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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 966 · 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 numbers is 102. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 60. What is the largest of them?
  3. 3.The sum of two numbers is 61 and their difference is 17. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 72. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  8. 8.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 55. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  12. 12.The sum of two numbers is 29 and their difference is 11. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 13. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 135. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 108. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 93. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  20. 20.The sum of two numbers is 31 and their difference is 1. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 81. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 56 and their difference is 18. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.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?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of two numbers is 52 and their difference is 38. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 174. What is the largest of them?
  31. 31.The sum of two numbers is 55 and their difference is 7. What is the larger number?
  32. 32.One number is 2 times another. Their difference is 30. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.The sum of 4 consecutive numbers is 58. What is the largest of them?
  35. 35.The sum of two numbers is 74 and their difference is 58. What is the larger number?
  36. 36.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?
  37. 37.One number is 3 times another. Their difference is 64. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 80. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 96. What is the largest of them?

Answer key

  1. 24
  2. 14
  3. 39
  4. 57
  5. 25
  6. 14
  7. 57
  8. 17
  9. 89
  10. 13
  11. 41
  12. 9
  13. 68
  14. 26
  15. 13
  16. 27
  17. 27
  18. 31
  19. 37
  20. 16
  21. 27
  22. 37
  23. 19
  24. 23
  25. 47
  26. 56
  27. 12
  28. 7
  29. 14
  30. 59
  31. 31
  32. 30
  33. 24
  34. 16
  35. 66
  36. 78
  37. 32
  38. 40
  39. 43
  40. 33

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