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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 725 · 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 3 consecutive numbers is 18. What is the smallest of them?
  3. 3.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  6. 6.The sum of two numbers is 16 and their difference is 6. What is the larger number?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The sum of two numbers is 33 and their difference is 17. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 22. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 38. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 51. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 63. What is the largest of them?
  14. 14.The sum of two numbers is 44 and their difference is 4. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 99. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 81. What is the largest of them?
  21. 21.The sum of two numbers is 68 and their difference is 4. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.One number is 2 times another. Their difference is 17. What is the smaller number?
  25. 25.The sum of two numbers is 126 and their difference is 40. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  27. 27.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?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 12. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 105. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  34. 34.One number is 3 times another. Their difference is 14. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  36. 36.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.The sum of two numbers is 125 and their difference is 31. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 40. What is the smaller number?
  39. 39.The sum of two numbers is 93 and their difference is 89. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 36. What is the smaller number?

Answer key

  1. 89
  2. 5
  3. 46
  4. 79
  5. 42
  6. 11
  7. 37
  8. 8
  9. 11
  10. 19
  11. 18
  12. 9
  13. 22
  14. 20
  15. 34
  16. 67
  17. 29
  18. 33
  19. 77
  20. 28
  21. 32
  22. 26
  23. 46
  24. 17
  25. 43
  26. 35
  27. 49
  28. 39
  29. 27
  30. 56
  31. 3
  32. 36
  33. 33
  34. 7
  35. 70
  36. 16
  37. 47
  38. 10
  39. 2
  40. 36

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