← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 904 · 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.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 3 (b) 26 (c) 27 (d) 28
  2. 2.What is the smallest number you must add to 314 to make it divisible by 5? (a) 4 (b) 1 (c) 2 (d) 3
  3. 3.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 11 cm (d) 22 cm
  4. 4.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 8 (b) 7 (c) 2 (d) 9
  5. 5.If 2 notebooks cost ₹18, how much do 3 notebooks cost? (a) ₹27 (b) ₹19 (c) ₹36 (d) ₹54
  6. 6.3.71 + 3.6 = ? (a) 4.07 (b) 7.31 (c) 7.41 (d) 7.21
  7. 7.What is 10% of 360? (a) 72 (b) 360 (c) 324 (d) 36
  8. 8.If 7 July is a Sunday, what day of the week is 15 July? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
  9. 9.What is the simple interest on ₹2000 at 4% per year for 3 years? (a) ₹320 (b) ₹80 (c) ₹240 (d) ₹2240
  10. 10.What is the units digit of 9^53? (a) 1 (b) 7 (c) 8 (d) 9
  11. 11.Every pair follows the same rule: 2 : 1, 5 : 13, 9 : 29. What is 8 : ? (a) 25 (b) 26 (c) 27 (d) 24
  12. 12.A bag marked ₹1660 is sold at a 30% discount. What is its selling price? (a) ₹1630 (b) ₹498 (c) ₹2158 (d) ₹1162
  13. 13.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 120 (b) 240 (c) 54 (d) 720
  14. 14.If 2 May is a Saturday, what day of the week is 13 May? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  15. 15.Every pair follows the same rule: 2 : 6, 8 : 24, 9 : 27. What is 3 : ? (a) 7 (b) 10 (c) 8 (d) 9
  16. 16.What is the smallest number you must add to 398 to make it divisible by 8? (a) 6 (b) 3 (c) 1 (d) 2
  17. 17.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 20 cm (d) 10 cm
  18. 18.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 55 (b) 300 (c) 750 (d) 150
  19. 19.If 7 March is a Monday, what day of the week is 21 March? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  20. 20.₹374 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹34 (b) ₹187 (c) ₹204 (d) ₹170
  21. 21.If 4x + 4 = 24, what is x? (a) 20 (b) 7 (c) 5 (d) 6
  22. 22.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 57 (b) 39 (c) 30 (d) 33
  23. 23.What is 5/7 of 63? (a) 9 (b) 54 (c) 45 (d) 18
  24. 24.7 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 7 days (d) 6 days
  25. 25.The simple interest on ₹7000 for 5 years is ₹2450. What is the rate per year? (a) 7% (b) 8% (c) 35% (d) 6%
  26. 26.If 19 April is a Sunday, what day of the week is 2 May? (a) Sunday (b) Saturday (c) Monday (d) Friday
  27. 27.If 4x + 1 = 3x + 3, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  28. 28.What is the value of the digit 4 in 94.623? (a) 0.04 (b) 40 (c) 0.4 (d) 4
  29. 29.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 180 cm
  30. 30.3/4 + 1/3 = ? (a) 7/6 (b) 1 (c) 4/7 (d) 13/12
  31. 31.If 5x + 6 = 2x + 39, what is x? (a) 12 (b) 11 (c) 15 (d) 13
  32. 32.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 34 (c) 28 (d) 43
  33. 33.Two ribbons are 60 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 420 cm (b) 10 cm (c) 5 cm (d) 60 cm
  34. 34.Which of these numbers is divisible by 11? (a) 3185 (b) 3173 (c) 3179 (d) 3197
  35. 35.What is the simple interest on ₹9000 at 3% per year for 4 years? (a) ₹270 (b) ₹10080 (c) ₹1080 (d) ₹1350
  36. 36.Which of these numbers is divisible by 3? (a) 494 (b) 496 (c) 492 (d) 490
  37. 37.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 48 sq cm
  38. 38.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 45 cm (d) 4 cm
  39. 39.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
  40. 40.Every pair follows the same rule: 4 : 14, 5 : 23, 9 : 79. What is 6 : ? (a) 35 (b) 37 (c) 34 (d) 16

Answer key

  1. 27
  2. 1
  3. 11 cm
  4. 8
  5. ₹27
  6. 7.31
  7. 36
  8. Monday
  9. ₹240
  10. 9
  11. 25
  12. ₹1162
  13. 120
  14. Wednesday
  15. 9
  16. 2
  17. 20 cm
  18. 150
  19. Monday
  20. ₹204
  21. 5
  22. 57
  23. 45
  24. 7 days
  25. 7%
  26. Saturday
  27. 2
  28. 4
  29. 11 cm
  30. 13/12
  31. 11
  32. 43
  33. 10 cm
  34. 3179
  35. ₹1080
  36. 492
  37. 40 sq cm
  38. 4 cm
  39. 56 sq cm
  40. 34

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