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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 208 · 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.Two ribbons are 44 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 44 cm (b) 1 cm (c) 11 cm (d) 220 cm
  2. 2.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 12 days (c) 3 days (d) 2 days
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  4. 4.1/2 + 5/9 = ? (a) 1 (b) 6/11 (c) 19/18 (d) 10/9
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  6. 6.Which fraction is greater: 1/3 or 4/5? (a) 4/5 (b) They are equal (c) 1/3
  7. 7.If 4x + 5 = 65, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  8. 8.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 35 cm (c) 40 cm (d) 75 cm
  9. 9.5.06 + 7.5 = ? (a) 5.81 (b) 12.46 (c) 12.66 (d) 12.56
  10. 10.A bag marked ₹1980 is sold at a 30% discount. What is its selling price? (a) ₹594 (b) ₹1386 (c) ₹2574 (d) ₹1950
  11. 11.2.08 + 1.5 = ? (a) 3.68 (b) 3.58 (c) 2.23 (d) 3.48
  12. 12.1/4 + 7/8 = ? (a) 2/3 (b) 5/4 (c) 9/8 (d) 1
  13. 13.If 7x + 7 = 91, what is x? (a) 12 (b) 14 (c) 84 (d) 13
  14. 14.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 47 (b) 27 (c) 3 (d) 28
  15. 15.₹430 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹301 (d) ₹129
  16. 16.If 5 pens cost ₹25, how much do 2 pens cost? (a) ₹15 (b) ₹50 (c) ₹10 (d) ₹22
  17. 17.5.65 + 4.1 = ? (a) 9.75 (b) 9.65 (c) 9.85 (d) 6.06
  18. 18.What is the average of 68, 80, 66 and 70? (a) 72 (b) 73 (c) 71 (d) 70
  19. 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 143 cm (d) 13 cm
  20. 20.If 19 January is a Monday, what day of the week is 5 February? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
  21. 21.8.09 + 9.6 = ? (a) 17.69 (b) 9.05 (c) 17.59 (d) 17.79
  22. 22.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 40 sq cm (d) 91 sq cm
  23. 23.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  24. 24.Which of these numbers is divisible by 6? (a) 463 (b) 462 (c) 459 (d) 469
  25. 25.1/2 + 5/6 = ? (a) 4/3 (b) 7/6 (c) 3/4 (d) 3/2
  26. 26.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 80%
  27. 27.What is 2/7 of 28? (a) 12 (b) 4 (c) 8 (d) 20
  28. 28.If 8 kites cost ₹184, how much do 7 kites cost? (a) ₹183 (b) ₹161 (c) ₹184 (d) ₹1288
  29. 29.What is the smallest number you must add to 531 to make it divisible by 10? (a) 9 (b) 7 (c) 1 (d) 8
  30. 30.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 55 min (c) 700 min (d) 140 min
  31. 31.What is the smallest number you must add to 118 to make it divisible by 5? (a) 3 (b) 4 (c) 1 (d) 2
  32. 32.What is the average of all the whole numbers from 40 to 48? (a) 45 (b) 4 (c) 44 (d) 8
  33. 33.A bag marked ₹800 is sold at a 40% discount. What is its selling price? (a) ₹480 (b) ₹760 (c) ₹1120 (d) ₹320
  34. 34.If 6x − 28 = 26, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  35. 35.Every pair follows the same rule: 4 : 16, 6 : 36, 9 : 81. What is 7 : ? (a) 19 (b) 49 (c) 51 (d) 28
  36. 36.A bag marked ₹1640 is sold at a 40% discount. What is its selling price? (a) ₹984 (b) ₹1600 (c) ₹656 (d) ₹2296
  37. 37.The simple interest on ₹7000 for 2 years is ₹420. What is the rate per year? (a) 4% (b) 2% (c) 3% (d) 6%
  38. 38.₹480 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹240 (b) ₹144 (c) ₹48 (d) ₹336
  39. 39.In how many years will ₹7500 earn ₹1200 simple interest at 8% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years
  40. 40.What is 1/3 of 6? (a) 3 (b) 1 (c) 2 (d) 4

Answer key

  1. 11 cm
  2. 3 days
  3. 49 sq cm
  4. 19/18
  5. 196 sq cm
  6. 4/5
  7. 15
  8. 40 cm
  9. 12.56
  10. ₹1386
  11. 3.58
  12. 9/8
  13. 12
  14. 27
  15. ₹301
  16. ₹10
  17. 9.75
  18. 71
  19. 12 cm
  20. Thursday
  21. 17.69
  22. 91 sq cm
  23. 9 cm
  24. 462
  25. 4/3
  26. 25%
  27. 8
  28. ₹161
  29. 9
  30. 140 min
  31. 2
  32. 44
  33. ₹480
  34. 9
  35. 49
  36. ₹984
  37. 3%
  38. ₹336
  39. 2 years
  40. 2

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