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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 916 · 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 4 consecutive odd numbers is 312. What is the largest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  8. 8.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 300. What is the largest of them?
  10. 10.The sum of two numbers is 43 and their difference is 35. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  13. 13.The sum of two numbers is 68 and their difference is 18. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  15. 15.The sum of two numbers is 160 and their difference is 26. What is the smaller number?
  16. 16.One number is 4 times another. Their difference is 114. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 70. What is the largest of them?
  18. 18.One number is 3 times another. Their difference is 72. What is the smaller number?
  19. 19.The sum of two numbers is 122 and their difference is 28. What is the larger number?
  20. 20.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 99. What is the smaller number?
  24. 24.The sum of two numbers is 61 and their difference is 3. What is the larger number?
  25. 25.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  26. 26.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?
  27. 27.One number is 4 times another. Their difference is 66. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 37. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  32. 32.The sum of two numbers is 66 and their difference is 48. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  35. 35.The sum of two numbers is 97 and their difference is 61. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 102. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  38. 38.One number is 6 times another. Their difference is 200. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 42. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 18. What is the smaller number?

Answer key

  1. 81
  2. 46
  3. 45
  4. 55
  5. 14
  6. 89
  7. 80
  8. 25
  9. 62
  10. 39
  11. 15
  12. 42
  13. 25
  14. 36
  15. 67
  16. 38
  17. 19
  18. 36
  19. 75
  20. 35
  21. 67
  22. 42
  23. 33
  24. 32
  25. 80
  26. 59
  27. 22
  28. 49
  29. 22
  30. 37
  31. 58
  32. 9
  33. 45
  34. 68
  35. 18
  36. 27
  37. 7
  38. 40
  39. 12
  40. 9

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