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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 250 · 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 average of 34, 42, 25 and 55? (a) 40 (b) 39 (c) 38 (d) 52
  2. 2.Every pair follows the same rule: 2 : 15, 4 : 25, 5 : 30. What is 8 : ? (a) 21 (b) 44 (c) 45 (d) 46
  3. 3.What is the smallest number you must add to 61 to make it divisible by 3? (a) 1 (b) 2
  4. 4.Every pair follows the same rule: 3 : 9, 5 : 25, 6 : 36. What is 4 : ? (a) 14 (b) 12 (c) 16 (d) 10
  5. 5.If 5x + 19 = 2x + 55, what is x? (a) 12 (b) 13 (c) 14 (d) 11
  6. 6.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 38 (c) 56 (d) 80
  7. 7.Every pair follows the same rule: 2 : 16, 6 : 32, 7 : 36. What is 3 : ? (a) 21 (b) 24 (c) 17 (d) 20
  8. 8.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 6 (b) 216 (c) 174 (d) 217
  9. 9.What is 2/3 of 33? (a) 11 (b) 33 (c) 23 (d) 22
  10. 10.₹10000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹11800 (b) ₹12700 (c) ₹10900 (d) ₹1800
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  12. 12.Every pair follows the same rule: 3 : 16, 4 : 19, 6 : 25. What is 8 : ? (a) 32 (b) 31 (c) 21 (d) 30
  13. 13.₹520 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹260 (b) ₹40 (c) ₹360 (d) ₹160
  14. 14.What is the simple interest on ₹2000 at 11% per year for 5 years? (a) ₹1100 (b) ₹1320 (c) ₹220 (d) ₹3100
  15. 15.If 3x − 2 = 34, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  16. 16.What is the remainder when 73 is divided by 6? (a) 5 (b) 0 (c) 2 (d) 1
  17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 45 sq cm (d) 13 sq cm
  18. 18.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹215 (b) ₹1075 (c) ₹645 (d) ₹835
  19. 19.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 3 cm (c) 6 cm (d) 4 cm
  20. 20.3/4 + 2/6 = ? (a) 7/6 (b) 1/2 (c) 13/12 (d) 1
  21. 21.In how many years will ₹2000 earn ₹300 simple interest at 3% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  22. 22.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 30 cm (d) 23 cm
  23. 23.Today is Thursday. What day of the week will it be after 36 days? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  24. 24.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 27 (b) 60 (c) 180 (d) 120
  25. 25.Which is the greatest: 0.54, 0.443, 0.074, 0.5? (a) 0.54 (b) 0.443 (c) 0.074 (d) 0.5
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  27. 27.Which fraction is greater: 1/11 or 1/4? (a) 1/11 (b) They are equal (c) 1/4
  28. 28.A teacher has 40 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 24 (c) 40 (d) 8
  29. 29.If 17 April is a Tuesday, what day of the week is 3 May? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  30. 30.What is 15% of 620? (a) 93 (b) 527 (c) 930 (d) 186
  31. 31.What is the remainder when 73 is divided by 5? (a) 3 (b) 1 (c) 4 (d) 2
  32. 32.Which is the greatest: 0.011, 0.4, 0.41, 0.396? (a) 0.011 (b) 0.4 (c) 0.41 (d) 0.396
  33. 33.Which fraction is greater: 5/6 or 5/11? (a) They are equal (b) 5/11 (c) 5/6
  34. 34.Today is Tuesday. What day of the week will it be after 20 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  35. 35.Which is the greatest: 0.2, 0.119, 0.074, 0.23? (a) 0.2 (b) 0.119 (c) 0.074 (d) 0.23
  36. 36.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  37. 37.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm
  38. 38.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 66 (b) 57 (c) 15 (d) 54
  39. 39.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 500 min (c) 5 min (d) 45 min
  40. 40.6 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 23 days (b) 8 days (c) 22 days (d) 14 days

Answer key

  1. 39
  2. 45
  3. 2
  4. 16
  5. 12
  6. 80
  7. 20
  8. 216
  9. 22
  10. ₹11800
  11. 196 sq cm
  12. 31
  13. ₹360
  14. ₹1100
  15. 12
  16. 1
  17. 36 sq cm
  18. ₹645
  19. 3 cm
  20. 13/12
  21. 5 years
  22. 30 cm
  23. Friday
  24. 60
  25. 0.54
  26. 169 sq cm
  27. 1/4
  28. 8
  29. Thursday
  30. 93
  31. 3
  32. 0.41
  33. 5/6
  34. Monday
  35. 0.23
  36. 49 sq cm
  37. 50 cm
  38. 66
  39. 100 min
  40. 22 days

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