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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 9 · 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. 1.4.76 + 6.1 = ? (a) 10.96 (b) 5.37 (c) 10.76 (d) 10.86
  2. 2.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 36 (c) 10 (d) 38
  3. 3.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 14 cm (c) 22 cm (d) 28 cm
  4. 4.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
  5. 5.Every pair follows the same rule: 3 : 4, 5 : 10, 7 : 16. What is 4 : ? (a) 8 (b) 5 (c) 6 (d) 7
  6. 6.A teacher has 6 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 6 (d) 1
  7. 7.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 48 (b) 12 (c) 23 (d) 11
  8. 8.What is 15% of 80? (a) 24 (b) 68 (c) 120 (d) 12
  9. 9.Every pair follows the same rule: 7 : 47, 8 : 62, 9 : 79. What is 2 : ? (a) 1 (b) 42 (c) 2 (d) 3
  10. 10.What is the value of the digit 5 in 78.514? (a) 0.05 (b) 5 (c) 0.5 (d) 0.005
  11. 11.In how many years will ₹9500 earn ₹3800 simple interest at 8% per year? (a) 5 years (b) 6 years (c) 10 years (d) 4 years
  12. 12.If 13 March is a Thursday, what day of the week is 25 March? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  13. 13.What is 15% of 740? (a) 1110 (b) 629 (c) 111 (d) 222
  14. 14.Today is Wednesday. What day of the week will it be after 72 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  15. 15.In how many years will ₹7500 earn ₹450 simple interest at 3% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year
  16. 16.Which fraction is greater: 3/5 or 9/11? (a) 9/11 (b) They are equal (c) 3/5
  17. 17.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 52 cm (b) 43 cm (c) 153 cm (d) 26 cm
  18. 18.A bag marked ₹1600 is sold at a 30% discount. What is its selling price? (a) ₹1570 (b) ₹1120 (c) ₹480 (d) ₹2080
  19. 19.Two ribbons are 36 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 252 cm (c) 6 cm (d) 3 cm
  20. 20.If x/5 + 2 = 13, what is x? (a) 55 (b) 75 (c) 63 (d) 11
  21. 21.1/2 + 6/9 = ? (a) 11/9 (b) 10/9 (c) 7/6 (d) 7/11
  22. 22.2/5 + 1/7 = ? (a) 18/35 (b) 19/35 (c) 1/4 (d) 4/7
  23. 23.Every pair follows the same rule: 2 : 16, 3 : 17, 8 : 22. What is 7 : ? (a) 56 (b) 21 (c) 20 (d) 22
  24. 24.A teacher has 88 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 792 (b) 1 (c) 11 (d) 88
  25. 25.If 9 notebooks cost ₹207, how much do 6 notebooks cost? (a) ₹204 (b) ₹161 (c) ₹1242 (d) ₹138
  26. 26.Every pair follows the same rule: 2 : 6, 3 : 9, 4 : 12. What is 7 : ? (a) 22 (b) 11 (c) 21 (d) 20
  27. 27.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 2 (b) 8 (c) 9 (d) 7
  28. 28.Which of these numbers is divisible by 4? (a) 3112 (b) 3110 (c) 3114 (d) 3118
  29. 29.Which fraction is greater: 1/4 or 1/12? (a) They are equal (b) 1/12 (c) 1/4
  30. 30.₹91 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹65 (b) ₹13 (c) ₹52 (d) ₹39
  31. 31.Every pair follows the same rule: 5 : 25, 7 : 49, 8 : 64. What is 6 : ? (a) 26 (b) 34 (c) 30 (d) 36
  32. 32.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 252 (b) 84 (c) 168 (d) 33
  33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹525. What is his profit percent? (a) 6% (b) 5% (c) 25% (d) 10%
  34. 34.Every pair follows the same rule: 3 : 4, 6 : 10, 8 : 14. What is 7 : ? (a) 8 (b) 11 (c) 13 (d) 12
  35. 35.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 48 days (b) 3 days (c) 18 days (d) 6 days
  36. 36.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 48 min (c) 4 min (d) 192 min
  37. 37.What is the smallest number you must add to 127 to make it divisible by 7? (a) 6 (b) 4 (c) 5 (d) 1
  38. 38.1/3 + 1/2 = ? (a) 5/6 (b) 2/5 (c) 2/3 (d) 1
  39. 39.Which of these numbers is divisible by 8? (a) 5219 (b) 5205 (c) 5208 (d) 5211
  40. 40.Every pair follows the same rule: 2 : 12, 3 : 18, 6 : 36. What is 4 : ? (a) 14 (b) 23 (c) 25 (d) 24

Answer key

  1. 10.86
  2. 44
  3. 28 cm
  4. 12 cm
  5. 7
  6. 3
  7. 11
  8. 12
  9. 2
  10. 0.5
  11. 5 years
  12. Tuesday
  13. 111
  14. Friday
  15. 2 years
  16. 9/11
  17. 52 cm
  18. ₹1120
  19. 6 cm
  20. 55
  21. 7/6
  22. 19/35
  23. 21
  24. 11
  25. ₹138
  26. 21
  27. 8
  28. 3112
  29. 1/4
  30. ₹52
  31. 36
  32. 84
  33. 5%
  34. 12
  35. 48 days
  36. 48 min
  37. 6
  38. 5/6
  39. 5208
  40. 24

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