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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 719 · 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 165. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 110. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of two numbers is 89 and their difference is 67. What is the smaller number?
  7. 7.The sum of two numbers is 118 and their difference is 70. What is the larger number?
  8. 8.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 36. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 195. What is the smaller number?
  11. 11.The sum of two numbers is 35 and their difference is 23. What is the larger number?
  12. 12.The sum of 5 consecutive numbers is 175. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  17. 17.The sum of two numbers is 56 and their difference is 14. What is the larger number?
  18. 18.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of two numbers is 18 and their difference is 16. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  22. 22.The sum of two numbers is 54 and their difference is 40. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  24. 24.The sum of two numbers is 172 and their difference is 22. What is the smaller number?
  25. 25.The sum of two numbers is 79 and their difference is 27. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  28. 28.One number is 5 times another. Their difference is 120. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 170. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  31. 31.The sum of two numbers is 107 and their difference is 15. What is the larger number?
  32. 32.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  37. 37.The sum of two numbers is 67 and their difference is 51. What is the larger number?
  38. 38.One number is 5 times another. Their difference is 24. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 105. What is the largest of them?
  40. 40.The sum of two numbers is 55 and their difference is 1. What is the smaller number?

Answer key

  1. 35
  2. 24
  3. 82
  4. 40
  5. 67
  6. 11
  7. 94
  8. 47
  9. 36
  10. 39
  11. 29
  12. 37
  13. 38
  14. 24
  15. 54
  16. 37
  17. 35
  18. 57
  19. 17
  20. 54
  21. 13
  22. 7
  23. 60
  24. 75
  25. 26
  26. 79
  27. 75
  28. 30
  29. 44
  30. 57
  31. 61
  32. 72
  33. 21
  34. 72
  35. 74
  36. 15
  37. 59
  38. 6
  39. 23
  40. 27

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