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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 548 · 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 78. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 135. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 5. What is the smaller number?
  6. 6.The sum of two numbers is 122 and their difference is 2. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  9. 9.The sum of two numbers is 106 and their difference is 26. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of two numbers is 129 and their difference is 51. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 13. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 178. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 69. What is the smaller number?
  15. 15.The sum of two numbers is 123 and their difference is 61. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 275. What is the largest of them?
  17. 17.The sum of two numbers is 184 and their difference is 6. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 15. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  21. 21.The sum of two numbers is 109 and their difference is 5. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  23. 23.The sum of 3 consecutive numbers is 183. What is the largest of them?
  24. 24.One number is 3 times another. Their difference is 26. What is the smaller number?
  25. 25.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?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.One number is 5 times another. Their difference is 12. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.One number is 5 times another. Their difference is 160. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 18. What is the smaller number?
  31. 31.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?
  32. 32.One number is 2 times another. Their difference is 23. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 48. What is the smaller number?
  34. 34.The sum of two numbers is 22 and their difference is 8. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.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?
  37. 37.The sum of two numbers is 163 and their difference is 17. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  40. 40.The sum of two numbers is 36 and their difference is 2. What is the larger number?

Answer key

  1. 27
  2. 31
  3. 29
  4. 10
  5. 5
  6. 62
  7. 22
  8. 66
  9. 40
  10. 89
  11. 39
  12. 13
  13. 46
  14. 23
  15. 31
  16. 57
  17. 89
  18. 5
  19. 31
  20. 33
  21. 52
  22. 18
  23. 62
  24. 13
  25. 67
  26. 49
  27. 3
  28. 39
  29. 40
  30. 18
  31. 78
  32. 23
  33. 12
  34. 7
  35. 45
  36. 12
  37. 73
  38. 73
  39. 43
  40. 19

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