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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 970 · 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 5 consecutive numbers is 80. What is the largest of them?
  2. 2.The sum of two numbers is 25 and their difference is 13. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 33. What is the largest of them?
  5. 5.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?
  6. 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 190. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 42. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 75. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 4 times another. Their difference is 24. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  19. 19.One number is 6 times another. Their difference is 105. What is the smaller number?
  20. 20.The sum of two numbers is 32 and their difference is 12. What is the larger number?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.The sum of two numbers is 51 and their difference is 25. What is the smaller number?
  23. 23.The sum of two numbers is 70 and their difference is 30. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 46. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  30. 30.The sum of two numbers is 24 and their difference is 2. What is the larger number?
  31. 31.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?
  32. 32.One number is 4 times another. Their difference is 72. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 255. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 28. What is the smaller number?
  35. 35.The sum of two numbers is 34 and their difference is 18. What is the larger number?
  36. 36.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?
  37. 37.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  38. 38.The sum of two numbers is 102 and their difference is 16. What is the larger number?
  39. 39.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  40. 40.The sum of two numbers is 54 and their difference is 32. What is the larger number?

Answer key

  1. 18
  2. 6
  3. 6
  4. 12
  5. 18
  6. 37
  7. 9
  8. 34
  9. 34
  10. 40
  11. 52
  12. 12
  13. 21
  14. 26
  15. 54
  16. 29
  17. 8
  18. 59
  19. 21
  20. 22
  21. 46
  22. 13
  23. 20
  24. 13
  25. 13
  26. 30
  27. 24
  28. 10
  29. 15
  30. 13
  31. 58
  32. 24
  33. 53
  34. 14
  35. 26
  36. 89
  37. 31
  38. 59
  39. 32
  40. 43

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