You receive 80% on your first midterm while your friend receives 70%. Taking into consideration the fact that the first midterm is worth 14% of your overall mark, the difference (between receiving 70% and 80% on your midterm) this could make in your final mark is?

How would I work this question out?

you scores were different by 10 pts. This is worth on the overall mark 10*.14=1.4pts

To work out the difference the percentage on the midterm can make in your final mark, you'll need to follow these steps:

Step 1: Calculate the weightage of your midterm in the overall mark.
Since the midterm is worth 14% of your overall mark, multiply the percentage you receive on the midterm by the weightage:
Your weightage = 80% * 14% = 0.8 * 0.14 = 0.112

Step 2: Calculate the weightage of your friend's midterm in the overall mark.
Following the same process, find the weightage for your friend:
Friend's weightage = 70% * 14% = 0.7 * 0.14 = 0.098

Step 3: Calculate the difference their marks could make in the final mark.
The difference between the two weightages will give you the potential difference the midterm mark could have on the final mark:
Difference = Your weightage - Friend's weightage = 0.112 - 0.098 = 0.014

Step 4: Convert the difference to a percentage.
To express the difference as a percentage, multiply it by 100:
Difference as a percentage = Difference * 100 = 0.014 * 100 = 1.4%

Therefore, receiving 80% while your friend receives 70% on the first midterm could make a difference of 1.4% in your final mark.