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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 668 · 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 6 times another. Their difference is 130. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 120. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 23. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 14. What is the smaller number?
  7. 7.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?
  8. 8.One number is 5 times another. Their difference is 88. What is the smaller number?
  9. 9.The sum of two numbers is 22 and their difference is 10. What is the smaller number?
  10. 10.The sum of two numbers is 49 and their difference is 23. What is the smaller number?
  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.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.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?
  15. 15.The sum of two numbers is 51 and their difference is 43. What is the larger number?
  16. 16.One number is 4 times another. Their difference is 63. What is the smaller number?
  17. 17.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?
  18. 18.One number is 5 times another. Their difference is 32. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 55. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 6. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 147. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 84. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  27. 27.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?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of two numbers is 120 and their difference is 52. What is the smaller number?
  30. 30.The sum of two numbers is 26 and their difference is 14. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 10. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 108. What is the smaller number?
  33. 33.The sum of two numbers is 130 and their difference is 50. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 66. 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.The sum of two numbers is 107 and their difference is 7. What is the larger number?
  37. 37.One number is 2 times another. Their difference is 3. What is the smaller number?
  38. 38.The sum of two numbers is 30 and their difference is 28. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 246. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 292. What is the largest of them?

Answer key

  1. 26
  2. 26
  3. 25
  4. 38
  5. 23
  6. 7
  7. 78
  8. 22
  9. 6
  10. 13
  11. 56
  12. 81
  13. 28
  14. 89
  15. 47
  16. 21
  17. 34
  18. 8
  19. 13
  20. 79
  21. 5
  22. 3
  23. 50
  24. 28
  25. 26
  26. 28
  27. 29
  28. 47
  29. 34
  30. 6
  31. 10
  32. 36
  33. 40
  34. 15
  35. 59
  36. 57
  37. 3
  38. 1
  39. 63
  40. 76

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