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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 68 · 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 7x + 18 = 102, what is x? (a) 13 (b) 12 (c) 11 (d) 84
  2. 2.If x/3 + 1 = 6, what is x? (a) 5 (b) 21 (c) 17 (d) 15
  3. 3.What is the smallest number you must add to 127 to make it divisible by 8? (a) 3 (b) 7 (c) 2 (d) 1
  4. 4.If x/3 + 4 = 15, what is x? (a) 11 (b) 41 (c) 57 (d) 33
  5. 5.₹288 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹128 (b) ₹160 (c) ₹144 (d) ₹32
  6. 6.If 6x + 12 = 78, what is x? (a) 66 (b) 15 (c) 11 (d) 12
  7. 7.If 5 kites cost ₹120, how much do 4 kites cost? (a) ₹119 (b) ₹120 (c) ₹96 (d) ₹480
  8. 8.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
  9. 9.6 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 12 days (b) 2 days (c) 4 days (d) 3 days
  10. 10.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  11. 11.What is the smallest number you must add to 484 to make it divisible by 10? (a) 7 (b) 6 (c) 5 (d) 4
  12. 12.What is the value of the digit 2 in 31.294? (a) 2 (b) 0.002 (c) 0.02 (d) 0.2
  13. 13.If 6 May is a Sunday, what day of the week is 19 May? (a) Saturday (b) Friday (c) Sunday (d) Monday
  14. 14.What is 1/3 of 24? (a) 9 (b) 7 (c) 16 (d) 8
  15. 15.In how many years will ₹2500 earn ₹250 simple interest at 5% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
  16. 16.What is 2/5 of 25? (a) 11 (b) 5 (c) 15 (d) 10
  17. 17.If x/4 + 2 = 5, what is x? (a) 3 (b) 28 (c) 18 (d) 12
  18. 18.What is the simple interest on ₹2000 at 4% per year for 5 years? (a) ₹80 (b) ₹2400 (c) ₹400 (d) ₹480
  19. 19.If 5 January is a Wednesday, what day of the week is 13 January? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  20. 20.What is 3/4 of 12? (a) 12 (b) 3 (c) 9 (d) 10
  21. 21.9.79 + 5.8 = ? (a) 15.59 (b) 15.49 (c) 15.69 (d) 10.37
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  23. 23.If 2x + 24 = 38, what is x? (a) 31 (b) 14 (c) 7 (d) 8
  24. 24.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 6 days (c) 4 days (d) 5 days
  25. 25.8/9 + 6/9 = ? (a) 14/9 (b) 7/9 (c) 5/3 (d) 13/9
  26. 26.₹320 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹280 (b) ₹160 (c) ₹40 (d) ₹320
  27. 27.What is the remainder when 404 is divided by 7? (a) 2 (b) 6 (c) 5 (d) 4
  28. 28.If 6x + 4 = 5x + 12, what is x? (a) 16 (b) 8 (c) 10 (d) 9
  29. 29.What is the value of the digit 8 in 45.816? (a) 0.08 (b) 0.008 (c) 0.8 (d) 8
  30. 30.What is the value of the digit 5 in 94.825? (a) 0.05 (b) 0.005 (c) 5 (d) 0.5
  31. 31.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 72 cm
  32. 32.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 56 (b) 57 (c) 22 (d) 112
  33. 33.A shopkeeper buys a toy for ₹620 and sells it for ₹434. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  34. 34.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 16 days (c) 28 days (d) 29 days
  35. 35.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 36 sq cm (d) 24 sq cm
  36. 36.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 41 (b) 40 (c) 80 (d) 18
  37. 37.What is the simple interest on ₹6000 at 12% per year for 4 years? (a) ₹3600 (b) ₹720 (c) ₹2880 (d) ₹8880
  38. 38.If 9 pens cost ₹189, how much do 2 pens cost? (a) ₹63 (b) ₹378 (c) ₹42 (d) ₹182
  39. 39.1/7 + 2/3 = ? (a) 3/10 (b) 6/7 (c) 17/21 (d) 16/21
  40. 40.What is the units digit of 8^34? (a) 8 (b) 2 (c) 4 (d) 6

Answer key

  1. 12
  2. 15
  3. 1
  4. 33
  5. ₹160
  6. 11
  7. ₹96
  8. 24 cm
  9. 3 days
  10. 40%
  11. 6
  12. 0.2
  13. Saturday
  14. 8
  15. 2 years
  16. 10
  17. 12
  18. ₹400
  19. Thursday
  20. 9
  21. 15.59
  22. 100 sq cm
  23. 7
  24. 5 days
  25. 14/9
  26. ₹280
  27. 5
  28. 8
  29. 0.8
  30. 0.005
  31. 7 cm
  32. 56
  33. 30%
  34. 28 days
  35. 24 sq cm
  36. 40
  37. ₹2880
  38. ₹42
  39. 17/21
  40. 4

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