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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 805 · 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 odd numbers is 219. What is the largest of them?
  2. 2.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  4. 4.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?
  5. 5.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?
  6. 6.One number is 3 times another. Their difference is 22. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 162. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.One number is 3 times another. Their difference is 56. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 20. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. 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 9. What is the number?
  16. 16.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  17. 17.The sum of two numbers is 41 and their difference is 1. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 245. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 123 and their difference is 51. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 93. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.One number is 3 times another. Their difference is 42. What is the smaller number?
  32. 32.The sum of two numbers is 73 and their difference is 65. What is the larger number?
  33. 33.The sum of 5 consecutive numbers is 235. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 30. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 9. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 6. What is the smaller number?
  37. 37.The sum of two numbers is 23 and their difference is 13. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 50. What is the largest of them?

Answer key

  1. 75
  2. 73
  3. 46
  4. 89
  5. 56
  6. 11
  7. 29
  8. 55
  9. 23
  10. 28
  11. 78
  12. 65
  13. 20
  14. 37
  15. 67
  16. 25
  17. 20
  18. 16
  19. 51
  20. 57
  21. 36
  22. 58
  23. 68
  24. 66
  25. 31
  26. 39
  27. 38
  28. 81
  29. 85
  30. 12
  31. 21
  32. 69
  33. 49
  34. 10
  35. 9
  36. 3
  37. 5
  38. 57
  39. 28
  40. 12

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