← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 195 · 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.What is the units digit of 8^58? (a) 2 (b) 6 (c) 8 (d) 4
  2. 2.Which of these numbers is divisible by 6? (a) 5310 (b) 5309 (c) 5319 (d) 5311
  3. 3.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm
  4. 4.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 105 min (c) 36 min (d) 315 min
  5. 5.What is the smallest number you must add to 299 to make it divisible by 11? (a) 10 (b) 9 (c) 8 (d) 2
  6. 6.What is the average of all the whole numbers from 58 to 86? (a) 72 (b) 14 (c) 28 (d) 73
  7. 7.The simple interest on ₹3000 for 2 years is ₹180. What is the rate per year? (a) 3% (b) 4% (c) 2% (d) 6%
  8. 8.Which fraction is greater: 11/12 or 1/6? (a) They are equal (b) 1/6 (c) 11/12
  9. 9.In how many years will ₹6500 earn ₹3900 simple interest at 12% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
  10. 10.What is the value of the digit 5 in 37.569? (a) 0.05 (b) 0.005 (c) 5 (d) 0.5
  11. 11.₹7500 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹12000 (b) ₹4500 (c) ₹8400 (d) ₹12900
  12. 12.5/8 + 4/8 = ? (a) 9/16 (b) 1 (c) 5/4 (d) 9/8
  13. 13.What is the average of 34, 41, 37, 30 and 63? (a) 42 (b) 43 (c) 41 (d) 40
  14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  15. 15.2.28 + 4.9 = ? (a) 7.28 (b) 7.18 (c) 7.08 (d) 2.77
  16. 16.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 3 min (c) 135 min (d) 45 min
  17. 17.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 25% (b) 78% (c) 30% (d) 35%
  18. 18.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 47 cm (d) 140 cm
  19. 19.Which is the greatest: 0.429, 0.5, 0.56, 0.051? (a) 0.429 (b) 0.5 (c) 0.56 (d) 0.051
  20. 20.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 2 : ? (a) 8 (b) 18 (c) 26 (d) 9
  21. 21.If 2x + 17 = 47, what is x? (a) 30 (b) 16 (c) 32 (d) 15
  22. 22.Which is the greatest: 0.451, 0.081, 0.5, 0.57? (a) 0.451 (b) 0.081 (c) 0.5 (d) 0.57
  23. 23.₹66 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹18 (b) ₹6 (c) ₹48 (d) ₹33
  24. 24.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  25. 25.What is the value of the digit 5 in 93.651? (a) 0.5 (b) 5 (c) 0.05 (d) 0.005
  26. 26.Every pair follows the same rule: 2 : 8, 3 : 9, 9 : 15. What is 6 : ? (a) 13 (b) 11 (c) 24 (d) 12
  27. 27.If 4x + 12 = x + 18, what is x? (a) 4 (b) 2 (c) 3 (d) 10
  28. 28.Which is the smallest: 0.4, 0.351, 0.47, 0.027? (a) 0.4 (b) 0.351 (c) 0.47 (d) 0.027
  29. 29.If 2 pens cost ₹12, how much do 5 pens cost? (a) ₹30 (b) ₹15 (c) ₹36 (d) ₹60
  30. 30.Which of these numbers is divisible by 3? (a) 1531 (b) 1527 (c) 1529 (d) 1525
  31. 31.What is the average of 44, 46, 56 and 70? (a) 72 (b) 54 (c) 55 (d) 53
  32. 32.₹5000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹5300 (b) ₹5900 (c) ₹6200 (d) ₹900
  33. 33.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 50 cm (d) 6 cm
  34. 34.What is 1/2 of 10? (a) 10 (b) 5 (c) 4 (d) 6
  35. 35.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 20%
  36. 36.What is the simple interest on ₹8000 at 9% per year for 5 years? (a) ₹720 (b) ₹11600 (c) ₹4320 (d) ₹3600
  37. 37.If x/5 + 15 = 25, what is x? (a) 10 (b) 110 (c) 50 (d) 200
  38. 38.What is the average of all the whole numbers from 17 to 35? (a) 27 (b) 18 (c) 26 (d) 9
  39. 39.A shopkeeper buys a toy for ₹620 and sells it for ₹682. What is his profit percent? (a) 5% (b) 62% (c) 15% (d) 10%
  40. 40.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm

Answer key

  1. 4
  2. 5310
  3. 30 sq cm
  4. 105 min
  5. 9
  6. 72
  7. 3%
  8. 11/12
  9. 5 years
  10. 0.5
  11. ₹12000
  12. 9/8
  13. 41
  14. 50 cm
  15. 7.18
  16. 45 min
  17. 30%
  18. 54 cm
  19. 0.56
  20. 8
  21. 15
  22. 0.57
  23. ₹48
  24. 15%
  25. 0.05
  26. 12
  27. 2
  28. 0.027
  29. ₹30
  30. 1527
  31. 54
  32. ₹5900
  33. 6 cm
  34. 5
  35. 10%
  36. ₹3600
  37. 50
  38. 26
  39. 10%
  40. 64 sq cm

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