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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 252 · 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 7. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of 5 consecutive numbers is 280. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 135. What is the smaller number?
  4. 4.The sum of two numbers is 85 and their difference is 33. What is the larger number?
  5. 5.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  7. 7.The sum of two numbers is 106 and their difference is 68. What is the larger number?
  8. 8.One number is 5 times another. Their difference is 116. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 38 and their difference is 24. What is the larger number?
  13. 13.One number is 3 times another. Their difference is 34. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  16. 16.The sum of two numbers is 22 and their difference is 20. What is the larger number?
  17. 17.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  18. 18.The sum of two numbers is 62 and their difference is 20. What is the larger number?
  19. 19.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 30. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 38. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  23. 23.The sum of two numbers is 78 and their difference is 52. What is the larger number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 275. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 126. What is the largest of them?
  27. 27.The sum of two numbers is 68 and their difference is 50. What is the larger number?
  28. 28.The sum of two numbers is 22 and their difference is 12. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 36. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.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?
  34. 34.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  37. 37.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?
  38. 38.One number is 3 times another. Their difference is 10. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  40. 40.The sum of two numbers is 28 and their difference is 20. What is the larger number?

Answer key

  1. 16
  2. 58
  3. 27
  4. 59
  5. 11
  6. 39
  7. 87
  8. 29
  9. 45
  10. 50
  11. 47
  12. 31
  13. 17
  14. 81
  15. 44
  16. 21
  17. 57
  18. 41
  19. 21
  20. 11
  21. 11
  22. 29
  23. 65
  24. 17
  25. 57
  26. 43
  27. 59
  28. 5
  29. 44
  30. 9
  31. 22
  32. 15
  33. 78
  34. 19
  35. 23
  36. 59
  37. 89
  38. 5
  39. 51
  40. 24

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