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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 144 · 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 odd numbers is 56. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 310. What is the largest of them?
  3. 3.The sum of two numbers is 148 and their difference is 28. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  5. 5.The sum of two numbers is 107 and their difference is 17. What is the larger number?
  6. 6.The sum of two numbers is 83 and their difference is 5. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  8. 8.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?
  9. 9.One number is 2 times another. Their difference is 5. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 90. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  12. 12.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  15. 15.The sum of two numbers is 87 and their difference is 25. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 74. What is the smaller number?
  20. 20.The sum of two numbers is 34 and their difference is 14. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 18. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  28. 28.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 17. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  33. 33.The sum of two numbers is 98 and their difference is 46. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 183. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  38. 38.One number is 4 times another. Their difference is 120. What is the smaller number?
  39. 39.The sum of two numbers is 98 and their difference is 44. What is the smaller number?
  40. 40.The sum of two numbers is 61 and their difference is 23. What is the smaller number?

Answer key

  1. 11
  2. 64
  3. 88
  4. 22
  5. 62
  6. 39
  7. 18
  8. 27
  9. 5
  10. 30
  11. 49
  12. 69
  13. 46
  14. 26
  15. 31
  16. 59
  17. 23
  18. 28
  19. 37
  20. 10
  21. 72
  22. 44
  23. 27
  24. 10
  25. 6
  26. 82
  27. 49
  28. 36
  29. 9
  30. 41
  31. 17
  32. 7
  33. 72
  34. 27
  35. 62
  36. 53
  37. 26
  38. 40
  39. 27
  40. 19

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