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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 243 · 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 3 consecutive numbers is 84. What is the smallest of them?
  2. 2.The sum of two numbers is 36 and their difference is 24. What is the larger number?
  3. 3.The sum of two numbers is 88 and their difference is 38. What is the smaller number?
  4. 4.One number is 6 times another. Their difference is 90. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 234. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 15. What is the smaller number?
  8. 8.The sum of two numbers is 121 and their difference is 43. What is the larger number?
  9. 9.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?
  10. 10.One number is 4 times another. Their difference is 72. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 56. What is the smaller number?
  13. 13.The sum of two numbers is 86 and their difference is 28. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 150. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 162. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  17. 17.The sum of two numbers is 115 and their difference is 59. What is the larger number?
  18. 18.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?
  19. 19.The sum of two numbers is 139 and their difference is 49. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 8. What is the smaller number?
  22. 22.The sum of two numbers is 26 and their difference is 16. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 220. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 28. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 36. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 102. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 50. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 46. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 16. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 7. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 182. What is the largest of them?

Answer key

  1. 27
  2. 30
  3. 25
  4. 18
  5. 28
  6. 60
  7. 15
  8. 82
  9. 67
  10. 24
  11. 52
  12. 14
  13. 57
  14. 32
  15. 55
  16. 71
  17. 87
  18. 89
  19. 45
  20. 31
  21. 8
  22. 5
  23. 46
  24. 56
  25. 29
  26. 28
  27. 36
  28. 75
  29. 35
  30. 21
  31. 14
  32. 13
  33. 41
  34. 9
  35. 16
  36. 7
  37. 39
  38. 7
  39. 38
  40. 47

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