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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 124 · 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.₹5500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹7150 (b) ₹1375 (c) ₹5775 (d) ₹6875
  2. 2.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 9 cm (d) 8 cm
  3. 3.What is the average of 62, 53, 57 and 88? (a) 64 (b) 67 (c) 65 (d) 66
  4. 4.What is the simple interest on ₹6000 at 11% per year for 2 years? (a) ₹1980 (b) ₹7320 (c) ₹660 (d) ₹1320
  5. 5.If 3 notebooks cost ₹57, how much do 10 notebooks cost? (a) ₹570 (b) ₹190 (c) ₹64 (d) ₹209
  6. 6.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 74% (b) 15% (c) 10% (d) 5%
  7. 7.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 7 cm (c) 55 cm (d) 6 cm
  8. 8.If 5x + 4 = 39, what is x? (a) 8 (b) 6 (c) 7 (d) 35
  9. 9.What is the smallest number you must add to 138 to make it divisible by 12? (a) 5 (b) 6 (c) 8 (d) 7
  10. 10.What is the remainder when 397 is divided by 5? (a) 4 (b) 1 (c) 3 (d) 2
  11. 11.What is the average of 19, 42, 23 and 48? (a) 33 (b) 34 (c) 32 (d) 44
  12. 12.What is the value of the digit 1 in 51.786? (a) 0.1 (b) 10 (c) 0.01 (d) 1
  13. 13.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 41% (b) 40% (c) 45% (d) 35%
  14. 14.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  15. 15.If 8x − 36 = 60, what is x? (a) 96 (b) 13 (c) 12 (d) 3
  16. 16.1.08 + 9.4 = ? (a) 10.48 (b) 10.38 (c) 10.58 (d) 2.02
  17. 17.What is 2/3 of 27? (a) 9 (b) 19 (c) 27 (d) 18
  18. 18.If x/5 + 4 = 14, what is x? (a) 66 (b) 10 (c) 90 (d) 50
  19. 19.The simple interest on ₹8500 for 2 years is ₹850. What is the rate per year? (a) 6% (b) 10% (c) 4% (d) 5%
  20. 20.What is the units digit of 3^25? (a) 1 (b) 3 (c) 7 (d) 9
  21. 21.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 33 days (c) 17 days (d) 5 days
  22. 22.What is 1/3 of 15? (a) 6 (b) 4 (c) 10 (d) 5
  23. 23.Which fraction is greater: 1/9 or 11/12? (a) 1/9 (b) They are equal (c) 11/12
  24. 24.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 3 min (c) 63 min (d) 189 min
  25. 25.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 5% (b) 10% (c) 24% (d) 15%
  26. 26.What is the remainder when 518 is divided by 11? (a) 10 (b) 0 (c) 1 (d) 2
  27. 27.Which fraction is greater: 7/10 or 1/4? (a) 1/4 (b) 7/10 (c) They are equal
  28. 28.If 4x − 47 = 5, what is x? (a) 12 (b) 52 (c) 14 (d) 13
  29. 29.If 27 April is a Thursday, what day of the week is 18 May? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  30. 30.Two ribbons are 49 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 49 cm (c) 7 cm (d) 14 cm
  31. 31.Which fraction is greater: 4/5 or 8/9? (a) They are equal (b) 4/5 (c) 8/9
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  33. 33.If 4 mangoes cost ₹64, how much do 10 mangoes cost? (a) ₹70 (b) ₹160 (c) ₹640 (d) ₹176
  34. 34.What is 40% of 360? (a) 216 (b) 288 (c) 1440 (d) 144
  35. 35.Which fraction is greater: 2/3 or 5/8? (a) 2/3 (b) They are equal (c) 5/8
  36. 36.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 25% (b) 30% (c) 26% (d) 20%
  37. 37.3/4 + 1/4 = ? (a) 1/2 (b) 5/4 (c) 1 (d) 3/4
  38. 38.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 17 days (d) 13 days
  39. 39.If 20 July is a Friday, what day of the week is 4 August? (a) Sunday (b) Friday (c) Monday (d) Saturday
  40. 40.A bag marked ₹1360 is sold at a 20% discount. What is its selling price? (a) ₹272 (b) ₹1340 (c) ₹1632 (d) ₹1088

Answer key

  1. ₹6875
  2. 8 cm
  3. 65
  4. ₹1320
  5. ₹190
  6. 10%
  7. 6 cm
  8. 7
  9. 6
  10. 2
  11. 33
  12. 1
  13. 40%
  14. 49 sq cm
  15. 12
  16. 10.48
  17. 18
  18. 50
  19. 5%
  20. 3
  21. 33 days
  22. 5
  23. 11/12
  24. 63 min
  25. 10%
  26. 1
  27. 7/10
  28. 13
  29. Thursday
  30. 7 cm
  31. 8/9
  32. 64 sq cm
  33. ₹160
  34. 144
  35. 2/3
  36. 25%
  37. 1
  38. 16 days
  39. Saturday
  40. ₹1088

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