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Maths
GCSE

Josie is paid £1200 per month. She is going to receive an increase of 4% in the amount she is paid. Work out how much money Josie we be paid each month after the increase.

We need to first work out what 4% of £1200 is. 1% of £1200 = £(1200/100) = £12. 1% is £12, so 4%= 4*£12 = £48. She will receive a £48 increase.Adding that on to her original amount, £1200 + £48 = £1248.Fi...

JB
Answered by Jack B. Maths tutor
2727 Views

Find the point(s) of intersection of the graphs y=x^2+4x-21 and x+y=-27 using an algebraic method.

As, at the point of intersection, the values of x and y are the same in each graph (otherwise it wouldn't be a point of intersection!), we can approach the problem as solving a pair of simultaneous equati...

PB
Answered by Peter B. Maths tutor
3344 Views

Circle the number that is closest in value to (1.1)/(0.0204) [From selection of 5, 6, 50, 60] [Edit of 2018 Paper 1 Q4]

To simplify the question, the denominator can be rounded to 0.02 (to find an estimate), which comes out to be 1.1/0.02=55, which suggests that the answer is between 50 and 60, and not the other two.Now, a...

DL
Answered by Doug L. Maths tutor
3267 Views

A sphere has a surface area of 4m^2, radius r. Another sphere has radius 2r. Calculate the Volume of the second sphere in M^3.

The surface area of a sphere can be calculated using Area = 4 x Pi x r^2. Since we know the surface are of the first sphere is 4m^2, we can write: 4 = 4 x Pi x r^2. This simplifies to r^2 = 0.318. Taking ...

FW
Answered by Freddie W. Maths tutor
2818 Views

Find the two points of intersection of the graphs 2x+y=7 and x^2-8x+7=y. Solve using only algebraic methods (no graphical).

We treat this problem as two simultaneous equations, using our knowledge that when two graphs intersect, they simultaneously have the same solution. The second equation (quadratic equation) is already in ...

AS
Answered by Amy S. Maths tutor
2922 Views

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