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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 677 · 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 5 consecutive numbers is 205. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  3. 3.The sum of two numbers is 106 and their difference is 6. What is the larger number?
  4. 4.The sum of 3 consecutive numbers is 105. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  6. 6.One number is 6 times another. Their difference is 40. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of two numbers is 38 and their difference is 8. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 285. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  19. 19.One number is 6 times another. Their difference is 120. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 234. What is the largest of them?
  21. 21.One number is 4 times another. Their difference is 21. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 148 and their difference is 4. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 150. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 16. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 105. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  30. 30.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  31. 31.The sum of 3 consecutive numbers is 126. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 36. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  35. 35.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?
  36. 36.One number is 2 times another. Their difference is 28. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 44. What is the smaller number?

Answer key

  1. 39
  2. 51
  3. 56
  4. 36
  5. 37
  6. 8
  7. 49
  8. 34
  9. 36
  10. 75
  11. 25
  12. 57
  13. 23
  14. 59
  15. 56
  16. 26
  17. 56
  18. 47
  19. 24
  20. 60
  21. 7
  22. 78
  23. 72
  24. 32
  25. 30
  26. 16
  27. 45
  28. 23
  29. 38
  30. 52
  31. 43
  32. 32
  33. 36
  34. 13
  35. 89
  36. 28
  37. 14
  38. 12
  39. 54
  40. 22

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