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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 954 · 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: 3 : 6, 4 : 7, 5 : 8. What is 8 : ? (a) 11 (b) 12 (c) 10 (d) 16
  2. 2.If 7x + 9 = 93, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  3. 3.What is the smallest number you must add to 185 to make it divisible by 6? (a) 3 (b) 2 (c) 5 (d) 1
  4. 4.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 2 days (c) 8 days (d) 9 days
  5. 5.What is the value of the digit 3 in 21.934? (a) 3 (b) 0.003 (c) 0.03 (d) 0.3
  6. 6.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 165 sq cm (d) 50 sq cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  8. 8.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 5 cm (c) 54 cm (d) 8 cm
  9. 9.If 5x + 7 = 22, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  10. 10.What is the average of 43, 22, 18, 39, 41 and 11? (a) 29 (b) 28 (c) 30 (d) 31
  11. 11.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 18 min (c) 28 min (d) 56 min
  12. 12.A bag marked ₹540 is sold at a 10% discount. What is its selling price? (a) ₹530 (b) ₹486 (c) ₹54 (d) ₹594
  13. 13.If 6x + 5 = 71, what is x? (a) 11 (b) 12 (c) 66 (d) 10
  14. 14.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 135 sq cm (d) 120 sq cm
  15. 15.Two ribbons are 14 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 112 cm (b) 14 cm (c) 2 cm (d) 1 cm
  16. 16.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 56 sq cm (c) 18 sq cm (d) 36 sq cm
  17. 17.Every pair follows the same rule: 2 : 5, 4 : 13, 7 : 25. What is 5 : ? (a) 16 (b) 8 (c) 18 (d) 17
  18. 18.What is the average of all the whole numbers from 38 to 64? (a) 26 (b) 51 (c) 52 (d) 13
  19. 19.If 2x − 4 = 2, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  20. 20.What is the average of all the whole numbers from 26 to 36? (a) 32 (b) 5 (c) 31 (d) 10
  21. 21.5.71 + 3.9 = ? (a) 6.1 (b) 9.61 (c) 9.51 (d) 9.71
  22. 22.What is 4/5 of 55? (a) 11 (b) 44 (c) 45 (d) 55
  23. 23.If 2 pens cost ₹46, how much do 10 pens cost? (a) ₹54 (b) ₹230 (c) ₹253 (d) ₹460
  24. 24.What is the average of 73, 78, 56, 54, 61 and 62? (a) 64 (b) 63 (c) 66 (d) 65
  25. 25.If 9 October is a Thursday, what day of the week is 24 October? (a) Friday (b) Sunday (c) Saturday (d) Thursday
  26. 26.If 9x + 11 = 119, what is x? (a) 108 (b) 13 (c) 12 (d) 11
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  28. 28.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
  29. 29.If x/6 + 11 = 21, what is x? (a) 10 (b) 60 (c) 115 (d) 192
  30. 30.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 22 days (c) 21 days (d) 16 days
  31. 31.If 26 May is a Thursday, what day of the week is 14 June? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  32. 32.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 48 min (c) 14 min (d) 24 min
  33. 33.In how many years will ₹7000 earn ₹840 simple interest at 3% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
  34. 34.₹93 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹93 (b) ₹63 (c) ₹31 (d) ₹62
  35. 35.If 4 October is a Tuesday, what day of the week is 14 October? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  36. 36.Which fraction is greater: 1/4 or 4/5? (a) 1/4 (b) 4/5 (c) They are equal
  37. 37.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 23 (c) 12 (d) 25
  38. 38.9 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 28 days (c) 27 days (d) 7 days
  39. 39.If x/4 + 7 = 12, what is x? (a) 20 (b) 5 (c) 41 (d) 76
  40. 40.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 46 (b) 4 (c) 65 (d) 64

Answer key

  1. 11
  2. 12
  3. 1
  4. 8 days
  5. 0.03
  6. 150 sq cm
  7. 64 sq cm
  8. 4 cm
  9. 3
  10. 29
  11. 28 min
  12. ₹486
  13. 11
  14. 120 sq cm
  15. 2 cm
  16. 56 sq cm
  17. 17
  18. 51
  19. 3
  20. 31
  21. 9.61
  22. 44
  23. ₹230
  24. 64
  25. Friday
  26. 12
  27. 196 sq cm
  28. 30%
  29. 60
  30. 21 days
  31. Tuesday
  32. 24 min
  33. 4 years
  34. ₹62
  35. Friday
  36. 4/5
  37. 23
  38. 27 days
  39. 20
  40. 64

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