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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 101 · 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 110 and their difference is 22. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 200. What is the largest 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 18. What is the number?
  5. 5.One number is 5 times another. Their difference is 56. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  8. 8.The sum of two numbers is 111 and their difference is 49. What is the larger number?
  9. 9.One number is 3 times another. Their difference is 72. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  13. 13.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?
  14. 14.The sum of two numbers is 60 and their difference is 28. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 210. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 125. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 11. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 235. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 76. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 26. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 141. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 7. What is the smaller number?
  26. 26.The sum of two numbers is 86 and their difference is 78. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 38. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 62. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 80. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 255. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  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.One number is 2 times another. Their difference is 12. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 56. What is the smaller number?

Answer key

  1. 44
  2. 89
  3. 53
  4. 57
  5. 14
  6. 30
  7. 51
  8. 80
  9. 36
  10. 37
  11. 24
  12. 8
  13. 25
  14. 16
  15. 44
  16. 27
  17. 7
  18. 76
  19. 34
  20. 11
  21. 49
  22. 19
  23. 26
  24. 48
  25. 7
  26. 4
  27. 25
  28. 66
  29. 43
  30. 19
  31. 31
  32. 68
  33. 53
  34. 18
  35. 53
  36. 33
  37. 14
  38. 12
  39. 52
  40. 28

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