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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 439 · 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 44 and their difference is 24. What is the larger number?
  2. 2.One number is 2 times another. Their difference is 3. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 156 and their difference is 32. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 48. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 99. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 230. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 141. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 82. What is the largest of them?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 5. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.The sum of two numbers is 35 and their difference is 19. What is the larger number?
  18. 18.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?
  19. 19.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 39. What is the largest of them?
  23. 23.The sum of two numbers is 87 and their difference is 51. What is the larger number?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  26. 26.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  27. 27.The sum of two numbers is 122 and their difference is 24. What is the larger number?
  28. 28.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?
  29. 29.One number is 2 times another. Their difference is 8. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 70. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 138. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  39. 39.The sum of two numbers is 15 and their difference is 5. What is the larger number?
  40. 40.One number is 2 times another. Their difference is 10. What is the smaller number?

Answer key

  1. 34
  2. 3
  3. 34
  4. 94
  5. 28
  6. 17
  7. 34
  8. 58
  9. 48
  10. 48
  11. 22
  12. 35
  13. 5
  14. 43
  15. 13
  16. 12
  17. 27
  18. 78
  19. 54
  20. 89
  21. 59
  22. 14
  23. 69
  24. 41
  25. 18
  26. 55
  27. 73
  28. 58
  29. 8
  30. 32
  31. 26
  32. 35
  33. 24
  34. 55
  35. 44
  36. 6
  37. 47
  38. 10
  39. 10
  40. 10

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