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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 846 · 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 183. What is the largest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 92 and their difference is 34. What is the larger number?
  4. 4.One number is 6 times another. Their difference is 55. What is the smaller number?
  5. 5.The sum of two numbers is 79 and their difference is 33. What is the larger number?
  6. 6.One number is 4 times another. Their difference is 42. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  8. 8.The sum of two numbers is 54 and their difference is 24. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 11. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  12. 12.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  16. 16.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?
  17. 17.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  18. 18.The sum of two numbers is 32 and their difference is 4. What is the smaller number?
  19. 19.The sum of two numbers is 78 and their difference is 64. What is the larger number?
  20. 20.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  24. 24.The sum of two numbers is 29 and their difference is 13. What is the smaller number?
  25. 25.The sum of two numbers is 35 and their difference is 17. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 96. What is the largest of them?
  28. 28.One number is 3 times another. Their difference is 70. What is the smaller number?
  29. 29.One number is 4 times another. Their difference is 102. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 62. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  32. 32.One number is 3 times another. Their difference is 16. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 33. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  35. 35.The sum of two numbers is 96 and their difference is 56. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 95. What is the largest of them?
  37. 37.One number is 4 times another. Their difference is 87. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 16. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 24. What is the smaller number?
  40. 40.The sum of two numbers is 50 and their difference is 14. What is the larger number?

Answer key

  1. 63
  2. 78
  3. 63
  4. 11
  5. 56
  6. 14
  7. 36
  8. 15
  9. 30
  10. 11
  11. 16
  12. 55
  13. 72
  14. 60
  15. 35
  16. 37
  17. 82
  18. 14
  19. 71
  20. 6
  21. 57
  22. 41
  23. 7
  24. 8
  25. 9
  26. 58
  27. 33
  28. 35
  29. 34
  30. 17
  31. 22
  32. 8
  33. 33
  34. 11
  35. 20
  36. 21
  37. 29
  38. 4
  39. 6
  40. 32

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