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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 887 · 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 odd numbers is 99. What is the largest of them?
  2. 2.The sum of two numbers is 56 and their difference is 2. What is the smaller number?
  3. 3.One number is 6 times another. Their difference is 90. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 62 and their difference is 34. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 160. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.One number is 6 times another. Their difference is 190. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 20. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 60. What is the smaller number?
  14. 14.The sum of two numbers is 20 and their difference is 6. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  16. 16.The sum of two numbers is 191 and their difference is 3. What is the larger number?
  17. 17.One number is 3 times another. Their difference is 14. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 148. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 205. What is the largest 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 98 and their difference is 90. What is the smaller number?
  22. 22.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  25. 25.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  28. 28.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  29. 29.The sum of two numbers is 47 and their difference is 15. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 120. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  33. 33.One number is 5 times another. Their difference is 16. What is the smaller number?
  34. 34.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?
  35. 35.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?
  36. 36.The sum of two numbers is 22 and their difference is 14. What is the larger number?
  37. 37.One number is 2 times another. Their difference is 38. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 132. What is the smallest of them?

Answer key

  1. 35
  2. 27
  3. 18
  4. 89
  5. 14
  6. 34
  7. 25
  8. 38
  9. 29
  10. 20
  11. 59
  12. 50
  13. 20
  14. 7
  15. 63
  16. 97
  17. 7
  18. 37
  19. 43
  20. 25
  21. 4
  22. 2
  23. 36
  24. 31
  25. 66
  26. 43
  27. 31
  28. 2
  29. 16
  30. 26
  31. 15
  32. 24
  33. 4
  34. 46
  35. 78
  36. 18
  37. 38
  38. 8
  39. 72
  40. 30

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