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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 939 · 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 two numbers is 11 and their difference is 9. What is the larger number?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  4. 4.The sum of two numbers is 19 and their difference is 3. What is the larger number?
  5. 5.One number is 2 times another. Their difference is 19. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 10. What is the smaller number?
  9. 9.The sum of two numbers is 88 and their difference is 20. What is the larger number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 110. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 62. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 78. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 38. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 50. What is the smaller number?
  16. 16.The sum of two numbers is 74 and their difference is 62. What is the smaller number?
  17. 17.The sum of two numbers is 27 and their difference is 21. What is the larger number?
  18. 18.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  19. 19.The sum of two numbers is 163 and their difference is 29. What is the larger number?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive numbers is 146. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 174. What is the largest of them?
  27. 27.The sum of two numbers is 119 and their difference is 37. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of two numbers is 71 and their difference is 19. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 22. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 58. What is the smaller number?
  35. 35.The sum of two numbers is 23 and their difference is 21. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 34. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 250. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 156. What is the largest of them?

Answer key

  1. 10
  2. 78
  3. 20
  4. 11
  5. 19
  6. 68
  7. 77
  8. 5
  9. 54
  10. 56
  11. 22
  12. 17
  13. 27
  14. 11
  15. 10
  16. 6
  17. 24
  18. 61
  19. 96
  20. 28
  21. 23
  22. 67
  23. 59
  24. 35
  25. 38
  26. 45
  27. 41
  28. 57
  29. 69
  30. 23
  31. 79
  32. 45
  33. 22
  34. 29
  35. 1
  36. 30
  37. 17
  38. 52
  39. 12
  40. 54

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