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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 703 · 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 numbers is 206. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 86 and their difference is 28. What is the larger number?
  6. 6.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  7. 7.One number is 4 times another. Their difference is 96. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 50 and their difference is 10. What is the larger number?
  10. 10.One number is 5 times another. Their difference is 36. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 185. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 66. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  15. 15.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?
  16. 16.One number is 3 times another. Their difference is 6. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 235. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 42. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 66. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 9. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  28. 28.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?
  29. 29.One number is 5 times another. Their difference is 48. What is the smaller number?
  30. 30.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?
  31. 31.One number is 6 times another. Their difference is 65. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  33. 33.The sum of two numbers is 45 and their difference is 33. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 20. What is the smaller number?
  35. 35.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?
  36. 36.One number is 6 times another. Their difference is 110. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  39. 39.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.One number is 4 times another. Their difference is 99. What is the smaller number?

Answer key

  1. 50
  2. 59
  3. 45
  4. 48
  5. 57
  6. 38
  7. 32
  8. 67
  9. 30
  10. 9
  11. 39
  12. 42
  13. 22
  14. 14
  15. 25
  16. 3
  17. 49
  18. 12
  19. 85
  20. 10
  21. 18
  22. 47
  23. 9
  24. 41
  25. 48
  26. 16
  27. 60
  28. 56
  29. 12
  30. 14
  31. 13
  32. 51
  33. 39
  34. 20
  35. 13
  36. 22
  37. 78
  38. 65
  39. 38
  40. 33

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