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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 365 · 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 74. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  4. 4.The sum of two numbers is 75 and their difference is 71. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 250. What is the largest of them?
  6. 6.The sum of two numbers is 99 and their difference is 31. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 80. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 24. What is the smaller number?
  10. 10.The sum of two numbers is 81 and their difference is 61. What is the larger number?
  11. 11.The sum of two numbers is 92 and their difference is 6. What is the larger number?
  12. 12.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  13. 13.The sum of two numbers is 105 and their difference is 91. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 160. What is the largest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  19. 19.The sum of two numbers is 105 and their difference is 63. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  21. 21.One number is 3 times another. Their difference is 70. What is the smaller number?
  22. 22.The sum of two numbers is 66 and their difference is 44. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 38. What is the largest of them?
  24. 24.The sum of two numbers is 82 and their difference is 50. What is the larger number?
  25. 25.The sum of two numbers is 34 and their difference is 20. What is the larger number?
  26. 26.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 155. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.One number is 4 times another. Their difference is 51. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 81. What is the largest of them?
  36. 36.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 42. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 276. What is the smallest of them?

Answer key

  1. 20
  2. 56
  3. 63
  4. 2
  5. 52
  6. 34
  7. 56
  8. 40
  9. 6
  10. 71
  11. 49
  12. 34
  13. 7
  14. 21
  15. 34
  16. 79
  17. 81
  18. 15
  19. 21
  20. 87
  21. 35
  22. 11
  23. 11
  24. 66
  25. 27
  26. 31
  27. 47
  28. 14
  29. 69
  30. 29
  31. 33
  32. 51
  33. 25
  34. 17
  35. 28
  36. 10
  37. 52
  38. 15
  39. 41
  40. 66

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