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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 360 · 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 20. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 100. What is the smaller number?
  3. 3.The sum of two numbers is 61 and their difference is 3. What is the larger number?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  6. 6.The sum of two numbers is 106 and their difference is 60. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 24. What is the largest of them?
  9. 9.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  12. 12.The sum of two numbers is 25 and their difference is 13. What is the larger number?
  13. 13.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?
  14. 14.The sum of two numbers is 33 and their difference is 11. What is the larger number?
  15. 15.One number is 2 times another. Their difference is 37. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.One number is 3 times another. Their difference is 50. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  20. 20.The sum of two numbers is 48 and their difference is 32. What is the larger number?
  21. 21.One number is 5 times another. Their difference is 88. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 126. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 21. What is the largest of them?
  24. 24.The sum of two numbers is 125 and their difference is 69. What is the smaller number?
  25. 25.The sum of two numbers is 155 and their difference is 5. What is the larger number?
  26. 26.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 122. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  30. 30.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?
  31. 31.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  32. 32.The sum of two numbers is 95 and their difference is 79. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 57. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 72. What is the largest of them?
  36. 36.The sum of two numbers is 57 and their difference is 53. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  38. 38.One number is 6 times another. Their difference is 170. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 86. What is the largest of them?

Answer key

  1. 4
  2. 20
  3. 32
  4. 79
  5. 24
  6. 23
  7. 14
  8. 9
  9. 6
  10. 89
  11. 23
  12. 19
  13. 15
  14. 22
  15. 37
  16. 60
  17. 46
  18. 25
  19. 5
  20. 40
  21. 22
  22. 33
  23. 8
  24. 28
  25. 80
  26. 66
  27. 62
  28. 32
  29. 34
  30. 19
  31. 75
  32. 8
  33. 18
  34. 20
  35. 25
  36. 2
  37. 19
  38. 34
  39. 7
  40. 23

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