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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 456 · 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 140. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 190. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 81. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 145. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  9. 9.The sum of two numbers is 73 and their difference is 33. What is the larger number?
  10. 10.The sum of two numbers is 47 and their difference is 3. What is the larger number?
  11. 11.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  12. 12.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.One number is 5 times another. Their difference is 132. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 37. What is the smaller number?
  17. 17.The sum of two numbers is 61 and their difference is 13. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 160. What is the largest of them?
  20. 20.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 7. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 36. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  28. 28.The sum of two numbers is 88 and their difference is 16. What is the smaller number?
  29. 29.The sum of two numbers is 38 and their difference is 18. What is the larger number?
  30. 30.One number is 4 times another. Their difference is 21. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 24. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 18. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 12. What is the smaller number?
  34. 34.The sum of two numbers is 82 and their difference is 26. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  37. 37.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
  38. 38.The sum of two numbers is 73 and their difference is 13. What is the smaller number?
  39. 39.The sum of two numbers is 44 and their difference is 38. What is the smaller number?
  40. 40.The sum of two numbers is 132 and their difference is 66. What is the smaller number?

Answer key

  1. 26
  2. 40
  3. 28
  4. 32
  5. 47
  6. 78
  7. 31
  8. 41
  9. 53
  10. 25
  11. 16
  12. 15
  13. 33
  14. 67
  15. 46
  16. 37
  17. 37
  18. 7
  19. 34
  20. 44
  21. 54
  22. 7
  23. 31
  24. 13
  25. 46
  26. 57
  27. 49
  28. 36
  29. 28
  30. 7
  31. 24
  32. 18
  33. 6
  34. 28
  35. 73
  36. 29
  37. 4
  38. 30
  39. 3
  40. 33

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