← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 436 · 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 is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
  2. 2.Every pair follows the same rule: 2 : 2, 3 : 4, 7 : 12. What is 9 : ? (a) 9 (b) 15 (c) 17 (d) 16
  3. 3.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 35 cm (c) 21 cm (d) 42 cm
  4. 4.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 6 cm (d) 3 cm
  5. 5.Every pair follows the same rule: 4 : 28, 5 : 35, 7 : 49. What is 9 : ? (a) 33 (b) 62 (c) 63 (d) 64
  6. 6.Every pair follows the same rule: 4 : 8, 6 : 12, 8 : 16. What is 3 : ? (a) 7 (b) 8 (c) 6 (d) 5
  7. 7.Every pair follows the same rule: 3 : 18, 5 : 30, 6 : 36. What is 2 : ? (a) 17 (b) 11 (c) 13 (d) 12
  8. 8.Which fraction is greater: 1/6 or 4/5? (a) 1/6 (b) They are equal (c) 4/5
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  10. 10.What is the average of 30, 34, 21 and 35? (a) 31 (b) 29 (c) 30 (d) 40
  11. 11.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 8 days (c) 5 days (d) 12 days
  12. 12.In how many years will ₹6500 earn ₹1755 simple interest at 9% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
  13. 13.2.25 + 5.2 = ? (a) 2.77 (b) 7.35 (c) 7.45 (d) 7.55
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 15% (b) 5% (c) 26% (d) 10%
  15. 15.If 9x + 15 = 42, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  16. 16.What is the value of the digit 5 in 53.481? (a) 0.05 (b) 0.5 (c) 50 (d) 5
  17. 17.Which fraction is greater: 1/4 or 9/10? (a) 9/10 (b) They are equal (c) 1/4
  18. 18.What is the average of all the whole numbers from 55 to 91? (a) 73 (b) 74 (c) 18 (d) 36
  19. 19.₹5500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹5610 (b) ₹440 (c) ₹5940 (d) ₹6050
  20. 20.If x/3 + 1 = 3, what is x? (a) 2 (b) 8 (c) 6 (d) 12
  21. 21.What is the simple interest on ₹8500 at 12% per year for 2 years? (a) ₹10540 (b) ₹3060 (c) ₹2040 (d) ₹1020
  22. 22.Which fraction is greater: 2/3 or 9/11? (a) They are equal (b) 9/11 (c) 2/3
  23. 23.If 8 mangoes cost ₹56, how much do 7 mangoes cost? (a) ₹392 (b) ₹49 (c) ₹55 (d) ₹56
  24. 24.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 3 cm (c) 6 cm (d) 4 cm
  25. 25.What is 8/9 of 63? (a) 63 (b) 7 (c) 56 (d) 57
  26. 26.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 168 min (c) 26 min (d) 84 min
  27. 27.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 15% (b) 10% (c) 57% (d) 20%
  28. 28.9.09 + 6.1 = ? (a) 15.29 (b) 9.7 (c) 15.09 (d) 15.19
  29. 29.If 7x + 6 = 104, what is x? (a) 98 (b) 13 (c) 15 (d) 14
  30. 30.What is the average of 72, 74, 60, 47 and 52? (a) 61 (b) 62 (c) 63 (d) 60
  31. 31.Two ribbons are 14 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 4 cm (c) 14 cm (d) 1 cm
  32. 32.Every pair follows the same rule: 2 : 4, 5 : 25, 6 : 36. What is 3 : ? (a) 9 (b) 3 (c) 6 (d) 5
  33. 33.9.51 + 8.5 = ? (a) 18.11 (b) 17.91 (c) 18.01 (d) 10.36
  34. 34.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
  35. 35.A bag marked ₹940 is sold at a 50% discount. What is its selling price? (a) ₹890 (b) ₹471 (c) ₹470 (d) ₹1410
  36. 36.What is 2/5 of 35? (a) 7 (b) 21 (c) 14 (d) 15
  37. 37.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 6 cm (c) 76 cm (d) 10 cm
  38. 38.What is the average of all the whole numbers from 43 to 77? (a) 60 (b) 34 (c) 61 (d) 17
  39. 39.If 8x + 4 = 2x + 64, what is x? (a) 12 (b) 11 (c) 6 (d) 10
  40. 40.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 88%

Answer key

  1. 16 cm
  2. 16
  3. 42 cm
  4. 3 cm
  5. 63
  6. 6
  7. 12
  8. 4/5
  9. 25 sq cm
  10. 30
  11. 20 days
  12. 3 years
  13. 7.45
  14. 10%
  15. 3
  16. 50
  17. 9/10
  18. 73
  19. ₹5940
  20. 6
  21. ₹2040
  22. 9/11
  23. ₹49
  24. 3 cm
  25. 56
  26. 84 min
  27. 15%
  28. 15.19
  29. 14
  30. 61
  31. 2 cm
  32. 9
  33. 18.01
  34. 32 sq cm
  35. ₹470
  36. 14
  37. 5 cm
  38. 60
  39. 10
  40. 20%

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