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Maths
GCSE

There are n sweets in a bag. 6 are Orange, the rest are Yellow. Hannah takes a sweet out of the bag, and eats it, she does this twice. The Probability of Hannah eating two orange sweets is 1/3. Show that n^2 - n - 90 =0, and solve to find the value of n.

The first thing to recognise about this probability question, is the probability of eating an orange sweet from the bag. When she first puts her hand in the bag, there are a total of n sweets in the bag, ...

DD
Answered by Dylan D. Maths tutor
9376 Views

Simplify (2^2)^3

The laws of powers explain that it is possible to add powers together when a power is raised against another. Therefore the answer is as follows 2^(2+3) = 2^5

CO
Answered by Curtis O. Maths tutor
2946 Views

Factorise this equation: x^2+3x-10=0

The first stage is to calculate two numbers that multiply together to make the integer in the equation, in this example it's -10. The numbers are 5 and 2. Now these two number should both satisfy the sign...

CO
Answered by Curtis O. Maths tutor
3395 Views

A ladder 6.2m long is leaning against a wall. The bottom of the ladder is 0.8m from the wall. Calculate the distance the ladder reaches up the wall, giving your answer to two decimal points.

Using the information given, we can draw a diagram of the ladder leaning against the wall. As the wall is at 90 degrees to the ground, we can see that the ladder, wall and ground form a right-angled trian...

PF
Answered by Pippa F. Maths tutor
10233 Views

Find the two solutions to the quadratic equation x^2-9x+18

The constant 18 can be written in the form 3*6. Therefore the brackets will take the form (x 3)(x 6). In order to find the sign in between them, we have to write -9 using 3 and 6. -9=-3-6 so the brackets ...

FA
Answered by Felix A. Maths tutor
4371 Views

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