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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 601 · 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: 3 : 9, 6 : 36, 8 : 64. What is 7 : ? (a) 50 (b) 21 (c) 13 (d) 49
  2. 2.What is the average of all the whole numbers from 8 to 16? (a) 13 (b) 4 (c) 12 (d) 8
  3. 3.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  4. 4.Every pair follows the same rule: 5 : 32, 6 : 43, 8 : 71. What is 2 : ? (a) 12 (b) 29 (c) 11 (d) 10
  5. 5.What is the average of all the whole numbers from 39 to 59? (a) 50 (b) 49 (c) 20 (d) 10
  6. 6.What is 30% of 620? (a) 186 (b) 1860 (c) 434 (d) 372
  7. 7.₹10000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹2200 (b) ₹12200 (c) ₹11100 (d) ₹13300
  8. 8.A bag marked ₹1200 is sold at a 30% discount. What is its selling price? (a) ₹840 (b) ₹360 (c) ₹1560 (d) ₹1170
  9. 9.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 140 sq cm (c) 48 sq cm (d) 154 sq cm
  10. 10.What is the simple interest on ₹3500 at 9% per year for 2 years? (a) ₹315 (b) ₹945 (c) ₹630 (d) ₹4130
  11. 11.What is 1/6 of 24? (a) 5 (b) 20 (c) 4 (d) 8
  12. 12.If 14 October is a Monday, what day of the week is 23 October? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  13. 13.What is the units digit of 7^20? (a) 3 (b) 1 (c) 9 (d) 7
  14. 14.What is the remainder when 379 is divided by 8? (a) 3 (b) 4 (c) 5 (d) 2
  15. 15.What is the simple interest on ₹6500 at 7% per year for 5 years? (a) ₹8775 (b) ₹2730 (c) ₹455 (d) ₹2275
  16. 16.Which is the smallest: 0.059, 0.111, 0.27, 0.2? (a) 0.059 (b) 0.111 (c) 0.27 (d) 0.2
  17. 17.Today is Friday. What day of the week will it be after 16 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  18. 18.What is 50% of 620? (a) 311 (b) 310 (c) 620 (d) 3100
  19. 19.Which of these numbers is divisible by 9? (a) 2866 (b) 2855 (c) 2853 (d) 2847
  20. 20.If x/6 + 12 = 15, what is x? (a) 162 (b) 3 (c) 18 (d) 78
  21. 21.What is 5/6 of 60? (a) 60 (b) 50 (c) 51 (d) 10
  22. 22.If 7x − 16 = 47, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  23. 23.If 2x − 5 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  24. 24.A bag marked ₹340 is sold at a 15% discount. What is its selling price? (a) ₹51 (b) ₹325 (c) ₹391 (d) ₹289
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  26. 26.What is the value of the digit 1 in 91.347? (a) 10 (b) 1 (c) 0.01 (d) 0.1
  27. 27.What is the average of 52, 36, 62, 59 and 41? (a) 51 (b) 49 (c) 52 (d) 50
  28. 28.Which of these numbers is divisible by 8? (a) 4174 (b) 4177 (c) 4186 (d) 4176
  29. 29.If 7 mangoes cost ₹112, how much do 11 mangoes cost? (a) ₹116 (b) ₹192 (c) ₹1232 (d) ₹176
  30. 30.If x/6 + 6 = 16, what is x? (a) 132 (b) 90 (c) 60 (d) 10
  31. 31.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 77 sq cm (c) 36 sq cm (d) 88 sq cm
  32. 32.₹3000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹3300 (b) ₹3150 (c) ₹300 (d) ₹3450
  33. 33.A bag marked ₹240 is sold at a 50% discount. What is its selling price? (a) ₹121 (b) ₹120 (c) ₹360 (d) ₹190
  34. 34.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 37 (b) 29 (c) 24 (d) 16
  35. 35.If 8 notebooks cost ₹64, how much do 4 notebooks cost? (a) ₹40 (b) ₹60 (c) ₹32 (d) ₹256
  36. 36.What is 7/8 of 72? (a) 72 (b) 63 (c) 64 (d) 9
  37. 37.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 24 cm (c) 8 cm (d) 5 cm
  38. 38.A shopkeeper buys a toy for ₹560 and sells it for ₹784. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  39. 39.If 4x + 8 = 36, what is x? (a) 28 (b) 8 (c) 7 (d) 11
  40. 40.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 7 days (c) 16 days (d) 15 days

Answer key

  1. 49
  2. 12
  3. 50%
  4. 11
  5. 49
  6. 186
  7. ₹12200
  8. ₹840
  9. 140 sq cm
  10. ₹630
  11. 4
  12. Wednesday
  13. 1
  14. 3
  15. ₹2275
  16. 0.059
  17. Sunday
  18. 310
  19. 2853
  20. 18
  21. 50
  22. 9
  23. 3
  24. ₹289
  25. 49 sq cm
  26. 1
  27. 50
  28. 4176
  29. ₹176
  30. 60
  31. 77 sq cm
  32. ₹3300
  33. ₹120
  34. 37
  35. ₹32
  36. 63
  37. 4 cm
  38. 40%
  39. 7
  40. 15 days

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