Given that your grade for your computing is based on 5 coursework that weigh differently, and you know the results of 4: 80, 75, 50 and 90 which weighs 10%, 20%, 45% and 5%. What grade do you need in your last coursework to achieve at least a B (70%)?

You know the following: 
A) 80, 10%
B) 75, 20%
C) 50, 45%
D) 90, 5%
E) X, (100-10-20-45-5)% = 20%
Therefore, create a formula with the facts given and the mean marks must be at least 70.
Note that 10% is equivalent to 0.10 and X is the mark you will need to get to achieve a B.
=> 80 x 0.10 + 75 x 0.20 + 50 x 0.45 + 90 x 0.05 + X x 0.20 >= 70
Rearranging the equation you get:
X x 0.20 >= 70 x 5 - (80 x 0.10 + 75 x 0.20 + 50 x 0.45 + 90 x 0.05)
0.20X >= 20
X >= 100
Therefore, the student will need to achieve exactly 100 (since the maximum mark allowed in the coursework is 100) in his final coursework to obtain a B which is highly unlikely to happen, so the student should have worked harder on his 3rd coursework which weighs 45%.

Answered by Chen Z. Maths tutor

3120 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations. 5x+y=21, x-3y=9.


Which of the fractions 6/12, 9/8, 2/3 is equivalent to 12/18?


Factorize x^2 + 4x -5 and hence find the roots of the quadratic equation y = x^2 + 4x - 5.


Why does the translation y=f(x+2) translate the graph f(x) 2 units left instead of 2 to the right?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences