← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 303 · 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.What is the average of 72, 82, 66, 79, 82 and 75? (a) 76 (b) 78 (c) 75 (d) 77
  2. 2.What is the average of all the whole numbers from 53 to 93? (a) 40 (b) 74 (c) 20 (d) 73
  3. 3.3.11 + 2.5 = ? (a) 5.71 (b) 5.61 (c) 5.51 (d) 3.36
  4. 4.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 40 (b) 336 (c) 168 (d) 84
  5. 5.If 8x + 27 = 83, what is x? (a) 7 (b) 8 (c) 6 (d) 56
  6. 6.What is the remainder when 271 is divided by 9? (a) 0 (b) 2 (c) 1 (d) 8
  7. 7.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 135 min (c) 24 min (d) 3 min
  8. 8.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 15% (b) 60% (c) 20% (d) 25%
  9. 9.The simple interest on ₹8500 for 4 years is ₹4080. What is the rate per year? (a) 12% (b) 13% (c) 48% (d) 11%
  10. 10.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 36 cm (c) 8 cm (d) 4 cm
  11. 11.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 12 (b) 67 (c) 57 (d) 59
  12. 12.What is the units digit of 2^27? (a) 6 (b) 4 (c) 8 (d) 2
  13. 13.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 150 (b) 375 (c) 40 (d) 75
  14. 14.If 18 August is a Thursday, what day of the week is 1 September? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  15. 15.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 40 (b) 6 (c) 45 (d) 79
  16. 16.₹240 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹200 (b) ₹40 (c) ₹120 (d) ₹240
  17. 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 4 cm (d) 3 cm
  18. 18.If 5x + 2 = 2x + 17, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  19. 19.If 5x + 19 = 3x + 21, what is x? (a) 20 (b) 2 (c) 3 (d) 1
  20. 20.7.27 + 1.4 = ? (a) 8.57 (b) 8.77 (c) 7.41 (d) 8.67
  21. 21.If 7x − 33 = 37, what is x? (a) 10 (b) 9 (c) 70 (d) 11
  22. 22.Two ribbons are 9 cm and 21 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) 12 cm (c) 1 cm (d) 3 cm
  23. 23.What is the average of 27, 44, 41, 50, 21 and 33? (a) 36 (b) 38 (c) 37 (d) 35
  24. 24.What is the average of 85, 64, 82 and 61? (a) 73 (b) 72 (c) 74 (d) 75
  25. 25.Which fraction is greater: 1/8 or 2/5? (a) They are equal (b) 1/8 (c) 2/5
  26. 26.What is the average of all the whole numbers from 19 to 37? (a) 28 (b) 29 (c) 9 (d) 18
  27. 27.2/6 + 1/9 = ? (a) 7/18 (b) 1/5 (c) 1/2 (d) 4/9
  28. 28.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 50 (b) 35 (c) 250 (d) 100
  29. 29.What is 1/8 of 40? (a) 6 (b) 35 (c) 10 (d) 5
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  31. 31.Every pair follows the same rule: 2 : 6, 5 : 27, 7 : 51. What is 8 : ? (a) 63 (b) 24 (c) 12 (d) 66
  32. 32.The simple interest on ₹2500 for 4 years is ₹300. What is the rate per year? (a) 4% (b) 12% (c) 3% (d) 2%
  33. 33.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 24 cm (c) 22 cm (d) 26 cm
  34. 34.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 20 (d) 4
  35. 35.Every pair follows the same rule: 2 : 12, 6 : 28, 9 : 40. What is 7 : ? (a) 32 (b) 42 (c) 17 (d) 33
  36. 36.What is the average of 23, 17, 37, 22 and 11? (a) 21 (b) 23 (c) 22 (d) 24
  37. 37.If 2 October is a Monday, what day of the week is 18 October? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  38. 38.What is the simple interest on ₹9000 at 10% per year for 3 years? (a) ₹2700 (b) ₹900 (c) ₹3600 (d) ₹11700
  39. 39.If 6 pens cost ₹126, how much do 8 pens cost? (a) ₹128 (b) ₹1008 (c) ₹189 (d) ₹168
  40. 40.What is 1/8 of 48? (a) 42 (b) 12 (c) 7 (d) 6

Answer key

  1. 76
  2. 73
  3. 5.61
  4. 84
  5. 7
  6. 1
  7. 45 min
  8. 20%
  9. 12%
  10. 4 cm
  11. 67
  12. 8
  13. 75
  14. Thursday
  15. 45
  16. ₹200
  17. 3 cm
  18. 5
  19. 1
  20. 8.67
  21. 10
  22. 3 cm
  23. 36
  24. 73
  25. 2/5
  26. 28
  27. 4/9
  28. 50
  29. 5
  30. 25 sq cm
  31. 66
  32. 3%
  33. 26 cm
  34. 4
  35. 32
  36. 22
  37. Wednesday
  38. ₹2700
  39. ₹168
  40. 6

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