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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 311 · 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 numbers is 30. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 35. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 76. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  7. 7.The sum of two numbers is 79 and their difference is 3. What is the smaller number?
  8. 8.The sum of two numbers is 32 and their difference is 24. What is the larger number?
  9. 9.The sum of 4 consecutive numbers is 114. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  11. 11.The sum of two numbers is 44 and their difference is 34. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 168. What is the largest of them?
  13. 13.The sum of two numbers is 19 and their difference is 13. What is the larger number?
  14. 14.One number is 6 times another. Their difference is 185. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  16. 16.The sum of two numbers is 50 and their difference is 6. What is the larger number?
  17. 17.The sum of two numbers is 90 and their difference is 8. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 90. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 31. What is the smaller number?
  22. 22.The sum of two numbers is 50 and their difference is 38. What is the smaller number?
  23. 23.The sum of two numbers is 40 and their difference is 30. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.The sum of two numbers is 152 and their difference is 28. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 270. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 48. What is the largest of them?
  28. 28.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?
  29. 29.One number is 6 times another. Their difference is 95. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 33. What is the smaller number?
  31. 31.One number is 4 times another. Their difference is 15. What is the smaller number?
  32. 32.The sum of two numbers is 114 and their difference is 78. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  34. 34.The sum of two numbers is 146 and their difference is 40. What is the larger number?
  35. 35.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  36. 36.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  37. 37.One number is 4 times another. Their difference is 12. What is the smaller number?
  38. 38.The sum of two numbers is 106 and their difference is 20. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 305. What is the largest of them?
  40. 40.The sum of two numbers is 154 and their difference is 4. What is the smaller number?

Answer key

  1. 9
  2. 73
  3. 40
  4. 7
  5. 38
  6. 25
  7. 38
  8. 28
  9. 30
  10. 21
  11. 39
  12. 57
  13. 16
  14. 37
  15. 31
  16. 28
  17. 41
  18. 68
  19. 30
  20. 20
  21. 31
  22. 6
  23. 5
  24. 49
  25. 62
  26. 56
  27. 17
  28. 15
  29. 19
  30. 11
  31. 5
  32. 96
  33. 39
  34. 93
  35. 15
  36. 36
  37. 4
  38. 43
  39. 63
  40. 75

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