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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 930 · 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 17 and their difference is 3. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  3. 3.The sum of two numbers is 35 and their difference is 1. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 66. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  7. 7.The sum of two numbers is 105 and their difference is 27. What is the larger number?
  8. 8.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  9. 9.The sum of two numbers is 86 and their difference is 34. What is the larger number?
  10. 10.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  11. 11.The sum of two numbers is 43 and their difference is 35. What is the larger number?
  12. 12.One number is 6 times another. Their difference is 165. What is the smaller number?
  13. 13.The sum of two numbers is 75 and their difference is 1. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 72. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 300. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  22. 22.The sum of two numbers is 48 and their difference is 20. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 36. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 62. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 108. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the 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 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?
  33. 33.The sum of 5 consecutive numbers is 175. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  37. 37.The sum of two numbers is 12 and their difference is 10. What is the larger number?
  38. 38.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 36. What is the smaller number?

Answer key

  1. 7
  2. 45
  3. 17
  4. 18
  5. 56
  6. 58
  7. 66
  8. 71
  9. 60
  10. 25
  11. 39
  12. 33
  13. 37
  14. 23
  15. 24
  16. 50
  17. 62
  18. 26
  19. 40
  20. 11
  21. 23
  22. 34
  23. 56
  24. 59
  25. 12
  26. 31
  27. 28
  28. 44
  29. 27
  30. 47
  31. 89
  32. 67
  33. 37
  34. 57
  35. 32
  36. 55
  37. 11
  38. 59
  39. 38
  40. 36

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