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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 570 · 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.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 27 (c) 50 (d) 72
  2. 2.6/8 + 5/6 = ? (a) 11/14 (b) 37/24 (c) 19/12 (d) 13/8
  3. 3.What is 5/8 of 16? (a) 6 (b) 12 (c) 2 (d) 10
  4. 4.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  5. 5.If 6x − 6 = 36, what is x? (a) 7 (b) 42 (c) 5 (d) 8
  6. 6.If 6 July is a Tuesday, what day of the week is 20 July? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  7. 7.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 48 cm (d) 35 cm
  8. 8.If 3 kites cost ₹27, how much do 7 kites cost? (a) ₹63 (b) ₹31 (c) ₹72 (d) ₹189
  9. 9.Today is Sunday. What day of the week will it be after 27 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
  10. 10.What is the value of the digit 4 in 54.618? (a) 4 (b) 40 (c) 0.04 (d) 0.4
  11. 11.What is the value of the digit 8 in 62.738? (a) 0.08 (b) 8 (c) 0.008 (d) 0.8
  12. 12.What is the remainder when 544 is divided by 11? (a) 6 (b) 5 (c) 4 (d) 7
  13. 13.What is the value of the digit 8 in 64.538? (a) 0.08 (b) 8 (c) 0.008 (d) 0.8
  14. 14.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  15. 15.If 2 notebooks cost ₹50, how much do 10 notebooks cost? (a) ₹275 (b) ₹250 (c) ₹500 (d) ₹58
  16. 16.₹7000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹7420 (b) ₹8260 (c) ₹1260 (d) ₹8680
  17. 17.What is the units digit of 9^55? (a) 8 (b) 7 (c) 9 (d) 1
  18. 18.A teacher has 42 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 336 (b) 42 (c) 6 (d) 3
  19. 19.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 42 (b) 72 (c) 144 (d) 432
  20. 20.Which is the smallest: 0.36, 0.218, 0.032, 0.3? (a) 0.36 (b) 0.218 (c) 0.032 (d) 0.3
  21. 21.A bag marked ₹940 is sold at a 15% discount. What is its selling price? (a) ₹925 (b) ₹1081 (c) ₹799 (d) ₹141
  22. 22.A shopkeeper buys a toy for ₹460 and sells it for ₹276. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  23. 23.What is the average of 54, 80, 72, 71 and 53? (a) 65 (b) 67 (c) 66 (d) 68
  24. 24.If 10 May is a Wednesday, what day of the week is 25 May? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  25. 25.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 48 (c) 20 (d) 24
  26. 26.What is the value of the digit 1 in 31.789? (a) 0.1 (b) 1 (c) 0.01 (d) 10
  27. 27.In how many years will ₹4000 earn ₹800 simple interest at 10% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
  28. 28.What is the average of all the whole numbers from 40 to 80? (a) 61 (b) 60 (c) 20 (d) 40
  29. 29.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
  30. 30.₹1500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹1740 (b) ₹1620 (c) ₹1860 (d) ₹240
  31. 31.What is the units digit of 3^35? (a) 3 (b) 7 (c) 9 (d) 1
  32. 32.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
  33. 33.9.99 + 5.6 = ? (a) 15.69 (b) 10.55 (c) 15.49 (d) 15.59
  34. 34.What is the simple interest on ₹4000 at 10% per year for 3 years? (a) ₹5200 (b) ₹400 (c) ₹1600 (d) ₹1200
  35. 35.Every pair follows the same rule: 7 : 21, 8 : 24, 9 : 27. What is 3 : ? (a) 8 (b) 10 (c) 17 (d) 9
  36. 36.₹5500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹1320 (b) ₹6820 (c) ₹7480 (d) ₹6160
  37. 37.What is the average of all the whole numbers from 35 to 69? (a) 53 (b) 52 (c) 17 (d) 34
  38. 38.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 21 (c) 29 (d) 7
  39. 39.The simple interest on ₹1000 for 4 years is ₹440. What is the rate per year? (a) 11% (b) 10% (c) 12% (d) 44%
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 10 cm (d) 16 cm

Answer key

  1. 72
  2. 19/12
  3. 10
  4. 25%
  5. 7
  6. Tuesday
  7. 38 cm
  8. ₹63
  9. Saturday
  10. 4
  11. 0.008
  12. 5
  13. 0.008
  14. 169 sq cm
  15. ₹250
  16. ₹8260
  17. 9
  18. 6
  19. 72
  20. 0.032
  21. ₹799
  22. 40%
  23. 66
  24. Thursday
  25. 24
  26. 1
  27. 2 years
  28. 60
  29. 40%
  30. ₹1740
  31. 7
  32. 8 cm
  33. 15.59
  34. ₹1200
  35. 9
  36. ₹6820
  37. 52
  38. 21
  39. 11%
  40. 20 cm

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