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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 585 · 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 30 and their difference is 10. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 105. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 26. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 33. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 198. What is the largest of them?
  7. 7.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?
  8. 8.One number is 5 times another. Their difference is 144. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 96. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 14. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  14. 14.The sum of two numbers is 20 and their difference is 4. What is the larger number?
  15. 15.One number is 2 times another. Their difference is 38. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive numbers is 129. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 210. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 84. What is the largest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 77 and their difference is 61. What is the larger number?
  28. 28.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 275. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 27. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  33. 33.The sum of two numbers is 49 and their difference is 31. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 305. What is the largest of them?
  36. 36.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?
  37. 37.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?
  38. 38.The sum of 3 consecutive numbers is 102. What is the largest of them?
  39. 39.One number is 5 times another. Their difference is 64. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 45. What is the smaller number?

Answer key

  1. 10
  2. 21
  3. 13
  4. 33
  5. 73
  6. 51
  7. 48
  8. 36
  9. 76
  10. 24
  11. 7
  12. 41
  13. 34
  14. 12
  15. 38
  16. 14
  17. 16
  18. 38
  19. 13
  20. 44
  21. 21
  22. 54
  23. 20
  24. 74
  25. 29
  26. 34
  27. 69
  28. 8
  29. 57
  30. 9
  31. 89
  32. 30
  33. 40
  34. 28
  35. 63
  36. 58
  37. 59
  38. 35
  39. 16
  40. 9

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