   SEARCH HOME Math Central Quandaries & Queries  Question from Lynnette, a parent: If I received 100% on my assignment which is worth 20% of my total mark and 87% on my midterm which is worth 40% of my total mark what would I need to get on the final exam which is worth 40% of my mark. To pass the course I must have 80% or above. Thanks. Lynnette,

The assignment was worth 20% of the final grade so the teacher graded the assignment out of 20 points.
The midterm was worth 40% of the final grade so the teacher graded the midterm out of 40 points.
The final is worth 40% of the final grade so the teacher will grade the final out of 40 points.

You got all of the points on the assignment, that's 100% of 20 points or 20 points.

You got 87% of the marks on the midterm so that's 87% of 40 or 0.87 × 40 = 34.8 points.

Thus, so far you have 20 + 34.8 = 54.8 points. You need 80 - 54.8 = 25.2 more points to pass the course, so you need 25.2 of the 40 points on the final exam. What percentage of 40 is 25.2?

Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.