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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 46 · 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 teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 10 (c) 30 (d) 5
  2. 2.Today is Sunday. What day of the week will it be after 16 days? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
  3. 3.If 8 notebooks cost ₹104, how much do 3 notebooks cost? (a) ₹52 (b) ₹312 (c) ₹99 (d) ₹39
  4. 4.If 5 notebooks cost ₹115, how much do 2 notebooks cost? (a) ₹230 (b) ₹69 (c) ₹46 (d) ₹112
  5. 5.What is the average of all the whole numbers from 33 to 45? (a) 39 (b) 12 (c) 40 (d) 6
  6. 6.Today is Sunday. What day of the week will it be after 30 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  7. 7.What is the smallest number you must add to 343 to make it divisible by 6? (a) 1 (b) 3 (c) 4 (d) 5
  8. 8.What is the value of the digit 2 in 67.259? (a) 2 (b) 0.02 (c) 0.2 (d) 0.002
  9. 9.If 9x − 81 = 18, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  10. 10.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 18 cm (c) 144 cm (d) 10 cm
  11. 11.What is the remainder when 273 is divided by 9? (a) 2 (b) 4 (c) 3 (d) 6
  12. 12.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 4 cm (c) 54 cm (d) 8 cm
  13. 13.If 9x − 46 = 44, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  14. 14.Which fraction is greater: 1/7 or 4/5? (a) They are equal (b) 1/7 (c) 4/5
  15. 15.Every pair follows the same rule: 2 : 18, 3 : 27, 6 : 54. What is 9 : ? (a) 80 (b) 82 (c) 81 (d) 25
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  17. 17.What is the value of the digit 4 in 68.473? (a) 0.4 (b) 0.04 (c) 4 (d) 0.004
  18. 18.What is 1/2 of 14? (a) 6 (b) 8 (c) 7 (d) 14
  19. 19.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
  20. 20.If 14 October is a Sunday, what day of the week is 2 November? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  21. 21.What is 20% of 400? (a) 320 (b) 80 (c) 160 (d) 800
  22. 22.What is 1/4 of 16? (a) 8 (b) 12 (c) 5 (d) 4
  23. 23.A teacher has 12 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 4 (d) 8
  24. 24.What is the average of all the whole numbers from 46 to 80? (a) 64 (b) 34 (c) 63 (d) 17
  25. 25.If 8x + 12 = 84, what is x? (a) 72 (b) 9 (c) 10 (d) 12
  26. 26.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 9 cm (d) 18 cm
  27. 27.₹100 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹100 (b) ₹25 (c) ₹50 (d) ₹75
  28. 28.Every pair follows the same rule: 2 : 5, 4 : 17, 9 : 82. What is 5 : ? (a) 30 (b) 8 (c) 26 (d) 27
  29. 29.The simple interest on ₹2500 for 3 years is ₹150. What is the rate per year? (a) 2% (b) 6% (c) 1% (d) 3%
  30. 30.The simple interest on ₹4500 for 2 years is ₹540. What is the rate per year? (a) 12% (b) 5% (c) 6% (d) 7%
  31. 31.What is 60% of 380? (a) 152 (b) 2280 (c) 228 (d) 456
  32. 32.The simple interest on ₹8000 for 4 years is ₹2240. What is the rate per year? (a) 28% (b) 8% (c) 7% (d) 6%
  33. 33.A bag marked ₹580 is sold at a 20% discount. What is its selling price? (a) ₹560 (b) ₹696 (c) ₹464 (d) ₹116
  34. 34.In how many years will ₹1000 earn ₹250 simple interest at 5% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
  35. 35.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 30 (b) 62 (c) 86 (d) 68
  36. 36.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 45 (c) 27 (d) 66
  37. 37.Which fraction is greater: 1/12 or 1/4? (a) 1/12 (b) They are equal (c) 1/4
  38. 38.What is 60% of 440? (a) 264 (b) 528 (c) 2640 (d) 176
  39. 39.If 19 June is a Friday, what day of the week is 8 July? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  40. 40.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 6 cm (c) 44 cm (d) 5 cm

Answer key

  1. 5
  2. Tuesday
  3. ₹39
  4. ₹46
  5. 39
  6. Tuesday
  7. 5
  8. 0.2
  9. 11
  10. 9 cm
  11. 3
  12. 4 cm
  13. 10
  14. 4/5
  15. 81
  16. 225 sq cm
  17. 0.4
  18. 7
  19. 25%
  20. Friday
  21. 80
  22. 4
  23. 4
  24. 63
  25. 9
  26. 9 cm
  27. ₹75
  28. 26
  29. 2%
  30. 6%
  31. 228
  32. 7%
  33. ₹464
  34. 5 years
  35. 86
  36. 66
  37. 1/4
  38. 264
  39. Wednesday
  40. 5 cm

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