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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 559 · 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 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?
  2. 2.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 45. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.One number is 3 times another. Their difference is 64. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 110. What is the smaller number?
  12. 12.The sum of two numbers is 17 and their difference is 7. What is the smaller number?
  13. 13.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of two numbers is 112 and their difference is 54. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  21. 21.The sum of two numbers is 99 and their difference is 29. What is the larger number?
  22. 22.The sum of two numbers is 56 and their difference is 20. What is the larger number?
  23. 23.One number is 4 times another. Their difference is 114. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 171. What is the largest of them?
  26. 26.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?
  27. 27.One number is 5 times another. Their difference is 100. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 124. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  30. 30.The sum of two numbers is 54 and their difference is 26. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 165. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 118. What is the smallest of them?

Answer key

  1. 25
  2. 44
  3. 16
  4. 41
  5. 15
  6. 12
  7. 45
  8. 32
  9. 23
  10. 59
  11. 22
  12. 5
  13. 38
  14. 23
  15. 49
  16. 29
  17. 34
  18. 79
  19. 20
  20. 33
  21. 64
  22. 38
  23. 38
  24. 40
  25. 58
  26. 16
  27. 25
  28. 31
  29. 7
  30. 14
  31. 34
  32. 76
  33. 15
  34. 51
  35. 46
  36. 33
  37. 48
  38. 27
  39. 76
  40. 28

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