James is taking three examination papers in Spanish - OCR - GCSE Maths - Question 2 - 2020 - Paper 1
Question 2
James is taking three examination papers in Spanish.
Here are his first two results.
Paper 1: 43
Paper 2: 38
Paper 3 is out of 95.
The marks in each of the three p... show full transcript
Worked Solution & Example Answer:James is taking three examination papers in Spanish - OCR - GCSE Maths - Question 2 - 2020 - Paper 1
Step 1
Find the total available marks.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The total marks for Paper 1 is 80, and for Paper 2 is 65. Therefore, the total marks from Papers 1 and 2 combined are:
80+65+95=240
Step 2
Calculate 60% of the total marks.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the lowest mark James needs in Paper 3 to achieve 60% of the total marks, we first calculate 60% of 240:
0.6×240=144
Step 3
Determine the marks already obtained.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
James achieved 43 marks in Paper 1 and 38 in Paper 2. Adding these marks together:
43+38=81
Step 4
Calculate the required mark in Paper 3.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Let x be the mark needed in Paper 3. To achieve a total of 144 marks, we set up the equation: