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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 615 · 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.One number is 2 times another. Their difference is 16. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  3. 3.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  4. 4.One number is 4 times another. Their difference is 42. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 58. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 66. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 94. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 30. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 120. What is the smaller number?
  14. 14.The sum of two numbers is 110 and their difference is 60. What is the smaller number?
  15. 15.The sum of two numbers is 62 and their difference is 20. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 98. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 5. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  20. 20.The sum of two numbers is 99 and their difference is 53. What is the larger number?
  21. 21.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?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 126. What is the smallest 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 45. What is the number?
  25. 25.The sum of 5 consecutive numbers is 165. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  28. 28.The sum of two numbers is 31 and their difference is 3. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 68. What is the smaller number?
  30. 30.The sum of two numbers is 95 and their difference is 17. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.One number is 4 times another. Their difference is 90. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 290. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 226. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 50. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 129. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 32. What is the smaller number?

Answer key

  1. 16
  2. 8
  3. 30
  4. 14
  5. 9
  6. 29
  7. 22
  8. 68
  9. 25
  10. 69
  11. 43
  12. 15
  13. 30
  14. 25
  15. 21
  16. 18
  17. 26
  18. 5
  19. 72
  20. 76
  21. 17
  22. 34
  23. 30
  24. 38
  25. 35
  26. 47
  27. 42
  28. 14
  29. 17
  30. 56
  31. 81
  32. 58
  33. 30
  34. 60
  35. 58
  36. 33
  37. 25
  38. 44
  39. 7
  40. 16

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