← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 773 · 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.If 8 May is a Tuesday, what day of the week is 16 May? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  2. 2.₹209 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹19 (b) ₹57 (c) ₹171 (d) ₹152
  3. 3.Which of these numbers is divisible by 3? (a) 812 (b) 818 (c) 814 (d) 813
  4. 4.5/7 + 1/7 = ? (a) 6/7 (b) 3/7 (c) 1 (d) 5/7
  5. 5.If 9x + 2 = 56, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  6. 6.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
  7. 7.If 7x + 5 = 110, what is x? (a) 15 (b) 16 (c) 105 (d) 14
  8. 8.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 25% (b) 80% (c) 20% (d) 15%
  9. 9.₹6000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹720 (b) ₹6720 (c) ₹6240 (d) ₹6960
  10. 10.If 2x + 29 = 47, what is x? (a) 38 (b) 18 (c) 9 (d) 10
  11. 11.What is the units digit of 8^40? (a) 6 (b) 8 (c) 2 (d) 4
  12. 12.Which fraction is greater: 3/4 or 1/12? (a) 3/4 (b) They are equal (c) 1/12
  13. 13.Today is Thursday. What day of the week will it be after 32 days? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  14. 14.A teacher has 15 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 3 (c) 90 (d) 15
  15. 15.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 72 (b) 432 (c) 144 (d) 42
  16. 16.In how many years will ₹7000 earn ₹630 simple interest at 3% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
  17. 17.Two ribbons are 25 cm and 35 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) 25 cm (c) 10 cm (d) 5 cm
  18. 18.Which fraction is greater: 7/10 or 2/3? (a) 7/10 (b) They are equal (c) 2/3
  19. 19.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 12 sq cm (d) 24 sq cm
  20. 20.What is the value of the digit 8 in 86.142? (a) 0.08 (b) 0.8 (c) 8 (d) 80
  21. 21.If 7x − 20 = 36, what is x? (a) 56 (b) 7 (c) 9 (d) 8
  22. 22.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 84 (b) 43 (c) 42 (d) 20
  23. 23.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 2 cm (d) 3 cm
  24. 24.If x/2 + 10 = 17, what is x? (a) 24 (b) 54 (c) 14 (d) 7
  25. 25.4.91 + 5.3 = ? (a) 10.31 (b) 10.11 (c) 5.44 (d) 10.21
  26. 26.₹1000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹1160 (b) ₹120 (c) ₹1120 (d) ₹1040
  27. 27.Today is Wednesday. What day of the week will it be after 40 days? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
  28. 28.If 8x + 29 = 149, what is x? (a) 15 (b) 16 (c) 14 (d) 120
  29. 29.Which of these numbers is divisible by 9? (a) 1365 (b) 1371 (c) 1359 (d) 1352
  30. 30.The simple interest on ₹4500 for 4 years is ₹1800. What is the rate per year? (a) 40% (b) 10% (c) 11% (d) 9%
  31. 31.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 20 cm (c) 37 cm (d) 40 cm
  32. 32.Every pair follows the same rule: 3 : 6, 4 : 13, 6 : 33. What is 8 : ? (a) 61 (b) 16 (c) 53 (d) 11
  33. 33.3.81 + 2.8 = ? (a) 6.71 (b) 6.51 (c) 4.09 (d) 6.61
  34. 34.5 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 13 days (c) 11 days (d) 9 days
  35. 35.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  36. 36.If 13 September is a Tuesday, what day of the week is 3 October? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  37. 37.If 4 October is a Monday, what day of the week is 17 October? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  38. 38.What is the value of the digit 5 in 59.374? (a) 0.05 (b) 5 (c) 0.5 (d) 50
  39. 39.If 24 June is a Tuesday, what day of the week is 7 July? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm

Answer key

  1. Wednesday
  2. ₹152
  3. 813
  4. 6/7
  5. 6
  6. 144 sq cm
  7. 15
  8. 20%
  9. ₹6720
  10. 9
  11. 6
  12. 3/4
  13. Monday
  14. 3
  15. 72
  16. 3 years
  17. 5 cm
  18. 7/10
  19. 20 sq cm
  20. 80
  21. 8
  22. 42
  23. 2 cm
  24. 14
  25. 10.21
  26. ₹1120
  27. Monday
  28. 15
  29. 1359
  30. 10%
  31. 40 cm
  32. 61
  33. 6.61
  34. 10 days
  35. 20 cm
  36. Monday
  37. Sunday
  38. 50
  39. Monday
  40. 196 sq cm

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