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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 328 · 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 66. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 44. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 215. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 40. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  9. 9.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  10. 10.The sum of 4 consecutive numbers is 98. What is the largest of them?
  11. 11.The sum of two numbers is 24 and their difference is 8. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  14. 14.One number is 5 times another. Their difference is 28. What is the smaller number?
  15. 15.One number is 5 times another. Their difference is 72. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of two numbers is 22 and their difference is 10. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 54. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 117. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive numbers is 75. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  30. 30.The sum of two numbers is 56 and their difference is 48. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 33. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 40. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  36. 36.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  37. 37.The sum of two numbers is 101 and their difference is 37. What is the larger number?
  38. 38.The sum of two numbers is 98 and their difference is 54. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 24
  2. 16
  3. 11
  4. 56
  5. 45
  6. 8
  7. 16
  8. 19
  9. 74
  10. 26
  11. 8
  12. 27
  13. 70
  14. 7
  15. 18
  16. 15
  17. 18
  18. 63
  19. 45
  20. 46
  21. 16
  22. 27
  23. 50
  24. 11
  25. 40
  26. 67
  27. 26
  28. 69
  29. 74
  30. 4
  31. 51
  32. 33
  33. 10
  34. 42
  35. 18
  36. 62
  37. 69
  38. 22
  39. 10
  40. 56

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