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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 33 · 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 is the smallest: 0.064, 0.4, 0.49, 0.321? (a) 0.064 (b) 0.4 (c) 0.49 (d) 0.321
  2. 2.In how many years will ₹3500 earn ₹1120 simple interest at 8% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  3. 3.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 14 sq cm (d) 9 sq cm
  4. 4.What is the simple interest on ₹5000 at 10% per year for 4 years? (a) ₹2000 (b) ₹2500 (c) ₹500 (d) ₹7000
  5. 5.Every pair follows the same rule: 2 : 19, 3 : 24, 7 : 44. What is 6 : ? (a) 38 (b) 40 (c) 39 (d) 23
  6. 6.What is the smallest number you must add to 233 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  7. 7.In how many years will ₹7000 earn ₹1400 simple interest at 5% per year? (a) 8 years (b) 3 years (c) 5 years (d) 4 years
  8. 8.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 21 min (c) 108 min (d) 36 min
  9. 9.If 2 mangoes cost ₹16, how much do 9 mangoes cost? (a) ₹72 (b) ₹23 (c) ₹144 (d) ₹80
  10. 10.What is the remainder when 134 is divided by 8? (a) 6 (b) 5 (c) 7 (d) 2
  11. 11.1.79 + 2.8 = ? (a) 2.07 (b) 4.49 (c) 4.69 (d) 4.59
  12. 12.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 10 cm (c) 40 cm (d) 6 cm
  13. 13.A shopkeeper buys a toy for ₹880 and sells it for ₹924. What is his profit percent? (a) 44% (b) 5% (c) 6% (d) 10%
  14. 14.₹160 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹120 (b) ₹40 (c) ₹80 (d) ₹160
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
  16. 16.If 3 notebooks cost ₹45, how much do 4 notebooks cost? (a) ₹75 (b) ₹180 (c) ₹46 (d) ₹60
  17. 17.If 8 January is a Sunday, what day of the week is 18 January? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  18. 18.Which fraction is greater: 2/7 or 4/9? (a) 2/7 (b) They are equal (c) 4/9
  19. 19.If 8 kites cost ₹40, how much do 10 kites cost? (a) ₹55 (b) ₹400 (c) ₹42 (d) ₹50
  20. 20.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 112 (b) 56 (c) 36 (d) 224
  21. 21.3/6 + 2/4 = ? (a) 11/12 (b) 1/2 (c) 13/12 (d) 1
  22. 22.If 6x + 10 = 2x + 42, what is x? (a) 4 (b) 9 (c) 8 (d) 13
  23. 23.Which of these numbers is divisible by 6? (a) 4684 (b) 4679 (c) 4680 (d) 4688
  24. 24.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 5% (b) 10% (c) 40% (d) 6%
  25. 25.Two ribbons are 6 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 8 cm (d) 2 cm
  26. 26.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 36 (b) 216 (c) 30 (d) 72
  27. 27.4/9 + 1/4 = ? (a) 5/13 (b) 13/18 (c) 25/36 (d) 2/3
  28. 28.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 70 (d) 350
  29. 29.Every pair follows the same rule: 3 : 21, 4 : 22, 8 : 26. What is 5 : ? (a) 35 (b) 22 (c) 24 (d) 23
  30. 30.If 5x + 25 = 60, what is x? (a) 35 (b) 8 (c) 17 (d) 7
  31. 31.If x/3 + 12 = 17, what is x? (a) 5 (b) 39 (c) 15 (d) 87
  32. 32.If 7 pens cost ₹98, how much do 10 pens cost? (a) ₹980 (b) ₹101 (c) ₹140 (d) ₹154
  33. 33.If 9 July is a Wednesday, what day of the week is 17 July? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  34. 34.What is the smallest number you must add to 109 to make it divisible by 6? (a) 4 (b) 3 (c) 1 (d) 5
  35. 35.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 2 min (c) 60 min (d) 120 min
  36. 36.If 2x + 30 = 38, what is x? (a) 8 (b) 34 (c) 4 (d) 5
  37. 37.What is the average of all the whole numbers from 20 to 40? (a) 10 (b) 30 (c) 31 (d) 20
  38. 38.If 9x + 19 = 4x + 29, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  39. 39.A bag marked ₹880 is sold at a 10% discount. What is its selling price? (a) ₹88 (b) ₹792 (c) ₹968 (d) ₹870
  40. 40.If 3x + 9 = 2x + 10, what is x? (a) 19 (b) 3 (c) 2 (d) 1

Answer key

  1. 0.064
  2. 4 years
  3. 14 sq cm
  4. ₹2000
  5. 39
  6. 3
  7. 4 years
  8. 36 min
  9. ₹72
  10. 6
  11. 4.59
  12. 5 cm
  13. 5%
  14. ₹120
  15. 24 cm
  16. ₹60
  17. Wednesday
  18. 4/9
  19. ₹50
  20. 56
  21. 1
  22. 8
  23. 4680
  24. 5%
  25. 2 cm
  26. 36
  27. 25/36
  28. 70
  29. 23
  30. 7
  31. 15
  32. ₹140
  33. Thursday
  34. 5
  35. 60 min
  36. 4
  37. 30
  38. 2
  39. ₹792
  40. 1

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