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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 952 · 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 41 and their difference is 17. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  3. 3.One number is 5 times another. Their difference is 36. What is the smaller number?
  4. 4.The sum of two numbers is 47 and their difference is 5. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 141. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  8. 8.The sum of two numbers is 136 and their difference is 28. What is the larger number?
  9. 9.One number is 6 times another. Their difference is 55. What is the smaller number?
  10. 10.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?
  11. 11.The sum of two numbers is 43 and their difference is 7. What is the larger number?
  12. 12.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?
  13. 13.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  14. 14.One number is 3 times another. Their difference is 22. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 153. What is the largest of them?
  16. 16.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?
  17. 17.One number is 5 times another. Their difference is 96. What is the smaller number?
  18. 18.The sum of two numbers is 44 and their difference is 12. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 39. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 220. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 134. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 190. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  28. 28.The sum of two numbers is 126 and their difference is 18. What is the smaller number?
  29. 29.One number is 3 times another. Their difference is 16. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 123. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 82. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  35. 35.The sum of two numbers is 90 and their difference is 60. What is the smaller number?
  36. 36.The sum of two numbers is 139 and their difference is 53. What is the larger number?
  37. 37.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  38. 38.One number is 6 times another. Their difference is 100. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  40. 40.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?

Answer key

  1. 12
  2. 28
  3. 9
  4. 21
  5. 48
  6. 59
  7. 9
  8. 82
  9. 11
  10. 78
  11. 25
  12. 89
  13. 49
  14. 11
  15. 52
  16. 48
  17. 24
  18. 16
  19. 6
  20. 39
  21. 46
  22. 35
  23. 32
  24. 49
  25. 37
  26. 23
  27. 26
  28. 54
  29. 8
  30. 42
  31. 18
  32. 57
  33. 22
  34. 43
  35. 15
  36. 96
  37. 19
  38. 20
  39. 7
  40. 69

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