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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 599 · 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 37 and their difference is 25. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  5. 5.The sum of two numbers is 29 and their difference is 25. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 165. What is the largest of them?
  7. 7.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?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 100. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 168. What is the largest of them?
  12. 12.The sum of two numbers is 40 and their difference is 2. What is the smaller number?
  13. 13.The sum of two numbers is 171 and their difference is 19. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 54. What is the largest of them?
  19. 19.The sum of two numbers is 57 and their difference is 7. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  21. 21.The sum of two numbers is 90 and their difference is 60. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  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.One number is 5 times another. Their difference is 136. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  28. 28.One number is 4 times another. Their difference is 48. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 158. What is the largest of them?
  32. 32.One number is 3 times another. Their difference is 68. What is the smaller number?
  33. 33.The sum of two numbers is 97 and their difference is 91. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  36. 36.The sum of two numbers is 135 and their difference is 1. What is the smaller number?
  37. 37.The sum of two numbers is 37 and their difference is 11. What is the larger number?
  38. 38.The sum of two numbers is 83 and their difference is 47. What is the larger number?
  39. 39.One number is 5 times another. Their difference is 60. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 120. What is the smaller number?

Answer key

  1. 6
  2. 17
  3. 69
  4. 15
  5. 2
  6. 35
  7. 89
  8. 36
  9. 25
  10. 20
  11. 57
  12. 19
  13. 76
  14. 84
  15. 49
  16. 14
  17. 17
  18. 19
  19. 25
  20. 52
  21. 15
  22. 14
  23. 81
  24. 23
  25. 34
  26. 78
  27. 48
  28. 16
  29. 18
  30. 58
  31. 41
  32. 34
  33. 94
  34. 21
  35. 58
  36. 67
  37. 24
  38. 65
  39. 15
  40. 40

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