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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 344 · 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 134. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.One number is 5 times another. Their difference is 112. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 14. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  8. 8.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?
  9. 9.One number is 4 times another. Their difference is 108. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 18. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 168. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 27. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 141. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 52. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 5. What is the smaller number?
  19. 19.The sum of two numbers is 56 and their difference is 34. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  25. 25.The sum of two numbers is 124 and their difference is 44. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 50. 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 9. What is the number?
  28. 28.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  29. 29.The sum of two numbers is 117 and their difference is 7. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 78. What is the largest of them?
  31. 31.The sum of 3 consecutive numbers is 39. What is the largest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 53 and their difference is 9. What is the larger number?
  34. 34.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  35. 35.The sum of two numbers is 60 and their difference is 50. What is the smaller number?
  36. 36.The sum of two numbers is 91 and their difference is 79. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 138. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 48. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  40. 40.The sum of two numbers is 39 and their difference is 23. What is the smaller number?

Answer key

  1. 35
  2. 12
  3. 27
  4. 69
  5. 28
  6. 14
  7. 46
  8. 36
  9. 36
  10. 9
  11. 57
  12. 11
  13. 27
  14. 48
  15. 26
  16. 12
  17. 35
  18. 5
  19. 45
  20. 58
  21. 17
  22. 13
  23. 68
  24. 37
  25. 40
  26. 12
  27. 67
  28. 31
  29. 55
  30. 21
  31. 14
  32. 89
  33. 31
  34. 49
  35. 5
  36. 85
  37. 47
  38. 12
  39. 78
  40. 8

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