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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 297 · 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.₹1000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹440 (b) ₹1550 (c) ₹1110 (d) ₹1440
  2. 2.Which fraction is greater: 2/5 or 5/8? (a) They are equal (b) 2/5 (c) 5/8
  3. 3.Which fraction is greater: 1/5 or 4/9? (a) 4/9 (b) They are equal (c) 1/5
  4. 4.Every pair follows the same rule: 5 : 28, 6 : 39, 9 : 84. What is 4 : ? (a) 27 (b) 19 (c) 20 (d) 9
  5. 5.Which of these numbers is divisible by 4? (a) 2181 (b) 2185 (c) 2180 (d) 2177
  6. 6.If 7x + 17 = 5x + 31, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  7. 7.In how many years will ₹4500 earn ₹945 simple interest at 7% per year? (a) 3 years (b) 2 years (c) 4 years (d) 6 years
  8. 8.If 2x + 16 = 34, what is x? (a) 25 (b) 10 (c) 9 (d) 18
  9. 9.If 3x − 23 = 1, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  11. 11.If 2x + 24 = 52, what is x? (a) 28 (b) 14 (c) 38 (d) 15
  12. 12.If 6 notebooks cost ₹60, how much do 11 notebooks cost? (a) ₹110 (b) ₹65 (c) ₹120 (d) ₹660
  13. 13.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 30% (b) 25% (c) 95% (d) 20%
  14. 14.1/2 + 2/5 = ? (a) 4/5 (b) 9/10 (c) 1 (d) 3/7
  15. 15.If 4x + 4 = 2x + 18, what is x? (a) 11 (b) 7 (c) 9 (d) 8
  16. 16.If 12 July is a Saturday, what day of the week is 10 August? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  17. 17.Today is Sunday. What day of the week will it be after 37 days? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  18. 18.If 2x − 2 = 2, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  19. 19.1/6 + 1/3 = ? (a) 1/3 (b) 2/3 (c) 2/9 (d) 1/2
  20. 20.1.91 + 2.7 = ? (a) 4.61 (b) 2.18 (c) 4.71 (d) 4.51
  21. 21.If 6 mangoes cost ₹72, how much do 2 mangoes cost? (a) ₹36 (b) ₹144 (c) ₹24 (d) ₹68
  22. 22.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) 40 min (b) 14 min (c) 2 min (d) 20 min
  23. 23.What is the units digit of 8^45? (a) 2 (b) 4 (c) 8 (d) 6
  24. 24.Every pair follows the same rule: 3 : 10, 4 : 12, 7 : 18. What is 6 : ? (a) 13 (b) 16 (c) 15 (d) 17
  25. 25.If 6x + 6 = 48, what is x? (a) 42 (b) 7 (c) 9 (d) 8
  26. 26.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 29 cm (d) 17 cm
  27. 27.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 16 (b) 70 (c) 49 (d) 37
  28. 28.What is the units digit of 3^24? (a) 9 (b) 7 (c) 1 (d) 3
  29. 29.A teacher has 44 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 44 (c) 220 (d) 1
  30. 30.Every pair follows the same rule: 5 : 10, 7 : 14, 8 : 16. What is 9 : ? (a) 18 (b) 17 (c) 14 (d) 19
  31. 31.If x/5 + 10 = 12, what is x? (a) 2 (b) 50 (c) 10 (d) 110
  32. 32.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 20% (c) 25% (d) 30%
  33. 33.If 8x + 11 = 115, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  34. 34.What is the average of 13, 33, 18 and 48? (a) 30 (b) 28 (c) 29 (d) 27
  35. 35.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 38 cm (d) 20 cm
  36. 36.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 12 cm (c) 65 cm (d) 6 cm
  37. 37.The simple interest on ₹2500 for 4 years is ₹900. What is the rate per year? (a) 9% (b) 36% (c) 8% (d) 10%
  38. 38.What is 30% of 680? (a) 2040 (b) 204 (c) 476 (d) 408
  39. 39.What is 2/3 of 15? (a) 10 (b) 5 (c) 11 (d) 15
  40. 40.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 28 days (b) 18 days (c) 10 days (d) 7 days

Answer key

  1. ₹1440
  2. 5/8
  3. 4/9
  4. 19
  5. 2180
  6. 7
  7. 3 years
  8. 9
  9. 8
  10. 169 sq cm
  11. 14
  12. ₹110
  13. 25%
  14. 9/10
  15. 7
  16. Sunday
  17. Tuesday
  18. 2
  19. 1/2
  20. 4.61
  21. ₹24
  22. 20 min
  23. 8
  24. 16
  25. 7
  26. 34 cm
  27. 49
  28. 1
  29. 11
  30. 18
  31. 10
  32. 25%
  33. 13
  34. 28
  35. 40 cm
  36. 6 cm
  37. 9%
  38. 204
  39. 10
  40. 28 days

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