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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 487 · 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 5 times another. Their difference is 24. What is the smaller number?
  2. 2.The sum of two numbers is 40 and their difference is 6. What is the larger number?
  3. 3.The sum of 4 consecutive numbers is 178. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  5. 5.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?
  6. 6.One number is 6 times another. Their difference is 180. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 6. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 155. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  13. 13.One number is 3 times another. Their difference is 16. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 33. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 50. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 75. What is the largest of them?
  19. 19.The sum of two numbers is 48 and their difference is 22. What is the smaller number?
  20. 20.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?
  21. 21.The sum of two numbers is 74 and their difference is 28. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  23. 23.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 8. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 124. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  28. 28.One number is 3 times another. Their difference is 28. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 16. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 226. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 27. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.One number is 4 times another. Their difference is 75. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 195. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 105. What is the smallest of them?

Answer key

  1. 6
  2. 23
  3. 46
  4. 17
  5. 69
  6. 36
  7. 81
  8. 3
  9. 33
  10. 36
  11. 13
  12. 57
  13. 8
  14. 13
  15. 79
  16. 11
  17. 25
  18. 17
  19. 13
  20. 34
  21. 23
  22. 48
  23. 6
  24. 8
  25. 31
  26. 12
  27. 85
  28. 14
  29. 16
  30. 54
  31. 17
  32. 8
  33. 58
  34. 10
  35. 89
  36. 30
  37. 46
  38. 25
  39. 41
  40. 19

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