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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 168 · 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 144. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  3. 3.The sum of two numbers is 106 and their difference is 36. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 98. What is the largest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 175 and their difference is 3. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  9. 9.The sum of two numbers is 62 and their difference is 22. What is the larger number?
  10. 10.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 160. What is the largest of them?
  13. 13.One number is 6 times another. Their difference is 45. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 136. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 36. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  20. 20.One number is 3 times another. Their difference is 80. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.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?
  23. 23.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  26. 26.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  27. 27.The sum of two numbers is 29 and their difference is 7. What is the larger number?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 74. 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.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?
  33. 33.The sum of two numbers is 56 and their difference is 6. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 225. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.The sum of 3 consecutive numbers is 36. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 37. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 28. What is the smaller number?

Answer key

  1. 36
  2. 17
  3. 71
  4. 7
  5. 26
  6. 69
  7. 86
  8. 29
  9. 42
  10. 27
  11. 79
  12. 34
  13. 9
  14. 47
  15. 31
  16. 34
  17. 33
  18. 12
  19. 53
  20. 40
  21. 15
  22. 68
  23. 58
  24. 10
  25. 48
  26. 16
  27. 18
  28. 24
  29. 35
  30. 37
  31. 78
  32. 89
  33. 25
  34. 47
  35. 14
  36. 13
  37. 20
  38. 11
  39. 37
  40. 14

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