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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 882 · 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 rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 130 cm (c) 46 cm (d) 36 cm
  2. 2.Which of these numbers is divisible by 6? (a) 3032 (b) 3038 (c) 3036 (d) 3044
  3. 3.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 35 (b) 66 (c) 59 (d) 87
  4. 4.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 48 (c) 39 (d) 15
  5. 5.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 112 (b) 56 (c) 224 (d) 36
  6. 6.Today is Tuesday. What day of the week will it be after 93 days? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  7. 7.Every pair follows the same rule: 2 : 1, 4 : 13, 6 : 33. What is 5 : ? (a) 22 (b) 23 (c) 21 (d) 24
  8. 8.Which of these numbers is divisible by 11? (a) 5457 (b) 5456 (c) 5476 (d) 5455
  9. 9.What is the value of the digit 8 in 83.129? (a) 0.08 (b) 0.8 (c) 8 (d) 80
  10. 10.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 9 (c) 378 (d) 54
  11. 11.2.49 + 1.2 = ? (a) 3.79 (b) 3.59 (c) 3.69 (d) 2.61
  12. 12.What is the value of the digit 3 in 93.468? (a) 3 (b) 0.3 (c) 30 (d) 0.03
  13. 13.If 6x − 12 = 24, what is x? (a) 7 (b) 36 (c) 6 (d) 2
  14. 14.What is the units digit of 3^19? (a) 9 (b) 3 (c) 7 (d) 1
  15. 15.Which fraction is greater: 1/9 or 1/3? (a) 1/3 (b) They are equal (c) 1/9
  16. 16.If 2x − 5 = 9, what is x? (a) 2 (b) 8 (c) 7 (d) 14
  17. 17.What is the average of 34, 29, 15, 39, 21 and 42? (a) 29 (b) 30 (c) 31 (d) 36
  18. 18.Every pair follows the same rule: 3 : 11, 4 : 12, 5 : 13. What is 7 : ? (a) 15 (b) 17 (c) 16 (d) 14
  19. 19.If 6 pens cost ₹102, how much do 10 pens cost? (a) ₹1020 (b) ₹170 (c) ₹106 (d) ₹187
  20. 20.What is 2/3 of 9? (a) 9 (b) 7 (c) 3 (d) 6
  21. 21.What is the simple interest on ₹5000 at 4% per year for 5 years? (a) ₹1200 (b) ₹200 (c) ₹1000 (d) ₹6000
  22. 22.What is the smallest number you must add to 363 to make it divisible by 5? (a) 3 (b) 1 (c) 4 (d) 2
  23. 23.What is the simple interest on ₹8000 at 4% per year for 3 years? (a) ₹960 (b) ₹320 (c) ₹1280 (d) ₹8960
  24. 24.9.32 + 4.1 = ? (a) 13.52 (b) 13.42 (c) 13.32 (d) 9.73
  25. 25.Today is Monday. What day of the week will it be after 43 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  26. 26.What is 8/9 of 90? (a) 90 (b) 81 (c) 10 (d) 80
  27. 27.The simple interest on ₹10000 for 2 years is ₹2000. What is the rate per year? (a) 9% (b) 11% (c) 10% (d) 20%
  28. 28.A bag marked ₹1280 is sold at a 30% discount. What is its selling price? (a) ₹384 (b) ₹896 (c) ₹1664 (d) ₹1250
  29. 29.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 3 cm (c) 5 cm (d) 4 cm
  30. 30.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹1715 (b) ₹435 (c) ₹1305 (d) ₹2175
  31. 31.If x/6 + 3 = 14, what is x? (a) 11 (b) 81 (c) 102 (d) 66
  32. 32.Which is the greatest: 0.461, 0.5, 0.039, 0.54? (a) 0.461 (b) 0.5 (c) 0.039 (d) 0.54
  33. 33.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 15% (b) 5% (c) 64% (d) 10%
  34. 34.Which is the smallest: 0.717, 0.8, 0.045, 0.83? (a) 0.717 (b) 0.8 (c) 0.045 (d) 0.83
  35. 35.Which is the greatest: 0.521, 0.6, 0.071, 0.64? (a) 0.521 (b) 0.6 (c) 0.071 (d) 0.64
  36. 36.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 180 (b) 90 (c) 540 (d) 48
  37. 37.₹252 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹21 (b) ₹105 (c) ₹126 (d) ₹147
  38. 38.In how many years will ₹2500 earn ₹225 simple interest at 3% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
  39. 39.Today is Tuesday. What day of the week will it be after 70 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  40. 40.If 8 mangoes cost ₹176, how much do 7 mangoes cost? (a) ₹176 (b) ₹1232 (c) ₹154 (d) ₹175

Answer key

  1. 46 cm
  2. 3036
  3. 87
  4. 48
  5. 56
  6. Thursday
  7. 22
  8. 5456
  9. 80
  10. 9
  11. 3.69
  12. 3
  13. 6
  14. 7
  15. 1/3
  16. 7
  17. 30
  18. 15
  19. ₹170
  20. 6
  21. ₹1000
  22. 2
  23. ₹960
  24. 13.42
  25. Tuesday
  26. 80
  27. 10%
  28. ₹896
  29. 2 cm
  30. ₹1305
  31. 66
  32. 0.54
  33. 10%
  34. 0.045
  35. 0.64
  36. 90
  37. ₹147
  38. 3 years
  39. Tuesday
  40. ₹154

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