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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 987 · 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 3 consecutive numbers is 39. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 117. What is the largest of them?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.The sum of 3 consecutive numbers is 105. What is the largest of them?
  10. 10.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 310. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 180. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 88. What is the smaller number?
  14. 14.The sum of two numbers is 49 and their difference is 39. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 100. What is the largest of them?
  16. 16.The sum of two numbers is 32 and their difference is 18. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 280. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 38. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 6 times another. Their difference is 185. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 20. What is the smaller number?
  27. 27.The sum of two numbers is 27 and their difference is 11. What is the smaller number?
  28. 28.The sum of two numbers is 97 and their difference is 25. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 120. What is the largest of them?
  34. 34.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?
  35. 35.The sum of two numbers is 43 and their difference is 25. What is the larger number?
  36. 36.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?
  37. 37.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 156. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 81. What is the largest of them?

Answer key

  1. 12
  2. 33
  3. 46
  4. 13
  5. 40
  6. 89
  7. 59
  8. 36
  9. 36
  10. 51
  11. 64
  12. 36
  13. 22
  14. 5
  15. 22
  16. 7
  17. 79
  18. 50
  19. 58
  20. 19
  21. 20
  22. 49
  23. 56
  24. 37
  25. 17
  26. 5
  27. 8
  28. 36
  29. 17
  30. 58
  31. 57
  32. 45
  33. 26
  34. 17
  35. 34
  36. 23
  37. 44
  38. 8
  39. 39
  40. 29

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