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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 358 · 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 6 times another. Their difference is 15. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 111. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  5. 5.The sum of two numbers is 30 and their difference is 4. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 63. What is the largest of them?
  9. 9.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  11. 11.The sum of two numbers is 94 and their difference is 62. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 58 and their difference is 14. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  15. 15.The sum of two numbers is 26 and their difference is 12. What is the smaller number?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 74. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 65. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 160. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  23. 23.The sum of two numbers is 155 and their difference is 27. What is the larger number?
  24. 24.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 30. What is the smaller number?
  26. 26.The sum of two numbers is 102 and their difference is 48. What is the larger number?
  27. 27.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  30. 30.The sum of two numbers is 32 and their difference is 24. What is the larger number?
  31. 31.One number is 4 times another. Their difference is 33. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  35. 35.The sum of two numbers is 43 and their difference is 39. What is the larger number?
  36. 36.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 75. What is the smaller number?
  38. 38.The sum of two numbers is 126 and their difference is 30. What is the larger number?
  39. 39.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  40. 40.One number is 6 times another. Their difference is 190. What is the smaller number?

Answer key

  1. 3
  2. 37
  3. 56
  4. 8
  5. 17
  6. 71
  7. 12
  8. 22
  9. 3
  10. 51
  11. 16
  12. 79
  13. 36
  14. 84
  15. 7
  16. 78
  17. 37
  18. 13
  19. 17
  20. 34
  21. 24
  22. 26
  23. 91
  24. 10
  25. 6
  26. 75
  27. 59
  28. 39
  29. 75
  30. 28
  31. 11
  32. 43
  33. 24
  34. 46
  35. 41
  36. 71
  37. 15
  38. 78
  39. 41
  40. 38

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