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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 175 · 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 5 consecutive numbers is 70. What is the largest of them?
  2. 2.The sum of two numbers is 65 and their difference is 39. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 182. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 5 consecutive numbers is 170. What is the largest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 117 and their difference is 47. What is the larger number?
  8. 8.The sum of 3 consecutive numbers is 156. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 135. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 37. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 122. What is the largest of them?
  14. 14.The sum of two numbers is 85 and their difference is 73. What is the smaller number?
  15. 15.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?
  16. 16.The sum of two numbers is 65 and their difference is 29. What is the larger number?
  17. 17.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 78. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 81. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.One number is 3 times another. Their difference is 58. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  23. 23.The sum of two numbers is 48 and their difference is 12. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 8. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 80. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 30. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 31. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 110 and their difference is 40. What is the larger number?
  33. 33.The sum of two numbers is 126 and their difference is 50. What is the larger number?
  34. 34.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?
  35. 35.The sum of two numbers is 26 and their difference is 8. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive even numbers is 140. What is the largest of them?

Answer key

  1. 16
  2. 13
  3. 47
  4. 16
  5. 36
  6. 45
  7. 82
  8. 53
  9. 35
  10. 46
  11. 37
  12. 50
  13. 32
  14. 6
  15. 25
  16. 47
  17. 78
  18. 26
  19. 27
  20. 15
  21. 29
  22. 17
  23. 18
  24. 4
  25. 57
  26. 60
  27. 40
  28. 30
  29. 31
  30. 35
  31. 58
  32. 75
  33. 88
  34. 78
  35. 9
  36. 28
  37. 11
  38. 59
  39. 46
  40. 38

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