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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 188 · 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.If 6x + 19 = 4x + 31, what is x? (a) 7 (b) 25 (c) 8 (d) 6
  2. 2.If 8x + 12 = 2x + 24, what is x? (a) 6 (b) 2 (c) 3 (d) 4
  3. 3.Every pair follows the same rule: 3 : 9, 5 : 15, 9 : 27. What is 7 : ? (a) 22 (b) 21 (c) 13 (d) 20
  4. 4.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 5% (b) 42% (c) 10% (d) 15%
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  6. 6.If 3x + 28 = 64, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  7. 7.What is 40% of 240? (a) 144 (b) 192 (c) 96 (d) 960
  8. 8.What is the average of all the whole numbers from 49 to 65? (a) 58 (b) 16 (c) 57 (d) 8
  9. 9.₹6000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹9300 (b) ₹2640 (c) ₹6660 (d) ₹8640
  10. 10.What is the average of 48, 46, 42 and 8? (a) 48 (b) 37 (c) 35 (d) 36
  11. 11.What is the remainder when 215 is divided by 3? (a) 1 (b) 2 (c) 0
  12. 12.What is 25% of 160? (a) 120 (b) 400 (c) 40 (d) 80
  13. 13.What is the average of 57, 55, 50 and 70? (a) 60 (b) 58 (c) 57 (d) 59
  14. 14.If 4 notebooks cost ₹32, how much do 5 notebooks cost? (a) ₹33 (b) ₹40 (c) ₹160 (d) ₹48
  15. 15.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 2 min (c) 60 min (d) 30 min
  16. 16.What is the smallest number you must add to 523 to make it divisible by 8? (a) 3 (b) 4 (c) 6 (d) 5
  17. 17.A shopkeeper buys a toy for ₹880 and sells it for ₹704. What is his loss percent? (a) 21% (b) 15% (c) 25% (d) 20%
  18. 18.Which fraction is greater: 10/11 or 7/12? (a) They are equal (b) 7/12 (c) 10/11
  19. 19.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 54 (b) 84 (c) 168 (d) 504
  20. 20.Which is the smallest: 0.459, 0.017, 0.54, 0.5? (a) 0.459 (b) 0.017 (c) 0.54 (d) 0.5
  21. 21.If 2x − 4 = 12, what is x? (a) 16 (b) 8 (c) 4 (d) 9
  22. 22.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 60 min (d) 5 min
  23. 23.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 19 (c) 34 (d) 16
  24. 24.Today is Saturday. What day of the week will it be after 58 days? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  25. 25.What is the simple interest on ₹3000 at 8% per year for 4 years? (a) ₹3960 (b) ₹240 (c) ₹960 (d) ₹1200
  26. 26.If 6x − 56 = 10, what is x? (a) 10 (b) 11 (c) 66 (d) 12
  27. 27.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 21 days (d) 15 days
  28. 28.6.02 + 1.2 = ? (a) 7.32 (b) 7.12 (c) 6.14 (d) 7.22
  29. 29.What is 75% of 520? (a) 390 (b) 3900 (c) 130 (d) 780
  30. 30.5.51 + 8.6 = ? (a) 14.21 (b) 14.01 (c) 6.37 (d) 14.11
  31. 31.Which is the smallest: 0.21, 0.173, 0.064, 0.2? (a) 0.21 (b) 0.173 (c) 0.064 (d) 0.2
  32. 32.What is 30% of 940? (a) 2820 (b) 282 (c) 564 (d) 658
  33. 33.Every pair follows the same rule: 4 : 16, 6 : 26, 8 : 36. What is 9 : ? (a) 36 (b) 21 (c) 42 (d) 41
  34. 34.What is the value of the digit 4 in 43.658? (a) 4 (b) 0.4 (c) 40 (d) 0.04
  35. 35.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 29 (c) 20 (d) 32
  36. 36.If 2x + 23 = 49, what is x? (a) 26 (b) 36 (c) 14 (d) 13
  37. 37.1/2 + 2/6 = ? (a) 3/8 (b) 1 (c) 5/6 (d) 2/3
  38. 38.If 2 mangoes cost ₹24, how much do 5 mangoes cost? (a) ₹27 (b) ₹72 (c) ₹120 (d) ₹60
  39. 39.In how many years will ₹9000 earn ₹4950 simple interest at 11% per year? (a) 4 years (b) 5 years (c) 10 years (d) 6 years
  40. 40.If 3x − 9 = 3, what is x? (a) 4 (b) 3 (c) 5 (d) 12

Answer key

  1. 6
  2. 2
  3. 21
  4. 10%
  5. 81 sq cm
  6. 12
  7. 96
  8. 57
  9. ₹8640
  10. 36
  11. 2
  12. 40
  13. 58
  14. ₹40
  15. 30 min
  16. 5
  17. 20%
  18. 10/11
  19. 84
  20. 0.017
  21. 8
  22. 60 min
  23. 31
  24. Monday
  25. ₹960
  26. 11
  27. 21 days
  28. 7.22
  29. 390
  30. 14.11
  31. 0.064
  32. 282
  33. 41
  34. 40
  35. 32
  36. 13
  37. 5/6
  38. ₹60
  39. 5 years
  40. 4

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