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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 927 · 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 5. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of two numbers is 112 and their difference is 74. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  4. 4.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  5. 5.The sum of two numbers is 145 and their difference is 25. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 20. What is the smaller number?
  7. 7.The sum of two numbers is 76 and their difference is 70. What is the larger number?
  8. 8.The sum of two numbers is 87 and their difference is 5. What is the larger number?
  9. 9.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  10. 10.The sum of two numbers is 81 and their difference is 41. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  13. 13.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?
  14. 14.One number is 3 times another. Their difference is 60. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 39. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  20. 20.The sum of two numbers is 85 and their difference is 17. What is the larger number?
  21. 21.One number is 5 times another. Their difference is 160. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 11. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 116. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 108. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 90. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 202. What is the largest of them?
  29. 29.One number is 5 times another. Their difference is 124. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 74. What is the smaller number?
  34. 34.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?
  35. 35.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the 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 two numbers is 14 and their difference is 12. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 17. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 39. What is the largest of them?

Answer key

  1. 14
  2. 19
  3. 12
  4. 79
  5. 60
  6. 4
  7. 73
  8. 46
  9. 36
  10. 20
  11. 24
  12. 51
  13. 67
  14. 30
  15. 39
  16. 13
  17. 37
  18. 46
  19. 71
  20. 51
  21. 40
  22. 14
  23. 13
  24. 11
  25. 29
  26. 36
  27. 20
  28. 52
  29. 31
  30. 46
  31. 56
  32. 29
  33. 37
  34. 79
  35. 38
  36. 69
  37. 1
  38. 50
  39. 17
  40. 15

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