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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 64 · 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.One number is 5 times another. Their difference is 20. What is the smaller number?
  2. 2.The sum of two numbers is 146 and their difference is 4. What is the larger number?
  3. 3.The sum of two numbers is 89 and their difference is 73. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 23. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 90. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 53 and their difference is 31. What is the larger number?
  9. 9.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  10. 10.The sum of two numbers is 116 and their difference is 60. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  15. 15.The sum of two numbers is 35 and their difference is 3. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.One number is 4 times another. Their difference is 21. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  19. 19.The sum of two numbers is 68 and their difference is 54. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  23. 23.The sum of two numbers is 28 and their difference is 22. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 162. What is the largest of them?
  26. 26.The sum of two numbers is 171 and their difference is 15. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 7. What is the smaller number?
  30. 30.The sum of two numbers is 102 and their difference is 74. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  32. 32.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  33. 33.One number is 6 times another. Their difference is 30. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 116. What is the smaller number?
  35. 35.The sum of two numbers is 71 and their difference is 61. What is the larger number?
  36. 36.The sum of two numbers is 55 and their difference is 51. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 145. What is the largest of them?
  39. 39.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?
  40. 40.The sum of 3 consecutive numbers is 138. What is the smallest of them?

Answer key

  1. 5
  2. 75
  3. 8
  4. 23
  5. 57
  6. 30
  7. 57
  8. 42
  9. 42
  10. 88
  11. 9
  12. 78
  13. 33
  14. 33
  15. 16
  16. 35
  17. 7
  18. 50
  19. 7
  20. 67
  21. 55
  22. 34
  23. 3
  24. 57
  25. 42
  26. 78
  27. 23
  28. 43
  29. 7
  30. 14
  31. 37
  32. 43
  33. 6
  34. 29
  35. 66
  36. 53
  37. 51
  38. 31
  39. 24
  40. 45

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