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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 502 · 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.If x/4 + 10 = 20, what is x? (a) 120 (b) 10 (c) 40 (d) 70
  2. 2.What is the value of the digit 9 in 19.632? (a) 0.09 (b) 9 (c) 0.9 (d) 90
  3. 3.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 4 : ? (a) 8 (b) 6 (c) 16 (d) 20
  4. 4.Which is the greatest: 0.068, 0.86, 0.8, 0.718? (a) 0.068 (b) 0.86 (c) 0.8 (d) 0.718
  5. 5.Which is the greatest: 0.074, 0.253, 0.35, 0.3? (a) 0.074 (b) 0.253 (c) 0.35 (d) 0.3
  6. 6.If 15 June is a Thursday, what day of the week is 16 July? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  7. 7.What is the smallest number you must add to 170 to make it divisible by 3? (a) 1 (b) 2
  8. 8.In how many years will ₹3000 earn ₹720 simple interest at 8% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
  9. 9.If 26 April is a Sunday, what day of the week is 8 May? (a) Sunday (b) Friday (c) Saturday (d) Thursday
  10. 10.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  11. 11.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 25 (c) 5 (d) 1
  12. 12.The simple interest on ₹9000 for 2 years is ₹1800. What is the rate per year? (a) 9% (b) 11% (c) 20% (d) 10%
  13. 13.If 7x − 12 = 51, what is x? (a) 63 (b) 8 (c) 10 (d) 9
  14. 14.Every pair follows the same rule: 4 : 15, 7 : 48, 9 : 80. What is 8 : ? (a) 62 (b) 19 (c) 64 (d) 63
  15. 15.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  16. 16.A bag marked ₹1420 is sold at a 25% discount. What is its selling price? (a) ₹1065 (b) ₹355 (c) ₹1775 (d) ₹1395
  17. 17.What is 20% of 200? (a) 80 (b) 400 (c) 160 (d) 40
  18. 18.Which is the smallest: 0.48, 0.374, 0.026, 0.4? (a) 0.48 (b) 0.374 (c) 0.026 (d) 0.4
  19. 19.In how many years will ₹7000 earn ₹1050 simple interest at 3% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  20. 20.What is the value of the digit 2 in 12.943? (a) 0.2 (b) 20 (c) 2 (d) 0.02
  21. 21.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 21 sq cm (c) 42 sq cm (d) 80 sq cm
  22. 22.If 4 notebooks cost ₹36, how much do 9 notebooks cost? (a) ₹324 (b) ₹41 (c) ₹81 (d) ₹90
  23. 23.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 22 min (c) 2 min (d) 112 min
  24. 24.Today is Saturday. What day of the week will it be after 91 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
  25. 25.Every pair follows the same rule: 4 : 16, 6 : 36, 9 : 81. What is 7 : ? (a) 51 (b) 49 (c) 28 (d) 19
  26. 26.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 187 sq cm (d) 170 sq cm
  27. 27.What is the units digit of 2^32? (a) 8 (b) 2 (c) 4 (d) 6
  28. 28.Which fraction is greater: 3/5 or 1/8? (a) 1/8 (b) 3/5 (c) They are equal
  29. 29.What is 8/9 of 81? (a) 9 (b) 81 (c) 73 (d) 72
  30. 30.Today is Tuesday. What day of the week will it be after 25 days? (a) Sunday (b) Friday (c) Saturday (d) Monday
  31. 31.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 4 : ? (a) 112 (b) 64 (c) 65 (d) 4
  32. 32.If 24 November is a Tuesday, what day of the week is 14 December? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  33. 33.What is the units digit of 7^49? (a) 9 (b) 7 (c) 3 (d) 1
  34. 34.Which fraction is greater: 2/3 or 1/5? (a) 1/5 (b) 2/3 (c) They are equal
  35. 35.8.27 + 4.3 = ? (a) 12.47 (b) 12.67 (c) 8.7 (d) 12.57
  36. 36.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 14 min (d) 40 min
  37. 37.If 2 kites cost ₹42, how much do 5 kites cost? (a) ₹105 (b) ₹45 (c) ₹210 (d) ₹126
  38. 38.Today is Monday. What day of the week will it be after 86 days? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
  39. 39.If 5x + 4 = 2x + 40, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  40. 40.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm

Answer key

  1. 40
  2. 9
  3. 16
  4. 0.86
  5. 0.35
  6. Sunday
  7. 1
  8. 3 years
  9. Friday
  10. 30%
  11. 5
  12. 10%
  13. 9
  14. 63
  15. 30%
  16. ₹1065
  17. 40
  18. 0.026
  19. 5 years
  20. 2
  21. 80 sq cm
  22. ₹81
  23. 56 min
  24. Saturday
  25. 49
  26. 170 sq cm
  27. 6
  28. 3/5
  29. 72
  30. Saturday
  31. 64
  32. Monday
  33. 7
  34. 2/3
  35. 12.57
  36. 20 min
  37. ₹105
  38. Wednesday
  39. 12
  40. 144 sq cm

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