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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 894 · 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.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  2. 2.The sum of two numbers is 23 and their difference is 17. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 270. What is the largest of them?
  4. 4.The sum of two numbers is 50 and their difference is 26. What is the larger number?
  5. 5.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  6. 6.The sum of two numbers is 56 and their difference is 2. What is the larger number?
  7. 7.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 44. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 85. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  11. 11.The sum of two numbers is 25 and their difference is 13. What is the smaller number?
  12. 12.The sum of two numbers is 150 and their difference is 16. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 165. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 64 and their difference is 62. What is the larger number?
  18. 18.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 154. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  24. 24.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?
  25. 25.One number is 2 times another. Their difference is 19. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  30. 30.The sum of two numbers is 29 and their difference is 23. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 58. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 35. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 165. What is the smaller number?
  35. 35.The sum of two numbers is 55 and their difference is 29. What is the larger number?
  36. 36.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 183. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  40. 40.One number is 4 times another. Their difference is 15. What is the smaller number?

Answer key

  1. 53
  2. 20
  3. 56
  4. 38
  5. 26
  6. 29
  7. 21
  8. 22
  9. 17
  10. 10
  11. 6
  12. 83
  13. 56
  14. 23
  15. 15
  16. 45
  17. 63
  18. 62
  19. 40
  20. 56
  21. 35
  22. 44
  23. 27
  24. 89
  25. 19
  26. 81
  27. 37
  28. 78
  29. 28
  30. 3
  31. 29
  32. 7
  33. 47
  34. 33
  35. 42
  36. 33
  37. 62
  38. 44
  39. 16
  40. 5

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