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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 877 · 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 5 consecutive numbers is 95. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 130. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 12. What is the smaller number?
  6. 6.The sum of two numbers is 70 and their difference is 26. What is the larger number?
  7. 7.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 54. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  11. 11.The sum of two numbers is 35 and their difference is 25. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 190. What is the largest of them?
  16. 16.The sum of two numbers is 104 and their difference is 16. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 18. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 135. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 140. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 69. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 95. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 15. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  27. 27.The sum of two numbers is 41 and their difference is 7. What is the larger number?
  28. 28.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?
  29. 29.One number is 2 times another. Their difference is 28. What is the smaller number?
  30. 30.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?
  31. 31.The sum of two numbers is 94 and their difference is 82. What is the smaller number?
  32. 32.One number is 5 times another. Their difference is 80. What is the smaller number?
  33. 33.The sum of two numbers is 134 and their difference is 58. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 250. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.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?
  38. 38.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  40. 40.The sum of two numbers is 71 and their difference is 35. What is the larger number?

Answer key

  1. 21
  2. 26
  3. 49
  4. 30
  5. 3
  6. 48
  7. 52
  8. 16
  9. 15
  10. 32
  11. 5
  12. 14
  13. 25
  14. 54
  15. 40
  16. 44
  17. 9
  18. 41
  19. 46
  20. 35
  21. 23
  22. 19
  23. 32
  24. 3
  25. 27
  26. 64
  27. 24
  28. 79
  29. 28
  30. 58
  31. 6
  32. 20
  33. 96
  34. 52
  35. 44
  36. 23
  37. 56
  38. 17
  39. 10
  40. 53

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