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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 682 · 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 5 times another. Their difference is 60. What is the smaller number?
  2. 2.The sum of two numbers is 61 and their difference is 13. What is the larger number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.The sum of two numbers is 49 and their difference is 41. What is the smaller number?
  6. 6.The sum of two numbers is 37 and their difference is 5. What is the larger number?
  7. 7.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  9. 9.One number is 6 times another. Their difference is 95. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  12. 12.The sum of two numbers is 43 and their difference is 25. What is the larger number?
  13. 13.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 35. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  19. 19.The sum of two numbers is 62 and their difference is 50. What is the smaller number?
  20. 20.One number is 4 times another. Their difference is 54. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 40 and their difference is 18. What is the larger number?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 210. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 174. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  29. 29.The sum of two numbers is 138 and their difference is 54. What is the larger number?
  30. 30.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 12. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 105. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 136. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 295. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 4 consecutive numbers is 134. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 99. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 44. What is the smaller number?
  40. 40.The sum of two numbers is 31 and their difference is 17. What is the smaller number?

Answer key

  1. 15
  2. 37
  3. 78
  4. 25
  5. 4
  6. 21
  7. 44
  8. 8
  9. 19
  10. 89
  11. 23
  12. 34
  13. 9
  14. 47
  15. 19
  16. 43
  17. 7
  18. 11
  19. 6
  20. 18
  21. 24
  22. 29
  23. 14
  24. 36
  25. 44
  26. 59
  27. 6
  28. 30
  29. 96
  30. 12
  31. 12
  32. 65
  33. 23
  34. 34
  35. 61
  36. 27
  37. 35
  38. 33
  39. 11
  40. 7

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