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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 571 · 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 even numbers is 92. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 36. What is the smaller number?
  3. 3.The sum of two numbers is 40 and their difference is 6. What is the larger number?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  5. 5.One number is 4 times another. Their difference is 12. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 110. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 11. What is the smaller number?
  9. 9.The sum of two numbers is 99 and their difference is 89. What is the larger number?
  10. 10.One number is 3 times another. Their difference is 8. What is the smaller number?
  11. 11.The sum of two numbers is 12 and their difference is 8. What is the larger number?
  12. 12.One number is 3 times another. Their difference is 14. What is the smaller number?
  13. 13.The sum of two numbers is 29 and their difference is 13. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 200. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 56. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  18. 18.The sum of two numbers is 81 and their difference is 21. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of two numbers is 122 and their difference is 48. What is the larger number?
  21. 21.One number is 5 times another. Their difference is 40. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 60. What is the smaller number?
  23. 23.The sum of two numbers is 69 and their difference is 15. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 85. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 138. What is the largest of them?
  27. 27.One number is 6 times another. Their difference is 80. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  29. 29.The sum of two numbers is 131 and their difference is 23. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  33. 33.One number is 5 times another. Their difference is 88. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 15. What is the smaller number?
  36. 36.The sum of two numbers is 99 and their difference is 67. What is the smaller number?
  37. 37.The sum of two numbers is 57 and their difference is 1. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 129. What is the largest of them?
  39. 39.The sum of two numbers is 101 and their difference is 9. What is the larger number?
  40. 40.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 20
  2. 18
  3. 23
  4. 29
  5. 4
  6. 24
  7. 7
  8. 11
  9. 94
  10. 4
  11. 10
  12. 7
  13. 8
  14. 42
  15. 28
  16. 89
  17. 29
  18. 30
  19. 26
  20. 85
  21. 10
  22. 20
  23. 27
  24. 47
  25. 19
  26. 47
  27. 16
  28. 75
  29. 54
  30. 49
  31. 29
  32. 65
  33. 22
  34. 74
  35. 15
  36. 16
  37. 29
  38. 44
  39. 55
  40. 68

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