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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 537 · 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 + 1 = 6x + 13, what is x? (a) 14 (b) 13 (c) 12 (d) 11
  2. 2.If 26 October is a Saturday, what day of the week is 12 November? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  3. 3.What is 15% of 960? (a) 144 (b) 1440 (c) 816 (d) 288
  4. 4.If 5x − 15 = 15, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  5. 5.Two ribbons are 60 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 60 cm (c) 6 cm (d) 48 cm
  6. 6.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 80 (b) 320 (c) 36 (d) 160
  7. 7.Two ribbons are 48 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 336 cm (c) 48 cm (d) 8 cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  9. 9.What is the units digit of 3^52? (a) 1 (b) 7 (c) 3 (d) 9
  10. 10.If 12 December is a Sunday, what day of the week is 22 December? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
  11. 11.9 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 18 days (b) 15 days (c) 9 days (d) 8 days
  12. 12.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 32 min (c) 60 min (d) 4 min
  13. 13.5/8 + 1/2 = ? (a) 1 (b) 3/5 (c) 5/4 (d) 9/8
  14. 14.What is the simple interest on ₹5500 at 10% per year for 3 years? (a) ₹1650 (b) ₹7150 (c) ₹550 (d) ₹2200
  15. 15.Today is Monday. What day of the week will it be after 48 days? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
  16. 16.If 9x + 21 = 48, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  17. 17.Every pair follows the same rule: 4 : 24, 7 : 27, 8 : 28. What is 5 : ? (a) 26 (b) 24 (c) 30 (d) 25
  18. 18.₹2000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹2220 (b) ₹3320 (c) ₹1100 (d) ₹3100
  19. 19.What is 4/7 of 70? (a) 10 (b) 40 (c) 50 (d) 30
  20. 20.What is 3/7 of 49? (a) 22 (b) 21 (c) 7 (d) 28
  21. 21.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 55 (b) 700 (c) 280 (d) 140
  22. 22.₹7000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹3080 (b) ₹10080 (c) ₹7770 (d) ₹10850
  23. 23.What is the smallest number you must add to 212 to make it divisible by 7? (a) 4 (b) 2 (c) 5 (d) 6
  24. 24.What is the average of 83, 63, 82 and 56? (a) 70 (b) 72 (c) 71 (d) 73
  25. 25.If 5x + 23 = 98, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  26. 26.Which of these numbers is divisible by 4? (a) 2851 (b) 2847 (c) 2848 (d) 2853
  27. 27.If x/5 + 9 = 20, what is x? (a) 145 (b) 55 (c) 11 (d) 91
  28. 28.Two ribbons are 30 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 50 cm (c) 30 cm (d) 5 cm
  29. 29.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 60 (b) 120 (c) 300 (d) 35
  30. 30.In how many years will ₹10000 earn ₹1800 simple interest at 9% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  31. 31.2.59 + 4.7 = ? (a) 7.39 (b) 7.29 (c) 7.19 (d) 3.06
  32. 32.If 13 April is a Saturday, what day of the week is 4 May? (a) Friday (b) Monday (c) Saturday (d) Sunday
  33. 33.If 7x + 20 = 125, what is x? (a) 16 (b) 15 (c) 105 (d) 14
  34. 34.A shopkeeper buys a toy for ₹360 and sells it for ₹432. What is his profit percent? (a) 15% (b) 72% (c) 25% (d) 20%
  35. 35.If 2 July is a Wednesday, what day of the week is 11 July? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  36. 36.If 6 pens cost ₹114, how much do 5 pens cost? (a) ₹95 (b) ₹114 (c) ₹570 (d) ₹113
  37. 37.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 20 cm (c) 171 cm (d) 11 cm
  38. 38.In how many years will ₹8500 earn ₹510 simple interest at 3% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
  39. 39.What is the average of 58, 66, 52 and 80? (a) 66 (b) 65 (c) 64 (d) 63
  40. 40.What is the value of the digit 5 in 52.136? (a) 5 (b) 50 (c) 0.05 (d) 0.5

Answer key

  1. 12
  2. Tuesday
  3. 144
  4. 6
  5. 12 cm
  6. 80
  7. 8 cm
  8. 144 sq cm
  9. 1
  10. Wednesday
  11. 18 days
  12. 60 min
  13. 9/8
  14. ₹1650
  15. Sunday
  16. 3
  17. 25
  18. ₹3100
  19. 40
  20. 21
  21. 140
  22. ₹10080
  23. 5
  24. 71
  25. 15
  26. 2848
  27. 55
  28. 10 cm
  29. 60
  30. 2 years
  31. 7.29
  32. Saturday
  33. 15
  34. 20%
  35. Friday
  36. ₹95
  37. 10 cm
  38. 2 years
  39. 64
  40. 50

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