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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 293 · 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 131 and their difference is 45. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  3. 3.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  4. 4.The sum of two numbers is 134 and their difference is 36. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  7. 7.One number is 4 times another. Their difference is 105. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 108. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 24. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 21. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 123. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  16. 16.The sum of two numbers is 156 and their difference is 8. What is the larger number?
  17. 17.The sum of 5 consecutive numbers is 240. What is the largest of them?
  18. 18.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?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.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?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 68. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 120. What is the largest of them?
  24. 24.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of two numbers is 38 and their difference is 30. What is the smaller number?
  28. 28.The sum of two numbers is 16 and their difference is 12. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  30. 30.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?
  31. 31.One number is 4 times another. Their difference is 30. What is the smaller number?
  32. 32.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?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  34. 34.The sum of two numbers is 37 and their difference is 13. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  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.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 14. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 55. What is the largest of them?

Answer key

  1. 43
  2. 48
  3. 50
  4. 49
  5. 36
  6. 64
  7. 35
  8. 27
  9. 12
  10. 58
  11. 16
  12. 7
  13. 57
  14. 42
  15. 14
  16. 82
  17. 50
  18. 57
  19. 27
  20. 46
  21. 39
  22. 34
  23. 41
  24. 4
  25. 57
  26. 13
  27. 4
  28. 2
  29. 9
  30. 12
  31. 10
  32. 89
  33. 28
  34. 25
  35. 7
  36. 78
  37. 20
  38. 76
  39. 7
  40. 13

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