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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 623 · 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 102 and their difference is 46. What is the smaller number?
  2. 2.The sum of two numbers is 41 and their difference is 1. What is the larger number?
  3. 3.The sum of two numbers is 68 and their difference is 8. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  5. 5.The sum of two numbers is 35 and their difference is 19. What is the larger number?
  6. 6.The sum of two numbers is 32 and their difference is 4. What is the smaller number?
  7. 7.The sum of two numbers is 60 and their difference is 42. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  9. 9.One number is 3 times another. Their difference is 60. What is the smaller number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 40. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  13. 13.One number is 6 times another. Their difference is 120. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.One number is 4 times another. Their difference is 21. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 80. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 56. 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 48 and their difference is 12. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 82. What is the largest of them?
  25. 25.The sum of two numbers is 118 and their difference is 58. What is the larger number?
  26. 26.One number is 6 times another. Their difference is 50. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  29. 29.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  30. 30.The sum of two numbers is 28 and their difference is 12. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 3. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 94. What is the largest of them?
  36. 36.The sum of two numbers is 38 and their difference is 10. What is the smaller number?
  37. 37.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?
  38. 38.The sum of two numbers is 159 and their difference is 5. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 102. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 50. What is the smallest of them?

Answer key

  1. 28
  2. 21
  3. 30
  4. 71
  5. 27
  6. 14
  7. 9
  8. 17
  9. 30
  10. 78
  11. 8
  12. 21
  13. 24
  14. 12
  15. 7
  16. 18
  17. 13
  18. 14
  19. 26
  20. 18
  21. 63
  22. 80
  23. 12
  24. 22
  25. 88
  26. 10
  27. 10
  28. 35
  29. 9
  30. 8
  31. 3
  32. 40
  33. 53
  34. 70
  35. 25
  36. 14
  37. 89
  38. 77
  39. 27
  40. 8

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