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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 377 · 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 4 times another. Their difference is 78. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  3. 3.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?
  4. 4.The sum of two numbers is 21 and their difference is 1. What is the larger number?
  5. 5.The sum of two numbers is 25 and their difference is 13. What is the smaller number?
  6. 6.The sum of two numbers is 120 and their difference is 30. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  8. 8.The sum of two numbers is 76 and their difference is 26. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 7. What is the smaller number?
  10. 10.The sum of two numbers is 29 and their difference is 15. What is the larger number?
  11. 11.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  13. 13.The sum of two numbers is 112 and their difference is 14. What is the larger number?
  14. 14.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 9. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 178. What is the largest of them?
  18. 18.The sum of two numbers is 37 and their difference is 33. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 27. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 3 consecutive numbers is 171. What is the largest of them?
  22. 22.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?
  23. 23.One number is 3 times another. Their difference is 58. What is the smaller number?
  24. 24.The sum of two numbers is 33 and their difference is 5. What is the larger number?
  25. 25.The sum of two numbers is 44 and their difference is 26. What is the smaller number?
  26. 26.The sum of two numbers is 133 and their difference is 59. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  29. 29.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  31. 31.One number is 4 times another. Their difference is 114. What is the smaller number?
  32. 32.The sum of two numbers is 38 and their difference is 26. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 30. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 95. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 15. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  37. 37.One number is 2 times another. Their difference is 22. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 16. What is the smaller number?
  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 two numbers is 22 and their difference is 16. What is the smaller number?

Answer key

  1. 26
  2. 49
  3. 16
  4. 11
  5. 6
  6. 75
  7. 48
  8. 25
  9. 7
  10. 22
  11. 27
  12. 17
  13. 63
  14. 17
  15. 9
  16. 16
  17. 46
  18. 2
  19. 9
  20. 36
  21. 58
  22. 49
  23. 29
  24. 19
  25. 9
  26. 96
  27. 11
  28. 42
  29. 72
  30. 47
  31. 38
  32. 32
  33. 9
  34. 21
  35. 5
  36. 16
  37. 22
  38. 4
  39. 46
  40. 3

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