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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 982 · 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.A bag marked ₹1480 is sold at a 50% discount. What is its selling price? (a) ₹1430 (b) ₹741 (c) ₹740 (d) ₹2220
  2. 2.What is the smallest number you must add to 653 to make it divisible by 11? (a) 4 (b) 8 (c) 6 (d) 7
  3. 3.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  4. 4.What is 40% of 140? (a) 84 (b) 56 (c) 560 (d) 112
  5. 5.Every pair follows the same rule: 2 : 1, 6 : 33, 7 : 46. What is 9 : ? (a) 79 (b) 78 (c) 77 (d) 72
  6. 6.Every pair follows the same rule: 2 : 9, 6 : 21, 9 : 30. What is 4 : ? (a) 14 (b) 11 (c) 15 (d) 16
  7. 7.What is the average of 86, 65, 69 and 92? (a) 77 (b) 79 (c) 104 (d) 78
  8. 8.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 28 (b) 46 (c) 88 (d) 70
  9. 9.What is the average of 31, 34, 17 and 14? (a) 32 (b) 23 (c) 25 (d) 24
  10. 10.What is 50% of 720? (a) 720 (b) 3600 (c) 361 (d) 360
  11. 11.Which of these numbers is divisible by 6? (a) 3386 (b) 3391 (c) 3401 (d) 3390
  12. 12.What is the simple interest on ₹8500 at 5% per year for 2 years? (a) ₹425 (b) ₹1275 (c) ₹9350 (d) ₹850
  13. 13.Which is the greatest: 0.5, 0.046, 0.447, 0.55? (a) 0.5 (b) 0.046 (c) 0.447 (d) 0.55
  14. 14.₹304 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹38 (b) ₹304 (c) ₹152 (d) ₹266
  15. 15.What is the remainder when 341 is divided by 10? (a) 0 (b) 2 (c) 1 (d) 9
  16. 16.If 10 January is a Thursday, what day of the week is 18 January? (a) Friday (b) Sunday (c) Saturday (d) Thursday
  17. 17.9 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 15 days (b) 18 days (c) 9 days (d) 8 days
  18. 18.Which fraction is greater: 1/12 or 1/3? (a) 1/12 (b) 1/3 (c) They are equal
  19. 19.If 4x + 12 = 2x + 14, what is x? (a) 2 (b) 1 (c) 3 (d) 13
  20. 20.If 2 kites cost ₹36, how much do 4 kites cost? (a) ₹90 (b) ₹38 (c) ₹144 (d) ₹72
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  22. 22.1/4 + 1/8 = ? (a) 1/2 (b) 1/4 (c) 3/8 (d) 1/6
  23. 23.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 13 cm (c) 165 cm (d) 12 cm
  24. 24.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 16 (c) 40 (d) 4
  25. 25.If 4x − 1 = 27, what is x? (a) 28 (b) 6 (c) 8 (d) 7
  26. 26.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 10 days (c) 3 days (d) 2 days
  27. 27.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 45 min (c) 5 min (d) 70 min
  28. 28.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 48 min (d) 14 min
  29. 29.If 3x + 6 = x + 14, what is x? (a) 2 (b) 4 (c) 10 (d) 5
  30. 30.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
  31. 31.If 6x − 35 = 31, what is x? (a) 11 (b) 66 (c) 10 (d) 12
  32. 32.What is 15% of 680? (a) 1020 (b) 102 (c) 578 (d) 204
  33. 33.What is the units digit of 7^26? (a) 3 (b) 1 (c) 9 (d) 7
  34. 34.If 3x − 22 = 17, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  35. 35.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 2 : ? (a) 2 (b) 8 (c) 9 (d) 7
  36. 36.What is the value of the digit 9 in 85.419? (a) 0.9 (b) 0.009 (c) 0.09 (d) 9
  37. 37.In how many years will ₹2000 earn ₹180 simple interest at 3% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
  38. 38.₹4500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹4995 (b) ₹6480 (c) ₹1980 (d) ₹6975
  39. 39.The simple interest on ₹6000 for 2 years is ₹960. What is the rate per year? (a) 8% (b) 7% (c) 16% (d) 9%
  40. 40.What is the remainder when 485 is divided by 10? (a) 6 (b) 5 (c) 4 (d) 7

Answer key

  1. ₹740
  2. 7
  3. 30%
  4. 56
  5. 78
  6. 15
  7. 78
  8. 70
  9. 24
  10. 360
  11. 3390
  12. ₹850
  13. 0.55
  14. ₹266
  15. 1
  16. Friday
  17. 18 days
  18. 1/3
  19. 1
  20. ₹72
  21. 144 sq cm
  22. 3/8
  23. 12 cm
  24. 8
  25. 7
  26. 3 days
  27. 70 min
  28. 24 min
  29. 4
  30. 40%
  31. 11
  32. 102
  33. 9
  34. 13
  35. 8
  36. 0.009
  37. 3 years
  38. ₹6480
  39. 8%
  40. 5

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