← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 668 · 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 has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 12 cm (c) 90 cm (d) 6 cm
  2. 2.If 5x − 33 = 12, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  3. 3.What is the remainder when 541 is divided by 9? (a) 8 (b) 1 (c) 0 (d) 2
  4. 4.What is the value of the digit 4 in 98.714? (a) 4 (b) 0.04 (c) 0.4 (d) 0.004
  5. 5.A shopkeeper buys a toy for ₹800 and sells it for ₹600. What is his loss percent? (a) 20% (b) 26% (c) 25% (d) 30%
  6. 6.What is the value of the digit 5 in 18.965? (a) 0.05 (b) 0.005 (c) 5 (d) 0.5
  7. 7.Every pair follows the same rule: 2 : 7, 6 : 27, 9 : 42. What is 5 : ? (a) 10 (b) 21 (c) 23 (d) 22
  8. 8.Every pair follows the same rule: 3 : 9, 7 : 21, 9 : 27. What is 5 : ? (a) 16 (b) 14 (c) 11 (d) 15
  9. 9.What is the simple interest on ₹4500 at 9% per year for 4 years? (a) ₹1620 (b) ₹405 (c) ₹2025 (d) ₹6120
  10. 10.Which is the greatest: 0.56, 0.015, 0.5, 0.498? (a) 0.56 (b) 0.015 (c) 0.5 (d) 0.498
  11. 11.A bag marked ₹1740 is sold at a 30% discount. What is its selling price? (a) ₹1218 (b) ₹2262 (c) ₹522 (d) ₹1710
  12. 12.If 9 December is a Monday, what day of the week is 19 December? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  13. 13.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 140 (b) 24 (c) 70 (d) 71
  14. 14.Which is the greatest: 0.768, 0.064, 0.83, 0.8? (a) 0.768 (b) 0.064 (c) 0.83 (d) 0.8
  15. 15.The simple interest on ₹8000 for 5 years is ₹2000. What is the rate per year? (a) 25% (b) 6% (c) 4% (d) 5%
  16. 16.Every pair follows the same rule: 2 : 9, 8 : 69, 9 : 86. What is 6 : ? (a) 35 (b) 13 (c) 42 (d) 41
  17. 17.₹108 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹54 (b) ₹24 (c) ₹84 (d) ₹12
  18. 18.A teacher has 18 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 3 (c) 6 (d) 72
  19. 19.Which fraction is greater: 3/5 or 7/8? (a) They are equal (b) 7/8 (c) 3/5
  20. 20.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 8 cm (c) 48 cm (d) 5 cm
  21. 21.What is the value of the digit 6 in 18.796? (a) 6 (b) 0.6 (c) 0.06 (d) 0.006
  22. 22.Which is the greatest: 0.5, 0.51, 0.097, 0.436? (a) 0.5 (b) 0.51 (c) 0.097 (d) 0.436
  23. 23.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 10 cm (d) 9 cm
  24. 24.What is the units digit of 7^36? (a) 9 (b) 1 (c) 7 (d) 3
  25. 25.Which of these numbers is divisible by 11? (a) 553 (b) 550 (c) 566 (d) 546
  26. 26.9.99 + 5.3 = ? (a) 15.29 (b) 10.52 (c) 15.19 (d) 15.39
  27. 27.Two ribbons are 56 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) 448 cm (c) 8 cm (d) 56 cm
  28. 28.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 2 min (c) 18 min (d) 56 min
  29. 29.What is 2/3 of 6? (a) 5 (b) 2 (c) 4 (d) 6
  30. 30.Today is Tuesday. What day of the week will it be after 44 days? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  31. 31.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 21 days (c) 15 days (d) 22 days
  32. 32.Every pair follows the same rule: 4 : 24, 5 : 33, 9 : 89. What is 2 : ? (a) 12 (b) 13 (c) 22 (d) 11
  33. 33.6 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 14 days (d) 5 days
  34. 34.What is 1/7 of 28? (a) 5 (b) 4 (c) 8 (d) 24
  35. 35.The simple interest on ₹7000 for 2 years is ₹420. What is the rate per year? (a) 2% (b) 3% (c) 4% (d) 6%
  36. 36.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 68 cm
  37. 37.Every pair follows the same rule: 2 : 15, 4 : 17, 9 : 22. What is 3 : ? (a) 18 (b) 16 (c) 15 (d) 17
  38. 38.Which is the smallest: 0.345, 0.49, 0.062, 0.4? (a) 0.345 (b) 0.49 (c) 0.062 (d) 0.4
  39. 39.Every pair follows the same rule: 2 : 19, 3 : 24, 6 : 39. What is 4 : ? (a) 28 (b) 29 (c) 30 (d) 21
  40. 40.If 15 July is a Monday, what day of the week is 29 July? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday

Answer key

  1. 6 cm
  2. 9
  3. 1
  4. 0.004
  5. 25%
  6. 0.005
  7. 22
  8. 15
  9. ₹1620
  10. 0.56
  11. ₹1218
  12. Thursday
  13. 70
  14. 0.83
  15. 5%
  16. 41
  17. ₹84
  18. 6
  19. 7/8
  20. 4 cm
  21. 0.006
  22. 0.51
  23. 9 cm
  24. 1
  25. 550
  26. 15.29
  27. 8 cm
  28. 28 min
  29. 4
  30. Thursday
  31. 21 days
  32. 12
  33. 6 days
  34. 4
  35. 3%
  36. 42 cm
  37. 16
  38. 0.062
  39. 29
  40. Monday

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