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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 637 · 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 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?
  2. 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.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?
  4. 4.One number is 3 times another. Their difference is 72. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 128. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.One number is 2 times another. Their difference is 28. What is the smaller number?
  8. 8.The sum of two numbers is 151 and their difference is 17. What is the smaller number?
  9. 9.The sum of two numbers is 25 and their difference is 15. What is the larger number?
  10. 10.One number is 3 times another. Their difference is 8. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of two numbers is 97 and their difference is 93. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 28. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 130. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  20. 20.The sum of two numbers is 45 and their difference is 15. What is the larger number?
  21. 21.The sum of two numbers is 34 and their difference is 2. What is the larger number?
  22. 22.The sum of two numbers is 82 and their difference is 60. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 5 consecutive numbers is 195. What is the largest of them?
  27. 27.The sum of two numbers is 19 and their difference is 5. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  29. 29.The sum of two numbers is 40 and their difference is 4. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 75. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  36. 36.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 108. What is the largest of them?
  38. 38.The sum of two numbers is 52 and their difference is 12. What is the larger number?
  39. 39.One number is 2 times another. Their difference is 15. What is the smaller number?
  40. 40.The sum of two numbers is 126 and their difference is 2. What is the larger number?

Answer key

  1. 24
  2. 56
  3. 79
  4. 36
  5. 32
  6. 69
  7. 28
  8. 67
  9. 20
  10. 4
  11. 89
  12. 68
  13. 2
  14. 18
  15. 14
  16. 45
  17. 32
  18. 34
  19. 47
  20. 30
  21. 18
  22. 11
  23. 79
  24. 15
  25. 34
  26. 41
  27. 7
  28. 76
  29. 22
  30. 17
  31. 61
  32. 41
  33. 78
  34. 71
  35. 83
  36. 69
  37. 37
  38. 32
  39. 15
  40. 64

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