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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 995 · 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. 1.5.01 + 3.3 = ? (a) 5.34 (b) 8.41 (c) 8.21 (d) 8.31
  2. 2.What is 5/7 of 63? (a) 18 (b) 9 (c) 45 (d) 54
  3. 3.If 5 mangoes cost ₹30, how much do 10 mangoes cost? (a) ₹300 (b) ₹35 (c) ₹60 (d) ₹66
  4. 4.Every pair follows the same rule: 2 : 10, 3 : 11, 9 : 17. What is 4 : ? (a) 13 (b) 20 (c) 11 (d) 12
  5. 5.If 4x − 36 = 20, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  6. 6.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 27 days (c) 28 days (d) 15 days
  7. 7.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 11 cm (c) 180 cm (d) 22 cm
  8. 8.A bag marked ₹200 is sold at a 50% discount. What is its selling price? (a) ₹150 (b) ₹100 (c) ₹101 (d) ₹300
  9. 9.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 6 cm (c) 10 cm (d) 5 cm
  10. 10.If x/3 + 14 = 17, what is x? (a) 37 (b) 3 (c) 93 (d) 9
  11. 11.In how many years will ₹5500 earn ₹2200 simple interest at 10% per year? (a) 4 years (b) 5 years (c) 8 years (d) 3 years
  12. 12.If 3x + 20 = 29, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  13. 13.A bag marked ₹1180 is sold at a 10% discount. What is its selling price? (a) ₹1298 (b) ₹118 (c) ₹1062 (d) ₹1170
  14. 14.If x/5 + 12 = 16, what is x? (a) 140 (b) 68 (c) 20 (d) 4
  15. 15.Which fraction is greater: 1/4 or 6/11? (a) 6/11 (b) They are equal (c) 1/4
  16. 16.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹384 (b) ₹300 (c) ₹64 (d) ₹256
  17. 17.In how many years will ₹6500 earn ₹1560 simple interest at 8% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
  18. 18.If 14 July is a Wednesday, what day of the week is 25 July? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  19. 19.What is the simple interest on ₹2500 at 9% per year for 2 years? (a) ₹675 (b) ₹2950 (c) ₹450 (d) ₹225
  20. 20.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 61 (c) 103 (d) 56
  21. 21.What is the remainder when 86 is divided by 3? (a) 1 (b) 0 (c) 2
  22. 22.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 18 (b) 9 (c) 26 (d) 8
  23. 23.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 8 (b) 7 (c) 9 (d) 2
  24. 24.Which of these numbers is divisible by 6? (a) 1452 (b) 1462 (c) 1448 (d) 1456
  25. 25.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 40 (c) 12 (d) 34
  26. 26.₹559 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹43 (b) ₹430 (c) ₹387 (d) ₹172
  27. 27.₹210 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹63 (b) ₹147 (c) ₹21 (d) ₹105
  28. 28.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 42 min (c) 60 min (d) 360 min
  29. 29.What is the average of 59, 58, 36, 39, 47 and 55? (a) 51 (b) 50 (c) 48 (d) 49
  30. 30.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) 315 min (b) 3 min (c) 36 min (d) 105 min
  31. 31.Every pair follows the same rule: 4 : 16, 7 : 28, 8 : 32. What is 3 : ? (a) 15 (b) 13 (c) 11 (d) 12
  32. 32.What is the value of the digit 8 in 28.917? (a) 0.8 (b) 0.08 (c) 80 (d) 8
  33. 33.What is the simple interest on ₹5000 at 2% per year for 3 years? (a) ₹400 (b) ₹100 (c) ₹300 (d) ₹5300
  34. 34.What is the units digit of 3^34? (a) 9 (b) 1 (c) 7 (d) 3
  35. 35.If 4x + 3 = x + 39, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  36. 36.Which is the smallest: 0.032, 0.8, 0.85, 0.714? (a) 0.032 (b) 0.8 (c) 0.85 (d) 0.714
  37. 37.If 7x − 49 = 7, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  38. 38.If 8x + 17 = 6x + 29, what is x? (a) 23 (b) 6 (c) 7 (d) 8
  39. 39.If 7x + 12 = 6x + 20, what is x? (a) 9 (b) 10 (c) 8 (d) 32
  40. 40.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 8 : ? (a) 20 (b) 64 (c) 62 (d) 32

Answer key

  1. 8.31
  2. 45
  3. ₹60
  4. 12
  5. 14
  6. 27 days
  7. 11 cm
  8. ₹100
  9. 5 cm
  10. 9
  11. 4 years
  12. 3
  13. ₹1062
  14. 20
  15. 6/11
  16. ₹256
  17. 3 years
  18. Sunday
  19. ₹450
  20. 103
  21. 2
  22. 8
  23. 8
  24. 1452
  25. 40
  26. ₹387
  27. ₹147
  28. 60 min
  29. 49
  30. 105 min
  31. 12
  32. 8
  33. ₹300
  34. 9
  35. 12
  36. 0.032
  37. 8
  38. 6
  39. 8
  40. 64

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