← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 642 · 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.Which of these numbers is divisible by 8? (a) 4508 (b) 4497 (c) 4514 (d) 4504
  2. 2.Which of these numbers is divisible by 3? (a) 436 (b) 438 (c) 440 (d) 442
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  4. 4.9.62 + 2.5 = ? (a) 12.02 (b) 12.12 (c) 9.87 (d) 12.22
  5. 5.Which of these numbers is divisible by 11? (a) 854 (b) 874 (c) 858 (d) 862
  6. 6.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 700 min (c) 55 min (d) 5 min
  7. 7.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 14 days (c) 6 days (d) 20 days
  8. 8.If 2x + 27 = 45, what is x? (a) 18 (b) 10 (c) 36 (d) 9
  9. 9.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 15 (c) 40 (d) 28
  10. 10.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 58? (a) 62 (b) 58 (c) 86 (d) 32
  11. 11.What is 20% of 900? (a) 1800 (b) 360 (c) 720 (d) 180
  12. 12.Two ribbons are 48 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 432 cm (d) 48 cm
  13. 13.What is the simple interest on ₹2000 at 2% per year for 4 years? (a) ₹2160 (b) ₹40 (c) ₹200 (d) ₹160
  14. 14.What is the average of 46, 64, 46, 54, 46 and 50? (a) 52 (b) 50 (c) 51 (d) 53
  15. 15.What is 3/4 of 28? (a) 22 (b) 28 (c) 7 (d) 21
  16. 16.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 9 cm (c) 133 cm (d) 16 cm
  17. 17.6.45 + 7.1 = ? (a) 13.55 (b) 7.16 (c) 13.65 (d) 13.45
  18. 18.6.79 + 9.6 = ? (a) 16.39 (b) 16.29 (c) 7.75 (d) 16.49
  19. 19.If 3x + 5 = 32, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  20. 20.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 3 days (d) 10 days
  21. 21.If 6x + 16 = 3x + 37, what is x? (a) 6 (b) 8 (c) 9 (d) 7
  22. 22.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 68 sq cm (d) 40 sq cm
  23. 23.If 5 January is a Friday, what day of the week is 19 January? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  24. 24.If 22 March is a Saturday, what day of the week is 15 April? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  25. 25.If 6 mangoes cost ₹54, how much do 10 mangoes cost? (a) ₹99 (b) ₹540 (c) ₹90 (d) ₹58
  26. 26.If 5x − 7 = 33, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  27. 27.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  28. 28.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 56 min (c) 2 min (d) 22 min
  29. 29.If 5x − 42 = 13, what is x? (a) 55 (b) 10 (c) 12 (d) 11
  30. 30.If 3x + 17 = 62, what is x? (a) 45 (b) 16 (c) 15 (d) 14
  31. 31.1/5 + 3/4 = ? (a) 4/9 (b) 9/10 (c) 19/20 (d) 1
  32. 32.What is the smallest number you must add to 424 to make it divisible by 12? (a) 9 (b) 7 (c) 4 (d) 8
  33. 33.The simple interest on ₹8500 for 5 years is ₹1700. What is the rate per year? (a) 20% (b) 3% (c) 4% (d) 5%
  34. 34.5.41 + 8.8 = ? (a) 14.31 (b) 6.29 (c) 14.11 (d) 14.21
  35. 35.If 7x + 10 = 4x + 40, what is x? (a) 9 (b) 11 (c) 12 (d) 10
  36. 36.Which fraction is greater: 3/5 or 4/9? (a) They are equal (b) 3/5 (c) 4/9
  37. 37.2.52 + 9.8 = ? (a) 12.22 (b) 12.42 (c) 3.5 (d) 12.32
  38. 38.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 500 min (c) 45 min (d) 5 min
  39. 39.A teacher has 18 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 63 (c) 18 (d) 3
  40. 40.Today is Wednesday. What day of the week will it be after 98 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday

Answer key

  1. 4504
  2. 438
  3. 225 sq cm
  4. 12.12
  5. 858
  6. 140 min
  7. 5 days
  8. 9
  9. 40
  10. 86
  11. 180
  12. 6 cm
  13. ₹160
  14. 51
  15. 21
  16. 8 cm
  17. 13.55
  18. 16.39
  19. 9
  20. 9 days
  21. 7
  22. 51 sq cm
  23. Friday
  24. Tuesday
  25. ₹90
  26. 8
  27. 40%
  28. 56 min
  29. 11
  30. 15
  31. 19/20
  32. 8
  33. 4%
  34. 14.21
  35. 10
  36. 3/5
  37. 12.32
  38. 100 min
  39. 9
  40. Wednesday

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