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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 729 · 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 122 and their difference is 50. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  3. 3.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 60. What is the smaller number?
  5. 5.One number is 6 times another. Their difference is 140. What is the smaller number?
  6. 6.The sum of two numbers is 133 and their difference is 17. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 9. What is the smaller number?
  10. 10.The sum of two numbers is 25 and their difference is 13. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 18. What is the largest of them?
  18. 18.The sum of two numbers is 145 and their difference is 3. What is the larger number?
  19. 19.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  20. 20.The sum of two numbers is 35 and their difference is 3. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 130. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  24. 24.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 40. What is the smaller number?
  26. 26.The sum of two numbers is 123 and their difference is 1. What is the smaller number?
  27. 27.The sum of two numbers is 79 and their difference is 17. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 21. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 290. What is the largest of them?
  31. 31.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  33. 33.The sum of two numbers is 87 and their difference is 5. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  35. 35.The sum of two numbers is 145 and their difference is 39. What is the smaller number?
  36. 36.The sum of two numbers is 94 and their difference is 46. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  38. 38.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  39. 39.One number is 3 times another. Their difference is 56. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?

Answer key

  1. 36
  2. 14
  3. 38
  4. 30
  5. 28
  6. 58
  7. 10
  8. 42
  9. 3
  10. 6
  11. 35
  12. 19
  13. 14
  14. 33
  15. 48
  16. 11
  17. 7
  18. 74
  19. 55
  20. 19
  21. 30
  22. 26
  23. 36
  24. 38
  25. 8
  26. 61
  27. 31
  28. 44
  29. 21
  30. 60
  31. 25
  32. 53
  33. 41
  34. 45
  35. 53
  36. 24
  37. 23
  38. 76
  39. 28
  40. 53

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