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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 600 · 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: 4 : 16, 8 : 64, 9 : 81. What is 2 : ? (a) 8 (b) 4 (c) 5 (d) 14
  2. 2.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 63 min (c) 30 min (d) 3 min
  3. 3.Which is the smallest: 0.326, 0.4, 0.023, 0.47? (a) 0.326 (b) 0.4 (c) 0.023 (d) 0.47
  4. 4.In how many years will ₹9500 earn ₹1330 simple interest at 7% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  6. 6.What is the simple interest on ₹4500 at 5% per year for 5 years? (a) ₹1125 (b) ₹225 (c) ₹1350 (d) ₹5625
  7. 7.What is the smallest number you must add to 107 to make it divisible by 3? (a) 2 (b) 1
  8. 8.6/7 + 2/3 = ? (a) 32/21 (b) 4/5 (c) 11/7 (d) 31/21
  9. 9.₹1000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹1070 (b) ₹140 (c) ₹1140 (d) ₹1210
  10. 10.If 9x − 19 = 44, what is x? (a) 7 (b) 63 (c) 6 (d) 8
  11. 11.What is the simple interest on ₹7000 at 4% per year for 4 years? (a) ₹1400 (b) ₹280 (c) ₹1120 (d) ₹8120
  12. 12.9.38 + 6.4 = ? (a) 15.78 (b) 15.68 (c) 10.02 (d) 15.88
  13. 13.What is the smallest number you must add to 292 to make it divisible by 7? (a) 1 (b) 5 (c) 2 (d) 3
  14. 14.What is the simple interest on ₹7500 at 7% per year for 3 years? (a) ₹9075 (b) ₹1575 (c) ₹525 (d) ₹2100
  15. 15.If 7x − 2 = 12, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  16. 16.Every pair follows the same rule: 2 : 12, 6 : 20, 8 : 24. What is 9 : ? (a) 19 (b) 54 (c) 26 (d) 27
  17. 17.What is the remainder when 575 is divided by 9? (a) 1 (b) 7 (c) 8 (d) 6
  18. 18.A teacher has 16 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 56 (b) 4 (c) 16 (d) 8
  19. 19.What is the value of the digit 5 in 59.637? (a) 0.5 (b) 50 (c) 0.05 (d) 5
  20. 20.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 28 (b) 40 (c) 33 (d) 54
  21. 21.Every pair follows the same rule: 2 : 14, 4 : 16, 6 : 18. What is 9 : ? (a) 63 (b) 22 (c) 20 (d) 21
  22. 22.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 33 cm (c) 19 cm (d) 70 cm
  23. 23.Which fraction is greater: 6/11 or 2/3? (a) 6/11 (b) 2/3 (c) They are equal
  24. 24.If 23 April is a Monday, what day of the week is 2 May? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  25. 25.₹5500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹5940 (b) ₹2200 (c) ₹8140 (d) ₹7700
  26. 26.Which fraction is greater: 1/9 or 1/5? (a) They are equal (b) 1/5 (c) 1/9
  27. 27.Which is the smallest: 0.54, 0.5, 0.448, 0.021? (a) 0.54 (b) 0.5 (c) 0.448 (d) 0.021
  28. 28.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 32 min (b) 4 min (c) 60 min (d) 240 min
  29. 29.Today is Wednesday. What day of the week will it be after 24 days? (a) Monday (b) Sunday (c) Saturday (d) Friday
  30. 30.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  31. 31.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  32. 32.Which fraction is greater: 7/9 or 2/3? (a) They are equal (b) 2/3 (c) 7/9
  33. 33.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 90 min (c) 21 min (d) 30 min
  34. 34.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 20 (c) 24 (d) 96
  35. 35.Every pair follows the same rule: 4 : 22, 7 : 55, 9 : 87. What is 2 : ? (a) 10 (b) 9 (c) 11 (d) 20
  36. 36.Every pair follows the same rule: 5 : 25, 6 : 36, 7 : 49. What is 2 : ? (a) 5 (b) 10 (c) 4 (d) 22
  37. 37.If 3 July is a Saturday, what day of the week is 11 July? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  38. 38.2/3 + 1/8 = ? (a) 3/4 (b) 19/24 (c) 5/6 (d) 3/11
  39. 39.What is the simple interest on ₹2000 at 6% per year for 3 years? (a) ₹2360 (b) ₹480 (c) ₹360 (d) ₹120
  40. 40.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 6% (b) 5% (c) 29% (d) 10%

Answer key

  1. 4
  2. 63 min
  3. 0.023
  4. 2 years
  5. 225 sq cm
  6. ₹1125
  7. 1
  8. 32/21
  9. ₹1140
  10. 7
  11. ₹1120
  12. 15.78
  13. 2
  14. ₹1575
  15. 2
  16. 26
  17. 8
  18. 8
  19. 50
  20. 54
  21. 21
  22. 38 cm
  23. 2/3
  24. Wednesday
  25. ₹7700
  26. 1/5
  27. 0.021
  28. 60 min
  29. Saturday
  30. 18 sq cm
  31. 169 sq cm
  32. 7/9
  33. 30 min
  34. 24
  35. 10
  36. 4
  37. Sunday
  38. 19/24
  39. ₹360
  40. 5%

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