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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 481 · 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 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?
  2. 2.The sum of 4 consecutive numbers is 134. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  4. 4.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?
  5. 5.One number is 4 times another. Their difference is 78. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 108. What is the largest of them?
  7. 7.One number is 6 times another. Their difference is 125. What is the smaller number?
  8. 8.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?
  9. 9.One number is 2 times another. Their difference is 9. What is the smaller number?
  10. 10.The sum of two numbers is 102 and their difference is 92. What is the larger number?
  11. 11.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  12. 12.The sum of two numbers is 32 and their difference is 2. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  16. 16.The sum of two numbers is 70 and their difference is 6. What is the smaller number?
  17. 17.The sum of two numbers is 71 and their difference is 23. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  20. 20.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.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?
  24. 24.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 42. What is the smaller number?
  26. 26.The sum of two numbers is 16 and their difference is 12. What is the larger number?
  27. 27.One number is 6 times another. Their difference is 135. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.The sum of two numbers is 36 and their difference is 8. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 6. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  32. 32.The sum of 5 consecutive numbers is 245. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  35. 35.The sum of two numbers is 52 and their difference is 40. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 210. What is the largest of them?
  38. 38.The sum of two numbers is 95 and their difference is 13. What is the smaller number?
  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.The sum of 4 consecutive odd numbers is 208. What is the largest of them?

Answer key

  1. 47
  2. 35
  3. 25
  4. 89
  5. 26
  6. 37
  7. 25
  8. 68
  9. 9
  10. 97
  11. 25
  12. 15
  13. 57
  14. 49
  15. 80
  16. 32
  17. 24
  18. 49
  19. 17
  20. 69
  21. 72
  22. 35
  23. 25
  24. 62
  25. 21
  26. 14
  27. 27
  28. 28
  29. 14
  30. 6
  31. 18
  32. 51
  33. 56
  34. 37
  35. 6
  36. 55
  37. 44
  38. 41
  39. 38
  40. 55

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