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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 624 · 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 74 and their difference is 36. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 35. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  4. 4.The sum of two numbers is 121 and their difference is 23. What is the larger number?
  5. 5.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 147. What is the largest of them?
  7. 7.One number is 6 times another. Their difference is 55. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 56. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 117. What is the smaller number?
  10. 10.The sum of two numbers is 32 and their difference is 24. What is the larger number?
  11. 11.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 23 and their difference is 7. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 7. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 135. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 74. What is the largest of them?
  20. 20.One number is 6 times another. Their difference is 90. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 202. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 32. What is the smaller number?
  26. 26.The sum of two numbers is 108 and their difference is 10. What is the larger number?
  27. 27.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 126. What is the largest of them?
  31. 31.One number is 3 times another. Their difference is 68. What is the smaller number?
  32. 32.One number is 5 times another. Their difference is 24. What is the smaller number?
  33. 33.The sum of two numbers is 18 and their difference is 16. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 30. What is the largest of them?
  36. 36.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.One number is 5 times another. Their difference is 96. What is the smaller number?
  38. 38.The sum of two numbers is 34 and their difference is 32. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  40. 40.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?

Answer key

  1. 19
  2. 9
  3. 15
  4. 72
  5. 64
  6. 50
  7. 11
  8. 28
  9. 39
  10. 28
  11. 68
  12. 57
  13. 8
  14. 7
  15. 45
  16. 19
  17. 19
  18. 29
  19. 20
  20. 18
  21. 27
  22. 52
  23. 45
  24. 62
  25. 16
  26. 59
  27. 68
  28. 43
  29. 58
  30. 43
  31. 34
  32. 6
  33. 1
  34. 72
  35. 9
  36. 27
  37. 24
  38. 1
  39. 21
  40. 68

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