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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 480 · 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.One number is 4 times another. Their difference is 51. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  4. 4.One number is 2 times another. Their difference is 8. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 138. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 174. What is the largest of them?
  9. 9.The sum of two numbers is 118 and their difference is 68. What is the larger number?
  10. 10.The sum of two numbers is 133 and their difference is 3. What is the larger number?
  11. 11.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 31. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  18. 18.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of two numbers is 90 and their difference is 14. What is the larger number?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  23. 23.The sum of two numbers is 116 and their difference is 62. What is the larger number?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  28. 28.The sum of two numbers is 34 and their difference is 20. What is the larger number?
  29. 29.The sum of two numbers is 137 and their difference is 31. What is the smaller number?
  30. 30.The sum of two numbers is 49 and their difference is 31. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  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 34. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  36. 36.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  38. 38.The sum of two numbers is 52 and their difference is 28. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 243. What is the largest of them?

Answer key

  1. 17
  2. 69
  3. 25
  4. 8
  5. 34
  6. 11
  7. 36
  8. 45
  9. 93
  10. 68
  11. 33
  12. 34
  13. 31
  14. 14
  15. 44
  16. 68
  17. 39
  18. 78
  19. 89
  20. 52
  21. 59
  22. 28
  23. 89
  24. 79
  25. 57
  26. 58
  27. 25
  28. 27
  29. 53
  30. 9
  31. 54
  32. 72
  33. 24
  34. 10
  35. 56
  36. 47
  37. 36
  38. 40
  39. 61
  40. 83

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