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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 336 · 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.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 42 (b) 18 (c) 57 (d) 81
  2. 2.If x/6 + 12 = 17, what is x? (a) 30 (b) 5 (c) 174 (d) 90
  3. 3.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 40 (c) 5 (d) 10
  4. 4.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  5. 5.If 4x − 5 = 7, what is x? (a) 4 (b) 2 (c) 3 (d) 12
  6. 6.Which of these numbers is divisible by 9? (a) 5117 (b) 5137 (c) 5126 (d) 5121
  7. 7.What is the value of the digit 4 in 42.513? (a) 0.04 (b) 0.4 (c) 40 (d) 4
  8. 8.What is the value of the digit 2 in 92.657? (a) 20 (b) 0.02 (c) 0.2 (d) 2
  9. 9.What is the average of all the whole numbers from 15 to 31? (a) 16 (b) 24 (c) 23 (d) 8
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  11. 11.If 7 pens cost ₹56, how much do 11 pens cost? (a) ₹96 (b) ₹60 (c) ₹616 (d) ₹88
  12. 12.Which of these numbers is divisible by 8? (a) 2167 (b) 2180 (c) 2168 (d) 2172
  13. 13.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 40 min (c) 14 min (d) 20 min
  14. 14.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 13 days (d) 5 days
  15. 15.If 9x + 2 = 3x + 14, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  16. 16.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 24 min (c) 135 min (d) 3 min
  17. 17.If 3x + 16 = 25, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  18. 18.₹494 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹190 (b) ₹247 (c) ₹304 (d) ₹38
  19. 19.Which of these numbers is divisible by 4? (a) 2399 (b) 2394 (c) 2396 (d) 2402
  20. 20.A bag marked ₹1700 is sold at a 15% discount. What is its selling price? (a) ₹255 (b) ₹1445 (c) ₹1955 (d) ₹1685
  21. 21.If 7 January is a Monday, what day of the week is 19 January? (a) Friday (b) Sunday (c) Saturday (d) Monday
  22. 22.Every pair follows the same rule: 2 : 18, 5 : 21, 9 : 25. What is 6 : ? (a) 54 (b) 21 (c) 22 (d) 23
  23. 23.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 15 (c) 23 (d) 19
  24. 24.What is 1/5 of 30? (a) 24 (b) 6 (c) 12 (d) 7
  25. 25.1/2 + 1/2 = ? (a) 2 (b) 1/2 (c) 3/2 (d) 1
  26. 26.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
  27. 27.What is the average of 72, 73, 92 and 75? (a) 77 (b) 78 (c) 79 (d) 104
  28. 28.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 216 cm (c) 48 cm (d) 30 cm
  29. 29.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 9 days (d) 17 days
  30. 30.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 1 (b) 4 (c) 7 (d) 2
  31. 31.What is 1/2 of 16? (a) 8 (b) 7 (c) 16 (d) 9
  32. 32.Which fraction is greater: 3/5 or 8/9? (a) 3/5 (b) They are equal (c) 8/9
  33. 33.What is 1/2 of 24? (a) 11 (b) 13 (c) 12 (d) 24
  34. 34.Every pair follows the same rule: 3 : 22, 5 : 24, 7 : 26. What is 6 : ? (a) 24 (b) 26 (c) 27 (d) 25
  35. 35.What is 1/3 of 27? (a) 8 (b) 10 (c) 18 (d) 9
  36. 36.1/3 + 1/3 = ? (a) 1 (b) 1/3 (c) 4/3 (d) 2/3
  37. 37.If 5x − 16 = 14, what is x? (a) 6 (b) 7 (c) 5 (d) 30
  38. 38.In how many years will ₹8000 earn ₹3600 simple interest at 9% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  39. 39.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 12 (c) 13 (d) 23
  40. 40.1/4 + 2/3 = ? (a) 11/12 (b) 5/6 (c) 3/7 (d) 1

Answer key

  1. 57
  2. 30
  3. 10
  4. 144 sq cm
  5. 3
  6. 5121
  7. 40
  8. 2
  9. 23
  10. 121 sq cm
  11. ₹88
  12. 2168
  13. 20 min
  14. 5 days
  15. 2
  16. 45 min
  17. 3
  18. ₹304
  19. 2396
  20. ₹1445
  21. Saturday
  22. 22
  23. 23
  24. 6
  25. 1
  26. 32 sq cm
  27. 78
  28. 60 cm
  29. 8 days
  30. 1
  31. 8
  32. 8/9
  33. 12
  34. 25
  35. 9
  36. 2/3
  37. 6
  38. 5 years
  39. 22
  40. 11/12

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