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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 795 · 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 1/2 of 22? (a) 11 (b) 22 (c) 10 (d) 12
  2. 2.If 8x + 9 = 121, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  3. 3.What is the value of the digit 5 in 56.871? (a) 0.5 (b) 5 (c) 0.05 (d) 50
  4. 4.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 50 (b) 40 (c) 78 (d) 12
  5. 5.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 3 days (c) 4 days (d) 5 days
  6. 6.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
  7. 7.₹136 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹17 (b) ₹68 (c) ₹85 (d) ₹51
  8. 8.Every pair follows the same rule: 3 : 6, 4 : 9, 6 : 15. What is 7 : ? (a) 14 (b) 10 (c) 19 (d) 18
  9. 9.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 160 min (c) 40 min (d) 4 min
  10. 10.₹507 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹312 (b) ₹351 (c) ₹195 (d) ₹39
  11. 11.In how many years will ₹3500 earn ₹420 simple interest at 3% per year? (a) 5 years (b) 8 years (c) 4 years (d) 3 years
  12. 12.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 3 cm (c) 6 cm (d) 4 cm
  13. 13.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 9 days (c) 13 days (d) 23 days
  14. 14.₹4000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹1320 (b) ₹5760 (c) ₹5320 (d) ₹4440
  15. 15.2/5 + 3/6 = ? (a) 5/11 (b) 14/15 (c) 9/10 (d) 13/15
  16. 16.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹1976 (b) ₹1490 (c) ₹1064 (d) ₹456
  17. 17.Which fraction is greater: 3/4 or 4/9? (a) 3/4 (b) 4/9 (c) They are equal
  18. 18.What is the simple interest on ₹2000 at 6% per year for 2 years? (a) ₹360 (b) ₹2240 (c) ₹120 (d) ₹240
  19. 19.7.12 + 4.9 = ? (a) 7.61 (b) 11.92 (c) 12.12 (d) 12.02
  20. 20.Every pair follows the same rule: 3 : 15, 7 : 35, 8 : 40. What is 2 : ? (a) 9 (b) 11 (c) 10 (d) 14
  21. 21.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 4 : ? (a) 64 (b) 65 (c) 4 (d) 90
  22. 22.Which is the greatest: 0.097, 0.8, 0.786, 0.84? (a) 0.097 (b) 0.8 (c) 0.786 (d) 0.84
  23. 23.The simple interest on ₹1500 for 3 years is ₹180. What is the rate per year? (a) 3% (b) 5% (c) 4% (d) 12%
  24. 24.9.33 + 2.3 = ? (a) 9.56 (b) 11.53 (c) 11.63 (d) 11.73
  25. 25.The simple interest on ₹3000 for 3 years is ₹540. What is the rate per year? (a) 18% (b) 7% (c) 6% (d) 5%
  26. 26.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  27. 27.Which of these numbers is divisible by 9? (a) 5222 (b) 5233 (c) 5212 (d) 5220
  28. 28.A teacher has 35 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 35 (c) 1 (d) 5
  29. 29.₹588 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹245 (b) ₹49 (c) ₹294 (d) ₹343
  30. 30.If x/2 + 15 = 24, what is x? (a) 9 (b) 33 (c) 78 (d) 18
  31. 31.What is 1/2 of 16? (a) 8 (b) 9 (c) 16 (d) 7
  32. 32.What is 5% of 180? (a) 90 (b) 18 (c) 9 (d) 171
  33. 33.If 7x + 10 = 3x + 14, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  34. 34.If 5x + 18 = 78, what is x? (a) 60 (b) 12 (c) 13 (d) 11
  35. 35.Which fraction is greater: 2/3 or 10/11? (a) 10/11 (b) They are equal (c) 2/3
  36. 36.If 9 May is a Monday, what day of the week is 17 May? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  37. 37.₹55 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹40 (b) ₹15 (c) ₹5 (d) ₹45
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  39. 39.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 20 (c) 35 (d) 34
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm

Answer key

  1. 11
  2. 14
  3. 50
  4. 50
  5. 5 days
  6. 54 sq cm
  7. ₹85
  8. 18
  9. 40 min
  10. ₹312
  11. 4 years
  12. 3 cm
  13. 22 days
  14. ₹5320
  15. 9/10
  16. ₹1064
  17. 3/4
  18. ₹240
  19. 12.02
  20. 10
  21. 64
  22. 0.84
  23. 4%
  24. 11.63
  25. 6%
  26. 144 sq cm
  27. 5220
  28. 5
  29. ₹343
  30. 18
  31. 8
  32. 9
  33. 1
  34. 12
  35. 10/11
  36. Tuesday
  37. ₹40
  38. 81 sq cm
  39. 35
  40. 121 sq cm

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