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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 932 · 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 two numbers is 56 and their difference is 16. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  4. 4.One number is 2 times another. Their difference is 32. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  8. 8.The sum of two numbers is 117 and their difference is 27. What is the larger number?
  9. 9.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?
  10. 10.The sum of 3 consecutive numbers is 75. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 124. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  15. 15.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?
  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.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 11. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 117. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 132. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 66. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  27. 27.The sum of two numbers is 38 and their difference is 6. What is the larger number?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  29. 29.The sum of two numbers is 16 and their difference is 14. What is the larger number?
  30. 30.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  34. 34.The sum of two numbers is 117 and their difference is 53. What is the smaller number?
  35. 35.The sum of two numbers is 38 and their difference is 10. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  37. 37.The sum of two numbers is 159 and their difference is 19. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 166. What is the largest of them?
  39. 39.The sum of two numbers is 22 and their difference is 4. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 35. What is the smaller number?

Answer key

  1. 20
  2. 81
  3. 11
  4. 32
  5. 27
  6. 48
  7. 65
  8. 72
  9. 36
  10. 26
  11. 56
  12. 31
  13. 32
  14. 34
  15. 37
  16. 29
  17. 33
  18. 11
  19. 40
  20. 47
  21. 89
  22. 2
  23. 78
  24. 45
  25. 23
  26. 13
  27. 22
  28. 27
  29. 15
  30. 70
  31. 23
  32. 25
  33. 36
  34. 32
  35. 14
  36. 66
  37. 89
  38. 43
  39. 9
  40. 7

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