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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 808 · 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 65. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 114. What is the largest of them?
  3. 3.The sum of two numbers is 87 and their difference is 55. What is the larger number?
  4. 4.The sum of two numbers is 35 and their difference is 11. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  7. 7.The sum of two numbers is 16 and their difference is 14. What is the larger number?
  8. 8.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 48. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 36. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 138. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 10. What is the smaller number?
  15. 15.The sum of two numbers is 99 and their difference is 69. What is the larger number?
  16. 16.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 3 consecutive numbers is 27. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 123. What is the largest of them?
  20. 20.The sum of two numbers is 70 and their difference is 26. What is the larger number?
  21. 21.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of two numbers is 123 and their difference is 53. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 60. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 54. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 39. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 28 and their difference is 4. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  30. 30.One number is 4 times another. Their difference is 81. What is the smaller number?
  31. 31.The sum of two numbers is 41 and their difference is 15. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  33. 33.The sum of two numbers is 40 and their difference is 22. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  36. 36.The sum of two numbers is 27 and their difference is 23. What is the smaller number?
  37. 37.The sum of two numbers is 37 and their difference is 11. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 79 and their difference is 11. What is the larger number?
  40. 40.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?

Answer key

  1. 11
  2. 30
  3. 71
  4. 12
  5. 78
  6. 27
  7. 15
  8. 20
  9. 24
  10. 18
  11. 30
  12. 10
  13. 36
  14. 5
  15. 84
  16. 81
  17. 59
  18. 10
  19. 42
  20. 48
  21. 34
  22. 88
  23. 21
  24. 18
  25. 22
  26. 39
  27. 23
  28. 12
  29. 17
  30. 27
  31. 13
  32. 70
  33. 9
  34. 24
  35. 60
  36. 2
  37. 13
  38. 58
  39. 45
  40. 51

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