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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 536 · 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 180. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  3. 3.One number is 2 times another. Their difference is 11. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  7. 7.The sum of two numbers is 134 and their difference is 22. What is the larger number?
  8. 8.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  11. 11.One number is 5 times another. Their difference is 24. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 126. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 6. What is the smaller number?
  15. 15.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?
  16. 16.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?
  17. 17.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 70. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 27. What is the smaller number?
  24. 24.The sum of two numbers is 44 and their difference is 22. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 84. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 65. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  31. 31.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?
  32. 32.One number is 4 times another. Their difference is 111. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 100. What is the largest of them?
  34. 34.The sum of two numbers is 48 and their difference is 30. What is the larger number?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  37. 37.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  39. 39.The sum of two numbers is 43 and their difference is 11. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 80. What is the smallest of them?

Answer key

  1. 38
  2. 36
  3. 11
  4. 54
  5. 46
  6. 12
  7. 78
  8. 57
  9. 53
  10. 22
  11. 6
  12. 33
  13. 60
  14. 6
  15. 68
  16. 67
  17. 28
  18. 50
  19. 52
  20. 32
  21. 14
  22. 35
  23. 27
  24. 11
  25. 83
  26. 42
  27. 79
  28. 29
  29. 15
  30. 73
  31. 78
  32. 37
  33. 22
  34. 39
  35. 48
  36. 17
  37. 2
  38. 21
  39. 27
  40. 14

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