A test has 12 problems, and each problem is worth 5 marks. Full marks are given for a correct answer, 2 marks are given if there is no answer, and no marks are given for an incorrect answer. Some scores between 1 and 60, are impossible to get on this test. What is the sum of these impossible scores?
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The numbers I have found myself are 1, 3, 53, 56, 58 and 59. Though I know I have the wrong answer when I add those up? What number or numbers am I missing?
If there are no correct answers, then the possible scores are
0,2,4,...,24
If 1, then
5,7,9,...,27
If 2, then
10,12,14,...,30
I think you can see the pattern here. Just make a 12x12 table and fill in the scores. Then cross them off a list of values from 1-60. Those remaining are impossible.
Just do what @steve said because that is the right answer
When added the answers 228
its 69
we all know where t his comes from
I think when you add the numbers up in your answer, (without the one because it doesn't count) you get the right answer. Sorry if my answer is a bit late :/
To find the sum of the impossible scores, we need to determine which scores between 1 and 60 cannot be achieved on this test. Let's break down the problem step by step:
1. Start by considering the highest possible score. Since each problem is worth 5 marks, the maximum score a student can get is 60. Thus, we can exclude 60 from the list of impossible scores.
2. Next, let's determine the minimum possible score. If the student answers every question correctly, they would receive 12 * 5 = 60 marks. However, if they answer every question incorrectly, they would receive 0 marks. So the minimum possible score is 0. Thus, we can exclude 0 from the list of impossible scores as well.
3. Now, let's think about the increments between possible scores. Since each problem is worth either 0, 2, or 5 marks, the possible scores will only increase in these increments. Therefore, we need to consider the possible scores that can be achieved using combinations of 0, 2, and 5.
4. To find all the possible scores, we can use a technique called the "coin change problem." We can create a dynamic programming table where the rows represent the values from 0 to 60, and the columns represent each question. We can then calculate the number of ways to achieve each score for each question, considering the previous questions. By following this process, we can determine all the possible scores.
5. Finally, we can subtract the sum of the possible scores from the total sum of scores between 1 and 60 to find the sum of the impossible scores.
Now, it seems you have already found some of the impossible scores, such as 1, 3, 53, 56, 58, and 59. However, these numbers might not be enough to determine the exact sum of all the impossible scores. It is possible that you have missed some numbers in your calculations.
To obtain the accurate sum of the impossible scores, you can follow the method mentioned above or use the program code specifically designed to solve the coin change problem for this scenario.
A test has 12 problems, and each problem is worth 5 marks. Full marks are given for a correct answer, 2 marks are given if there is no answer, and no marks are given for an incorrect answer. Some scores between 1 and 60, are impossible to get on this test. What is the sum of these impossible scores?
Okay. I think the test did not include having 1 or 60. I talked with my teacher, and 1 is not included in the answer, along with 60. The answer has to be between 1 and 60.
U GOT THAT?