← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 262 · 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: 2 : 4, 6 : 36, 8 : 64. What is 7 : ? (a) 49 (b) 14 (c) 50 (d) 9
  2. 2.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 9 days (c) 10 days (d) 8 days
  3. 3.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 36 cm (d) 18 cm
  4. 4.If 5x + 11 = 3x + 31, what is x? (a) 21 (b) 11 (c) 12 (d) 10
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 15% (b) 60% (c) 25% (d) 20%
  6. 6.What is 5% of 560? (a) 56 (b) 28 (c) 532 (d) 280
  7. 7.Which is the smallest: 0.368, 0.45, 0.053, 0.4? (a) 0.368 (b) 0.45 (c) 0.053 (d) 0.4
  8. 8.What is the smallest number you must add to 67 to make it divisible by 5? (a) 1 (b) 4 (c) 2 (d) 3
  9. 9.In how many years will ₹8500 earn ₹765 simple interest at 3% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
  10. 10.What is the value of the digit 7 in 47.623? (a) 0.07 (b) 0.7 (c) 70 (d) 7
  11. 11.If 8x + 15 = 7x + 20, what is x? (a) 35 (b) 5 (c) 6 (d) 7
  12. 12.What is the smallest number you must add to 132 to make it divisible by 5? (a) 2 (b) 1 (c) 3 (d) 4
  13. 13.What is the remainder when 214 is divided by 11? (a) 5 (b) 4 (c) 6 (d) 7
  14. 14.If x/5 + 9 = 11, what is x? (a) 100 (b) 10 (c) 46 (d) 2
  15. 15.3/4 + 2/8 = ? (a) 9/8 (b) 1 (c) 5/12 (d) 7/8
  16. 16.What is 20% of 380? (a) 760 (b) 76 (c) 304 (d) 152
  17. 17.If 6 October is a Tuesday, what day of the week is 19 October? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  18. 18.What is the remainder when 127 is divided by 3? (a) 1 (b) 2 (c) 0
  19. 19.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 58 (c) 52 (d) 100
  20. 20.What is the remainder when 420 is divided by 9? (a) 7 (b) 6 (c) 5 (d) 3
  21. 21.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm
  22. 22.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 108 min (c) 36 min (d) 21 min
  23. 23.If 9 notebooks cost ₹45, how much do 7 notebooks cost? (a) ₹315 (b) ₹43 (c) ₹35 (d) ₹40
  24. 24.₹136 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹17 (b) ₹85 (c) ₹51 (d) ₹68
  25. 25.What is the units digit of 7^60? (a) 7 (b) 3 (c) 1 (d) 9
  26. 26.What is the smallest number you must add to 57 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  27. 27.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 4 cm (c) 36 cm (d) 8 cm
  28. 28.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 143 cm (d) 12 cm
  29. 29.A bag marked ₹1400 is sold at a 10% discount. What is its selling price? (a) ₹1540 (b) ₹1390 (c) ₹140 (d) ₹1260
  30. 30.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 70 (b) 105 (c) 49 (d) 42
  31. 31.If 3x + 23 = 53, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  32. 32.What is the average of all the whole numbers from 11 to 47? (a) 30 (b) 36 (c) 29 (d) 18
  33. 33.2/6 + 2/3 = ? (a) 7/6 (b) 4/9 (c) 5/6 (d) 1
  34. 34.What is the units digit of 3^38? (a) 7 (b) 9 (c) 3 (d) 1
  35. 35.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  36. 36.If 5 May is a Friday, what day of the week is 16 May? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  37. 37.2.85 + 1.7 = ? (a) 3.02 (b) 4.65 (c) 4.45 (d) 4.55
  38. 38.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 56 (c) 57 (d) 112
  39. 39.Which of these numbers is divisible by 3? (a) 1210 (b) 1216 (c) 1213 (d) 1212
  40. 40.A teacher has 20 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 2 (c) 4 (d) 20

Answer key

  1. 49
  2. 9 days
  3. 36 cm
  4. 10
  5. 20%
  6. 28
  7. 0.053
  8. 3
  9. 3 years
  10. 7
  11. 5
  12. 3
  13. 5
  14. 10
  15. 1
  16. 76
  17. Monday
  18. 1
  19. 100
  20. 6
  21. 60 cm
  22. 36 min
  23. ₹35
  24. ₹85
  25. 1
  26. 3
  27. 4 cm
  28. 12 cm
  29. ₹1260
  30. 105
  31. 10
  32. 29
  33. 1
  34. 9
  35. 144 sq cm
  36. Tuesday
  37. 4.55
  38. 56
  39. 1212
  40. 4

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