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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 713 · 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 3 consecutive odd numbers is 51. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  4. 4.The sum of two numbers is 29 and their difference is 23. What is the larger number?
  5. 5.The sum of two numbers is 59 and their difference is 5. What is the larger number?
  6. 6.The sum of two numbers is 91 and their difference is 11. What is the larger number?
  7. 7.The sum of 3 consecutive numbers is 102. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 280. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  10. 10.The sum of two numbers is 128 and their difference is 54. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 6. What is the smaller number?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of two numbers is 45 and their difference is 13. What is the larger number?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 93. What is the smaller number?
  17. 17.The sum of two numbers is 92 and their difference is 52. What is the larger number?
  18. 18.The sum of two numbers is 114 and their difference is 10. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 183. What is the largest of them?
  21. 21.The sum of two numbers is 39 and their difference is 29. What is the larger number?
  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 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?
  24. 24.One number is 3 times another. Their difference is 48. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 215. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 120. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 54. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 120. What is the smaller number?
  31. 31.The sum of two numbers is 63 and their difference is 45. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  33. 33.One number is 4 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 32. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 37. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 35. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 69 and their difference is 19. What is the smaller number?
  40. 40.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?

Answer key

  1. 15
  2. 18
  3. 83
  4. 26
  5. 32
  6. 51
  7. 35
  8. 58
  9. 35
  10. 37
  11. 6
  12. 17
  13. 24
  14. 29
  15. 14
  16. 31
  17. 72
  18. 52
  19. 71
  20. 62
  21. 34
  22. 29
  23. 34
  24. 24
  25. 45
  26. 26
  27. 45
  28. 65
  29. 27
  30. 30
  31. 9
  32. 17
  33. 8
  34. 49
  35. 16
  36. 37
  37. 35
  38. 25
  39. 25
  40. 78

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