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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 441 · 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 15. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.One number is 5 times another. Their difference is 60. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 63. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 80. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of two numbers is 174 and their difference is 8. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 15. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  10. 10.One number is 6 times another. Their difference is 55. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  12. 12.The sum of two numbers is 148 and their difference is 6. What is the larger number?
  13. 13.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?
  14. 14.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 6 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 36. What is the largest of them?
  19. 19.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?
  20. 20.The sum of two numbers is 59 and their difference is 13. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 120. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  23. 23.The sum of two numbers is 166 and their difference is 20. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 230. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 24. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 65. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  31. 31.The sum of two numbers is 42 and their difference is 28. What is the smaller number?
  32. 32.One number is 5 times another. Their difference is 140. What is the smaller number?
  33. 33.The sum of two numbers is 45 and their difference is 5. What is the larger number?
  34. 34.One number is 3 times another. Their difference is 54. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 85. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 78. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 125. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 90. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 87. What is the smallest of them?

Answer key

  1. 69
  2. 15
  3. 22
  4. 16
  5. 47
  6. 83
  7. 17
  8. 15
  9. 55
  10. 11
  11. 48
  12. 77
  13. 78
  14. 64
  15. 26
  16. 36
  17. 3
  18. 13
  19. 67
  20. 36
  21. 26
  22. 17
  23. 93
  24. 19
  25. 36
  26. 19
  27. 48
  28. 24
  29. 15
  30. 48
  31. 7
  32. 35
  33. 25
  34. 27
  35. 19
  36. 36
  37. 21
  38. 25
  39. 31
  40. 28

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