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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 185 · 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 numbers is 146. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.The sum of two numbers is 52 and their difference is 10. What is the larger number?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  6. 6.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.One number is 2 times another. Their difference is 11. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 74. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 78. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  15. 15.The sum of two numbers is 141 and their difference is 23. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 27. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 183. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 12. What is the smaller number?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 106. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 7. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 110. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 112. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.One number is 3 times another. Their difference is 40. What is the smaller number?
  32. 32.The sum of two numbers is 19 and their difference is 3. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 15. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 120. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 129. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 182. What is the largest of them?
  39. 39.The sum of two numbers is 116 and their difference is 76. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 164. What is the smallest of them?

Answer key

  1. 35
  2. 56
  3. 58
  4. 31
  5. 19
  6. 29
  7. 31
  8. 46
  9. 11
  10. 37
  11. 26
  12. 89
  13. 6
  14. 71
  15. 59
  16. 27
  17. 62
  18. 12
  19. 24
  20. 13
  21. 12
  22. 47
  23. 28
  24. 7
  25. 18
  26. 22
  27. 28
  28. 40
  29. 27
  30. 79
  31. 20
  32. 11
  33. 15
  34. 18
  35. 51
  36. 30
  37. 44
  38. 47
  39. 96
  40. 38

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