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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 820 · 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.One number is 6 times another. Their difference is 100. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 66. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  6. 6.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  9. 9.The sum of two numbers is 73 and their difference is 39. What is the larger number?
  10. 10.The sum of two numbers is 28 and their difference is 24. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  13. 13.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  14. 14.One number is 5 times another. Their difference is 112. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  17. 17.The sum of two numbers is 102 and their difference is 78. What is the larger number?
  18. 18.One number is 5 times another. Their difference is 28. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  22. 22.The sum of two numbers is 40 and their difference is 14. What is the smaller number?
  23. 23.The sum of two numbers is 70 and their difference is 50. What is the larger number?
  24. 24.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 205. What is the largest of them?
  26. 26.The sum of two numbers is 38 and their difference is 34. What is the larger number?
  27. 27.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?
  28. 28.The sum of two numbers is 35 and their difference is 17. What is the larger number?
  29. 29.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 110. What is the smaller number?
  31. 31.The sum of two numbers is 19 and their difference is 9. What is the larger number?
  32. 32.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 52. What is the smaller number?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 48. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 72. What is the smaller number?
  38. 38.The sum of two numbers is 91 and their difference is 79. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 20
  2. 36
  3. 23
  4. 41
  5. 15
  6. 81
  7. 79
  8. 84
  9. 56
  10. 2
  11. 18
  12. 89
  13. 79
  14. 28
  15. 64
  16. 15
  17. 90
  18. 7
  19. 59
  20. 33
  21. 53
  22. 13
  23. 60
  24. 70
  25. 43
  26. 36
  27. 78
  28. 26
  29. 11
  30. 22
  31. 14
  32. 68
  33. 26
  34. 39
  35. 16
  36. 65
  37. 36
  38. 6
  39. 63
  40. 47

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