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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 670 · 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 5 times another. Their difference is 96. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 72. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  4. 4.The sum of two numbers is 31 and their difference is 7. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 23. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 34. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 16. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 141 and their difference is 55. What is the larger number?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the 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 4 consecutive numbers is 122. What is the largest of them?
  14. 14.The sum of two numbers is 29 and their difference is 9. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  17. 17.The sum of two numbers is 90 and their difference is 68. What is the smaller number?
  18. 18.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  19. 19.One number is 2 times another. Their difference is 33. What is the smaller number?
  20. 20.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?
  21. 21.One number is 3 times another. Their difference is 66. What is the smaller number?
  22. 22.The sum of two numbers is 76 and their difference is 66. What is the larger number?
  23. 23.The sum of two numbers is 25 and their difference is 21. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 68 and their difference is 60. What is the larger number?
  26. 26.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 115. What is the smaller number?
  29. 29.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?
  30. 30.The sum of two numbers is 30 and their difference is 2. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  32. 32.The sum of two numbers is 109 and their difference is 59. What is the smaller number?
  33. 33.The sum of two numbers is 132 and their difference is 34. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  36. 36.The sum of two numbers is 93 and their difference is 7. What is the larger number?
  37. 37.One number is 2 times another. Their difference is 9. What is the smaller number?
  38. 38.The sum of two numbers is 81 and their difference is 11. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 166. What is the largest of them?
  40. 40.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?

Answer key

  1. 24
  2. 25
  3. 53
  4. 12
  5. 24
  6. 23
  7. 34
  8. 8
  9. 78
  10. 98
  11. 45
  12. 59
  13. 32
  14. 10
  15. 17
  16. 60
  17. 11
  18. 12
  19. 33
  20. 79
  21. 33
  22. 71
  23. 2
  24. 36
  25. 64
  26. 15
  27. 48
  28. 23
  29. 67
  30. 14
  31. 16
  32. 25
  33. 83
  34. 21
  35. 36
  36. 50
  37. 9
  38. 35
  39. 43
  40. 34

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