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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 375 · 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 159. What is the smallest of them?
  2. 2.One number is 4 times another. Their difference is 75. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  4. 4.The sum of two numbers is 63 and their difference is 45. What is the larger number?
  5. 5.One number is 6 times another. Their difference is 60. What is the smaller number?
  6. 6.The sum of two numbers is 105 and their difference is 69. What is the larger number?
  7. 7.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 105. What is the largest of them?
  11. 11.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?
  12. 12.One number is 6 times another. Their difference is 155. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 60. What is the smaller number?
  16. 16.The sum of two numbers is 97 and their difference is 3. What is the larger number?
  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 5 consecutive numbers is 80. What is the smallest of them?
  19. 19.The sum of two numbers is 46 and their difference is 8. What is the larger number?
  20. 20.The sum of two numbers is 83 and their difference is 45. What is the smaller number?
  21. 21.The sum of two numbers is 126 and their difference is 54. What is the smaller number?
  22. 22.The sum of two numbers is 129 and their difference is 59. What is the larger number?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of two numbers is 13 and their difference is 9. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 66. What is the smaller number?
  27. 27.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?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.One number is 2 times another. Their difference is 10. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  32. 32.The sum of two numbers is 131 and their difference is 23. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 58. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.One number is 3 times another. Their difference is 14. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 220. What is the largest of them?

Answer key

  1. 52
  2. 25
  3. 11
  4. 54
  5. 12
  6. 87
  7. 17
  8. 37
  9. 17
  10. 36
  11. 56
  12. 31
  13. 17
  14. 50
  15. 20
  16. 50
  17. 24
  18. 14
  19. 27
  20. 19
  21. 36
  22. 94
  23. 78
  24. 69
  25. 11
  26. 33
  27. 37
  28. 68
  29. 34
  30. 10
  31. 41
  32. 77
  33. 16
  34. 73
  35. 59
  36. 7
  37. 74
  38. 61
  39. 42
  40. 46

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