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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 813 · 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 4 consecutive odd numbers is 40. What is the largest of them?
  2. 2.The sum of two numbers is 67 and their difference is 55. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 40. What is the largest of them?
  4. 4.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?
  5. 5.One number is 3 times another. Their difference is 58. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  8. 8.The sum of two numbers is 51 and their difference is 39. What is the smaller number?
  9. 9.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?
  10. 10.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?
  11. 11.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  14. 14.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?
  15. 15.One number is 2 times another. Their difference is 8. What is the smaller number?
  16. 16.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?
  17. 17.The sum of two numbers is 116 and their difference is 64. What is the larger number?
  18. 18.One number is 5 times another. Their difference is 84. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 68. What is the smaller number?
  23. 23.The sum of two numbers is 34 and their difference is 32. What is the larger number?
  24. 24.The sum of two numbers is 109 and their difference is 27. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 115 and their difference is 35. What is the larger number?
  28. 28.The sum of two numbers is 22 and their difference is 16. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  30. 30.The sum of 3 consecutive numbers is 114. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.One number is 2 times another. Their difference is 33. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 30. What is the smaller number?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 9. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 51. What is the largest of them?
  37. 37.The sum of two numbers is 36 and their difference is 6. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 70. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 52. What is the smaller number?

Answer key

  1. 13
  2. 6
  3. 10
  4. 57
  5. 29
  6. 56
  7. 7
  8. 6
  9. 37
  10. 47
  11. 64
  12. 79
  13. 43
  14. 34
  15. 8
  16. 58
  17. 90
  18. 21
  19. 43
  20. 16
  21. 36
  22. 34
  23. 33
  24. 41
  25. 27
  26. 35
  27. 75
  28. 3
  29. 18
  30. 39
  31. 25
  32. 33
  33. 15
  34. 89
  35. 3
  36. 18
  37. 15
  38. 66
  39. 14
  40. 26

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