← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 301 · 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 ₹6500 for 2 years is ₹650. What is the rate per year? (a) 5% (b) 10% (c) 6% (d) 4%
  2. 2.The simple interest on ₹5500 for 3 years is ₹330. What is the rate per year? (a) 1% (b) 3% (c) 6% (d) 2%
  3. 3.6.17 + 8.1 = ? (a) 14.27 (b) 6.98 (c) 14.17 (d) 14.37
  4. 4.Which fraction is greater: 9/10 or 2/3? (a) 9/10 (b) 2/3 (c) They are equal
  5. 5.What is the average of all the whole numbers from 17 to 41? (a) 29 (b) 24 (c) 12 (d) 30
  6. 6.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 126 (b) 30 (c) 63 (d) 189
  7. 7.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 32 (b) 43 (c) 67 (d) 51
  8. 8.What is 3/7 of 63? (a) 36 (b) 9 (c) 27 (d) 28
  9. 9.Every pair follows the same rule: 2 : 1, 3 : 6, 5 : 22. What is 6 : ? (a) 30 (b) 32 (c) 34 (d) 33
  10. 10.What is the units digit of 4^57? (a) 4 (b) 3 (c) 5 (d) 6
  11. 11.What is 1/2 of 6? (a) 6 (b) 4 (c) 2 (d) 3
  12. 12.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 1 (c) 33 (d) 11
  13. 13.What is the units digit of 9^44? (a) 9 (b) 1 (c) 2 (d) 0
  14. 14.Which fraction is greater: 5/9 or 1/4? (a) They are equal (b) 1/4 (c) 5/9
  15. 15.Every pair follows the same rule: 2 : 5, 3 : 8, 8 : 23. What is 5 : ? (a) 14 (b) 13 (c) 8 (d) 15
  16. 16.Every pair follows the same rule: 2 : 2, 5 : 23, 7 : 47. What is 3 : ? (a) 8 (b) 6 (c) 7 (d) 3
  17. 17.Today is Wednesday. What day of the week will it be after 31 days? (a) Friday (b) Monday (c) Sunday (d) Saturday
  18. 18.If x/2 + 2 = 10, what is x? (a) 16 (b) 24 (c) 18 (d) 8
  19. 19.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 77 cm
  20. 20.What is the simple interest on ₹9500 at 6% per year for 2 years? (a) ₹10640 (b) ₹570 (c) ₹1140 (d) ₹1710
  21. 21.What is the simple interest on ₹4500 at 10% per year for 2 years? (a) ₹900 (b) ₹450 (c) ₹1350 (d) ₹5400
  22. 22.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%
  23. 23.5.24 + 7.5 = ? (a) 12.84 (b) 12.64 (c) 12.74 (d) 5.99
  24. 24.Which is the smallest: 0.28, 0.2, 0.048, 0.145? (a) 0.28 (b) 0.2 (c) 0.048 (d) 0.145
  25. 25.What is the value of the digit 5 in 51.834? (a) 5 (b) 50 (c) 0.5 (d) 0.05
  26. 26.1/3 + 5/8 = ? (a) 11/12 (b) 1 (c) 23/24 (d) 6/11
  27. 27.In how many years will ₹4500 earn ₹1485 simple interest at 11% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
  28. 28.What is the average of 28, 31, 36 and 69? (a) 42 (b) 41 (c) 43 (d) 40
  29. 29.What is the value of the digit 6 in 63.715? (a) 0.6 (b) 0.06 (c) 6 (d) 60
  30. 30.₹232 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹29 (b) ₹87 (c) ₹145 (d) ₹116
  31. 31.In how many years will ₹9500 earn ₹2280 simple interest at 8% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
  32. 32.What is 75% of 380? (a) 2850 (b) 285 (c) 95 (d) 570
  33. 33.If 15 January is a Saturday, what day of the week is 26 January? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  34. 34.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 34 (c) 44 (d) 20
  35. 35.4/5 + 1/3 = ? (a) 6/5 (b) 17/15 (c) 5/8 (d) 16/15
  36. 36.Which is the greatest: 0.5, 0.52, 0.424, 0.094? (a) 0.5 (b) 0.52 (c) 0.424 (d) 0.094
  37. 37.What is the average of 31, 38, 43, 27 and 41? (a) 45 (b) 37 (c) 36 (d) 35
  38. 38.Two ribbons are 28 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) 1 cm (b) 28 cm (c) 140 cm (d) 7 cm
  39. 39.A shopkeeper buys a toy for ₹840 and sells it for ₹672. What is his loss percent? (a) 21% (b) 20% (c) 15% (d) 25%
  40. 40.If 3 mangoes cost ₹33, how much do 4 mangoes cost? (a) ₹55 (b) ₹34 (c) ₹44 (d) ₹132

Answer key

  1. 5%
  2. 2%
  3. 14.27
  4. 9/10
  5. 29
  6. 63
  7. 67
  8. 27
  9. 33
  10. 4
  11. 3
  12. 11
  13. 1
  14. 5/9
  15. 14
  16. 7
  17. Saturday
  18. 16
  19. 8 cm
  20. ₹1140
  21. ₹900
  22. 50%
  23. 12.74
  24. 0.048
  25. 50
  26. 23/24
  27. 3 years
  28. 41
  29. 60
  30. ₹145
  31. 3 years
  32. 285
  33. Wednesday
  34. 44
  35. 17/15
  36. 0.52
  37. 36
  38. 7 cm
  39. 20%
  40. ₹44

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