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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 639 · 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 14. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.The sum of two numbers is 44 and their difference is 20. What is the larger number?
  5. 5.The sum of two numbers is 41 and their difference is 35. What is the smaller number?
  6. 6.One number is 5 times another. Their difference is 160. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 50. What is the smaller number?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 35. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  15. 15.The sum of two numbers is 81 and their difference is 23. What is the smaller number?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  18. 18.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  19. 19.The sum of two numbers is 122 and their difference is 8. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 147. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 32. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  25. 25.One number is 3 times another. Their difference is 68. What is the smaller number?
  26. 26.The sum of two numbers is 132 and their difference is 2. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 23. What is the smaller number?
  31. 31.The sum of two numbers is 28 and their difference is 24. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  33. 33.The sum of two numbers is 79 and their difference is 27. What is the larger number?
  34. 34.The sum of two numbers is 167 and their difference is 3. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 128. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 36. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 159. What is the largest of them?

Answer key

  1. 59
  2. 33
  3. 47
  4. 32
  5. 3
  6. 40
  7. 7
  8. 46
  9. 46
  10. 40
  11. 10
  12. 78
  13. 35
  14. 31
  15. 29
  16. 27
  17. 29
  18. 61
  19. 57
  20. 18
  21. 50
  22. 23
  23. 8
  24. 81
  25. 34
  26. 65
  27. 89
  28. 24
  29. 10
  30. 23
  31. 2
  32. 15
  33. 53
  34. 82
  35. 32
  36. 69
  37. 37
  38. 13
  39. 43
  40. 55

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