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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 579 · 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 odd numbers is 320. What is the largest of them?
  2. 2.The sum of two numbers is 29 and their difference is 13. What is the larger number?
  3. 3.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  4. 4.The sum of two numbers is 85 and their difference is 41. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  7. 7.The sum of two numbers is 44 and their difference is 40. What is the larger number?
  8. 8.The sum of 3 consecutive numbers is 51. 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 4 consecutive odd numbers is 248. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 210. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 40. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 195. What is the smaller number?
  14. 14.The sum of two numbers is 71 and their difference is 51. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 66. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  22. 22.The sum of two numbers is 19 and their difference is 13. What is the larger number?
  23. 23.One number is 6 times another. Their difference is 165. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 95. What is the largest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  30. 30.The sum of two numbers is 22 and their difference is 2. What is the larger number?
  31. 31.The sum of two numbers is 51 and their difference is 5. What is the larger number?
  32. 32.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  33. 33.The sum of two numbers is 96 and their difference is 66. What is the larger number?
  34. 34.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 111. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 153. What is the largest of them?
  37. 37.The sum of two numbers is 77 and their difference is 11. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 6. What is the smaller number?

Answer key

  1. 83
  2. 21
  3. 25
  4. 22
  5. 59
  6. 57
  7. 42
  8. 16
  9. 89
  10. 65
  11. 54
  12. 20
  13. 39
  14. 10
  15. 37
  16. 71
  17. 32
  18. 35
  19. 9
  20. 23
  21. 39
  22. 16
  23. 33
  24. 13
  25. 29
  26. 31
  27. 21
  28. 79
  29. 77
  30. 12
  31. 28
  32. 76
  33. 81
  34. 44
  35. 37
  36. 52
  37. 33
  38. 64
  39. 30
  40. 6

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