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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 186 · 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 210. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 160. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 202. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 106. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 37. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  9. 9.The sum of two numbers is 77 and their difference is 53. What is the larger number?
  10. 10.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.One number is 2 times another. Their difference is 28. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 12. What is the smaller number?
  13. 13.The sum of two numbers is 75 and their difference is 41. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 183. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  19. 19.The sum of two numbers is 39 and their difference is 5. What is the larger number?
  20. 20.One number is 5 times another. Their difference is 108. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 11. What is the smaller number?
  23. 23.The sum of two numbers is 47 and their difference is 7. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 16. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 60. What is the largest of them?
  29. 29.One number is 5 times another. Their difference is 96. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  31. 31.The sum of two numbers is 41 and their difference is 29. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  33. 33.One number is 6 times another. Their difference is 80. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 56. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 152. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 194. What is the smallest of them?

Answer key

  1. 44
  2. 40
  3. 15
  4. 52
  5. 45
  6. 28
  7. 37
  8. 16
  9. 65
  10. 46
  11. 28
  12. 6
  13. 58
  14. 20
  15. 69
  16. 12
  17. 62
  18. 26
  19. 22
  20. 27
  21. 57
  22. 11
  23. 20
  24. 16
  25. 56
  26. 81
  27. 61
  28. 14
  29. 24
  30. 25
  31. 35
  32. 30
  33. 16
  34. 14
  35. 74
  36. 24
  37. 35
  38. 40
  39. 38
  40. 47

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