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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 214 · 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.One number is 4 times another. Their difference is 96. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 12. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  4. 4.The sum of 5 consecutive numbers is 300. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 72. What is the largest of them?
  6. 6.The sum of two numbers is 63 and their difference is 21. What is the larger number?
  7. 7.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?
  8. 8.The sum of two numbers is 25 and their difference is 3. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 24. What is the largest of them?
  10. 10.The sum of two numbers is 131 and their difference is 9. What is the smaller number?
  11. 11.The sum of two numbers is 21 and their difference is 3. What is the larger number?
  12. 12.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?
  13. 13.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of two numbers is 43 and their difference is 1. What is the smaller number?
  17. 17.The sum of two numbers is 106 and their difference is 38. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 114. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 66. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 50. What is the largest of them?
  28. 28.The sum of two numbers is 26 and their difference is 4. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 275. What is the largest of them?
  30. 30.The sum of two numbers is 57 and their difference is 35. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The sum of two numbers is 181 and their difference is 15. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 65. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 24. What is the smaller number?
  37. 37.The sum of two numbers is 140 and their difference is 10. What is the larger number?
  38. 38.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 120. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 72. What is the largest of them?

Answer key

  1. 32
  2. 6
  3. 17
  4. 62
  5. 25
  6. 42
  7. 89
  8. 14
  9. 9
  10. 61
  11. 12
  12. 59
  13. 15
  14. 23
  15. 36
  16. 21
  17. 34
  18. 61
  19. 19
  20. 41
  21. 38
  22. 42
  23. 36
  24. 22
  25. 14
  26. 21
  27. 12
  28. 11
  29. 57
  30. 11
  31. 39
  32. 83
  33. 24
  34. 24
  35. 13
  36. 6
  37. 75
  38. 42
  39. 30
  40. 21

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