← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 554 · 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 smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 100 (b) 50 (c) 35 (d) 250
  2. 2.If 3 pens cost ₹60, how much do 5 pens cost? (a) ₹62 (b) ₹300 (c) ₹120 (d) ₹100
  3. 3.₹68 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹17 (b) ₹68 (c) ₹34 (d) ₹51
  4. 4.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 21% (b) 25% (c) 15% (d) 20%
  5. 5.Which of these numbers is divisible by 4? (a) 774 (b) 772 (c) 777 (d) 771
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 43% (b) 10% (c) 6% (d) 5%
  7. 7.What is the remainder when 105 is divided by 4? (a) 3 (b) 2 (c) 1 (d) 0
  8. 8.What is 5% of 420? (a) 210 (b) 21 (c) 42 (d) 399
  9. 9.A teacher has 48 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 48 (c) 8 (d) 336
  10. 10.In how many years will ₹6500 earn ₹3575 simple interest at 11% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years
  11. 11.What is 2/9 of 99? (a) 11 (b) 77 (c) 22 (d) 33
  12. 12.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 40% (b) 35% (c) 45% (d) 41%
  13. 13.If 7 mangoes cost ₹175, how much do 8 mangoes cost? (a) ₹176 (b) ₹225 (c) ₹200 (d) ₹1400
  14. 14.Every pair follows the same rule: 3 : 24, 4 : 29, 9 : 54. What is 5 : ? (a) 34 (b) 40 (c) 35 (d) 26
  15. 15.Today is Sunday. What day of the week will it be after 54 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  16. 16.What is 1/4 of 40? (a) 30 (b) 20 (c) 10 (d) 11
  17. 17.A bag marked ₹1040 is sold at a 30% discount. What is its selling price? (a) ₹312 (b) ₹1010 (c) ₹728 (d) ₹1352
  18. 18.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 69 (c) 37 (d) 57
  19. 19.Which fraction is greater: 2/3 or 5/11? (a) 5/11 (b) 2/3 (c) They are equal
  20. 20.1/2 + 2/4 = ? (a) 5/4 (b) 1/2 (c) 1 (d) 3/4
  21. 21.What is the value of the digit 3 in 69.513? (a) 3 (b) 0.3 (c) 0.03 (d) 0.003
  22. 22.If 6 mangoes cost ₹150, how much do 4 mangoes cost? (a) ₹148 (b) ₹100 (c) ₹600 (d) ₹125
  23. 23.What is 50% of 120? (a) 60 (b) 120 (c) 61 (d) 600
  24. 24.What is 3/4 of 16? (a) 13 (b) 16 (c) 12 (d) 4
  25. 25.If 3x + 2 = 2x + 7, what is x? (a) 6 (b) 9 (c) 1 (d) 5
  26. 26.If 7x + 5 = x + 71, what is x? (a) 10 (b) 11 (c) 13 (d) 12
  27. 27.Two ribbons are 6 cm and 8 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 2 cm (c) 1 cm (d) 6 cm
  28. 28.The simple interest on ₹8000 for 3 years is ₹2880. What is the rate per year? (a) 13% (b) 36% (c) 12% (d) 11%
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  30. 30.The simple interest on ₹8500 for 4 years is ₹3400. What is the rate per year? (a) 40% (b) 9% (c) 11% (d) 10%
  31. 31.8.62 + 8.5 = ? (a) 9.47 (b) 17.22 (c) 17.12 (d) 17.02
  32. 32.₹5500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹7700 (b) ₹8250 (c) ₹6050 (d) ₹2200
  33. 33.What is the units digit of 3^19? (a) 1 (b) 7 (c) 3 (d) 9
  34. 34.Which is the greatest: 0.3, 0.022, 0.267, 0.39? (a) 0.3 (b) 0.022 (c) 0.267 (d) 0.39
  35. 35.What is the average of all the whole numbers from 38 to 60? (a) 11 (b) 50 (c) 22 (d) 49
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  37. 37.What is 2/3 of 27? (a) 27 (b) 19 (c) 18 (d) 9
  38. 38.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 7 days (d) 8 days
  39. 39.If 21 October is a Friday, what day of the week is 12 November? (a) Friday (b) Monday (c) Sunday (d) Saturday
  40. 40.A teacher has 60 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 6 (c) 36 (d) 60

Answer key

  1. 50
  2. ₹100
  3. ₹51
  4. 20%
  5. 772
  6. 5%
  7. 1
  8. 21
  9. 8
  10. 5 years
  11. 22
  12. 40%
  13. ₹200
  14. 34
  15. Friday
  16. 10
  17. ₹728
  18. 57
  19. 2/3
  20. 1
  21. 0.003
  22. ₹100
  23. 60
  24. 12
  25. 5
  26. 11
  27. 2 cm
  28. 12%
  29. 121 sq cm
  30. 10%
  31. 17.12
  32. ₹7700
  33. 7
  34. 0.39
  35. 49
  36. 36 sq cm
  37. 18
  38. 8 days
  39. Saturday
  40. 12

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