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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 604 · 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 two numbers is 19 and their difference is 5. What is the larger number?
  2. 2.The sum of two numbers is 137 and their difference is 9. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 152. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 9. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 60 and their difference is 32. What is the larger number?
  14. 14.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?
  15. 15.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  17. 17.One number is 6 times another. Their difference is 130. What is the smaller number?
  18. 18.The sum of two numbers is 140 and their difference is 44. What is the smaller number?
  19. 19.The sum of two numbers is 39 and their difference is 9. What is the smaller number?
  20. 20.The sum of two numbers is 46 and their difference is 8. What is the larger number?
  21. 21.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  22. 22.The sum of two numbers is 77 and their difference is 9. What is the smaller number?
  23. 23.The sum of two numbers is 21 and their difference is 5. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  25. 25.One number is 3 times another. Their difference is 72. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 15. What is the smaller number?
  27. 27.The sum of two numbers is 35 and their difference is 9. What is the larger number?
  28. 28.The sum of two numbers is 13 and their difference is 11. What is the larger number?
  29. 29.The sum of 5 consecutive numbers is 210. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 125. What is the smaller number?
  31. 31.The sum of two numbers is 49 and their difference is 15. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The sum of 5 consecutive numbers is 145. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 93. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  37. 37.The sum of two numbers is 64 and their difference is 6. What is the smaller number?
  38. 38.The sum of two numbers is 20 and their difference is 16. What is the larger number?
  39. 39.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 122. What is the smallest of them?

Answer key

  1. 12
  2. 64
  3. 46
  4. 31
  5. 36
  6. 38
  7. 45
  8. 29
  9. 14
  10. 9
  11. 52
  12. 34
  13. 46
  14. 57
  15. 16
  16. 21
  17. 26
  18. 48
  19. 15
  20. 27
  21. 48
  22. 34
  23. 8
  24. 54
  25. 36
  26. 5
  27. 22
  28. 12
  29. 44
  30. 25
  31. 17
  32. 26
  33. 31
  34. 32
  35. 16
  36. 24
  37. 29
  38. 18
  39. 10
  40. 29

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