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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 338 · 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 numbers is 42. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 238. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  4. 4.The sum of two numbers is 73 and their difference is 39. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 64. What is the smaller number?
  7. 7.The sum of two numbers is 28 and their difference is 16. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 38. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  13. 13.The sum of two numbers is 122 and their difference is 10. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 70. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 135. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 18. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  21. 21.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 305. What is the largest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 143 and their difference is 15. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 177. What is the largest of them?
  29. 29.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 56. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 68. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 36. What is the smaller number?
  34. 34.The sum of two numbers is 41 and their difference is 31. What is the smaller number?
  35. 35.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?
  36. 36.The sum of two numbers is 30 and their difference is 12. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 210. What is the largest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive odd numbers is 256. What is the largest of them?

Answer key

  1. 9
  2. 61
  3. 10
  4. 17
  5. 62
  6. 32
  7. 6
  8. 38
  9. 38
  10. 89
  11. 50
  12. 42
  13. 56
  14. 16
  15. 28
  16. 46
  17. 30
  18. 6
  19. 19
  20. 17
  21. 7
  22. 56
  23. 63
  24. 69
  25. 79
  26. 41
  27. 29
  28. 60
  29. 3
  30. 28
  31. 34
  32. 66
  33. 12
  34. 5
  35. 27
  36. 9
  37. 9
  38. 44
  39. 37
  40. 67

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