← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 349 · 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 fraction is greater: 1/8 or 2/11? (a) 1/8 (b) 2/11 (c) They are equal
  2. 2.Which fraction is greater: 2/7 or 2/3? (a) They are equal (b) 2/3 (c) 2/7
  3. 3.What is 5/9 of 81? (a) 54 (b) 36 (c) 9 (d) 45
  4. 4.If 9x + 3 = 7x + 5, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  5. 5.If 7x + 7 = 3x + 11, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  6. 6.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 192 min (b) 28 min (c) 48 min (d) 4 min
  7. 7.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  8. 8.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
  9. 9.If 4 October is a Sunday, what day of the week is 17 October? (a) Sunday (b) Friday (c) Monday (d) Saturday
  10. 10.What is the simple interest on ₹2000 at 11% per year for 2 years? (a) ₹2440 (b) ₹660 (c) ₹440 (d) ₹220
  11. 11.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 20% (b) 25% (c) 80% (d) 30%
  12. 12.If 8x + 16 = 7x + 25, what is x? (a) 41 (b) 10 (c) 9 (d) 11
  13. 13.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) 84 min (d) 26 min
  14. 14.Every pair follows the same rule: 7 : 48, 8 : 63, 9 : 80. What is 3 : ? (a) 44 (b) 7 (c) 8 (d) 9
  15. 15.What is the value of the digit 7 in 67.158? (a) 70 (b) 7 (c) 0.7 (d) 0.07
  16. 16.2/3 + 4/6 = ? (a) 2/3 (b) 7/6 (c) 4/3 (d) 3/2
  17. 17.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
  18. 18.In how many years will ₹2500 earn ₹400 simple interest at 4% per year? (a) 4 years (b) 5 years (c) 3 years (d) 8 years
  19. 19.Every pair follows the same rule: 2 : 6, 8 : 66, 9 : 83. What is 6 : ? (a) 10 (b) 18 (c) 38 (d) 32
  20. 20.₹1000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹1040 (b) ₹80 (c) ₹1120 (d) ₹1080
  21. 21.What is 1/3 of 33? (a) 11 (b) 22 (c) 12 (d) 10
  22. 22.7.21 + 5.3 = ? (a) 12.61 (b) 12.51 (c) 7.74 (d) 12.41
  23. 23.Every pair follows the same rule: 2 : 2, 3 : 7, 4 : 14. What is 8 : ? (a) 42 (b) 63 (c) 8 (d) 62
  24. 24.Which fraction is greater: 7/9 or 2/3? (a) 7/9 (b) They are equal (c) 2/3
  25. 25.What is the value of the digit 8 in 94.875? (a) 0.08 (b) 8 (c) 0.008 (d) 0.8
  26. 26.₹10000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹900 (b) ₹10900 (c) ₹10300 (d) ₹11200
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  28. 28.₹7000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1400 (b) ₹8680 (c) ₹8400 (d) ₹7280
  29. 29.Which fraction is greater: 2/7 or 1/8? (a) They are equal (b) 2/7 (c) 1/8
  30. 30.Which fraction is greater: 1/4 or 2/9? (a) 2/9 (b) They are equal (c) 1/4
  31. 31.If 21 March is a Monday, what day of the week is 9 April? (a) Monday (b) Saturday (c) Friday (d) Sunday
  32. 32.What is 3/7 of 49? (a) 28 (b) 22 (c) 21 (d) 7
  33. 33.What is 1/2 of 18? (a) 9 (b) 10 (c) 8 (d) 18
  34. 34.Every pair follows the same rule: 3 : 12, 6 : 39, 8 : 67. What is 2 : ? (a) 11 (b) 8 (c) 7 (d) 6
  35. 35.If x/2 + 3 = 14, what is x? (a) 25 (b) 34 (c) 11 (d) 22
  36. 36.What is 25% of 980? (a) 245 (b) 735 (c) 490 (d) 2450
  37. 37.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
  38. 38.The simple interest on ₹2500 for 3 years is ₹150. What is the rate per year? (a) 6% (b) 1% (c) 3% (d) 2%
  39. 39.What is the average of 48, 54, 56 and 54? (a) 52 (b) 55 (c) 54 (d) 53
  40. 40.₹490 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹245 (b) ₹441 (c) ₹49 (d) ₹490

Answer key

  1. 2/11
  2. 2/3
  3. 45
  4. 1
  5. 1
  6. 48 min
  7. 128 sq cm
  8. 20 cm
  9. Saturday
  10. ₹440
  11. 25%
  12. 9
  13. 84 min
  14. 8
  15. 7
  16. 4/3
  17. 40 sq cm
  18. 4 years
  19. 38
  20. ₹1080
  21. 11
  22. 12.51
  23. 62
  24. 7/9
  25. 0.8
  26. ₹10900
  27. 169 sq cm
  28. ₹8400
  29. 2/7
  30. 1/4
  31. Saturday
  32. 21
  33. 9
  34. 7
  35. 22
  36. 245
  37. 25%
  38. 2%
  39. 53
  40. ₹441

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