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Maths
GCSE

Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3

Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up mar...

Answered by Callum G. Maths tutor
2803 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Understanding of the ratio: 2+3=5, 3/5 is white, 2/5 blue, 2.818(3/5) + 3.518(2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about...

Answered by Rhys T. Maths tutor
3234 Views

A rectangular path has perimeter of 240m. If the rectangle is split lengthways, two paths of 160m are formed. Work out the lengths of the sides of the original path.

Firstly, make sure to draw a picture! Worded questions are used to catch people out. Drawing a diagram makes solving certain problems much easier.

Secondly, notice that we are asked for two pieces ...

Answered by Henry D. Maths tutor
3206 Views

Solve for x, y, and z: 5x - 2y = 19 , 3x + 3z = 21 , y + z = 2

Like when there are two unknowns, the best way to solve this kind of problem is to rearrange and substitute, but because there are three unknowns, it's a bit more fiddly. To solve this you want to pick an...

Answered by Dan T. Maths tutor
7029 Views

A gym has 275 members. 40% are bronze members. 28% are silver members. The rest are gold members. Work out the number of gold members.

Firstly, we can calculate the total percentage of gold members = Total - bronze - silver

Therefore, %gold = 100% - 40% - 28% = 32%

So we know that 32% of 275 members are gol...

Answered by Sarah S. Maths tutor
9077 Views

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