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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 614 · 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.Every pair follows the same rule: 4 : 16, 8 : 64, 9 : 81. What is 6 : ? (a) 30 (b) 24 (c) 36 (d) 18
  2. 2.What is the simple interest on ₹4500 at 7% per year for 4 years? (a) ₹5760 (b) ₹1575 (c) ₹315 (d) ₹1260
  3. 3.1.42 + 9.9 = ? (a) 11.32 (b) 11.42 (c) 11.22 (d) 2.41
  4. 4.Which of these numbers is divisible by 6? (a) 3598 (b) 3590 (c) 3594 (d) 3604
  5. 5.If x/6 + 7 = 14, what is x? (a) 42 (b) 126 (c) 7 (d) 77
  6. 6.Which fraction is greater: 1/4 or 1/5? (a) 1/5 (b) They are equal (c) 1/4
  7. 7.If 5x + 6 = x + 22, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  8. 8.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 70 (b) 140 (c) 45 (d) 350
  9. 9.What is the value of the digit 1 in 41.283? (a) 0.01 (b) 1 (c) 10 (d) 0.1
  10. 10.Every pair follows the same rule: 4 : 13, 6 : 33, 7 : 46. What is 8 : ? (a) 59 (b) 17 (c) 62 (d) 61
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  12. 12.If 4x + 26 = 86, what is x? (a) 28 (b) 16 (c) 60 (d) 15
  13. 13.What is the average of 59, 67, 56 and 34? (a) 72 (b) 54 (c) 53 (d) 55
  14. 14.7.38 + 9.1 = ? (a) 16.48 (b) 8.29 (c) 16.38 (d) 16.58
  15. 15.If 19 June is a Saturday, what day of the week is 18 July? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  16. 16.Which fraction is greater: 2/11 or 4/5? (a) 2/11 (b) They are equal (c) 4/5
  17. 17.What is the smallest number you must add to 249 to make it divisible by 11? (a) 7 (b) 3 (c) 4 (d) 5
  18. 18.If 22 October is a Tuesday, what day of the week is 2 November? (a) Sunday (b) Friday (c) Saturday (d) Monday
  19. 19.What is the remainder when 292 is divided by 5? (a) 2 (b) 3 (c) 1 (d) 4
  20. 20.What is 5% of 160? (a) 152 (b) 80 (c) 16 (d) 8
  21. 21.What is 8/9 of 72? (a) 64 (b) 72 (c) 65 (d) 8
  22. 22.Every pair follows the same rule: 2 : 2, 6 : 14, 9 : 23. What is 5 : ? (a) 10 (b) 5 (c) 12 (d) 11
  23. 23.If 9x + 5 = 95, what is x? (a) 10 (b) 90 (c) 9 (d) 11
  24. 24.If 4 mangoes cost ₹84, how much do 12 mangoes cost? (a) ₹273 (b) ₹1008 (c) ₹92 (d) ₹252
  25. 25.If x/4 + 10 = 22, what is x? (a) 128 (b) 78 (c) 48 (d) 12
  26. 26.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) 42 min (b) 27 min (c) 126 min (d) 3 min
  27. 27.₹182 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹65 (b) ₹13 (c) ₹91 (d) ₹117
  28. 28.If 7x + 17 = 66, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  29. 29.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 60 sq cm (d) 34 sq cm
  30. 30.Today is Saturday. What day of the week will it be after 84 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
  31. 31.What is the remainder when 263 is divided by 9? (a) 2 (b) 7 (c) 3 (d) 1
  32. 32.Which is the greatest: 0.5, 0.56, 0.021, 0.483? (a) 0.5 (b) 0.56 (c) 0.021 (d) 0.483
  33. 33.If 5 mangoes cost ₹105, how much do 7 mangoes cost? (a) ₹147 (b) ₹107 (c) ₹168 (d) ₹735
  34. 34.A teacher has 50 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 5 (c) 10 (d) 50
  35. 35.What is the units digit of 8^46? (a) 8 (b) 4 (c) 2 (d) 6
  36. 36.5 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 15 days (d) 13 days
  37. 37.Which fraction is greater: 3/5 or 1/3? (a) They are equal (b) 1/3 (c) 3/5
  38. 38.What is 2/3 of 18? (a) 6 (b) 12 (c) 13 (d) 18
  39. 39.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 43 days (b) 42 days (c) 20 days (d) 8 days
  40. 40.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 91 (c) 56 (d) 92

Answer key

  1. 36
  2. ₹1260
  3. 11.32
  4. 3594
  5. 42
  6. 1/4
  7. 4
  8. 70
  9. 1
  10. 61
  11. 144 sq cm
  12. 15
  13. 54
  14. 16.48
  15. Sunday
  16. 4/5
  17. 4
  18. Saturday
  19. 2
  20. 8
  21. 64
  22. 11
  23. 10
  24. ₹252
  25. 48
  26. 42 min
  27. ₹117
  28. 7
  29. 60 sq cm
  30. Saturday
  31. 2
  32. 0.56
  33. ₹147
  34. 10
  35. 4
  36. 15 days
  37. 3/5
  38. 12
  39. 42 days
  40. 91

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