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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 433 · 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 68 and their difference is 12. What is the larger number?
  2. 2.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?
  3. 3.One number is 4 times another. Their difference is 69. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 126. What is the largest of them?
  5. 5.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  6. 6.The sum of two numbers is 29 and their difference is 23. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 7. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 96 and their difference is 16. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 45. What is the smaller number?
  13. 13.The sum of two numbers is 71 and their difference is 63. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  16. 16.The sum of two numbers is 94 and their difference is 14. What is the larger number?
  17. 17.One number is 6 times another. Their difference is 145. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 108. What is the smaller number?
  19. 19.The sum of two numbers is 159 and their difference is 15. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.One number is 3 times another. Their difference is 16. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 72. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 20. What is the smaller number?
  25. 25.The sum of two numbers is 55 and their difference is 49. What is the smaller number?
  26. 26.The sum of two numbers is 82 and their difference is 44. What is the larger number?
  27. 27.The sum of two numbers is 66 and their difference is 56. What is the smaller number?
  28. 28.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?
  29. 29.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?
  30. 30.One number is 2 times another. Their difference is 35. What is the smaller number?
  31. 31.The sum of two numbers is 27 and their difference is 13. What is the smaller number?
  32. 32.The sum of two numbers is 86 and their difference is 38. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 214. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  36. 36.The sum of two numbers is 156 and their difference is 18. What is the smaller number?
  37. 37.The sum of two numbers is 87 and their difference is 29. What is the larger number?
  38. 38.The sum of two numbers is 54 and their difference is 24. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  40. 40.The sum of two numbers is 18 and their difference is 10. What is the smaller number?

Answer key

  1. 40
  2. 48
  3. 23
  4. 33
  5. 32
  6. 3
  7. 77
  8. 7
  9. 28
  10. 34
  11. 40
  12. 9
  13. 4
  14. 10
  15. 18
  16. 54
  17. 29
  18. 36
  19. 72
  20. 38
  21. 8
  22. 36
  23. 11
  24. 10
  25. 3
  26. 63
  27. 5
  28. 89
  29. 37
  30. 35
  31. 7
  32. 24
  33. 26
  34. 55
  35. 55
  36. 69
  37. 58
  38. 15
  39. 41
  40. 4

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