← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 830 · 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 all the whole numbers from 33 to 69? (a) 18 (b) 51 (c) 36 (d) 52
  2. 2.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 21 (b) 90 (c) 30 (d) 60
  3. 3.A teacher has 35 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 14 (d) 35
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  5. 5.Which fraction is greater: 2/5 or 1/4? (a) 2/5 (b) 1/4 (c) They are equal
  6. 6.If 3 July is a Wednesday, what day of the week is 19 July? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  7. 7.Today is Thursday. What day of the week will it be after 22 days? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  8. 8.8.21 + 9.2 = ? (a) 9.13 (b) 17.41 (c) 17.31 (d) 17.51
  9. 9.What is 60% of 540? (a) 3240 (b) 216 (c) 648 (d) 324
  10. 10.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 1 day (d) 17 days
  11. 11.A shopkeeper buys a toy for ₹520 and sells it for ₹312. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  12. 12.What is the value of the digit 8 in 74.318? (a) 8 (b) 0.008 (c) 0.08 (d) 0.8
  13. 13.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 40 (b) 26 (c) 16 (d) 28
  14. 14.If 8x − 2 = 46, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  15. 15.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 30 min (c) 3 min (d) 189 min
  16. 16.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 16 (c) 23 (d) 8
  17. 17.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  18. 18.If 4 May is a Friday, what day of the week is 18 May? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  19. 19.If 14 May is a Wednesday, what day of the week is 29 May? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  20. 20.In how many years will ₹3500 earn ₹350 simple interest at 5% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
  21. 21.₹45 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹15 (b) ₹31 (c) ₹30 (d) ₹45
  22. 22.Which fraction is greater: 5/8 or 1/9? (a) They are equal (b) 1/9 (c) 5/8
  23. 23.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) 40 min (b) 28 min (c) 160 min (d) 4 min
  24. 24.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 12 (c) 24 (d) 13
  25. 25.What is 1/2 of 6? (a) 2 (b) 4 (c) 3 (d) 6
  26. 26.In how many years will ₹1000 earn ₹240 simple interest at 8% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
  27. 27.What is 75% of 840? (a) 6300 (b) 1260 (c) 210 (d) 630
  28. 28.The simple interest on ₹5000 for 3 years is ₹450. What is the rate per year? (a) 3% (b) 4% (c) 9% (d) 2%
  29. 29.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 70 (d) 350
  30. 30.Today is Sunday. What day of the week will it be after 60 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  31. 31.Which fraction is greater: 1/6 or 1/5? (a) They are equal (b) 1/6 (c) 1/5
  32. 32.7.07 + 2.1 = ? (a) 9.27 (b) 9.07 (c) 7.28 (d) 9.17
  33. 33.If 6 mangoes cost ₹18, how much do 12 mangoes cost? (a) ₹36 (b) ₹24 (c) ₹216 (d) ₹39
  34. 34.What is the units digit of 4^39? (a) 5 (b) 3 (c) 4 (d) 6
  35. 35.What is the value of the digit 4 in 31.854? (a) 0.4 (b) 0.004 (c) 0.04 (d) 4
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  37. 37.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 38% (b) 6% (c) 5% (d) 10%
  38. 38.What is the average of 93, 76, 84 and 63? (a) 80 (b) 81 (c) 78 (d) 79
  39. 39.Which fraction is greater: 7/9 or 1/3? (a) 7/9 (b) 1/3 (c) They are equal
  40. 40.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 16 (b) 38 (c) 24 (d) 46

Answer key

  1. 51
  2. 30
  3. 7
  4. 225 sq cm
  5. 2/5
  6. Friday
  7. Friday
  8. 17.41
  9. 324
  10. 16 days
  11. 40%
  12. 0.008
  13. 40
  14. 6
  15. 63 min
  16. 23
  17. 30%
  18. Friday
  19. Thursday
  20. 2 years
  21. ₹30
  22. 5/8
  23. 40 min
  24. 12
  25. 3
  26. 3 years
  27. 630
  28. 3%
  29. 70
  30. Thursday
  31. 1/5
  32. 9.17
  33. ₹36
  34. 4
  35. 0.004
  36. 196 sq cm
  37. 5%
  38. 79
  39. 7/9
  40. 38

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad