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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 469 · 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 3 consecutive numbers is 60. What is the largest of them?
  2. 2.The sum of two numbers is 64 and their difference is 56. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 15. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 78. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 74. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  9. 9.The sum of two numbers is 98 and their difference is 82. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 29. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  13. 13.One number is 5 times another. Their difference is 44. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 130. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 102. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 95. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 136. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 10. What is the smaller number?
  23. 23.The sum of two numbers is 39 and their difference is 19. What is the larger number?
  24. 24.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  25. 25.One number is 5 times another. Their difference is 144. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 122. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  35. 35.One number is 5 times another. Their difference is 52. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  38. 38.The sum of two numbers is 97 and their difference is 7. What is the larger number?
  39. 39.The sum of two numbers is 148 and their difference is 22. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 242. What is the smallest of them?

Answer key

  1. 21
  2. 4
  3. 5
  4. 39
  5. 79
  6. 35
  7. 37
  8. 29
  9. 8
  10. 29
  11. 56
  12. 17
  13. 11
  14. 46
  15. 10
  16. 28
  17. 24
  18. 35
  19. 21
  20. 64
  21. 34
  22. 5
  23. 29
  24. 20
  25. 36
  26. 58
  27. 32
  28. 79
  29. 14
  30. 16
  31. 81
  32. 57
  33. 76
  34. 29
  35. 13
  36. 45
  37. 34
  38. 52
  39. 85
  40. 59

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