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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 208 · 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 110. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 60. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 39. What is the largest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 136 and their difference is 30. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 34. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  12. 12.The sum of two numbers is 93 and their difference is 3. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.One number is 6 times another. Their difference is 105. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 58. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 10. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  22. 22.One number is 2 times another. Their difference is 28. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 17 and their difference is 15. What is the larger number?
  29. 29.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  30. 30.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?
  31. 31.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?
  32. 32.One number is 3 times another. Their difference is 42. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 30. What is the smaller number?
  36. 36.The sum of two numbers is 145 and their difference is 29. What is the smaller number?
  37. 37.The sum of two numbers is 124 and their difference is 42. What is the larger number?
  38. 38.One number is 4 times another. Their difference is 24. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 48. What is the smaller number?

Answer key

  1. 20
  2. 15
  3. 15
  4. 83
  5. 14
  6. 89
  7. 53
  8. 12
  9. 45
  10. 17
  11. 30
  12. 45
  13. 39
  14. 21
  15. 16
  16. 24
  17. 24
  18. 10
  19. 48
  20. 8
  21. 28
  22. 28
  23. 37
  24. 24
  25. 38
  26. 14
  27. 67
  28. 16
  29. 48
  30. 78
  31. 68
  32. 21
  33. 47
  34. 26
  35. 10
  36. 58
  37. 83
  38. 8
  39. 27
  40. 24

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