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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 331 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  3. 3.The sum of two numbers is 87 and their difference is 47. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 136. What is the smaller number?
  5. 5.The sum of two numbers is 50 and their difference is 30. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 36. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  9. 9.One number is 6 times another. Their difference is 200. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  14. 14.The sum of two numbers is 19 and their difference is 15. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.One number is 3 times another. Their difference is 68. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 175. What is the smaller number?
  22. 22.The sum of two numbers is 24 and their difference is 18. What is the smaller number?
  23. 23.The sum of two numbers is 100 and their difference is 30. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 20. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 90. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  31. 31.The sum of two numbers is 54 and their difference is 32. What is the smaller number?
  32. 32.The sum of two numbers is 102 and their difference is 74. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  34. 34.The sum of two numbers is 144 and their difference is 14. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 110 and their difference is 54. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 74. What is the smaller number?
  39. 39.The sum of two numbers is 42 and their difference is 26. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 86. What is the smallest of them?

Answer key

  1. 89
  2. 13
  3. 20
  4. 34
  5. 10
  6. 12
  7. 58
  8. 50
  9. 40
  10. 41
  11. 6
  12. 10
  13. 43
  14. 2
  15. 20
  16. 8
  17. 19
  18. 21
  19. 35
  20. 34
  21. 35
  22. 3
  23. 35
  24. 14
  25. 8
  26. 57
  27. 4
  28. 18
  29. 9
  30. 15
  31. 11
  32. 14
  33. 38
  34. 65
  35. 57
  36. 28
  37. 10
  38. 37
  39. 8
  40. 20

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