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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 728 · 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 even numbers is 92. 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 sum of 4 consecutive numbers is 214. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 120. What is the smaller number?
  6. 6.The sum of two numbers is 12 and their difference is 8. 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 9. What is the number?
  8. 8.The sum of 5 consecutive numbers is 60. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 44. What is the smaller number?
  11. 11.The sum of two numbers is 171 and their difference is 23. What is the smaller number?
  12. 12.The sum of two numbers is 126 and their difference is 22. What is the larger number?
  13. 13.The sum of two numbers is 133 and their difference is 13. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 225. What is the largest of them?
  15. 15.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?
  16. 16.One number is 2 times another. Their difference is 6. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  18. 18.The sum of two numbers is 66 and their difference is 26. What is the larger number?
  19. 19.One number is 5 times another. Their difference is 48. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 21. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 194. What is the largest of them?
  23. 23.The sum of two numbers is 20 and their difference is 4. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 142. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 28. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 40. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  31. 31.The sum of two numbers is 105 and their difference is 17. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 175. What is the largest of them?
  40. 40.One number is 4 times another. Their difference is 27. What is the smaller number?

Answer key

  1. 20
  2. 56
  3. 52
  4. 36
  5. 24
  6. 2
  7. 45
  8. 14
  9. 20
  10. 11
  11. 74
  12. 74
  13. 60
  14. 47
  15. 79
  16. 6
  17. 59
  18. 46
  19. 12
  20. 50
  21. 21
  22. 50
  23. 8
  24. 43
  25. 31
  26. 37
  27. 14
  28. 57
  29. 10
  30. 17
  31. 61
  32. 45
  33. 10
  34. 35
  35. 46
  36. 67
  37. 31
  38. 7
  39. 37
  40. 9

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