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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 336 · 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 87. What is the smallest of them?
  2. 2.One number is 5 times another. Their difference is 100. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  5. 5.The sum of two numbers is 18 and their difference is 12. What is the larger number?
  6. 6.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 90. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 86 and their difference is 14. What is the smaller number?
  11. 11.The sum of two numbers is 110 and their difference is 50. What is the larger number?
  12. 12.The sum of two numbers is 58 and their difference is 32. What is the larger number?
  13. 13.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?
  14. 14.The sum of 3 consecutive numbers is 72. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 180. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 135. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  21. 21.The sum of two numbers is 161 and their difference is 5. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 8. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 23. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  26. 26.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 11. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 5 consecutive numbers is 45. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  31. 31.One number is 4 times another. Their difference is 96. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  35. 35.The sum of two numbers is 40 and their difference is 16. What is the larger number?
  36. 36.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 70. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 108. What is the smallest of them?

Answer key

  1. 28
  2. 25
  3. 73
  4. 45
  5. 15
  6. 5
  7. 69
  8. 20
  9. 78
  10. 36
  11. 80
  12. 45
  13. 89
  14. 25
  15. 25
  16. 36
  17. 13
  18. 26
  19. 29
  20. 9
  21. 78
  22. 8
  23. 23
  24. 29
  25. 17
  26. 85
  27. 11
  28. 39
  29. 11
  30. 23
  31. 32
  32. 74
  33. 22
  34. 67
  35. 28
  36. 28
  37. 20
  38. 19
  39. 47
  40. 35

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