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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 250 · 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 113 and their difference is 25. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.One number is 3 times another. Their difference is 42. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  7. 7.The sum of two numbers is 28 and their difference is 24. What is the larger number?
  8. 8.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 265. What is the largest of them?
  11. 11.The sum of two numbers is 65 and their difference is 61. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of two numbers is 89 and their difference is 19. What is the larger number?
  15. 15.The sum of 3 consecutive numbers is 147. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.One number is 3 times another. Their difference is 6. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 32. What is the smaller number?
  20. 20.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?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  22. 22.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  23. 23.The sum of two numbers is 113 and their difference is 37. What is the larger number?
  24. 24.The sum of 3 consecutive numbers is 60. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 45. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  28. 28.One number is 4 times another. Their difference is 12. What is the smaller number?
  29. 29.The sum of two numbers is 89 and their difference is 51. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  31. 31.The sum of two numbers is 48 and their difference is 32. What is the larger number?
  32. 32.One number is 2 times another. Their difference is 12. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 36. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 120. What is the smaller number?
  35. 35.The sum of two numbers is 93 and their difference is 9. What is the smaller number?
  36. 36.The sum of two numbers is 34 and their difference is 4. What is the larger number?
  37. 37.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 26. What is the smaller number?
  39. 39.The sum of two numbers is 54 and their difference is 30. What is the larger number?
  40. 40.One number is 5 times another. Their difference is 144. What is the smaller number?

Answer key

  1. 44
  2. 50
  3. 45
  4. 21
  5. 24
  6. 44
  7. 26
  8. 41
  9. 81
  10. 55
  11. 2
  12. 59
  13. 57
  14. 54
  15. 50
  16. 24
  17. 3
  18. 42
  19. 8
  20. 79
  21. 19
  22. 73
  23. 75
  24. 21
  25. 11
  26. 43
  27. 59
  28. 4
  29. 19
  30. 20
  31. 40
  32. 12
  33. 36
  34. 24
  35. 42
  36. 19
  37. 13
  38. 26
  39. 42
  40. 36

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