← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 535 · 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.A teacher has 9 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 36 (c) 1 (d) 3
  2. 2.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 171 cm (d) 47 cm
  3. 3.The simple interest on ₹9000 for 4 years is ₹2160. What is the rate per year? (a) 6% (b) 7% (c) 24% (d) 5%
  4. 4.What is the average of all the whole numbers from 29 to 39? (a) 5 (b) 34 (c) 10 (d) 35
  5. 5.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 42 sq cm (d) 49 sq cm
  6. 6.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 48 days (b) 18 days (c) 6 days (d) 3 days
  7. 7.What is the simple interest on ₹4000 at 9% per year for 2 years? (a) ₹360 (b) ₹720 (c) ₹4720 (d) ₹1080
  8. 8.If x/6 + 4 = 15, what is x? (a) 86 (b) 114 (c) 66 (d) 11
  9. 9.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 5% (b) 10% (c) 34% (d) 6%
  10. 10.What is the simple interest on ₹8000 at 6% per year for 4 years? (a) ₹1920 (b) ₹480 (c) ₹2400 (d) ₹9920
  11. 11.What is 2/5 of 25? (a) 11 (b) 15 (c) 10 (d) 5
  12. 12.What is the average of 62, 76, 75, 58 and 59? (a) 65 (b) 67 (c) 68 (d) 66
  13. 13.What is the average of 33, 27, 45 and 23? (a) 34 (b) 32 (c) 31 (d) 33
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  15. 15.If 2 mangoes cost ₹38, how much do 3 mangoes cost? (a) ₹76 (b) ₹57 (c) ₹114 (d) ₹39
  16. 16.What is the average of 17, 28, 27, 20 and 28? (a) 30 (b) 23 (c) 24 (d) 25
  17. 17.If 6x + 4 = 2x + 48, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  18. 18.₹6500 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹1170 (b) ₹6890 (c) ₹8060 (d) ₹7670
  19. 19.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 16% (b) 15% (c) 5% (d) 10%
  20. 20.What is the remainder when 492 is divided by 8? (a) 3 (b) 5 (c) 4 (d) 6
  21. 21.What is the units digit of 2^51? (a) 4 (b) 8 (c) 6 (d) 2
  22. 22.What is the average of 67, 43, 47, 58, 60 and 73? (a) 59 (b) 60 (c) 58 (d) 57
  23. 23.A shopkeeper buys a toy for ₹500 and sells it for ₹575. What is his profit percent? (a) 75% (b) 20% (c) 10% (d) 15%
  24. 24.If 16 October is a Thursday, what day of the week is 11 November? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  25. 25.What is 4/5 of 35? (a) 7 (b) 29 (c) 35 (d) 28
  26. 26.Every pair follows the same rule: 2 : 7, 3 : 8, 8 : 13. What is 4 : ? (a) 8 (b) 11 (c) 10 (d) 9
  27. 27.What is the remainder when 441 is divided by 11? (a) 1 (b) 10 (c) 0 (d) 2
  28. 28.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 126 min (c) 42 min (d) 27 min
  29. 29.Which fraction is greater: 8/9 or 2/3? (a) 8/9 (b) They are equal (c) 2/3
  30. 30.4.56 + 2.4 = ? (a) 4.8 (b) 6.86 (c) 6.96 (d) 7.06
  31. 31.What is the simple interest on ₹8000 at 10% per year for 2 years? (a) ₹2400 (b) ₹800 (c) ₹1600 (d) ₹9600
  32. 32.What is the value of the digit 3 in 16.793? (a) 3 (b) 0.3 (c) 0.03 (d) 0.003
  33. 33.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 7 days (d) 9 days
  34. 34.₹8500 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹5100 (b) ₹9520 (c) ₹14620 (d) ₹13600
  35. 35.₹2500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹3100 (b) ₹3000 (c) ₹2600 (d) ₹500
  36. 36.What is 1/4 of 36? (a) 9 (b) 27 (c) 10 (d) 18
  37. 37.A shopkeeper buys a toy for ₹820 and sells it for ₹1148. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  38. 38.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  39. 39.1/4 + 2/9 = ? (a) 17/36 (b) 1/2 (c) 4/9 (d) 3/13
  40. 40.What is 75% of 400? (a) 3000 (b) 600 (c) 300 (d) 100

Answer key

  1. 3
  2. 56 cm
  3. 6%
  4. 34
  5. 42 sq cm
  6. 48 days
  7. ₹720
  8. 66
  9. 5%
  10. ₹1920
  11. 10
  12. 66
  13. 32
  14. 225 sq cm
  15. ₹57
  16. 24
  17. 11
  18. ₹7670
  19. 10%
  20. 4
  21. 8
  22. 58
  23. 15%
  24. Tuesday
  25. 28
  26. 9
  27. 1
  28. 42 min
  29. 8/9
  30. 6.96
  31. ₹1600
  32. 0.003
  33. 8 days
  34. ₹13600
  35. ₹3000
  36. 9
  37. 40%
  38. 24 cm
  39. 17/36
  40. 300

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