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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 351 · 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 145. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 250. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  6. 6.The sum of two numbers is 118 and their difference is 40. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  8. 8.The sum of two numbers is 18 and their difference is 2. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 65 and their difference is 35. What is the smaller number?
  11. 11.The sum of two numbers is 22 and their difference is 16. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 87. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 205. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 35. What is the smaller number?
  17. 17.The sum of two numbers is 43 and their difference is 11. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 25. What is the smaller number?
  21. 21.The sum of two numbers is 70 and their difference is 18. What is the smaller number?
  22. 22.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?
  23. 23.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?
  24. 24.One number is 4 times another. Their difference is 42. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  27. 27.The sum of two numbers is 104 and their difference is 16. What is the larger number?
  28. 28.The sum of two numbers is 50 and their difference is 30. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 82. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  31. 31.One number is 4 times another. Their difference is 75. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 60. What is the smaller number?
  33. 33.The sum of two numbers is 102 and their difference is 18. What is the smaller number?
  34. 34.The sum of two numbers is 191 and their difference is 3. What is the larger number?
  35. 35.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?
  36. 36.The digits of a two-digit number add up to 11. 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 9. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.The sum of two numbers is 99 and their difference is 19. What is the larger number?
  39. 39.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  40. 40.The sum of two numbers is 53 and their difference is 51. What is the larger number?

Answer key

  1. 31
  2. 52
  3. 89
  4. 31
  5. 42
  6. 79
  7. 44
  8. 8
  9. 26
  10. 15
  11. 3
  12. 29
  13. 15
  14. 43
  15. 22
  16. 35
  17. 16
  18. 31
  19. 39
  20. 25
  21. 26
  22. 23
  23. 13
  24. 14
  25. 46
  26. 53
  27. 60
  28. 40
  29. 22
  30. 59
  31. 25
  32. 12
  33. 42
  34. 97
  35. 68
  36. 47
  37. 45
  38. 59
  39. 51
  40. 52

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