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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 664 · 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 3 consecutive numbers is 24. What is the largest of them?
  2. 2.The sum of two numbers is 14 and their difference is 10. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 105. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  5. 5.The sum of two numbers is 139 and their difference is 47. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  8. 8.The sum of two numbers is 134 and their difference is 20. What is the larger number?
  9. 9.The sum of two numbers is 48 and their difference is 28. What is the larger number?
  10. 10.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  11. 11.The sum of two numbers is 87 and their difference is 59. What is the larger number?
  12. 12.The sum of two numbers is 81 and their difference is 3. What is the larger number?
  13. 13.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 26. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  16. 16.The sum of two numbers is 34 and their difference is 18. What is the larger number?
  17. 17.The sum of 5 consecutive numbers is 135. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  20. 20.One number is 4 times another. Their difference is 72. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  23. 23.The sum of two numbers is 74 and their difference is 58. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 24. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 185. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 155. What is the largest of them?
  31. 31.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?
  32. 32.One number is 4 times another. Their difference is 57. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  34. 34.The sum of two numbers is 40 and their difference is 16. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  37. 37.The sum of two numbers is 183 and their difference is 3. What is the larger number?
  38. 38.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?
  39. 39.One number is 4 times another. Their difference is 96. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 60. What is the smallest of them?

Answer key

  1. 9
  2. 12
  3. 23
  4. 57
  5. 46
  6. 29
  7. 69
  8. 77
  9. 38
  10. 29
  11. 73
  12. 42
  13. 25
  14. 26
  15. 17
  16. 26
  17. 29
  18. 89
  19. 45
  20. 24
  21. 11
  22. 11
  23. 8
  24. 15
  25. 60
  26. 6
  27. 34
  28. 43
  29. 39
  30. 33
  31. 37
  32. 19
  33. 76
  34. 12
  35. 78
  36. 34
  37. 93
  38. 68
  39. 32
  40. 12

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