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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 327 · 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 units digit of 3^55? (a) 3 (b) 7 (c) 1 (d) 9
  2. 2.In how many years will ₹9500 earn ₹1140 simple interest at 4% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
  3. 3.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 55 min (d) 750 min
  4. 4.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 36 sq cm (d) 15 sq cm
  5. 5.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 21 sq cm (c) 105 sq cm (d) 42 sq cm
  6. 6.Which fraction is greater: 3/4 or 1/3? (a) 1/3 (b) 3/4 (c) They are equal
  7. 7.Every pair follows the same rule: 3 : 7, 7 : 47, 9 : 79. What is 6 : ? (a) 35 (b) 34 (c) 10 (d) 31
  8. 8.A bag marked ₹1840 is sold at a 10% discount. What is its selling price? (a) ₹1656 (b) ₹1830 (c) ₹184 (d) ₹2024
  9. 9.What is the smallest number you must add to 796 to make it divisible by 12? (a) 9 (b) 8 (c) 4 (d) 7
  10. 10.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 9 days (c) 45 days (d) 21 days
  11. 11.Which is the smallest: 0.7, 0.679, 0.095, 0.79? (a) 0.7 (b) 0.679 (c) 0.095 (d) 0.79
  12. 12.If 8x + 18 = 106, what is x? (a) 10 (b) 11 (c) 88 (d) 12
  13. 13.A teacher has 16 pencils and 40 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) 16 (d) 8
  14. 14.Which of these numbers is divisible by 4? (a) 1309 (b) 1306 (c) 1308 (d) 1314
  15. 15.If 7x + 14 = 4x + 47, what is x? (a) 3 (b) 13 (c) 12 (d) 11
  16. 16.₹2500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹2650 (b) ₹3100 (c) ₹450 (d) ₹2950
  17. 17.If 13 December is a Thursday, what day of the week is 25 December? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  18. 18.If 9x + 1 = 55, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  19. 19.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 14 days (c) 15 days (d) 9 days
  20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 15% (b) 96% (c) 20% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹720 and sells it for ₹612. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
  22. 22.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 24 (c) 1 (d) 6
  23. 23.7.81 + 1.3 = ? (a) 9.01 (b) 9.21 (c) 7.94 (d) 9.11
  24. 24.Every pair follows the same rule: 2 : 3, 5 : 24, 7 : 48. What is 8 : ? (a) 60 (b) 63 (c) 64 (d) 9
  25. 25.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 140 sq cm (d) 160 sq cm
  26. 26.If 3 notebooks cost ₹12, how much do 10 notebooks cost? (a) ₹120 (b) ₹40 (c) ₹19 (d) ₹44
  27. 27.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹2310 (b) ₹771 (c) ₹1490 (d) ₹770
  28. 28.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 84%
  29. 29.What is the value of the digit 6 in 12.675? (a) 0.006 (b) 6 (c) 0.6 (d) 0.06
  30. 30.What is the remainder when 85 is divided by 3? (a) 0 (b) 1 (c) 2
  31. 31.Which of these numbers is divisible by 4? (a) 396 (b) 394 (c) 399 (d) 402
  32. 32.Every pair follows the same rule: 2 : 13, 5 : 16, 7 : 18. What is 3 : ? (a) 15 (b) 16 (c) 13 (d) 14
  33. 33.Which is the greatest: 0.356, 0.43, 0.027, 0.4? (a) 0.356 (b) 0.43 (c) 0.027 (d) 0.4
  34. 34.3.18 + 9.1 = ? (a) 12.28 (b) 12.18 (c) 12.38 (d) 4.09
  35. 35.A bag marked ₹2000 is sold at a 40% discount. What is its selling price? (a) ₹1200 (b) ₹2800 (c) ₹1960 (d) ₹800
  36. 36.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 56 (c) 77 (d) 29
  37. 37.What is 1/3 of 33? (a) 12 (b) 11 (c) 22 (d) 10
  38. 38.If 9x + 5 = 59, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  39. 39.If 15 July is a Tuesday, what day of the week is 26 July? (a) Friday (b) Sunday (c) Monday (d) Saturday
  40. 40.If 3x + 11 = x + 27, what is x? (a) 4 (b) 19 (c) 9 (d) 8

Answer key

  1. 7
  2. 3 years
  3. 150 min
  4. 36 sq cm
  5. 90 sq cm
  6. 3/4
  7. 34
  8. ₹1656
  9. 8
  10. 5 days
  11. 0.095
  12. 11
  13. 8
  14. 1308
  15. 11
  16. ₹2950
  17. Tuesday
  18. 6
  19. 14 days
  20. 20%
  21. 15%
  22. 2
  23. 9.11
  24. 63
  25. 140 sq cm
  26. ₹40
  27. ₹770
  28. 30%
  29. 0.6
  30. 1
  31. 396
  32. 14
  33. 0.43
  34. 12.28
  35. ₹1200
  36. 77
  37. 11
  38. 6
  39. Saturday
  40. 8

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