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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 674 · 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.What is the units digit of 4^39? (a) 5 (b) 3 (c) 4 (d) 6
  2. 2.4 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 30 days (b) 13 days (c) 31 days (d) 17 days
  3. 3.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 3 : ? (a) 27 (b) 28 (c) 3 (d) 60
  4. 4.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 69 (b) 93 (c) 48 (d) 24
  5. 5.₹5000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹6100 (b) ₹5550 (c) ₹6650 (d) ₹1100
  6. 6.₹10000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹1000 (b) ₹10500 (c) ₹11500 (d) ₹11000
  7. 7.What is the remainder when 568 is divided by 12? (a) 3 (b) 5 (c) 4 (d) 8
  8. 8.What is the units digit of 3^22? (a) 1 (b) 3 (c) 7 (d) 9
  9. 9.Every pair follows the same rule: 3 : 9, 6 : 21, 9 : 33. What is 5 : ? (a) 11 (b) 15 (c) 17 (d) 18
  10. 10.Which of these numbers is divisible by 9? (a) 7081 (b) 7065 (c) 7066 (d) 7059
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  12. 12.1/3 + 1/3 = ? (a) 4/3 (b) 1 (c) 1/3 (d) 2/3
  13. 13.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 11 days (d) 5 days
  14. 14.If 5 mangoes cost ₹120, how much do 6 mangoes cost? (a) ₹720 (b) ₹144 (c) ₹121 (d) ₹168
  15. 15.If 15 May is a Monday, what day of the week is 7 June? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  16. 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  17. 17.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 160 (c) 40 (d) 80
  18. 18.Which is the smallest: 0.024, 0.55, 0.489, 0.5? (a) 0.024 (b) 0.55 (c) 0.489 (d) 0.5
  19. 19.What is 10% of 480? (a) 96 (b) 48 (c) 480 (d) 432
  20. 20.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 7 days (d) 2 days
  21. 21.Which of these numbers is divisible by 6? (a) 1350 (b) 1351 (c) 1346 (d) 1360
  22. 22.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 16 days (d) 7 days
  23. 23.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 3 cm (d) 4 cm
  24. 24.A bag marked ₹1820 is sold at a 50% discount. What is its selling price? (a) ₹910 (b) ₹2730 (c) ₹911 (d) ₹1770
  25. 25.4.39 + 6.1 = ? (a) 5 (b) 10.39 (c) 10.59 (d) 10.49
  26. 26.If 17 June is a Thursday, what day of the week is 11 July? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  27. 27.Which fraction is greater: 7/9 or 2/7? (a) 7/9 (b) They are equal (c) 2/7
  28. 28.What is the units digit of 8^44? (a) 8 (b) 2 (c) 6 (d) 4
  29. 29.If 4 pens cost ₹44, how much do 11 pens cost? (a) ₹132 (b) ₹484 (c) ₹121 (d) ₹51
  30. 30.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 12 min (c) 24 min (d) 2 min
  31. 31.What is the remainder when 533 is divided by 7? (a) 2 (b) 6 (c) 1 (d) 0
  32. 32.What is the units digit of 3^13? (a) 9 (b) 1 (c) 7 (d) 3
  33. 33.What is 1/4 of 16? (a) 8 (b) 5 (c) 12 (d) 4
  34. 34.What is the smallest number you must add to 534 to make it divisible by 7? (a) 6 (b) 5 (c) 4 (d) 2
  35. 35.If 4x + 20 = 40, what is x? (a) 6 (b) 20 (c) 15 (d) 5
  36. 36.What is the value of the digit 6 in 58.269? (a) 0.06 (b) 6 (c) 0.006 (d) 0.6
  37. 37.What is 2/3 of 18? (a) 12 (b) 13 (c) 6 (d) 18
  38. 38.If 9 pens cost ₹117, how much do 6 pens cost? (a) ₹91 (b) ₹78 (c) ₹114 (d) ₹702
  39. 39.What is 6/7 of 35? (a) 5 (b) 31 (c) 35 (d) 30
  40. 40.Every pair follows the same rule: 3 : 12, 4 : 16, 8 : 32. What is 6 : ? (a) 25 (b) 15 (c) 23 (d) 24

Answer key

  1. 4
  2. 30 days
  3. 27
  4. 69
  5. ₹6100
  6. ₹11000
  7. 4
  8. 9
  9. 17
  10. 7065
  11. 25 sq cm
  12. 2/3
  13. 14 days
  14. ₹144
  15. Wednesday
  16. 81 sq cm
  17. 40
  18. 0.024
  19. 48
  20. 3 days
  21. 1350
  22. 15 days
  23. 2 cm
  24. ₹910
  25. 10.49
  26. Sunday
  27. 7/9
  28. 6
  29. ₹121
  30. 12 min
  31. 1
  32. 3
  33. 4
  34. 5
  35. 5
  36. 0.06
  37. 12
  38. ₹78
  39. 30
  40. 24

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