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Number Skills Practice Worksheet

Quantitative aptitude lesson 10: Practice: number skills · Set 199 · 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.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  2. 2.Which of these numbers divides exactly by 11? (a) 7978 (b) 8547 (c) 9072 (d) 3833
  3. 3.What is 12% of 175?
  4. 4.4/5 − 5/10 =
  5. 5.Find the smallest number bigger than 15 that leaves a remainder of 4 when divided by 5, 10 or 15.
  6. 6.What is the smallest number you must add to 855 so that it divides exactly by 8?
  7. 7.Which of these numbers divides exactly by 3? (a) 1539 (b) 8539 (c) 3919 (d) 2164
  8. 8.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  9. 9.Isha takes 30 seconds and Zoya takes 45 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?
  10. 10.Find the LCM of 4 and 18.
  11. 11.2/3 of 18 + 2 × 5 =
  12. 12.Round 14.38 to one decimal place. =
  13. 13.A car goes 16 km on 2 litres of petrol. How far can it go on 13 litres (in km)?
  14. 14.Find the LCM of 6 and 9.
  15. 15.How many factors does 97 have?
  16. 16.Divide ₹650 between Priya and Aditya in the ratio 4 : 9. How much does Priya get (in ₹)?
  17. 17.Which is closest to 497 × 40? (Round each number first.) (a) 20000 (b) 2000 (c) 40000 (d) 200000
  18. 18.A hostel has enough food for 12 students for 14 days. How many days will the same food last for 6 students?
  19. 19.What is 120% of 135?
  20. 20.What percent of 20 is 13?
  21. 21.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  22. 22.What is 75% of 456?
  23. 23.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  24. 24.A car goes 54 km on 3 litres of petrol. How far can it go on 12 litres (in km)?
  25. 25.A hall floor is 225 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  26. 26.7.64 + 7.9 =
  27. 27.A hall floor is 315 cm long and 135 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  28. 28.28 − 48 ÷ 8 × 4 =
  29. 29.(16 + 10) × 2 − 2 =
  30. 30.(11 + 10) × 7 − 9 =
  31. 31.Three temple bells ring every 18, 9 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  32. 32.Which of these numbers divides exactly by 3? (a) 5817 (b) 1933 (c) 9857 (d) 4948
  33. 33.What is the smallest number you must take away from 562 so that it divides exactly by 12?
  34. 34.Find the LCM of 6, 15 and 3.
  35. 35.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  37. 37.Two tanks hold 50 litres and 40 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  38. 38.Which of these numbers divides exactly by 8? (a) 6300 (b) 8112 (c) 6234 (d) 6358
  39. 39.Find the LCM of 11, 4 and 3.
  40. 40.Find the HCF of 12 and 15.

Answer key

  1. 28
  2. 8547
  3. 21
  4. 3/10
  5. 34
  6. 1
  7. 1539
  8. 14
  9. 90
  10. 36
  11. 22
  12. 14.4
  13. 104
  14. 18
  15. 2
  16. 200
  17. 20000
  18. 28
  19. 162
  20. 65
  21. 21
  22. 342
  23. 28
  24. 216
  25. 10
  26. 15.54
  27. 21
  28. 4
  29. 50
  30. 138
  31. 72
  32. 5817
  33. 10
  34. 30
  35. 35
  36. 81
  37. 10
  38. 8112
  39. 132
  40. 3

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