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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 521 · 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 4 times another. Their difference is 39. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 135. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 310. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 20. What is the smaller number?
  9. 9.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?
  10. 10.One number is 5 times another. Their difference is 96. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 40. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 32 and their difference is 8. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 75. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 27. What is the largest of them?
  22. 22.The sum of two numbers is 129 and their difference is 27. What is the larger number?
  23. 23.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.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?
  25. 25.The sum of two numbers is 23 and their difference is 9. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 104. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  28. 28.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?
  29. 29.One number is 6 times another. Their difference is 110. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 240. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 15. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  36. 36.One number is 3 times another. Their difference is 54. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 165. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  40. 40.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?

Answer key

  1. 13
  2. 8
  3. 27
  4. 68
  5. 33
  6. 68
  7. 64
  8. 10
  9. 19
  10. 24
  11. 26
  12. 89
  13. 31
  14. 78
  15. 8
  16. 23
  17. 20
  18. 46
  19. 12
  20. 15
  21. 10
  22. 78
  23. 79
  24. 47
  25. 7
  26. 26
  27. 57
  28. 56
  29. 22
  30. 50
  31. 3
  32. 36
  33. 32
  34. 51
  35. 41
  36. 27
  37. 44
  38. 56
  39. 69
  40. 34

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