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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 533 · 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 153. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 15. What is the smaller number?
  4. 4.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?
  5. 5.One number is 6 times another. Their difference is 165. What is the smaller number?
  6. 6.The sum of two numbers is 59 and their difference is 41. What is the smaller number?
  7. 7.The sum of two numbers is 80 and their difference is 10. What is the larger number?
  8. 8.One number is 2 times another. Their difference is 35. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive numbers is 147. What is the largest of them?
  11. 11.One number is 5 times another. Their difference is 36. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 120. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  17. 17.The sum of two numbers is 46 and their difference is 28. What is the larger number?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 33. What is the smaller number?
  20. 20.The sum of two numbers is 87 and their difference is 63. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 95. What is the largest of them?
  22. 22.The sum of two numbers is 156 and their difference is 34. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 39. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  28. 28.The sum of two numbers is 15 and their difference is 5. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  30. 30.The sum of two numbers is 94 and their difference is 66. What is the larger number?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 85. What is the largest of them?
  33. 33.The sum of two numbers is 97 and their difference is 5. What is the larger number?
  34. 34.The sum of two numbers is 137 and their difference is 11. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  39. 39.The sum of two numbers is 98 and their difference is 34. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 80. What is the smallest of them?

Answer key

  1. 52
  2. 78
  3. 5
  4. 78
  5. 33
  6. 9
  7. 45
  8. 35
  9. 89
  10. 50
  11. 9
  12. 68
  13. 27
  14. 7
  15. 41
  16. 16
  17. 37
  18. 18
  19. 11
  20. 75
  21. 21
  22. 61
  23. 9
  24. 35
  25. 27
  26. 14
  27. 61
  28. 5
  29. 12
  30. 80
  31. 39
  32. 19
  33. 51
  34. 63
  35. 21
  36. 38
  37. 23
  38. 54
  39. 32
  40. 14

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