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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 667 · 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 5 consecutive numbers is 275. What is the smallest of them?
  2. 2.The sum of two numbers is 73 and their difference is 1. What is the larger number?
  3. 3.One number is 5 times another. Their difference is 112. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 28. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 126. What is the largest of them?
  6. 6.The sum of two numbers is 17 and their difference is 3. What is the larger number?
  7. 7.The sum of two numbers is 37 and their difference is 29. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 3 consecutive numbers is 162. What is the largest of them?
  12. 12.The sum of two numbers is 130 and their difference is 56. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 30. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 56. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 145. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  24. 24.The sum of two numbers is 45 and their difference is 17. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  26. 26.The sum of two numbers is 95 and their difference is 17. What is the smaller number?
  27. 27.One number is 6 times another. Their difference is 15. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  29. 29.The sum of two numbers is 88 and their difference is 76. What is the smaller number?
  30. 30.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?
  31. 31.One number is 6 times another. Their difference is 50. What is the smaller number?
  32. 32.The sum of two numbers is 12 and their difference is 10. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 130. What is the largest of them?
  35. 35.One number is 5 times another. Their difference is 136. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 48. What is the smaller number?
  37. 37.One number is 5 times another. Their difference is 152. What is the smaller number?
  38. 38.The sum of two numbers is 31 and their difference is 19. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 54. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 138. What is the smallest of them?

Answer key

  1. 53
  2. 37
  3. 28
  4. 28
  5. 43
  6. 10
  7. 4
  8. 13
  9. 9
  10. 12
  11. 55
  12. 37
  13. 30
  14. 14
  15. 24
  16. 49
  17. 6
  18. 18
  19. 18
  20. 18
  21. 29
  22. 33
  23. 13
  24. 14
  25. 51
  26. 39
  27. 3
  28. 41
  29. 6
  30. 29
  31. 10
  32. 1
  33. 17
  34. 28
  35. 34
  36. 24
  37. 38
  38. 6
  39. 15
  40. 44

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