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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 807 · 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 106 and their difference is 32. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 60. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 67 and their difference is 37. What is the larger number?
  6. 6.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 90. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 28. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  10. 10.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?
  11. 11.One number is 2 times another. Their difference is 10. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of 5 consecutive numbers is 65. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.One number is 6 times another. Their difference is 125. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 3. What is the smaller number?
  18. 18.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?
  19. 19.One number is 5 times another. Their difference is 40. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 44. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 45. What is the largest of them?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  29. 29.The sum of two numbers is 35 and their difference is 19. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 100. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  32. 32.The sum of two numbers is 134 and their difference is 24. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of two numbers is 83 and their difference is 57. What is the larger number?
  35. 35.One number is 5 times another. Their difference is 76. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 51. What is the largest of them?

Answer key

  1. 69
  2. 21
  3. 41
  4. 59
  5. 52
  6. 44
  7. 24
  8. 28
  9. 73
  10. 17
  11. 10
  12. 46
  13. 15
  14. 18
  15. 36
  16. 25
  17. 3
  18. 78
  19. 10
  20. 11
  21. 54
  22. 61
  23. 89
  24. 19
  25. 16
  26. 12
  27. 25
  28. 63
  29. 27
  30. 22
  31. 44
  32. 55
  33. 67
  34. 70
  35. 19
  36. 23
  37. 35
  38. 56
  39. 23
  40. 18

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