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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 755 · 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 4 consecutive even numbers is 116. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 40. What is the smaller number?
  4. 4.The sum of two numbers is 65 and their difference is 45. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  7. 7.The sum of two numbers is 116 and their difference is 2. What is the smaller number?
  8. 8.The sum of two numbers is 24 and their difference is 8. What is the larger number?
  9. 9.The sum of two numbers is 59 and their difference is 33. What is the larger number?
  10. 10.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 155. What is the largest of them?
  12. 12.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  13. 13.The sum of two numbers is 88 and their difference is 4. What is the smaller number?
  14. 14.The sum of two numbers is 105 and their difference is 35. What is the larger number?
  15. 15.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  16. 16.The sum of two numbers is 76 and their difference is 2. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 54. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 9. What is the smaller number?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of two numbers is 75 and their difference is 37. What is the larger number?
  26. 26.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  27. 27.The sum of two numbers is 168 and their difference is 24. What is the larger number?
  28. 28.One number is 5 times another. Their difference is 44. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 66. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  34. 34.The sum of two numbers is 110 and their difference is 24. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 152. What is the smaller 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 3 consecutive odd numbers is 189. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 82. What is the smallest of them?

Answer key

  1. 32
  2. 56
  3. 40
  4. 10
  5. 15
  6. 73
  7. 57
  8. 16
  9. 46
  10. 14
  11. 33
  12. 68
  13. 42
  14. 70
  15. 59
  16. 37
  17. 15
  18. 19
  19. 32
  20. 25
  21. 25
  22. 9
  23. 89
  24. 68
  25. 56
  26. 68
  27. 96
  28. 11
  29. 29
  30. 33
  31. 33
  32. 12
  33. 15
  34. 43
  35. 38
  36. 69
  37. 65
  38. 11
  39. 56
  40. 19

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