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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 988 · 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 the average of 9, 12, 20, 25, 24 and 48? (a) 23 (b) 22 (c) 24 (d) 25
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  3. 3.Which is the greatest: 0.028, 0.8, 0.769, 0.86? (a) 0.028 (b) 0.8 (c) 0.769 (d) 0.86
  4. 4.What is the average of all the whole numbers from 42 to 50? (a) 4 (b) 47 (c) 8 (d) 46
  5. 5.What is the simple interest on ₹9000 at 10% per year for 3 years? (a) ₹3600 (b) ₹900 (c) ₹2700 (d) ₹11700
  6. 6.What is 2/3 of 12? (a) 4 (b) 9 (c) 12 (d) 8
  7. 7.₹192 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹96 (b) ₹192 (c) ₹32 (d) ₹160
  8. 8.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 28 sq cm (c) 14 sq cm (d) 45 sq cm
  9. 9.What is the remainder when 110 is divided by 4? (a) 2 (b) 3 (c) 1 (d) 0
  10. 10.If 4x + 4 = 3x + 12, what is x? (a) 16 (b) 10 (c) 8 (d) 9
  11. 11.If 30 January is a Wednesday, what day of the week is 2 February? (a) Sunday (b) Monday (c) Saturday (d) Friday
  12. 12.₹8000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹10880 (b) ₹8480 (c) ₹10400 (d) ₹2400
  13. 13.Which is the smallest: 0.64, 0.588, 0.038, 0.6? (a) 0.64 (b) 0.588 (c) 0.038 (d) 0.6
  14. 14.Every pair follows the same rule: 2 : 14, 3 : 19, 7 : 39. What is 6 : ? (a) 42 (b) 34 (c) 35 (d) 18
  15. 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 120 cm
  16. 16.If 5 August is a Thursday, what day of the week is 13 August? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  18. 18.7.65 + 2.8 = ? (a) 10.35 (b) 7.93 (c) 10.55 (d) 10.45
  19. 19.A teacher has 48 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 336 (b) 4 (c) 8 (d) 48
  20. 20.₹114 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹95 (b) ₹57 (c) ₹114 (d) ₹19
  21. 21.If 2 July is a Saturday, what day of the week is 17 July? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  22. 22.6.98 + 8.4 = ? (a) 15.28 (b) 15.48 (c) 7.82 (d) 15.38
  23. 23.Which is the smallest: 0.4, 0.44, 0.375, 0.034? (a) 0.4 (b) 0.44 (c) 0.375 (d) 0.034
  24. 24.If 4x − 11 = 1, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  25. 25.What is the value of the digit 7 in 42.791? (a) 0.007 (b) 7 (c) 0.07 (d) 0.7
  26. 26.What is the simple interest on ₹2000 at 6% per year for 3 years? (a) ₹360 (b) ₹2360 (c) ₹480 (d) ₹120
  27. 27.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 5 min (c) 250 min (d) 50 min
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
  29. 29.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 84 min (c) 6 min (d) 504 min
  30. 30.The simple interest on ₹3000 for 4 years is ₹600. What is the rate per year? (a) 4% (b) 6% (c) 20% (d) 5%
  31. 31.What is the units digit of 2^16? (a) 2 (b) 6 (c) 4 (d) 8
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  33. 33.A bag marked ₹1460 is sold at a 15% discount. What is its selling price? (a) ₹1679 (b) ₹1241 (c) ₹219 (d) ₹1445
  34. 34.If 6x + 3 = 33, what is x? (a) 4 (b) 30 (c) 6 (d) 5
  35. 35.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹364 (b) ₹196 (c) ₹250 (d) ₹84
  36. 36.What is the value of the digit 9 in 62.459? (a) 0.009 (b) 0.09 (c) 9 (d) 0.9
  37. 37.Which of these numbers is divisible by 8? (a) 4494 (b) 4496 (c) 4508 (d) 4501
  38. 38.What is the average of all the whole numbers from 54 to 70? (a) 62 (b) 63 (c) 8 (d) 16
  39. 39.₹48 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹48 (b) ₹24 (c) ₹40 (d) ₹8
  40. 40.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 126 min (c) 3 min (d) 42 min

Answer key

  1. 23
  2. 144 sq cm
  3. 0.86
  4. 46
  5. ₹2700
  6. 8
  7. ₹160
  8. 45 sq cm
  9. 2
  10. 8
  11. Saturday
  12. ₹10400
  13. 0.038
  14. 34
  15. 11 cm
  16. Friday
  17. 81 sq cm
  18. 10.45
  19. 8
  20. ₹95
  21. Sunday
  22. 15.38
  23. 0.034
  24. 3
  25. 0.7
  26. ₹360
  27. 50 min
  28. 30 cm
  29. 84 min
  30. 5%
  31. 6
  32. 121 sq cm
  33. ₹1241
  34. 5
  35. ₹196
  36. 0.009
  37. 4496
  38. 62
  39. ₹40
  40. 42 min

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