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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 656 · 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 4 consecutive numbers is 82. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  4. 4.The sum of two numbers is 19 and their difference is 13. What is the larger number?
  5. 5.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  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 70. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 28. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  12. 12.The sum of two numbers is 87 and their difference is 71. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 150. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 110. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 28. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 21. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 74. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.The sum of two numbers is 46 and their difference is 4. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.The sum of two numbers is 46 and their difference is 10. What is the larger number?
  28. 28.One number is 2 times another. Their difference is 40. What is the smaller number?
  29. 29.The sum of two numbers is 80 and their difference is 78. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  32. 32.The sum of two numbers is 96 and their difference is 36. What is the smaller number?
  33. 33.The sum of two numbers is 49 and their difference is 15. What is the larger number?
  34. 34.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?
  35. 35.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.One number is 4 times another. Their difference is 66. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 33. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 125. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 84. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 202. What is the largest of them?

Answer key

  1. 19
  2. 84
  3. 56
  4. 16
  5. 17
  6. 68
  7. 12
  8. 35
  9. 14
  10. 37
  11. 48
  12. 79
  13. 51
  14. 53
  15. 24
  16. 7
  17. 7
  18. 37
  19. 85
  20. 36
  21. 54
  22. 68
  23. 49
  24. 21
  25. 74
  26. 69
  27. 28
  28. 40
  29. 79
  30. 55
  31. 38
  32. 30
  33. 32
  34. 56
  35. 38
  36. 22
  37. 11
  38. 27
  39. 29
  40. 52

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