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Number Skills Practice Worksheet

Quantitative aptitude lesson 10: Practice: number skills · Set 71 · 40 questions
TalentJR

The method (Spot the type): Read the question and name the topic: HCF/LCM, fraction, ratio, percent … Use that lesson’s method and write each step. Check: is the answer sensible in size and units?

NameDateTime takenScore ___ / 40
  1. 1.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.A hall floor is 80 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  3. 3.Round 66418 to the nearest hundred.
  4. 4.Find the LCM of 42 and 54.
  5. 5.Which of these numbers divides exactly by 9? (a) 5969 (b) 8404 (c) 6561 (d) 9272
  6. 6.What is the smallest number you must take away from 857 so that it divides exactly by 4?
  7. 7.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  8. 8.If 3 pencil boxes cost ₹180, how much do 18 pencil boxes cost (in ₹)?
  9. 9.1/4 + 5/7 =
  10. 10.Find the smallest number bigger than 6 that leaves a remainder of 1 when divided by 3, 4 or 6.
  11. 11.If 8 kg of rice costs ₹464, how many kg can you buy for ₹232?
  12. 12.Which is closest to 2396 ÷ 39? (a) 60 (b) 30 (c) 600 (d) 120
  13. 13.Write 3/5 as a percent.
  14. 14.A hall floor is 100 cm long and 75 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  15. 15.Round 67413 to the nearest thousand.
  16. 16.Find the smallest number bigger than 5 that leaves a remainder of 1 when divided by 5, 3 or 4.
  17. 17.What is the smallest number you must add to 817 so that it divides exactly by 12?
  18. 18.Divide ₹550 between Kabir and Tara in the ratio 9 : 1. How much does Kabir get (in ₹)?
  19. 19.Which of these numbers divides exactly by 11? (a) 3201 (b) 7046 (c) 3370 (d) 7834
  20. 20.Divide ₹352 between Kavya and Diya in the ratio 3 : 8. How much does Kavya get (in ₹)?
  21. 21.What is the smallest number you must add to 178 so that it divides exactly by 13?
  22. 22.19.8 ÷ 3 =
  23. 23.Aditya scored 10 marks out of 25 in a test. What percentage did Aditya score?
  24. 24.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  25. 25.(2 + 7) × 9 − 11 =
  26. 26.Ananya takes 90 seconds and Zoya takes 54 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
  27. 27.7 painters can paint a school in 23 days. How many days would 23 painters take, working at the same speed?
  28. 28.Find the LCM of 15, 5 and 12.
  29. 29.Three temple bells ring every 8, 4 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  30. 30.5% of a number is 6. What is the number?
  31. 31.Round 27916 to the nearest hundred.
  32. 32.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  33. 33.8/12 − 1/4 =
  34. 34.4/7 + 1/3 =
  35. 35.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  37. 37.Two tanks hold 405 litres and 360 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  38. 38.Divide ₹360 between Aarav and Meera in the ratio 4 : 5. How much does Aarav get (in ₹)?
  39. 39.3/4 × 7/8 =
  40. 40.Two tanks hold 70 litres and 30 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?

Answer key

  1. 75
  2. 12
  3. 66400
  4. 378
  5. 6561
  6. 1
  7. 81
  8. 1080
  9. 27/28
  10. 13
  11. 4
  12. 60
  13. 60
  14. 12
  15. 67000
  16. 61
  17. 11
  18. 495
  19. 3201
  20. 96
  21. 4
  22. 6.6
  23. 40
  24. 35
  25. 70
  26. 270
  27. 7
  28. 60
  29. 24
  30. 120
  31. 27900
  32. 20
  33. 5/12
  34. 19/21
  35. 24
  36. 21
  37. 45
  38. 160
  39. 21/32
  40. 10

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