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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 90 · 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 remainder when 263 is divided by 10? (a) 3 (b) 7 (c) 4 (d) 2
  2. 2.In how many years will ₹6000 earn ₹540 simple interest at 3% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
  3. 3.Every pair follows the same rule: 2 : 6, 3 : 11, 9 : 83. What is 6 : ? (a) 47 (b) 10 (c) 38 (d) 18
  4. 4.If 7x + 27 = 83, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  5. 5.4.73 + 1.9 = ? (a) 6.53 (b) 4.92 (c) 6.73 (d) 6.63
  6. 6.What is the average of 16, 20, 38 and 42? (a) 30 (b) 31 (c) 28 (d) 29
  7. 7.What is the value of the digit 7 in 17.543? (a) 7 (b) 70 (c) 0.07 (d) 0.7
  8. 8.What is 1/5 of 15? (a) 12 (b) 3 (c) 4 (d) 6
  9. 9.What is 15% of 920? (a) 1380 (b) 782 (c) 276 (d) 138
  10. 10.What is the smallest number you must add to 310 to make it divisible by 11? (a) 10 (b) 9 (c) 2 (d) 8
  11. 11.If 19 September is a Monday, what day of the week is 12 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  12. 12.What is 1/6 of 24? (a) 5 (b) 8 (c) 4 (d) 20
  13. 13.Which of these numbers is divisible by 3? (a) 751 (b) 749 (c) 755 (d) 750
  14. 14.The simple interest on ₹7000 for 2 years is ₹1540. What is the rate per year? (a) 12% (b) 22% (c) 10% (d) 11%
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
  16. 16.In how many years will ₹6000 earn ₹360 simple interest at 3% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
  17. 17.What is 5% of 700? (a) 70 (b) 35 (c) 350 (d) 665
  18. 18.What is the smallest number you must add to 175 to make it divisible by 6? (a) 1 (b) 3 (c) 5 (d) 4
  19. 19.Every pair follows the same rule: 2 : 8, 5 : 11, 8 : 14. What is 7 : ? (a) 28 (b) 14 (c) 12 (d) 13
  20. 20.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 4 days (d) 6 days
  21. 21.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) 20 min (b) 84 min (c) 42 min (d) 2 min
  22. 22.What is 10% of 740? (a) 740 (b) 74 (c) 148 (d) 666
  23. 23.2/6 + 1/4 = ? (a) 3/10 (b) 1/2 (c) 7/12 (d) 2/3
  24. 24.In how many years will ₹5500 earn ₹1540 simple interest at 7% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
  25. 25.Which fraction is greater: 2/11 or 1/8? (a) 2/11 (b) 1/8 (c) They are equal
  26. 26.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 21 cm (d) 26 cm
  27. 27.Every pair follows the same rule: 4 : 19, 5 : 23, 9 : 39. What is 2 : ? (a) 12 (b) 10 (c) 11 (d) 17
  28. 28.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 25 cm (d) 40 cm
  29. 29.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 64 cm (c) 10 cm (d) 5 cm
  30. 30.₹238 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹170 (b) ₹68 (c) ₹34 (d) ₹119
  31. 31.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 16 cm (c) 32 cm (d) 28 cm
  32. 32.If x/4 + 14 = 18, what is x? (a) 16 (b) 128 (c) 4 (d) 58
  33. 33.If 8 notebooks cost ₹168, how much do 3 notebooks cost? (a) ₹163 (b) ₹504 (c) ₹63 (d) ₹84
  34. 34.1/2 + 1/2 = ? (a) 1 (b) 1/2 (c) 2 (d) 3/2
  35. 35.What is the units digit of 7^12? (a) 1 (b) 3 (c) 9 (d) 7
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  37. 37.Today is Saturday. What day of the week will it be after 22 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  38. 38.Two ribbons are 35 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 1 cm (c) 210 cm (d) 35 cm
  39. 39.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 6 (b) 216 (c) 217 (d) 174
  40. 40.Every pair follows the same rule: 2 : 10, 8 : 22, 9 : 24. What is 5 : ? (a) 25 (b) 16 (c) 17 (d) 13

Answer key

  1. 3
  2. 3 years
  3. 38
  4. 8
  5. 6.63
  6. 29
  7. 7
  8. 3
  9. 138
  10. 9
  11. Wednesday
  12. 4
  13. 750
  14. 11%
  15. 32 sq cm
  16. 2 years
  17. 35
  18. 5
  19. 13
  20. 5 days
  21. 42 min
  22. 74
  23. 7/12
  24. 4 years
  25. 2/11
  26. 26 cm
  27. 11
  28. 50 cm
  29. 5 cm
  30. ₹170
  31. 32 cm
  32. 16
  33. ₹63
  34. 1
  35. 1
  36. 196 sq cm
  37. Sunday
  38. 7 cm
  39. 216
  40. 16

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