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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 315 · 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.What is the value of the digit 7 in 45.278? (a) 7 (b) 0.07 (c) 0.007 (d) 0.7
  2. 2.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 38 cm (d) 22 cm
  3. 3.2/3 + 2/6 = ? (a) 1 (b) 7/6 (c) 5/6 (d) 4/9
  4. 4.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  5. 5.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
  6. 6.A teacher has 12 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 12 (c) 3 (d) 30
  7. 7.6 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 12 days (d) 6 days
  8. 8.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 88% (b) 15% (c) 5% (d) 10%
  9. 9.What is the average of all the whole numbers from 43 to 75? (a) 60 (b) 16 (c) 59 (d) 32
  10. 10.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 4 cm (d) 3 cm
  11. 11.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 8 : ? (a) 44 (b) 10 (c) 64 (d) 16
  12. 12.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 64 sq cm (d) 260 sq cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  14. 14.If 8 July is a Friday, what day of the week is 21 July? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  15. 15.If 6 pens cost ₹18, how much do 2 pens cost? (a) ₹6 (b) ₹36 (c) ₹9 (d) ₹14
  16. 16.What is the average of all the whole numbers from 5 to 19? (a) 13 (b) 12 (c) 14 (d) 7
  17. 17.Which is the greatest: 0.031, 0.41, 0.338, 0.4? (a) 0.031 (b) 0.41 (c) 0.338 (d) 0.4
  18. 18.Every pair follows the same rule: 2 : 6, 5 : 9, 9 : 13. What is 7 : ? (a) 11 (b) 12 (c) 21 (d) 10
  19. 19.A bag marked ₹240 is sold at a 30% discount. What is its selling price? (a) ₹210 (b) ₹72 (c) ₹312 (d) ₹168
  20. 20.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 84 min (c) 2 min (d) 20 min
  21. 21.Which is the greatest: 0.48, 0.4, 0.066, 0.351? (a) 0.48 (b) 0.4 (c) 0.066 (d) 0.351
  22. 22.If 6x + 17 = 2x + 49, what is x? (a) 8 (b) 9 (c) 10 (d) 4
  23. 23.What is the smallest number you must add to 415 to make it divisible by 6? (a) 4 (b) 5 (c) 1 (d) 3
  24. 24.What is 75% of 160? (a) 240 (b) 120 (c) 1200 (d) 40
  25. 25.If 3x + 6 = 18, what is x? (a) 8 (b) 12 (c) 4 (d) 5
  26. 26.The simple interest on ₹7500 for 2 years is ₹1350. What is the rate per year? (a) 18% (b) 10% (c) 9% (d) 8%
  27. 27.2.81 + 2.6 = ? (a) 5.31 (b) 3.07 (c) 5.51 (d) 5.41
  28. 28.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 750 (b) 55 (c) 300 (d) 150
  29. 29.Which fraction is greater: 6/7 or 10/11? (a) 10/11 (b) 6/7 (c) They are equal
  30. 30.If 3x + 11 = x + 27, what is x? (a) 19 (b) 8 (c) 9 (d) 4
  31. 31.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  32. 32.What is the average of 46, 64, 45, 41 and 64? (a) 53 (b) 51 (c) 52 (d) 65
  33. 33.₹4000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹4480 (b) ₹4360 (c) ₹4120 (d) ₹360
  34. 34.If 4x − 16 = 8, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  35. 35.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 28 (c) 16 (d) 34
  36. 36.₹1000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹330 (b) ₹1110 (c) ₹1440 (d) ₹1330
  37. 37.If 1 March is a Monday, what day of the week is 12 March? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  38. 38.If 10 August is a Monday, what day of the week is 9 September? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  39. 39.Which fraction is greater: 5/7 or 3/5? (a) They are equal (b) 3/5 (c) 5/7
  40. 40.Every pair follows the same rule: 3 : 14, 6 : 41, 9 : 86. What is 2 : ? (a) 13 (b) 10 (c) 8 (d) 9

Answer key

  1. 0.07
  2. 44 cm
  3. 1
  4. 144 sq cm
  5. 32 sq cm
  6. 6
  7. 6 days
  8. 10%
  9. 59
  10. 3 cm
  11. 64
  12. 240 sq cm
  13. 49 sq cm
  14. Thursday
  15. ₹6
  16. 12
  17. 0.41
  18. 11
  19. ₹168
  20. 42 min
  21. 0.48
  22. 8
  23. 5
  24. 120
  25. 4
  26. 9%
  27. 5.41
  28. 150
  29. 10/11
  30. 8
  31. 14 sq cm
  32. 52
  33. ₹4360
  34. 6
  35. 34
  36. ₹1330
  37. Friday
  38. Wednesday
  39. 5/7
  40. 9

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