← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 460 · 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 shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  2. 2.Every pair follows the same rule: 2 : 6, 4 : 18, 7 : 51. What is 5 : ? (a) 29 (b) 9 (c) 15 (d) 27
  3. 3.Which fraction is greater: 2/3 or 1/12? (a) 1/12 (b) 2/3 (c) They are equal
  4. 4.If 3 pens cost ₹63, how much do 2 pens cost? (a) ₹126 (b) ₹62 (c) ₹42 (d) ₹63
  5. 5.If 8x + 27 = 99, what is x? (a) 72 (b) 10 (c) 9 (d) 8
  6. 6.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 38 (c) 18 (d) 4
  7. 7.What is 5/6 of 48? (a) 40 (b) 48 (c) 41 (d) 8
  8. 8.What is the value of the digit 6 in 12.346? (a) 0.06 (b) 0.006 (c) 0.6 (d) 6
  9. 9.If 11 March is a Tuesday, what day of the week is 21 March? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  10. 10.What is the simple interest on ₹2500 at 4% per year for 3 years? (a) ₹2800 (b) ₹400 (c) ₹300 (d) ₹100
  11. 11.Today is Sunday. What day of the week will it be after 13 days? (a) Friday (b) Monday (c) Saturday (d) Sunday
  12. 12.A shopkeeper buys a toy for ₹880 and sells it for ₹616. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
  13. 13.Which of these numbers is divisible by 6? (a) 1025 (b) 1027 (c) 1026 (d) 1035
  14. 14.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 60 min (c) 2 min (d) 22 min
  15. 15.The simple interest on ₹8500 for 3 years is ₹2295. What is the rate per year? (a) 27% (b) 10% (c) 9% (d) 8%
  16. 16.If 6 pens cost ₹78, how much do 4 pens cost? (a) ₹312 (b) ₹76 (c) ₹65 (d) ₹52
  17. 17.Which is the greatest: 0.493, 0.55, 0.083, 0.5? (a) 0.493 (b) 0.55 (c) 0.083 (d) 0.5
  18. 18.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 5 days (c) 9 days (d) 45 days
  19. 19.Today is Wednesday. What day of the week will it be after 11 days? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  20. 20.In how many years will ₹7000 earn ₹1400 simple interest at 4% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
  21. 21.1/3 + 1/4 = ? (a) 1/2 (b) 2/3 (c) 2/7 (d) 7/12
  22. 22.Every pair follows the same rule: 2 : 16, 3 : 24, 4 : 32. What is 8 : ? (a) 63 (b) 65 (c) 22 (d) 64
  23. 23.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 24 cm
  24. 24.If 3x + 20 = 2x + 22, what is x? (a) 3 (b) 4 (c) 42 (d) 2
  25. 25.2/7 + 2/3 = ? (a) 19/21 (b) 2/5 (c) 1 (d) 20/21
  26. 26.If 28 April is a Tuesday, what day of the week is 7 May? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  27. 27.Two ribbons are 8 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 8 cm (c) 6 cm (d) 2 cm
  28. 28.What is the value of the digit 8 in 78.356? (a) 0.08 (b) 0.8 (c) 8 (d) 80
  29. 29.A teacher has 16 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 8 (c) 4 (d) 16
  30. 30.Every pair follows the same rule: 2 : 15, 3 : 20, 9 : 50. What is 4 : ? (a) 17 (b) 26 (c) 25 (d) 24
  31. 31.What is the simple interest on ₹7000 at 12% per year for 5 years? (a) ₹11200 (b) ₹4200 (c) ₹5040 (d) ₹840
  32. 32.4/5 + 2/4 = ? (a) 5/4 (b) 27/20 (c) 13/10 (d) 2/3
  33. 33.If 12 May is a Monday, what day of the week is 12 June? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  34. 34.What is the remainder when 631 is divided by 12? (a) 6 (b) 8 (c) 5 (d) 7
  35. 35.Which fraction is greater: 2/5 or 1/8? (a) 1/8 (b) They are equal (c) 2/5
  36. 36.₹533 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹41 (b) ₹328 (c) ₹369 (d) ₹205
  37. 37.Which fraction is greater: 3/10 or 7/12? (a) 3/10 (b) They are equal (c) 7/12
  38. 38.A teacher has 66 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 462 (c) 11 (d) 66
  39. 39.What is 25% of 800? (a) 600 (b) 2000 (c) 200 (d) 400
  40. 40.Which is the greatest: 0.734, 0.8, 0.88, 0.067? (a) 0.734 (b) 0.8 (c) 0.88 (d) 0.067

Answer key

  1. 40%
  2. 27
  3. 2/3
  4. ₹42
  5. 9
  6. 4
  7. 40
  8. 0.006
  9. Friday
  10. ₹300
  11. Saturday
  12. 30%
  13. 1026
  14. 60 min
  15. 9%
  16. ₹52
  17. 0.55
  18. 5 days
  19. Sunday
  20. 5 years
  21. 7/12
  22. 64
  23. 3 cm
  24. 2
  25. 20/21
  26. Thursday
  27. 2 cm
  28. 8
  29. 8
  30. 25
  31. ₹4200
  32. 13/10
  33. Thursday
  34. 7
  35. 2/5
  36. ₹328
  37. 7/12
  38. 11
  39. 200
  40. 0.88

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