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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 634 · 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 even numbers is 126. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 12. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 115. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 52. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 62. What is the largest of them?
  12. 12.The sum of two numbers is 26 and their difference is 22. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 72. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.The sum of 3 consecutive numbers is 42. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 215. What is the largest of them?
  19. 19.The sum of two numbers is 106 and their difference is 32. What is the larger number?
  20. 20.One number is 4 times another. Their difference is 36. What is the smaller number?
  21. 21.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?
  22. 22.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.One number is 6 times another. Their difference is 150. What is the smaller number?
  25. 25.The sum of two numbers is 25 and their difference is 15. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 21. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 24. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 255. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 106. What is the largest of them?
  34. 34.The sum of two numbers is 32 and their difference is 8. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.One number is 3 times another. Their difference is 16. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 235. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 78. What is the smallest of them?

Answer key

  1. 44
  2. 6
  3. 71
  4. 25
  5. 34
  6. 38
  7. 51
  8. 17
  9. 51
  10. 26
  11. 17
  12. 2
  13. 36
  14. 45
  15. 49
  16. 15
  17. 27
  18. 45
  19. 69
  20. 12
  21. 14
  22. 57
  23. 34
  24. 30
  25. 20
  26. 71
  27. 59
  28. 27
  29. 7
  30. 9
  31. 8
  32. 53
  33. 28
  34. 12
  35. 15
  36. 8
  37. 49
  38. 89
  39. 55
  40. 24

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