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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 382 · 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 4 consecutive odd numbers is 120. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  4. 4.The sum of two numbers is 39 and their difference is 29. What is the larger number?
  5. 5.The sum of two numbers is 45 and their difference is 17. What is the larger number?
  6. 6.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 105. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 50. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 20. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.One number is 6 times another. Their difference is 30. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 34. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 32. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  25. 25.The sum of two numbers is 74 and their difference is 48. What is the larger number?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  29. 29.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?
  30. 30.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?
  31. 31.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  33. 33.The sum of two numbers is 23 and their difference is 1. What is the larger number?
  34. 34.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  36. 36.The sum of two numbers is 171 and their difference is 15. What is the larger number?
  37. 37.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  38. 38.The sum of two numbers is 90 and their difference is 68. What is the smaller number?
  39. 39.The sum of two numbers is 33 and their difference is 11. What is the smaller number?
  40. 40.The sum of two numbers is 127 and their difference is 67. What is the smaller number?

Answer key

  1. 27
  2. 35
  3. 20
  4. 34
  5. 31
  6. 28
  7. 74
  8. 36
  9. 62
  10. 10
  11. 20
  12. 57
  13. 56
  14. 6
  15. 79
  16. 6
  17. 17
  18. 67
  19. 35
  20. 16
  21. 32
  22. 23
  23. 59
  24. 41
  25. 61
  26. 89
  27. 27
  28. 29
  29. 45
  30. 16
  31. 2
  32. 79
  33. 12
  34. 70
  35. 24
  36. 93
  37. 4
  38. 11
  39. 11
  40. 30

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