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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 445 · 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 270. What is the smallest of them?
  2. 2.One number is 6 times another. Their difference is 55. What is the smaller number?
  3. 3.The sum of two numbers is 121 and their difference is 19. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 45. What is the largest of them?
  6. 6.The sum of two numbers is 37 and their difference is 23. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 36. What is the smaller number?
  8. 8.One number is 2 times another. Their difference is 28. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  11. 11.The sum of two numbers is 90 and their difference is 64. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 40. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  17. 17.The sum of two numbers is 111 and their difference is 17. What is the larger number?
  18. 18.One number is 4 times another. Their difference is 72. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 42. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 7. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  22. 22.The sum of two numbers is 124 and their difference is 26. What is the larger number?
  23. 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  24. 24.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  31. 31.The sum of two numbers is 99 and their difference is 1. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 21. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 120. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 96. What is the largest of them?
  37. 37.The sum of two numbers is 148 and their difference is 8. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.One number is 5 times another. Their difference is 56. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 328. What is the largest of them?

Answer key

  1. 52
  2. 11
  3. 51
  4. 78
  5. 11
  6. 7
  7. 12
  8. 28
  9. 21
  10. 29
  11. 13
  12. 44
  13. 38
  14. 80
  15. 8
  16. 58
  17. 64
  18. 24
  19. 15
  20. 7
  21. 18
  22. 75
  23. 18
  24. 59
  25. 28
  26. 79
  27. 78
  28. 33
  29. 89
  30. 57
  31. 49
  32. 10
  33. 32
  34. 21
  35. 40
  36. 33
  37. 70
  38. 14
  39. 14
  40. 85

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