. Saturday
  2. 7
  3. 5
  4. 6
  5. ₹288
  6. 10
  7. 6
  8. 704
  9. Monday
  10. 19/18
  11. ₹765
  12. 60 min
  13. 54
  14. 66
  15. ₹220
  16. 75 sq cm
  17. 13/12
  18. Sunday
  19. 60
  20. 6
  21. ₹50
  22. ₹81
  23. 75
  24. 5%
  25. ₹610
  26. ₹1372
  27. 3/4
  28. 11 cm
  29. 5
  30. 21/20
  31. 8%
  32. 10
  33. Monday
  34. 10
  35. 1
  36. 16
  37. 61
  38. 5 cm
  39. 22
  40. 5

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