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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 29 · 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.The simple interest on ₹10000 for 5 years is ₹6000. What is the rate per year? (a) 13% (b) 12% (c) 11% (d) 60%
  2. 2.A teacher has 35 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 35 (d) 1
  3. 3.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 60 (c) 51 (d) 12
  4. 4.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  5. 5.Every pair follows the same rule: 3 : 16, 6 : 19, 8 : 21. What is 2 : ? (a) 14 (b) 17 (c) 15 (d) 16
  6. 6.Which fraction is greater: 4/5 or 7/11? (a) 7/11 (b) 4/5 (c) They are equal
  7. 7.What is 4/5 of 15? (a) 15 (b) 13 (c) 12 (d) 3
  8. 8.If 28 January is a Wednesday, what day of the week is 11 February? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  10. 10.What is the simple interest on ₹5000 at 5% per year for 2 years? (a) ₹750 (b) ₹250 (c) ₹500 (d) ₹5500
  11. 11.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) 750 min (c) 55 min (d) 5 min
  12. 12.What is 40% of 520? (a) 208 (b) 416 (c) 312 (d) 2080
  13. 13.What is the remainder when 264 is divided by 9? (a) 2 (b) 6 (c) 4 (d) 3
  14. 14.Every pair follows the same rule: 2 : 7, 5 : 19, 9 : 35. What is 7 : ? (a) 26 (b) 27 (c) 28 (d) 12
  15. 15.If 9x + 20 = 128, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  16. 16.3/8 + 4/6 = ? (a) 13/12 (b) 1 (c) 1/2 (d) 25/24
  17. 17.The simple interest on ₹9000 for 5 years is ₹1800. What is the rate per year? (a) 20% (b) 4% (c) 5% (d) 3%
  18. 18.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 432 min (c) 42 min (d) 72 min
  19. 19.2/4 + 4/6 = ? (a) 5/4 (b) 3/5 (c) 13/12 (d) 7/6
  20. 20.If 5x + 6 = x + 18, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  21. 21.Which fraction is greater: 6/7 or 1/5? (a) 1/5 (b) 6/7 (c) They are equal
  22. 22.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 110 (b) 47 (c) 54 (d) 70
  23. 23.Today is Tuesday. What day of the week will it be after 34 days? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  24. 24.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 10 cm (d) 6 cm
  25. 25.Today is Thursday. What day of the week will it be after 68 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  26. 26.If 19 October is a Thursday, what day of the week is 11 November? (a) Friday (b) Saturday (c) Sunday (d) Monday
  27. 27.What is the smallest number you must add to 160 to make it divisible by 3? (a) 2 (b) 1
  28. 28.If x/4 + 10 = 13, what is x? (a) 3 (b) 12 (c) 92 (d) 42
  29. 29.If 3x + 5 = 2x + 6, what is x? (a) 3 (b) 11 (c) 1 (d) 2
  30. 30.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 16% (b) 10% (c) 20% (d) 15%
  31. 31.Today is Saturday. What day of the week will it be after 39 days? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  32. 32.A bag marked ₹1300 is sold at a 10% discount. What is its selling price? (a) ₹130 (b) ₹1430 (c) ₹1170 (d) ₹1290
  33. 33.What is 1/3 of 30? (a) 9 (b) 20 (c) 11 (d) 10
  34. 34.If x/2 + 11 = 19, what is x? (a) 27 (b) 60 (c) 16 (d) 8
  35. 35.Today is Thursday. What day of the week will it be after 23 days? (a) Saturday (b) Friday (c) Sunday (d) Monday
  36. 36.What is the simple interest on ₹1000 at 2% per year for 2 years? (a) ₹40 (b) ₹1040 (c) ₹60 (d) ₹20
  37. 37.If 4 kites cost ₹36, how much do 7 kites cost? (a) ₹252 (b) ₹72 (c) ₹63 (d) ₹39
  38. 38.Every pair follows the same rule: 2 : 7, 3 : 9, 9 : 21. What is 7 : ? (a) 16 (b) 18 (c) 12 (d) 17
  39. 39.The simple interest on ₹9000 for 2 years is ₹1260. What is the rate per year? (a) 8% (b) 14% (c) 7% (d) 6%
  40. 40.₹3500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹350 (b) ₹3920 (c) ₹3570 (d) ₹3850

Answer key

  1. 12%
  2. 7
  3. 60
  4. 30%
  5. 15
  6. 4/5
  7. 12
  8. Wednesday
  9. 100 sq cm
  10. ₹500
  11. 150 min
  12. 208
  13. 3
  14. 27
  15. 12
  16. 25/24
  17. 4%
  18. 72 min
  19. 7/6
  20. 3
  21. 6/7
  22. 110
  23. Monday
  24. 5 cm
  25. Tuesday
  26. Saturday
  27. 2
  28. 12
  29. 1
  30. 15%
  31. Wednesday
  32. ₹1170
  33. 10
  34. 16
  35. Saturday
  36. ₹40
  37. ₹63
  38. 17
  39. 7%
  40. ₹3850

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