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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 588 · 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 two numbers is 45 and their difference is 29. What is the larger number?
  2. 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 96. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 100. What is the smaller number?
  6. 6.The sum of two numbers is 19 and their difference is 9. What is the larger number?
  7. 7.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?
  8. 8.One number is 4 times another. Their difference is 39. What is the smaller number?
  9. 9.The sum of two numbers is 159 and their difference is 29. What is the larger number?
  10. 10.The sum of two numbers is 63 and their difference is 55. What is the smaller number?
  11. 11.The sum of two numbers is 21 and their difference is 11. What is the larger number?
  12. 12.One number is 6 times another. Their difference is 65. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 36. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 105. What is the smaller number?
  17. 17.The sum of two numbers is 48 and their difference is 4. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 138. What is the largest of them?
  19. 19.The sum of two numbers is 15 and their difference is 7. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 21. What is the largest of them?
  21. 21.The sum of two numbers is 41 and their difference is 19. What is the smaller number?
  22. 22.The sum of two numbers is 21 and their difference is 15. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 21. What is the smaller number?
  27. 27.One number is 6 times another. Their difference is 20. What is the smaller number?
  28. 28.One number is 4 times another. Their difference is 90. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  30. 30.The sum of two numbers is 29 and their difference is 5. What is the smaller number?
  31. 31.The sum of two numbers is 96 and their difference is 68. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 51. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 125. What is the largest of them?

Answer key

  1. 37
  2. 56
  3. 47
  4. 33
  5. 20
  6. 14
  7. 34
  8. 13
  9. 94
  10. 4
  11. 16
  12. 13
  13. 77
  14. 10
  15. 36
  16. 21
  17. 22
  18. 36
  19. 11
  20. 8
  21. 11
  22. 3
  23. 85
  24. 50
  25. 38
  26. 7
  27. 4
  28. 30
  29. 19
  30. 12
  31. 14
  32. 11
  33. 79
  34. 30
  35. 58
  36. 49
  37. 17
  38. 69
  39. 66
  40. 27

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