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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 861 · 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 4 consecutive even numbers is 36. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  3. 3.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.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?
  7. 7.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  9. 9.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?
  10. 10.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?
  11. 11.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of two numbers is 64 and their difference is 52. What is the larger number?
  13. 13.One number is 3 times another. Their difference is 16. What is the smaller number?
  14. 14.The sum of two numbers is 101 and their difference is 7. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 72. What is the largest of them?
  17. 17.One number is 2 times another. Their difference is 28. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 3 consecutive numbers is 180. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 11. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  24. 24.The sum of two numbers is 51 and their difference is 33. What is the smaller number?
  25. 25.The sum of two numbers is 11 and their difference is 9. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 32. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  30. 30.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?
  31. 31.One number is 4 times another. Their difference is 99. What is the smaller number?
  32. 32.The sum of two numbers is 58 and their difference is 28. What is the smaller number?
  33. 33.One number is 4 times another. Their difference is 60. What is the smaller number?
  34. 34.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?
  35. 35.The sum of two numbers is 34 and their difference is 16. What is the larger number?
  36. 36.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?
  37. 37.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?
  38. 38.One number is 3 times another. Their difference is 44. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 50. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 72. What is the largest of them?

Answer key

  1. 6
  2. 19
  3. 24
  4. 59
  5. 67
  6. 56
  7. 33
  8. 56
  9. 89
  10. 35
  11. 13
  12. 58
  13. 8
  14. 47
  15. 21
  16. 25
  17. 28
  18. 13
  19. 58
  20. 61
  21. 11
  22. 56
  23. 37
  24. 9
  25. 1
  26. 40
  27. 8
  28. 14
  29. 57
  30. 68
  31. 33
  32. 15
  33. 20
  34. 78
  35. 25
  36. 69
  37. 29
  38. 22
  39. 14
  40. 26

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