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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 101 · 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.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 64 sq cm (d) 260 sq cm
  2. 2.4.13 + 2.1 = ? (a) 6.13 (b) 6.23 (c) 6.33 (d) 4.34
  3. 3.Every pair follows the same rule: 2 : 5, 4 : 13, 8 : 29. What is 3 : ? (a) 8 (b) 6 (c) 10 (d) 9
  4. 4.In how many years will ₹8500 earn ₹4675 simple interest at 11% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  5. 5.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 72 cm (c) 6 cm (d) 10 cm
  6. 6.A teacher has 22 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 11 (c) 77 (d) 22
  7. 7.If 3 kites cost ₹30, how much do 5 kites cost? (a) ₹150 (b) ₹50 (c) ₹60 (d) ₹32
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  9. 9.What is the average of all the whole numbers from 16 to 56? (a) 40 (b) 37 (c) 36 (d) 20
  10. 10.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 209 sq cm (d) 190 sq cm
  11. 11.₹170 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹17 (b) ₹119 (c) ₹51 (d) ₹85
  12. 12.What is the average of 58, 72, 59, 78 and 78? (a) 71 (b) 68 (c) 70 (d) 69
  13. 13.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹390 (b) ₹130 (c) ₹210 (d) ₹131
  14. 14.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 13 (c) 29 (d) 20
  15. 15.A bag marked ₹1900 is sold at a 15% discount. What is its selling price? (a) ₹2185 (b) ₹1885 (c) ₹1615 (d) ₹285
  16. 16.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 20 (c) 40 (d) 14
  17. 17.Every pair follows the same rule: 4 : 22, 5 : 31, 9 : 87. What is 3 : ? (a) 21 (b) 15 (c) 3 (d) 16
  18. 18.If 7x + 16 = 93, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  19. 19.What is the value of the digit 4 in 94.865? (a) 4 (b) 0.4 (c) 0.04 (d) 40
  20. 20.What is the average of all the whole numbers from 52 to 74? (a) 22 (b) 11 (c) 64 (d) 63
  21. 21.Two ribbons are 54 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 3 cm (c) 378 cm (d) 54 cm
  22. 22.What is the remainder when 303 is divided by 5? (a) 1 (b) 3 (c) 4 (d) 2
  23. 23.Two ribbons are 10 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 8 cm (c) 1 cm (d) 2 cm
  24. 24.What is the average of all the whole numbers from 48 to 86? (a) 19 (b) 68 (c) 38 (d) 67
  25. 25.₹10000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹10800 (b) ₹800 (c) ₹10200 (d) ₹11000
  26. 26.A teacher has 14 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 49 (b) 1 (c) 14 (d) 7
  27. 27.What is the average of 72, 74, 67, 51 and 66? (a) 67 (b) 68 (c) 65 (d) 66
  28. 28.Which is the smallest: 0.236, 0.38, 0.3, 0.063? (a) 0.236 (b) 0.38 (c) 0.3 (d) 0.063
  29. 29.What is the value of the digit 2 in 61.432? (a) 2 (b) 0.02 (c) 0.002 (d) 0.2
  30. 30.₹5000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹1500 (b) ₹5500 (c) ₹7000 (d) ₹6500
  31. 31.Two ribbons are 44 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 44 cm (c) 1 cm (d) 55 cm
  32. 32.Every pair follows the same rule: 2 : 7, 6 : 39, 7 : 52. What is 3 : ? (a) 8 (b) 13 (c) 12 (d) 11
  33. 33.If 8x + 17 = 73, what is x? (a) 56 (b) 7 (c) 6 (d) 8
  34. 34.Every pair follows the same rule: 2 : 3, 5 : 15, 9 : 31. What is 4 : ? (a) 5 (b) 10 (c) 11 (d) 12
  35. 35.What is the value of the digit 3 in 13.498? (a) 30 (b) 0.3 (c) 3 (d) 0.03
  36. 36.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 102 (b) 66 (c) 48 (d) 60
  37. 37.What is the units digit of 7^22? (a) 3 (b) 1 (c) 9 (d) 7
  38. 38.What is the average of all the whole numbers from 15 to 45? (a) 29 (b) 15 (c) 30 (d) 31
  39. 39.What is 1/2 of 10? (a) 6 (b) 10 (c) 5 (d) 4
  40. 40.Today is Monday. What day of the week will it be after 29 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday

Answer key

  1. 240 sq cm
  2. 6.23
  3. 9
  4. 5 years
  5. 5 cm
  6. 11
  7. ₹50
  8. 64 sq cm
  9. 36
  10. 190 sq cm
  11. ₹119
  12. 69
  13. ₹130
  14. 29
  15. ₹1615
  16. 20
  17. 15
  18. 11
  19. 4
  20. 63
  21. 9 cm
  22. 3
  23. 2 cm
  24. 67
  25. ₹10800
  26. 7
  27. 66
  28. 0.063
  29. 0.002
  30. ₹6500
  31. 11 cm
  32. 12
  33. 7
  34. 11
  35. 3
  36. 102
  37. 9
  38. 30
  39. 5
  40. Tuesday

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