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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 284 · 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 85. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  3. 3.The sum of two numbers is 28 and their difference is 14. What is the smaller number?
  4. 4.One number is 4 times another. Their difference is 36. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  10. 10.One number is 6 times another. Their difference is 200. What is the smaller number?
  11. 11.The sum of two numbers is 84 and their difference is 58. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  13. 13.The sum of two numbers is 30 and their difference is 16. What is the larger number?
  14. 14.One number is 5 times another. Their difference is 72. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 24. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 156 and their difference is 28. What is the smaller number?
  20. 20.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?
  21. 21.One number is 3 times another. Their difference is 8. What is the smaller number?
  22. 22.The sum of two numbers is 32 and their difference is 16. What is the smaller number?
  23. 23.The sum of two numbers is 87 and their difference is 51. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 10. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  26. 26.The sum of two numbers is 92 and their difference is 8. What is the smaller number?
  27. 27.The sum of two numbers is 27 and their difference is 19. What is the larger number?
  28. 28.The sum of two numbers is 78 and their difference is 62. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  30. 30.The sum of two numbers is 102 and their difference is 18. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  33. 33.One number is 5 times another. Their difference is 124. What is the smaller number?
  34. 34.One number is 4 times another. Their difference is 87. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 105. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 155. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 96. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  40. 40.The sum of two numbers is 65 and their difference is 29. What is the larger number?

Answer key

  1. 17
  2. 62
  3. 7
  4. 12
  5. 32
  6. 89
  7. 15
  8. 63
  9. 29
  10. 40
  11. 13
  12. 37
  13. 23
  14. 18
  15. 34
  16. 9
  17. 17
  18. 68
  19. 64
  20. 67
  21. 4
  22. 8
  23. 18
  24. 10
  25. 32
  26. 42
  27. 23
  28. 8
  29. 21
  30. 60
  31. 40
  32. 13
  33. 31
  34. 29
  35. 23
  36. 31
  37. 51
  38. 32
  39. 59
  40. 47

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