← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 472 · 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.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 40 min (c) 336 min (d) 84 min
  2. 2.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 45 min (c) 135 min (d) 24 min
  3. 3.A bag marked ₹960 is sold at a 15% discount. What is its selling price? (a) ₹945 (b) ₹144 (c) ₹1104 (d) ₹816
  4. 4.If 6x + 24 = 114, what is x? (a) 90 (b) 15 (c) 23 (d) 16
  5. 5.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
  6. 6.₹624 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹48 (b) ₹384 (c) ₹312 (d) ₹240
  7. 7.In how many years will ₹8500 earn ₹2040 simple interest at 6% per year? (a) 4 years (b) 3 years (c) 5 years (d) 8 years
  8. 8.If 3 notebooks cost ₹18, how much do 2 notebooks cost? (a) ₹17 (b) ₹12 (c) ₹18 (d) ₹36
  9. 9.If 5 kites cost ₹100, how much do 9 kites cost? (a) ₹180 (b) ₹200 (c) ₹900 (d) ₹104
  10. 10.If 4 mangoes cost ₹72, how much do 6 mangoes cost? (a) ₹126 (b) ₹74 (c) ₹432 (d) ₹108
  11. 11.If 9x + 6 = 3x + 24, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  12. 12.What is 5% of 240? (a) 228 (b) 12 (c) 120 (d) 24
  13. 13.If 3x − 8 = 1, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  14. 14.If 12 March is a Monday, what day of the week is 26 March? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  15. 15.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 68 (c) 100 (d) 40
  16. 16.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 13 days (d) 25 days
  17. 17.What is the average of 7, 7, 7 and 67? (a) 23 (b) 21 (c) 22 (d) 24
  18. 18.A bag marked ₹840 is sold at a 20% discount. What is its selling price? (a) ₹1008 (b) ₹168 (c) ₹820 (d) ₹672
  19. 19.Today is Thursday. What day of the week will it be after 89 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  21. 21.Today is Monday. What day of the week will it be after 95 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  22. 22.A shopkeeper buys a toy for ₹620 and sells it for ₹496. What is his loss percent? (a) 21% (b) 20% (c) 25% (d) 15%
  23. 23.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 36 (b) 54 (c) 15 (d) 18
  24. 24.Which is the greatest: 0.7, 0.069, 0.71, 0.685? (a) 0.7 (b) 0.069 (c) 0.71 (d) 0.685
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  26. 26.What is the value of the digit 2 in 79.324? (a) 0.02 (b) 2 (c) 0.2 (d) 0.002
  27. 27.Which of these numbers is divisible by 9? (a) 6714 (b) 6725 (c) 6722 (d) 6712
  28. 28.Every pair follows the same rule: 3 : 6, 4 : 8, 7 : 14. What is 2 : ? (a) 4 (b) 5 (c) 3 (d) 6
  29. 29.What is the average of all the whole numbers from 47 to 79? (a) 32 (b) 16 (c) 64 (d) 63
  30. 30.In how many years will ₹4000 earn ₹720 simple interest at 6% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
  31. 31.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 36 sq cm (d) 60 sq cm
  32. 32.What is the smallest number you must add to 341 to make it divisible by 5? (a) 2 (b) 1 (c) 4 (d) 3
  33. 33.If x/5 + 15 = 27, what is x? (a) 210 (b) 60 (c) 12 (d) 120
  34. 34.Which fraction is greater: 1/11 or 4/5? (a) 1/11 (b) They are equal (c) 4/5
  35. 35.In how many years will ₹10000 earn ₹600 simple interest at 3% per year? (a) 4 years (b) 1 year (c) 2 years (d) 3 years
  36. 36.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 34 (b) 16 (c) 21 (d) 29
  37. 37.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  38. 38.Which of these numbers is divisible by 6? (a) 595 (b) 603 (c) 593 (d) 594
  39. 39.Every pair follows the same rule: 4 : 8, 5 : 10, 8 : 16. What is 6 : ? (a) 10 (b) 12 (c) 13 (d) 11
  40. 40.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm

Answer key

  1. 84 min
  2. 45 min
  3. ₹816
  4. 15
  5. 68 sq cm
  6. ₹384
  7. 4 years
  8. ₹12
  9. ₹180
  10. ₹108
  11. 3
  12. 12
  13. 3
  14. Monday
  15. 100
  16. 25 days
  17. 22
  18. ₹672
  19. Tuesday
  20. 36 sq cm
  21. Friday
  22. 20%
  23. 18
  24. 0.71
  25. 121 sq cm
  26. 0.02
  27. 6714
  28. 4
  29. 63
  30. 3 years
  31. 45 sq cm
  32. 4
  33. 60
  34. 4/5
  35. 2 years
  36. 34
  37. 144 sq cm
  38. 594
  39. 12
  40. 22 cm

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