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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 651 · 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.In how many years will ₹8000 earn ₹4400 simple interest at 11% per year? (a) 4 years (b) 10 years (c) 5 years (d) 6 years
  2. 2.Which fraction is greater: 6/7 or 4/5? (a) They are equal (b) 6/7 (c) 4/5
  3. 3.What is 10% of 160? (a) 160 (b) 144 (c) 32 (d) 16
  4. 4.In how many years will ₹1500 earn ₹720 simple interest at 12% per year? (a) 5 years (b) 4 years (c) 3 years (d) 8 years
  5. 5.A bag marked ₹860 is sold at a 30% discount. What is its selling price? (a) ₹602 (b) ₹1118 (c) ₹258 (d) ₹830
  6. 6.If 5x + 16 = x + 32, what is x? (a) 12 (b) 4 (c) 5 (d) 6
  7. 7.What is the remainder when 555 is divided by 7? (a) 5 (b) 2 (c) 1 (d) 3
  8. 8.If 4 mangoes cost ₹36, how much do 6 mangoes cost? (a) ₹54 (b) ₹38 (c) ₹216 (d) ₹63
  9. 9.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 18% (b) 10% (c) 15% (d) 5%
  10. 10.Two ribbons are 21 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 21 cm (c) 7 cm (d) 1 cm
  11. 11.Today is Monday. What day of the week will it be after 41 days? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  12. 12.What is the average of 20, 33, 18 and 53? (a) 32 (b) 33 (c) 30 (d) 31
  13. 13.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 39 (c) 27 (d) 14
  14. 14.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 43 (b) 25 (c) 20 (d) 27
  15. 15.Every pair follows the same rule: 2 : 4, 7 : 49, 8 : 64. What is 9 : ? (a) 79 (b) 81 (c) 11 (d) 18
  16. 16.What is the smallest number you must add to 777 to make it divisible by 11? (a) 5 (b) 7 (c) 4 (d) 3
  17. 17.What is 15% of 900? (a) 1350 (b) 270 (c) 135 (d) 765
  18. 18.Which fraction is greater: 2/3 or 3/4? (a) 2/3 (b) They are equal (c) 3/4
  19. 19.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 14 cm (d) 8 cm
  20. 20.Today is Wednesday. What day of the week will it be after 66 days? (a) Friday (b) Sunday (c) Monday (d) Saturday
  21. 21.A bag marked ₹1440 is sold at a 50% discount. What is its selling price? (a) ₹721 (b) ₹1390 (c) ₹2160 (d) ₹720
  22. 22.What is the units digit of 7^30? (a) 7 (b) 3 (c) 9 (d) 1
  23. 23.A shopkeeper buys a toy for ₹500 and sells it for ₹550. What is his profit percent? (a) 50% (b) 5% (c) 15% (d) 10%
  24. 24.Every pair follows the same rule: 2 : 5, 5 : 26, 7 : 50. What is 3 : ? (a) 10 (b) 2 (c) 6 (d) 11
  25. 25.Every pair follows the same rule: 2 : 12, 4 : 24, 8 : 72. What is 3 : ? (a) 13 (b) 18 (c) 17 (d) 12
  26. 26.What is the average of all the whole numbers from 60 to 92? (a) 77 (b) 32 (c) 76 (d) 16
  27. 27.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 4 (c) 12 (d) 2
  28. 28.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 2 cm (d) 3 cm
  29. 29.What is the simple interest on ₹1500 at 6% per year for 4 years? (a) ₹90 (b) ₹360 (c) ₹1860 (d) ₹450
  30. 30.Which is the greatest: 0.7, 0.035, 0.79, 0.633? (a) 0.7 (b) 0.035 (c) 0.79 (d) 0.633
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  32. 32.If 4 mangoes cost ₹64, how much do 2 mangoes cost? (a) ₹62 (b) ₹48 (c) ₹128 (d) ₹32
  33. 33.Every pair follows the same rule: 3 : 9, 6 : 36, 9 : 81. What is 8 : ? (a) 14 (b) 24 (c) 66 (d) 64
  34. 34.A bag marked ₹740 is sold at a 10% discount. What is its selling price? (a) ₹74 (b) ₹814 (c) ₹730 (d) ₹666
  35. 35.What is the average of 51, 41, 51, 55 and 77? (a) 57 (b) 56 (c) 55 (d) 54
  36. 36.What is the average of 46, 50, 29, 35, 49 and 13? (a) 39 (b) 36 (c) 38 (d) 37
  37. 37.A teacher has 8 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 24 (c) 4 (d) 2
  38. 38.What is 5/9 of 18? (a) 10 (b) 12 (c) 2 (d) 8
  39. 39.Which fraction is greater: 2/9 or 8/11? (a) They are equal (b) 2/9 (c) 8/11
  40. 40.A teacher has 40 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 4 (c) 16 (d) 8

Answer key

  1. 5 years
  2. 6/7
  3. 16
  4. 4 years
  5. ₹602
  6. 4
  7. 2
  8. ₹54
  9. 10%
  10. 7 cm
  11. Sunday
  12. 31
  13. 39
  14. 43
  15. 81
  16. 4
  17. 135
  18. 3/4
  19. 7 cm
  20. Saturday
  21. ₹720
  22. 9
  23. 10%
  24. 10
  25. 17
  26. 76
  27. 4
  28. 2 cm
  29. ₹360
  30. 0.79
  31. 64 sq cm
  32. ₹32
  33. 64
  34. ₹666
  35. 55
  36. 37
  37. 4
  38. 10
  39. 8/11
  40. 8

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