Linda got a math test handed back to her and got a 96% on it. However she lost the test, not knowing what she got. If she knows that she scored a 43 on the test then how many 1- mark questions are there on the test?
Let N be the number of 1 mark questions.
43/N = 96/100
N = 100*43/96 = 44.79
Since N has to be an integer, so we need to round 44.79 to the nearest integer. In addition, as a check, divide 43 by N to make sure we get back 96%.
To find the number of 1-mark questions on the test, we need to first calculate the total marks that Linda could have received on the test.
Since she knows she scored 96% on the test, and assuming the test is out of 100 marks, we can use the following formula to find the total marks:
Total Marks = (Known Score / Percentage) x 100
Substituting the known values into the formula:
Total Marks = (43 / 0.96) x 100
Total Marks = 4479.17
Next, we need to determine the number of 1-mark questions on the test. Assuming all questions have equal weightage, we divide the total marks by the points per question:
Number of 1-mark questions = Total Marks / Points per Question
Since each question is worth 1 mark:
Number of 1-mark questions = Total Marks
Therefore, Linda likely had 4479 1-mark questions on the test.