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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 222 · 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.What is 4/5 of 25? (a) 5 (b) 25 (c) 21 (d) 20
  2. 2.Today is Friday. What day of the week will it be after 98 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  3. 3.If 3x + 1 = 16, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  4. 4.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 100 min (c) 5 min (d) 500 min
  5. 5.What is the average of all the whole numbers from 33 to 65? (a) 32 (b) 49 (c) 50 (d) 16
  6. 6.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 52 sq cm (d) 152 sq cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  8. 8.Every pair follows the same rule: 6 : 39, 7 : 52, 8 : 67. What is 4 : ? (a) 19 (b) 37 (c) 7 (d) 20
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 7 cm (c) 75 cm (d) 6 cm
  11. 11.What is 2/5 of 45? (a) 9 (b) 19 (c) 18 (d) 27
  12. 12.What is the units digit of 9^57? (a) 8 (b) 7 (c) 9 (d) 1
  13. 13.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 13 days (c) 7 days (d) 25 days
  14. 14.What is the simple interest on ₹2500 at 2% per year for 3 years? (a) ₹2650 (b) ₹50 (c) ₹150 (d) ₹200
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 28 cm (d) 15 cm
  16. 16.A bag marked ₹640 is sold at a 50% discount. What is its selling price? (a) ₹960 (b) ₹321 (c) ₹320 (d) ₹590
  17. 17.₹3500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹770 (b) ₹4270 (c) ₹3885 (d) ₹4655
  18. 18.If 1 March is a Friday, what day of the week is 11 March? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  19. 19.If 7 May is a Wednesday, what day of the week is 20 May? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  20. 20.Which fraction is greater: 7/9 or 4/5? (a) They are equal (b) 4/5 (c) 7/9
  21. 21.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 58 sq cm (c) 216 sq cm (d) 29 sq cm
  22. 22.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 35% (b) 25% (c) 90% (d) 30%
  23. 23.What is the value of the digit 3 in 63.915? (a) 0.03 (b) 30 (c) 3 (d) 0.3
  24. 24.What is the remainder when 112 is divided by 10? (a) 8 (b) 3 (c) 2 (d) 1
  25. 25.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 105 min (c) 315 min (d) 3 min
  26. 26.1/3 + 5/6 = ? (a) 7/6 (b) 2/3 (c) 1 (d) 4/3
  27. 27.If x/5 + 2 = 14, what is x? (a) 60 (b) 80 (c) 12 (d) 68
  28. 28.1.19 + 4.5 = ? (a) 5.69 (b) 1.64 (c) 5.59 (d) 5.79
  29. 29.What is 15% of 40? (a) 6 (b) 34 (c) 12 (d) 60
  30. 30.A teacher has 66 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 66 (c) 462 (d) 11
  31. 31.If 7 July is a Monday, what day of the week is 19 July? (a) Sunday (b) Saturday (c) Monday (d) Friday
  32. 32.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 47 (c) 46 (d) 101
  33. 33.Every pair follows the same rule: 2 : 14, 3 : 21, 5 : 35. What is 8 : ? (a) 57 (b) 20 (c) 56 (d) 55
  34. 34.What is 1/3 of 15? (a) 6 (b) 5 (c) 4 (d) 10
  35. 35.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
  36. 36.If x/3 + 2 = 7, what is x? (a) 5 (b) 19 (c) 27 (d) 15
  37. 37.9.52 + 5.3 = ? (a) 14.82 (b) 10.05 (c) 14.72 (d) 14.92
  38. 38.What is the smallest number you must add to 65 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  39. 39.A bag marked ₹340 is sold at a 20% discount. What is its selling price? (a) ₹68 (b) ₹320 (c) ₹272 (d) ₹408
  40. 40.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 45 (c) 46 (d) 30

Answer key

  1. 20
  2. Friday
  3. 5
  4. 100 min
  5. 49
  6. 133 sq cm
  7. 144 sq cm
  8. 19
  9. 81 sq cm
  10. 6 cm
  11. 18
  12. 9
  13. 25 days
  14. ₹150
  15. 30 cm
  16. ₹320
  17. ₹4270
  18. Monday
  19. Tuesday
  20. 4/5
  21. 198 sq cm
  22. 30%
  23. 3
  24. 2
  25. 105 min
  26. 7/6
  27. 60
  28. 5.69
  29. 6
  30. 11
  31. Saturday
  32. 46
  33. 56
  34. 5
  35. 64 sq cm
  36. 15
  37. 14.82
  38. 3
  39. ₹272
  40. 45

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