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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 435 · 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 4 pens cost ₹20, how much do 12 pens cost? (a) ₹65 (b) ₹28 (c) ₹60 (d) ₹240
  2. 2.In how many years will ₹2500 earn ₹550 simple interest at 11% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
  3. 3.Every pair follows the same rule: 3 : 15, 4 : 22, 8 : 70. What is 9 : ? (a) 82 (b) 87 (c) 21 (d) 45
  4. 4.What is 5/8 of 64? (a) 40 (b) 48 (c) 8 (d) 24
  5. 5.What is the smallest number you must add to 647 to make it divisible by 9? (a) 2 (b) 3 (c) 1 (d) 8
  6. 6.A teacher has 10 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 1 (c) 10 (d) 15
  7. 7.What is the simple interest on ₹3500 at 8% per year for 3 years? (a) ₹4340 (b) ₹1120 (c) ₹280 (d) ₹840
  8. 8.A shopkeeper buys a toy for ₹440 and sells it for ₹572. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  9. 9.If 9 pens cost ₹135, how much do 12 pens cost? (a) ₹180 (b) ₹1620 (c) ₹195 (d) ₹138
  10. 10.A teacher has 45 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 45 (c) 270 (d) 3
  11. 11.Which of these numbers is divisible by 3? (a) 694 (b) 693 (c) 692 (d) 697
  12. 12.What is 25% of 720? (a) 540 (b) 1800 (c) 360 (d) 180
  13. 13.Two ribbons are 4 cm and 14 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) 4 cm (c) 2 cm (d) 10 cm
  14. 14.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 40 (b) 33 (c) 19 (d) 54
  15. 15.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 5 days (c) 36 days (d) 35 days
  16. 16.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 15% (b) 30% (c) 5% (d) 10%
  17. 17.What is the remainder when 587 is divided by 10? (a) 3 (b) 8 (c) 7 (d) 6
  18. 18.What is the simple interest on ₹10000 at 12% per year for 2 years? (a) ₹3600 (b) ₹1200 (c) ₹12400 (d) ₹2400
  19. 19.Which of these numbers is divisible by 6? (a) 1096 (b) 1089 (c) 1099 (d) 1092
  20. 20.Which of these numbers is divisible by 6? (a) 680 (b) 673 (c) 671 (d) 672
  21. 21.1/3 + 2/3 = ? (a) 4/3 (b) 1/2 (c) 2/3 (d) 1
  22. 22.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 80 sq cm (c) 36 sq cm (d) 90 sq cm
  23. 23.If 4x + 3 = 23, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  24. 24.What is the units digit of 4^58? (a) 7 (b) 4 (c) 5 (d) 6
  25. 25.What is the value of the digit 1 in 32.871? (a) 0.001 (b) 0.1 (c) 0.01 (d) 1
  26. 26.7.68 + 2.2 = ? (a) 9.88 (b) 7.9 (c) 9.98 (d) 9.78
  27. 27.2/3 + 7/8 = ? (a) 19/12 (b) 9/11 (c) 3/2 (d) 37/24
  28. 28.If 9 mangoes cost ₹225, how much do 2 mangoes cost? (a) ₹218 (b) ₹75 (c) ₹450 (d) ₹50
  29. 29.What is the units digit of 2^57? (a) 2 (b) 4 (c) 6 (d) 8
  30. 30.What is the units digit of 8^24? (a) 8 (b) 6 (c) 4 (d) 2
  31. 31.If 6x + 11 = 35, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  32. 32.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 35 (b) 103 (c) 34 (d) 49
  33. 33.Every pair follows the same rule: 2 : 8, 4 : 16, 7 : 28. What is 5 : ? (a) 21 (b) 20 (c) 19 (d) 11
  34. 34.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 8 cm (d) 3 cm
  35. 35.8.82 + 3.8 = ? (a) 12.62 (b) 12.72 (c) 9.2 (d) 12.52
  36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 25% (b) 88% (c) 15% (d) 20%
  37. 37.What is 20% of 740? (a) 592 (b) 1480 (c) 296 (d) 148
  38. 38.A bag marked ₹1960 is sold at a 15% discount. What is its selling price? (a) ₹1945 (b) ₹2254 (c) ₹1666 (d) ₹294
  39. 39.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  40. 40.If 5x + 3 = 2x + 6, what is x? (a) 3 (b) 2 (c) 1 (d) 4

Answer key

  1. ₹60
  2. 2 years
  3. 87
  4. 40
  5. 1
  6. 5
  7. ₹840
  8. 30%
  9. ₹180
  10. 9
  11. 693
  12. 180
  13. 2 cm
  14. 54
  15. 35 days
  16. 10%
  17. 7
  18. ₹2400
  19. 1092
  20. 672
  21. 1
  22. 80 sq cm
  23. 5
  24. 6
  25. 0.001
  26. 9.88
  27. 37/24
  28. ₹50
  29. 2
  30. 6
  31. 4
  32. 34
  33. 20
  34. 3 cm
  35. 12.62
  36. 20%
  37. 148
  38. ₹1666
  39. 36 sq cm
  40. 1

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