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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 415 · 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.If 4x + 5 = x + 23, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  2. 2.What is the simple interest on ₹5000 at 12% per year for 2 years? (a) ₹600 (b) ₹1800 (c) ₹1200 (d) ₹6200
  3. 3.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 26 (b) 28 (c) 27 (d) 3
  4. 4.What is the value of the digit 7 in 76.529? (a) 7 (b) 0.07 (c) 0.7 (d) 70
  5. 5.7.29 + 8.2 = ? (a) 15.59 (b) 15.39 (c) 8.11 (d) 15.49
  6. 6.What is the units digit of 8^45? (a) 4 (b) 2 (c) 8 (d) 6
  7. 7.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 74 (b) 24 (c) 23 (d) 35
  8. 8.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 42 cm
  9. 9.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
  10. 10.₹333 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹37 (b) ₹333 (c) ₹297 (d) ₹296
  11. 11.If 3 July is a Saturday, what day of the week is 13 July? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  12. 12.Which fraction is greater: 6/7 or 1/4? (a) 1/4 (b) They are equal (c) 6/7
  13. 13.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 49 (c) 3 (d) 2
  14. 14.If 8x + 30 = 118, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  17. 17.If 7 pens cost ₹119, how much do 2 pens cost? (a) ₹238 (b) ₹51 (c) ₹34 (d) ₹114
  18. 18.4.48 + 6.2 = ? (a) 5.1 (b) 10.78 (c) 10.58 (d) 10.68
  19. 19.Which of these numbers is divisible by 4? (a) 1631 (b) 1626 (c) 1628 (d) 1635
  20. 20.What is the average of 68, 57, 70, 81 and 59? (a) 68 (b) 66 (c) 67 (d) 69
  21. 21.3.54 + 2.8 = ? (a) 6.44 (b) 3.82 (c) 6.34 (d) 6.24
  22. 22.Which is the greatest: 0.072, 0.86, 0.8, 0.731? (a) 0.072 (b) 0.86 (c) 0.8 (d) 0.731
  23. 23.Which is the greatest: 0.029, 0.276, 0.36, 0.3? (a) 0.029 (b) 0.276 (c) 0.36 (d) 0.3
  24. 24.What is the simple interest on ₹3500 at 10% per year for 4 years? (a) ₹350 (b) ₹1750 (c) ₹1400 (d) ₹4900
  25. 25.Which is the greatest: 0.85, 0.089, 0.756, 0.8? (a) 0.85 (b) 0.089 (c) 0.756 (d) 0.8
  26. 26.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 39 cm (c) 46 cm (d) 23 cm
  27. 27.What is 4/5 of 25? (a) 25 (b) 5 (c) 21 (d) 20
  28. 28.Which of these numbers is divisible by 8? (a) 4961 (b) 4948 (c) 4952 (d) 4953
  29. 29.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 6 min (c) 30 min (d) 216 min
  30. 30.Which of these numbers is divisible by 4? (a) 481 (b) 486 (c) 484 (d) 489
  31. 31.What is 75% of 120? (a) 90 (b) 180 (c) 30 (d) 900
  32. 32.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 30% (b) 10% (c) 20% (d) 15%
  33. 33.What is 15% of 680? (a) 1020 (b) 578 (c) 204 (d) 102
  34. 34.2/9 + 2/3 = ? (a) 1 (b) 8/9 (c) 1/3 (d) 7/9
  35. 35.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 4 : ? (a) 2 (b) 15 (c) 14 (d) 4
  36. 36.If 4x + 19 = 3x + 21, what is x? (a) 4 (b) 3 (c) 40 (d) 2
  37. 37.4.31 + 7.3 = ? (a) 11.61 (b) 11.71 (c) 11.51 (d) 5.04
  38. 38.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹465 (b) ₹72 (c) ₹552 (d) ₹408
  39. 39.1.71 + 6.5 = ? (a) 2.36 (b) 8.31 (c) 8.21 (d) 8.11
  40. 40.What is the simple interest on ₹1000 at 2% per year for 5 years? (a) ₹1100 (b) ₹120 (c) ₹100 (d) ₹20

Answer key

  1. 6
  2. ₹1200
  3. 27
  4. 70
  5. 15.49
  6. 8
  7. 23
  8. 44 cm
  9. 40%
  10. ₹296
  11. Tuesday
  12. 6/7
  13. 2
  14. 11
  15. 24 sq cm
  16. 169 sq cm
  17. ₹34
  18. 10.68
  19. 1628
  20. 67
  21. 6.34
  22. 0.86
  23. 0.36
  24. ₹1400
  25. 0.85
  26. 46 cm
  27. 20
  28. 4952
  29. 36 min
  30. 484
  31. 90
  32. 15%
  33. 102
  34. 8/9
  35. 14
  36. 2
  37. 11.61
  38. ₹408
  39. 8.21
  40. ₹100

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