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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 314 · 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.One number is 2 times another. Their difference is 17. What is the smaller number?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 72. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 60. What is the largest of them?
  7. 7.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 18. What is the smaller number?
  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 sum of two numbers is 126 and their difference is 30. What is the smaller number?
  11. 11.The sum of two numbers is 43 and their difference is 21. What is the larger number?
  12. 12.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  13. 13.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?
  14. 14.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of 4 consecutive numbers is 222. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 105. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 51. What is the largest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 83 and their difference is 43. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 11. What is the smaller number?
  29. 29.The sum of two numbers is 53 and their difference is 17. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 39 and their difference is 11. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 52. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 8. What is the smaller number?
  36. 36.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?
  37. 37.The sum of two numbers is 59 and their difference is 11. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 138. What is the largest of them?
  39. 39.The sum of two numbers is 65 and their difference is 51. What is the larger number?
  40. 40.The sum of two numbers is 51 and their difference is 31. What is the larger number?

Answer key

  1. 17
  2. 56
  3. 36
  4. 20
  5. 14
  6. 14
  7. 78
  8. 18
  9. 89
  10. 48
  11. 32
  12. 47
  13. 17
  14. 36
  15. 26
  16. 76
  17. 6
  18. 10
  19. 12
  20. 57
  21. 48
  22. 36
  23. 18
  24. 29
  25. 20
  26. 35
  27. 7
  28. 11
  29. 18
  30. 38
  31. 69
  32. 14
  33. 14
  34. 13
  35. 4
  36. 78
  37. 35
  38. 47
  39. 58
  40. 41

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