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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 98 · 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 31 and their difference is 15. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 132. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  4. 4.The sum of two numbers is 25 and their difference is 7. What is the larger number?
  5. 5.One number is 2 times another. Their difference is 17. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 66. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  10. 10.The sum of two numbers is 16 and their difference is 12. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 160. What is the smaller number?
  12. 12.The sum of two numbers is 79 and their difference is 71. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 72. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  15. 15.The sum of two numbers is 72 and their difference is 2. What is the larger number?
  16. 16.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  17. 17.One number is 2 times another. Their difference is 19. What is the smaller number?
  18. 18.The sum of two numbers is 194 and their difference is 4. What is the smaller number?
  19. 19.The sum of two numbers is 84 and their difference is 76. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 8. What is the smaller number?
  21. 21.The sum of two numbers is 78 and their difference is 46. What is the smaller number?
  22. 22.The sum of two numbers is 44 and their difference is 32. What is the larger number?
  23. 23.The sum of two numbers is 16 and their difference is 14. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  25. 25.The sum of two numbers is 90 and their difference is 4. What is the larger number?
  26. 26.The sum of two numbers is 26 and their difference is 10. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 96. What is the largest of them?
  28. 28.The sum of two numbers is 29 and their difference is 13. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 170. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  35. 35.The sum of two numbers is 127 and their difference is 57. What is the larger number?
  36. 36.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  37. 37.One number is 5 times another. Their difference is 124. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  40. 40.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?

Answer key

  1. 8
  2. 33
  3. 6
  4. 16
  5. 17
  6. 33
  7. 76
  8. 79
  9. 26
  10. 2
  11. 32
  12. 4
  13. 18
  14. 17
  15. 37
  16. 30
  17. 19
  18. 95
  19. 4
  20. 4
  21. 16
  22. 38
  23. 15
  24. 13
  25. 47
  26. 8
  27. 33
  28. 21
  29. 42
  30. 27
  31. 59
  32. 34
  33. 37
  34. 41
  35. 92
  36. 52
  37. 31
  38. 89
  39. 13
  40. 17

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