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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 720 · 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 odd numbers is 123. What is the largest of them?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 34. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 24. What is the smaller number?
  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 3 consecutive even numbers is 66. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  8. 8.One number is 5 times another. Their difference is 20. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 90. What is the largest of them?
  11. 11.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?
  12. 12.One number is 4 times another. Their difference is 111. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  15. 15.The sum of two numbers is 56 and their difference is 24. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 115. What is the smaller number?
  17. 17.The sum of two numbers is 87 and their difference is 1. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  19. 19.The sum of two numbers is 51 and their difference is 45. What is the larger number?
  20. 20.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?
  21. 21.One number is 4 times another. Their difference is 9. What is the smaller number?
  22. 22.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  23. 23.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  24. 24.One number is 3 times another. Their difference is 78. What is the smaller number?
  25. 25.The sum of two numbers is 104 and their difference is 70. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.One number is 5 times another. Their difference is 56. What is the smaller number?
  29. 29.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?
  30. 30.The sum of two numbers is 58 and their difference is 56. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 76. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 27. What is the largest of them?
  33. 33.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?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  35. 35.The sum of two numbers is 71 and their difference is 53. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 58. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 39. What is the smaller number?
  38. 38.The sum of two numbers is 131 and their difference is 33. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?

Answer key

  1. 43
  2. 89
  3. 17
  4. 24
  5. 67
  6. 20
  7. 26
  8. 5
  9. 80
  10. 20
  11. 23
  12. 37
  13. 46
  14. 45
  15. 16
  16. 23
  17. 43
  18. 19
  19. 48
  20. 56
  21. 3
  22. 10
  23. 65
  24. 39
  25. 87
  26. 31
  27. 69
  28. 14
  29. 79
  30. 1
  31. 38
  32. 10
  33. 48
  34. 29
  35. 9
  36. 29
  37. 39
  38. 82
  39. 49
  40. 15

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