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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 7 · 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 215. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 300. What is the largest of them?
  4. 4.One number is 5 times another. Their difference is 44. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 110. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 60. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  8. 8.The sum of two numbers is 43 and their difference is 29. What is the larger number?
  9. 9.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?
  10. 10.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.One number is 3 times another. Their difference is 56. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 70. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 158. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 180. What is the largest of them?
  15. 15.The sum of two numbers is 68 and their difference is 38. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 125. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 81. What is the largest of them?
  18. 18.One number is 5 times another. Their difference is 84. What is the smaller number?
  19. 19.The sum of two numbers is 128 and their difference is 34. What is the smaller number?
  20. 20.The sum of two numbers is 74 and their difference is 24. What is the larger number?
  21. 21.One number is 2 times another. Their difference is 37. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 234. What is the largest of them?
  23. 23.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?
  24. 24.The sum of two numbers is 55 and their difference is 47. What is the larger number?
  25. 25.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?
  26. 26.One number is 4 times another. Their difference is 120. What is the smaller number?
  27. 27.The sum of two numbers is 137 and their difference is 41. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 60. What is the smaller number?
  31. 31.The sum of two numbers is 109 and their difference is 25. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 105. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 150. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 17. What is the smaller number?
  35. 35.The sum of two numbers is 32 and their difference is 2. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 80. What is the largest of them?
  37. 37.One number is 2 times another. Their difference is 3. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  40. 40.The sum of 4 consecutive even numbers is 92. What is the smallest of them?

Answer key

  1. 41
  2. 45
  3. 62
  4. 11
  5. 24
  6. 30
  7. 57
  8. 36
  9. 67
  10. 69
  11. 28
  12. 19
  13. 41
  14. 38
  15. 15
  16. 27
  17. 28
  18. 21
  19. 47
  20. 49
  21. 37
  22. 60
  23. 27
  24. 51
  25. 78
  26. 40
  27. 48
  28. 17
  29. 38
  30. 15
  31. 42
  32. 35
  33. 30
  34. 17
  35. 15
  36. 18
  37. 3
  38. 35
  39. 41
  40. 20

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