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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 504 · 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.One number is 2 times another. Their difference is 23. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  3. 3.The sum of two numbers is 179 and their difference is 5. What is the smaller number?
  4. 4.The sum of two numbers is 35 and their difference is 5. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 13. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  9. 9.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 130. What is the largest of them?
  11. 11.The sum of two numbers is 56 and their difference is 8. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 132. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.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?
  17. 17.One number is 2 times another. Their difference is 8. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  21. 21.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?
  22. 22.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  25. 25.The sum of two numbers is 31 and their difference is 19. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 166. What is the largest of them?
  27. 27.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?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 174. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  34. 34.One number is 4 times another. Their difference is 120. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 25. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.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?
  38. 38.One number is 5 times another. Their difference is 92. What is the smaller number?
  39. 39.The sum of two numbers is 61 and their difference is 31. What is the larger number?
  40. 40.One number is 6 times another. Their difference is 50. What is the smaller number?

Answer key

  1. 23
  2. 58
  3. 87
  4. 15
  5. 13
  6. 77
  7. 35
  8. 26
  9. 40
  10. 28
  11. 32
  12. 51
  13. 45
  14. 10
  15. 47
  16. 69
  17. 8
  18. 9
  19. 56
  20. 78
  21. 12
  22. 24
  23. 15
  24. 59
  25. 6
  26. 43
  27. 89
  28. 59
  29. 45
  30. 5
  31. 45
  32. 63
  33. 53
  34. 40
  35. 5
  36. 28
  37. 17
  38. 23
  39. 46
  40. 10

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