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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 587 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  2. 2.The sum of two numbers is 78 and their difference is 44. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 144. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of two numbers is 121 and their difference is 5. What is the larger number?
  6. 6.One number is 3 times another. Their difference is 44. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.The sum of two numbers is 159 and their difference is 21. What is the larger number?
  11. 11.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  13. 13.The sum of two numbers is 54 and their difference is 32. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.One number is 6 times another. Their difference is 65. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  18. 18.The sum of two numbers is 110 and their difference is 66. What is the larger number?
  19. 19.The sum of two numbers is 97 and their difference is 53. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 21. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  22. 22.The sum of two numbers is 69 and their difference is 59. What is the larger number?
  23. 23.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of two numbers is 34 and their difference is 4. What is the smaller number?
  25. 25.The sum of two numbers is 41 and their difference is 25. What is the larger number?
  26. 26.One number is 4 times another. Their difference is 51. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 60. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  29. 29.The sum of two numbers is 129 and their difference is 33. What is the larger number?
  30. 30.One number is 4 times another. Their difference is 75. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 39. What is the smaller number?
  32. 32.The sum of two numbers is 33 and their difference is 23. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 285. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The sum of two numbers is 72 and their difference is 32. What is the smaller number?
  37. 37.The sum of two numbers is 35 and their difference is 9. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 159. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 140. What is the smaller number?

Answer key

  1. 36
  2. 17
  3. 49
  4. 68
  5. 63
  6. 22
  7. 67
  8. 57
  9. 57
  10. 90
  11. 24
  12. 12
  13. 11
  14. 21
  15. 69
  16. 13
  17. 57
  18. 88
  19. 22
  20. 21
  21. 19
  22. 64
  23. 56
  24. 15
  25. 33
  26. 17
  27. 21
  28. 61
  29. 81
  30. 25
  31. 39
  32. 28
  33. 24
  34. 59
  35. 78
  36. 20
  37. 22
  38. 54
  39. 54
  40. 35

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