← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 939 · 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.In how many years will ₹4500 earn ₹1800 simple interest at 10% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years
  2. 2.What is the average of 76, 71, 70 and 91? (a) 76 (b) 78 (c) 79 (d) 77
  3. 3.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 6 : ? (a) 6 (b) 84 (c) 217 (d) 216
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  5. 5.The simple interest on ₹5000 for 2 years is ₹700. What is the rate per year? (a) 6% (b) 8% (c) 7% (d) 14%
  6. 6.If 10 August is a Monday, what day of the week is 19 September? (a) Sunday (b) Monday (c) Friday (d) Saturday
  7. 7.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 5 : ? (a) 10 (b) 27 (c) 25 (d) 7
  8. 8.If 2x − 10 = 2, what is x? (a) 12 (b) 6 (c) 7 (d) 5
  9. 9.8.19 + 8.1 = ? (a) 16.19 (b) 16.39 (c) 16.29 (d) 9
  10. 10.Every pair follows the same rule: 2 : 1, 3 : 6, 6 : 21. What is 9 : ? (a) 36 (b) 35 (c) 37 (d) 38
  11. 11.Every pair follows the same rule: 2 : 9, 6 : 21, 8 : 27. What is 9 : ? (a) 30 (b) 31 (c) 16 (d) 29
  12. 12.If 15 June is a Monday, what day of the week is 16 July? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  13. 13.Which is the greatest: 0.3, 0.071, 0.35, 0.213? (a) 0.3 (b) 0.071 (c) 0.35 (d) 0.213
  14. 14.8.81 + 3.3 = ? (a) 12.01 (b) 12.21 (c) 12.11 (d) 9.14
  15. 15.If 2 pens cost ₹38, how much do 4 pens cost? (a) ₹76 (b) ₹40 (c) ₹152 (d) ₹95
  16. 16.3/4 + 1/8 = ? (a) 3/4 (b) 1 (c) 1/3 (d) 7/8
  17. 17.If 8 kites cost ₹80, how much do 4 kites cost? (a) ₹320 (b) ₹50 (c) ₹76 (d) ₹40
  18. 18.If 7 kites cost ₹77, how much do 5 kites cost? (a) ₹385 (b) ₹66 (c) ₹55 (d) ₹75
  19. 19.A teacher has 9 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 1 (c) 9 (d) 15
  20. 20.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 40 cm (d) 6 cm
  21. 21.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 4 : ? (a) 6 (b) 8 (c) 20 (d) 16
  22. 22.₹185 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹37 (b) ₹185 (c) ₹148 (d) ₹149
  23. 23.Every pair follows the same rule: 3 : 5, 4 : 9, 5 : 13. What is 9 : ? (a) 28 (b) 11 (c) 30 (d) 29
  24. 24.What is the smallest number you must add to 188 to make it divisible by 8? (a) 6 (b) 5 (c) 4 (d) 3
  25. 25.The simple interest on ₹4000 for 5 years is ₹1600. What is the rate per year? (a) 9% (b) 8% (c) 40% (d) 7%
  26. 26.Every pair follows the same rule: 4 : 25, 6 : 33, 7 : 37. What is 9 : ? (a) 30 (b) 45 (c) 44 (d) 46
  27. 27.If 6 pens cost ₹150, how much do 9 pens cost? (a) ₹153 (b) ₹225 (c) ₹1350 (d) ₹250
  28. 28.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 19 days (c) 10 days (d) 18 days
  29. 29.What is the simple interest on ₹8000 at 11% per year for 4 years? (a) ₹3520 (b) ₹11520 (c) ₹880 (d) ₹4400
  30. 30.What is the simple interest on ₹10000 at 10% per year for 2 years? (a) ₹3000 (b) ₹1000 (c) ₹12000 (d) ₹2000
  31. 31.What is 1/4 of 16? (a) 5 (b) 8 (c) 12 (d) 4
  32. 32.If 19 July is a Thursday, what day of the week is 4 August? (a) Saturday (b) Monday (c) Friday (d) Sunday
  33. 33.If 3 December is a Monday, what day of the week is 11 December? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  34. 34.If 28 September is a Sunday, what day of the week is 16 October? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  35. 35.₹9000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹10080 (b) ₹13320 (c) ₹4320 (d) ₹14400
  36. 36.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 135 sq cm (d) 120 sq cm
  37. 37.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 32% (b) 25% (c) 20% (d) 15%
  38. 38.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 30 (c) 38 (d) 31
  39. 39.A teacher has 40 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 32 (c) 8 (d) 40
  40. 40.What is the value of the digit 1 in 61.289? (a) 0.1 (b) 10 (c) 0.01 (d) 1

Answer key

  1. 4 years
  2. 77
  3. 216
  4. 25 sq cm
  5. 7%
  6. Saturday
  7. 25
  8. 6
  9. 16.29
  10. 36
  11. 30
  12. Thursday
  13. 0.35
  14. 12.11
  15. ₹76
  16. 7/8
  17. ₹40
  18. ₹55
  19. 3
  20. 3 cm
  21. 16
  22. ₹148
  23. 29
  24. 4
  25. 8%
  26. 45
  27. ₹225
  28. 18 days
  29. ₹3520
  30. ₹2000
  31. 4
  32. Saturday
  33. Tuesday
  34. Thursday
  35. ₹13320
  36. 120 sq cm
  37. 20%
  38. 30
  39. 8
  40. 1

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