← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 782 · 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.₹350 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹125 (b) ₹225 (c) ₹25 (d) ₹175
  2. 2.Which fraction is greater: 4/7 or 1/10? (a) They are equal (b) 4/7 (c) 1/10
  3. 3.If 5 December is a Friday, what day of the week is 18 December? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  4. 4.What is the value of the digit 7 in 79.421? (a) 0.7 (b) 70 (c) 7 (d) 0.07
  5. 5.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹300 (b) ₹256 (c) ₹64 (d) ₹384
  6. 6.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 13 days (c) 22 days (d) 21 days
  7. 7.2/3 + 4/8 = ? (a) 6/11 (b) 29/24 (c) 9/8 (d) 7/6
  8. 8.Two ribbons are 24 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 24 cm (c) 40 cm (d) 8 cm
  9. 9.Which fraction is greater: 2/3 or 9/10? (a) 9/10 (b) They are equal (c) 2/3
  10. 10.What is the smallest number you must add to 230 to make it divisible by 8? (a) 3 (b) 6 (c) 2 (d) 1
  11. 11.Every pair follows the same rule: 4 : 19, 6 : 27, 8 : 35. What is 5 : ? (a) 22 (b) 24 (c) 20 (d) 23
  12. 12.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 24 cm (d) 12 cm
  13. 13.The simple interest on ₹1000 for 5 years is ₹300. What is the rate per year? (a) 6% (b) 30% (c) 7% (d) 5%
  14. 14.If 2 kites cost ₹18, how much do 10 kites cost? (a) ₹26 (b) ₹99 (c) ₹180 (d) ₹90
  15. 15.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 42 (c) 15 (d) 43
  16. 16.1/5 + 1/2 = ? (a) 2/7 (b) 3/5 (c) 4/5 (d) 7/10
  17. 17.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 252 (c) 378 (d) 126
  18. 18.What is the value of the digit 5 in 63.571? (a) 0.05 (b) 5 (c) 0.5 (d) 0.005
  19. 19.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹114 (b) ₹133 (c) ₹95 (d) ₹19
  20. 20.Which fraction is greater: 1/3 or 6/11? (a) 1/3 (b) They are equal (c) 6/11
  21. 21.What is the average of all the whole numbers from 29 to 63? (a) 34 (b) 47 (c) 46 (d) 17
  22. 22.Every pair follows the same rule: 2 : 9, 5 : 15, 9 : 23. What is 4 : ? (a) 12 (b) 14 (c) 13 (d) 11
  23. 23.If 14 November is a Monday, what day of the week is 12 December? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  24. 24.If 3 notebooks cost ₹30, how much do 4 notebooks cost? (a) ₹50 (b) ₹120 (c) ₹40 (d) ₹31
  25. 25.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 6 : ? (a) 36 (b) 12 (c) 33 (d) 8
  26. 26.What is the value of the digit 9 in 98.247? (a) 0.09 (b) 90 (c) 9 (d) 0.9
  27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 92%
  28. 28.If 1 July is a Sunday, what day of the week is 12 July? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
  29. 29.If 8x − 1 = 15, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  30. 30.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 51 (b) 35 (c) 31 (d) 24
  31. 31.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  32. 32.In how many years will ₹10000 earn ₹800 simple interest at 2% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years
  33. 33.Which of these numbers is divisible by 3? (a) 2337 (b) 2342 (c) 2336 (d) 2338
  34. 34.What is 1/2 of 8? (a) 3 (b) 8 (c) 4 (d) 5
  35. 35.Every pair follows the same rule: 5 : 26, 8 : 65, 9 : 82. What is 3 : ? (a) 24 (b) 9 (c) 10 (d) 11
  36. 36.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 90 sq cm (d) 46 sq cm
  37. 37.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 52 cm (d) 165 cm
  38. 38.Every pair follows the same rule: 2 : 3, 3 : 8, 9 : 80. What is 5 : ? (a) 6 (b) 32 (c) 25 (d) 24
  39. 39.If 9x + 26 = 71, what is x? (a) 4 (b) 6 (c) 45 (d) 5
  40. 40.Every pair follows the same rule: 4 : 5, 7 : 11, 8 : 13. What is 5 : ? (a) 6 (b) 8 (c) 9 (d) 7

Answer key

  1. ₹225
  2. 4/7
  3. Thursday
  4. 70
  5. ₹256
  6. 21 days
  7. 7/6
  8. 8 cm
  9. 9/10
  10. 2
  11. 23
  12. 12 cm
  13. 6%
  14. ₹90
  15. 42
  16. 7/10
  17. 126
  18. 0.5
  19. ₹114
  20. 6/11
  21. 46
  22. 13
  23. Monday
  24. ₹40
  25. 36
  26. 90
  27. 10%
  28. Thursday
  29. 2
  30. 51
  31. 25%
  32. 4 years
  33. 2337
  34. 4
  35. 10
  36. 90 sq cm
  37. 52 cm
  38. 24
  39. 5
  40. 7

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad