← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 769 · 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.Today is Wednesday. What day of the week will it be after 75 days? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  2. 2.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 19 sq cm (d) 100 sq cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  4. 4.What is the smallest number you must add to 242 to make it divisible by 9? (a) 8 (b) 1 (c) 3 (d) 2
  5. 5.A shopkeeper buys a toy for ₹480 and sells it for ₹504. What is his profit percent? (a) 24% (b) 10% (c) 5% (d) 6%
  6. 6.Today is Thursday. What day of the week will it be after 10 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  7. 7.Every pair follows the same rule: 2 : 12, 3 : 17, 8 : 72. What is 7 : ? (a) 42 (b) 61 (c) 17 (d) 57
  8. 8.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 12 min (b) 2 min (c) 24 min (d) 10 min
  9. 9.What is the value of the digit 2 in 57.213? (a) 0.2 (b) 2 (c) 0.002 (d) 0.02
  10. 10.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
  11. 11.If 12 August is a Monday, what day of the week is 28 August? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  12. 12.If 7 notebooks cost ₹28, how much do 9 notebooks cost? (a) ₹30 (b) ₹40 (c) ₹252 (d) ₹36
  13. 13.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 10% (b) 42% (c) 15% (d) 20%
  14. 14.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  15. 15.Every pair follows the same rule: 2 : 6, 4 : 12, 8 : 24. What is 3 : ? (a) 7 (b) 9 (c) 8 (d) 10
  16. 16.The simple interest on ₹1500 for 3 years is ₹405. What is the rate per year? (a) 8% (b) 9% (c) 27% (d) 10%
  17. 17.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 9 days (d) 8 days
  18. 18.Which fraction is greater: 5/11 or 5/6? (a) 5/11 (b) They are equal (c) 5/6
  19. 19.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 2 days (d) 3 days
  20. 20.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 27 min (c) 3 min (d) 60 min
  21. 21.If 3 May is a Friday, what day of the week is 19 May? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  22. 22.In how many years will ₹4000 earn ₹240 simple interest at 2% per year? (a) 2 years (b) 4 years (c) 3 years (d) 6 years
  23. 23.What is 30% of 380? (a) 266 (b) 1140 (c) 228 (d) 114
  24. 24.In how many years will ₹7500 earn ₹3000 simple interest at 8% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
  25. 25.Which is the greatest: 0.27, 0.163, 0.059, 0.2? (a) 0.27 (b) 0.163 (c) 0.059 (d) 0.2
  26. 26.What is 3/4 of 32? (a) 25 (b) 24 (c) 32 (d) 8
  27. 27.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹48 (b) ₹36 (c) ₹12 (d) ₹60
  28. 28.If 5x + 15 = 90, what is x? (a) 21 (b) 75 (c) 15 (d) 16
  29. 29.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 2 days (d) 10 days
  30. 30.If 9x + 23 = 77, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  31. 31.What is the remainder when 94 is divided by 7? (a) 3 (b) 2 (c) 5 (d) 4
  32. 32.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 10 days (d) 4 days
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  34. 34.8.49 + 3.1 = ? (a) 11.49 (b) 11.69 (c) 11.59 (d) 8.8
  35. 35.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 60 cm (d) 34 cm
  36. 36.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 5 : ? (a) 65 (b) 126 (c) 125 (d) 5
  37. 37.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) 45 (b) 9 (c) 270 (d) 3
  38. 38.If 5 kites cost ₹30, how much do 11 kites cost? (a) ₹330 (b) ₹72 (c) ₹36 (d) ₹66
  39. 39.If 8x + 23 = 63, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  40. 40.What is the average of all the whole numbers from 28 to 68? (a) 20 (b) 49 (c) 40 (d) 48

Answer key

  1. Monday
  2. 90 sq cm
  3. 196 sq cm
  4. 1
  5. 5%
  6. Sunday
  7. 57
  8. 12 min
  9. 0.2
  10. 4 cm
  11. Wednesday
  12. ₹36
  13. 15%
  14. 30%
  15. 9
  16. 9%
  17. 8 days
  18. 5/6
  19. 3 days
  20. 60 min
  21. Sunday
  22. 3 years
  23. 114
  24. 5 years
  25. 0.27
  26. 24
  27. ₹60
  28. 15
  29. 12 days
  30. 6
  31. 3
  32. 9 days
  33. 121 sq cm
  34. 11.59
  35. 38 cm
  36. 125
  37. 9
  38. ₹66
  39. 5
  40. 48

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