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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 965 · 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 of these numbers is divisible by 9? (a) 3032 (b) 3039 (c) 3024 (d) 3017
  2. 2.If 3x − 25 = 14, what is x? (a) 14 (b) 13 (c) 12 (d) 39
  3. 3.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 49 cm (c) 29 cm (d) 58 cm
  4. 4.What is the value of the digit 7 in 65.217? (a) 7 (b) 0.07 (c) 0.007 (d) 0.7
  5. 5.What is the average of all the whole numbers from 13 to 45? (a) 32 (b) 16 (c) 30 (d) 29
  6. 6.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 24 cm (d) 13 cm
  7. 7.Which fraction is greater: 3/4 or 2/7? (a) They are equal (b) 3/4 (c) 2/7
  8. 8.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 10% (b) 5% (c) 16% (d) 15%
  9. 9.What is 1/2 of 14? (a) 8 (b) 14 (c) 6 (d) 7
  10. 10.₹168 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹48 (b) ₹84 (c) ₹24 (d) ₹120
  11. 11.What is the units digit of 2^40? (a) 4 (b) 8 (c) 6 (d) 2
  12. 12.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 62% (b) 10% (c) 15% (d) 5%
  13. 13.In how many years will ₹8500 earn ₹2380 simple interest at 7% per year? (a) 8 years (b) 4 years (c) 5 years (d) 3 years
  14. 14.What is 1/3 of 18? (a) 7 (b) 5 (c) 12 (d) 6
  15. 15.1/3 + 1/2 = ? (a) 5/6 (b) 1 (c) 2/5 (d) 2/3
  16. 16.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 84 (b) 40 (c) 336 (d) 168
  17. 17.If 5x + 4 = x + 48, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  18. 18.Every pair follows the same rule: 3 : 6, 4 : 13, 7 : 46. What is 5 : ? (a) 24 (b) 8 (c) 10 (d) 22
  19. 19.Every pair follows the same rule: 3 : 9, 4 : 10, 5 : 11. What is 6 : ? (a) 13 (b) 18 (c) 11 (d) 12
  20. 20.If 10 January is a Saturday, what day of the week is 14 February? (a) Saturday (b) Sunday (c) Monday (d) Friday
  21. 21.7.69 + 4.5 = ? (a) 12.29 (b) 8.14 (c) 12.09 (d) 12.19
  22. 22.Every pair follows the same rule: 5 : 27, 7 : 51, 8 : 66. What is 4 : ? (a) 26 (b) 6 (c) 18 (d) 19
  23. 23.What is the value of the digit 2 in 25.731? (a) 20 (b) 0.2 (c) 0.02 (d) 2
  24. 24.Which fraction is greater: 7/9 or 2/3? (a) They are equal (b) 7/9 (c) 2/3
  25. 25.A shopkeeper buys a toy for ₹740 and sells it for ₹629. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 16%
  26. 26.What is the average of 10, 28, 19, 13, 37 and 37? (a) 23 (b) 26 (c) 25 (d) 24
  27. 27.What is the value of the digit 5 in 51.243? (a) 5 (b) 50 (c) 0.05 (d) 0.5
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  29. 29.If 3x + 15 = 60, what is x? (a) 25 (b) 15 (c) 45 (d) 16
  30. 30.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 24 days (c) 25 days (d) 4 days
  31. 31.If 28 January is a Friday, what day of the week is 14 February? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  32. 32.Which is the smallest: 0.059, 0.7, 0.657, 0.71? (a) 0.059 (b) 0.7 (c) 0.657 (d) 0.71
  33. 33.What is the simple interest on ₹6000 at 2% per year for 2 years? (a) ₹240 (b) ₹120 (c) ₹360 (d) ₹6240
  34. 34.What is the remainder when 462 is divided by 10? (a) 3 (b) 8 (c) 1 (d) 2
  35. 35.The simple interest on ₹10000 for 2 years is ₹1000. What is the rate per year? (a) 4% (b) 6% (c) 10% (d) 5%
  36. 36.If 6 pens cost ₹150, how much do 8 pens cost? (a) ₹152 (b) ₹200 (c) ₹225 (d) ₹1200
  37. 37.What is the average of all the whole numbers from 32 to 64? (a) 32 (b) 48 (c) 16 (d) 49
  38. 38.What is 75% of 700? (a) 1050 (b) 5250 (c) 175 (d) 525
  39. 39.What is the value of the digit 3 in 87.463? (a) 0.003 (b) 3 (c) 0.03 (d) 0.3
  40. 40.If 8 notebooks cost ₹120, how much do 9 notebooks cost? (a) ₹121 (b) ₹1080 (c) ₹150 (d) ₹135

Answer key

  1. 3024
  2. 13
  3. 58 cm
  4. 0.007
  5. 29
  6. 12 cm
  7. 3/4
  8. 10%
  9. 7
  10. ₹120
  11. 6
  12. 10%
  13. 4 years
  14. 6
  15. 5/6
  16. 84
  17. 11
  18. 22
  19. 12
  20. Saturday
  21. 12.19
  22. 18
  23. 20
  24. 7/9
  25. 15%
  26. 24
  27. 50
  28. 25 sq cm
  29. 15
  30. 24 days
  31. Monday
  32. 0.059
  33. ₹240
  34. 2
  35. 5%
  36. ₹200
  37. 48
  38. 525
  39. 0.003
  40. ₹135

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