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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 829 · 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 3 consecutive even numbers is 36. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 51. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  4. 4.One number is 4 times another. Their difference is 21. What is the smaller number?
  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 210. What is the smallest of them?
  7. 7.The sum of two numbers is 89 and their difference is 9. What is the smaller number?
  8. 8.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?
  9. 9.One number is 2 times another. Their difference is 11. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 21. What is the smaller number?
  13. 13.The sum of two numbers is 94 and their difference is 40. What is the larger number?
  14. 14.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 70. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.One number is 2 times another. Their difference is 13. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 16. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 214. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 40. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 160. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 54. What is the smaller number?
  28. 28.The sum of two numbers is 74 and their difference is 70. What is the larger number?
  29. 29.The sum of 3 consecutive numbers is 63. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  33. 33.The sum of two numbers is 58 and their difference is 26. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  36. 36.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 90. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 45. What is the largest of them?
  39. 39.The sum of two numbers is 77 and their difference is 59. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 123. What is the smallest of them?

Answer key

  1. 14
  2. 18
  3. 20
  4. 7
  5. 45
  6. 51
  7. 40
  8. 78
  9. 11
  10. 23
  11. 42
  12. 21
  13. 67
  14. 65
  15. 14
  16. 59
  17. 23
  18. 13
  19. 13
  20. 16
  21. 55
  22. 15
  23. 8
  24. 63
  25. 10
  26. 40
  27. 18
  28. 72
  29. 22
  30. 42
  31. 39
  32. 19
  33. 16
  34. 47
  35. 39
  36. 25
  37. 31
  38. 11
  39. 9
  40. 40

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