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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 321 · 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.Today is Tuesday. What day of the week will it be after 76 days? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  2. 2.The simple interest on ₹5000 for 5 years is ₹1000. What is the rate per year? (a) 3% (b) 4% (c) 20% (d) 5%
  3. 3.If 12 September is a Friday, what day of the week is 9 October? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  4. 4.A teacher has 22 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 11 (c) 77 (d) 22
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  6. 6.What is the simple interest on ₹5500 at 3% per year for 4 years? (a) ₹825 (b) ₹165 (c) ₹660 (d) ₹6160
  7. 7.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 209 sq cm (c) 228 sq cm (d) 60 sq cm
  8. 8.Which of these numbers is divisible by 11? (a) 2726 (b) 2716 (c) 2706 (d) 2703
  9. 9.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 20 cm (d) 16 cm
  10. 10.What is 5/8 of 88? (a) 33 (b) 55 (c) 66 (d) 11
  11. 11.What is 75% of 660? (a) 165 (b) 990 (c) 4950 (d) 495
  12. 12.What is the average of 35, 49, 60 and 48? (a) 64 (b) 49 (c) 48 (d) 47
  13. 13.If 2x + 23 = 45, what is x? (a) 12 (b) 11 (c) 34 (d) 22
  14. 14.Every pair follows the same rule: 2 : 10, 3 : 13, 4 : 16. What is 7 : ? (a) 26 (b) 35 (c) 15 (d) 25
  15. 15.What is 1/2 of 16? (a) 7 (b) 8 (c) 9 (d) 16
  16. 16.If 2x + 20 = 24, what is x? (a) 3 (b) 22 (c) 4 (d) 2
  17. 17.What is the remainder when 492 is divided by 7? (a) 3 (b) 2 (c) 1 (d) 5
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  19. 19.1/7 + 1/3 = ? (a) 10/21 (b) 11/21 (c) 1/5 (d) 3/7
  20. 20.Today is Monday. What day of the week will it be after 35 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  21. 21.₹5500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹6050 (b) ₹5610 (c) ₹550 (d) ₹6160
  22. 22.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 2 (b) 9 (c) 8 (d) 7
  23. 23.Which is the smallest: 0.066, 0.3, 0.34, 0.232? (a) 0.066 (b) 0.3 (c) 0.34 (d) 0.232
  24. 24.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 17 (b) 16 (c) 20 (d) 41
  25. 25.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 18 min (c) 54 min (d) 3 min
  26. 26.Which fraction is greater: 9/11 or 5/6? (a) They are equal (b) 9/11 (c) 5/6
  27. 27.If x/5 + 1 = 12, what is x? (a) 11 (b) 65 (c) 55 (d) 59
  28. 28.Which is the smallest: 0.032, 0.562, 0.68, 0.6? (a) 0.032 (b) 0.562 (c) 0.68 (d) 0.6
  29. 29.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 162 sq cm (d) 54 sq cm
  30. 30.What is 1/3 of 12? (a) 8 (b) 5 (c) 4 (d) 3
  31. 31.If x/4 + 2 = 14, what is x? (a) 64 (b) 12 (c) 54 (d) 48
  32. 32.If 8 kites cost ₹88, how much do 10 kites cost? (a) ₹90 (b) ₹121 (c) ₹880 (d) ₹110
  33. 33.Every pair follows the same rule: 3 : 17, 4 : 21, 9 : 41. What is 6 : ? (a) 30 (b) 20 (c) 28 (d) 29
  34. 34.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 6 cm (c) 50 cm (d) 12 cm
  35. 35.Which is the smallest: 0.351, 0.034, 0.4, 0.44? (a) 0.351 (b) 0.034 (c) 0.4 (d) 0.44
  36. 36.If x/6 + 6 = 12, what is x? (a) 36 (b) 108 (c) 6 (d) 66
  37. 37.What is 1/3 of 9? (a) 2 (b) 4 (c) 6 (d) 3
  38. 38.3/6 + 6/9 = ? (a) 7/6 (b) 10/9 (c) 3/5 (d) 11/9
  39. 39.What is 5/6 of 72? (a) 12 (b) 72 (c) 61 (d) 60
  40. 40.Which is the greatest: 0.3, 0.058, 0.257, 0.31? (a) 0.3 (b) 0.058 (c) 0.257 (d) 0.31

Answer key

  1. Monday
  2. 4%
  3. Thursday
  4. 11
  5. 225 sq cm
  6. ₹660
  7. 209 sq cm
  8. 2706
  9. 20 cm
  10. 55
  11. 495
  12. 48
  13. 11
  14. 25
  15. 8
  16. 2
  17. 2
  18. 25 sq cm
  19. 10/21
  20. Monday
  21. ₹6050
  22. 8
  23. 0.066
  24. 16
  25. 18 min
  26. 5/6
  27. 55
  28. 0.032
  29. 162 sq cm
  30. 4
  31. 48
  32. ₹110
  33. 29
  34. 6 cm
  35. 0.034
  36. 36
  37. 3
  38. 7/6
  39. 60
  40. 0.31

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