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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 650 · 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 85 and their difference is 53. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 50. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 87. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 54. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 58. What is the largest of them?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 46. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 9. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  16. 16.The sum of two numbers is 85 and their difference is 33. What is the larger number?
  17. 17.One number is 4 times another. Their difference is 72. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 105. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  21. 21.The sum of two numbers is 35 and their difference is 1. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 200. What is the smaller number?
  23. 23.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?
  24. 24.One number is 5 times another. Their difference is 44. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 60. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  28. 28.One number is 5 times another. Their difference is 124. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of two numbers is 42 and their difference is 20. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  34. 34.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 57. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 160. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.One number is 6 times another. Their difference is 90. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  40. 40.The sum of two numbers is 75 and their difference is 5. What is the larger number?

Answer key

  1. 16
  2. 62
  3. 72
  4. 10
  5. 29
  6. 18
  7. 8
  8. 16
  9. 39
  10. 13
  11. 66
  12. 3
  13. 13
  14. 78
  15. 26
  16. 59
  17. 24
  18. 5
  19. 35
  20. 16
  21. 17
  22. 40
  23. 69
  24. 11
  25. 15
  26. 81
  27. 12
  28. 31
  29. 60
  30. 33
  31. 78
  32. 11
  33. 7
  34. 5
  35. 20
  36. 40
  37. 35
  38. 18
  39. 42
  40. 40

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