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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 85 · 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 29 and their difference is 11. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 23. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 15. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 90. What is the largest of them?
  5. 5.The sum of two numbers is 108 and their difference is 32. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 123. What is the largest of them?
  7. 7.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 33. What is the smaller number?
  9. 9.The sum of two numbers is 26 and their difference is 18. What is the smaller number?
  10. 10.The sum of two numbers is 69 and their difference is 51. What is the larger number?
  11. 11.The sum of two numbers is 104 and their difference is 40. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  15. 15.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?
  16. 16.One number is 3 times another. Their difference is 6. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  18. 18.The sum of two numbers is 16 and their difference is 4. What is the larger number?
  19. 19.The sum of two numbers is 131 and their difference is 37. What is the larger number?
  20. 20.One number is 5 times another. Their difference is 40. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 74. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 135. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 122. What is the largest of them?
  25. 25.The sum of two numbers is 109 and their difference is 25. What is the larger number?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of 5 consecutive numbers is 285. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 34. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  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 4 consecutive numbers is 34. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 50. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 40. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  36. 36.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?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 70. What is the smallest of them?

Answer key

  1. 9
  2. 23
  3. 15
  4. 20
  5. 70
  6. 42
  7. 52
  8. 33
  9. 4
  10. 60
  11. 32
  12. 39
  13. 30
  14. 27
  15. 69
  16. 3
  17. 20
  18. 10
  19. 84
  20. 10
  21. 20
  22. 40
  23. 27
  24. 32
  25. 67
  26. 67
  27. 59
  28. 28
  29. 17
  30. 59
  31. 78
  32. 7
  33. 14
  34. 8
  35. 17
  36. 25
  37. 15
  38. 28
  39. 15
  40. 12

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