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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 248 · 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 4 consecutive even numbers is 76. What is the smallest of them?
  2. 2.The sum of two numbers is 80 and their difference is 70. What is the smaller number?
  3. 3.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?
  4. 4.One number is 2 times another. Their difference is 40. What is the smaller number?
  5. 5.The sum of two numbers is 13 and their difference is 9. What is the larger number?
  6. 6.One number is 4 times another. Their difference is 39. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  9. 9.The sum of two numbers is 118 and their difference is 74. What is the larger number?
  10. 10.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 74. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 70. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  17. 17.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  18. 18.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
  19. 19.The sum of two numbers is 43 and their difference is 25. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 78. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 34. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  24. 24.The sum of two numbers is 53 and their difference is 5. What is the smaller number?
  25. 25.The sum of two numbers is 71 and their difference is 51. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 90. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 24. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 66. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  30. 30.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 6. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 120. What is the largest of them?
  34. 34.The sum of two numbers is 90 and their difference is 2. What is the smaller number?
  35. 35.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?
  36. 36.One number is 2 times another. Their difference is 18. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 36. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 142. What is the smallest of them?

Answer key

  1. 16
  2. 5
  3. 78
  4. 40
  5. 11
  6. 13
  7. 16
  8. 25
  9. 96
  10. 49
  11. 7
  12. 37
  13. 25
  14. 21
  15. 19
  16. 59
  17. 23
  18. 10
  19. 9
  20. 21
  21. 79
  22. 34
  23. 35
  24. 24
  25. 61
  26. 31
  27. 24
  28. 23
  29. 19
  30. 7
  31. 6
  32. 35
  33. 41
  34. 44
  35. 24
  36. 18
  37. 12
  38. 32
  39. 16
  40. 34

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