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Expand and simplify (6x+9)(4x+7)

Using the "crabs claw" or "parrot beak" method, draw lines linking the two brackets (demonstrated on whiteboard) 6x x 4x = 24x 2 6x x 7 = 42x 9 x 4x = 36x 9 x 7 = 63 Answer = 24x 2 + 42x ...
JG
Answered by Jenna G. • Maths tutor
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How do you work out compound interest?

Check whether student can calculate simple interest, e.g. How much money would you have after 1 year if you have £50 and get 3% interest? (Ans: 50*1.03 = 51.50) Once this is understood get them to calculate ...
JW
Answered by Joanna W. • Maths tutor
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Factorise fully the following: 12x^3 + 3x^2 + 15x

To factorise an equation entirely it is necessary to think of the commonality between all terms. In this case, not only 'x' is common in all the parts of the equation, but also '3'. Knowing this information ...
HB
Answered by Helena B. • Maths tutor
4894 Views

A metal Sphere of radius Ym is melted down and remade into a cylinder of the same volume with height Ym with circular ends of radius 3m, find Y

The sphere has radius Y, so the volume of the sphere is 4/3 (pi) Y 3 , The volume is the same for the cyclinder so we know the volume of the cylinder in terms of Y. Cyclinder volume = area of circle face x h...
JC
Answered by James C. • Maths tutor
3522 Views

What is Pythagoras's theorem?

Pythagoras's theorem is used to calculate the lengths of the sides of right-angled triangles. The theorem can be used to find the length of the third side of a right-angled triangle, as long as the lengths o...
SJ
Answered by Samuel J. • Maths tutor
4319 Views