# 9 Maths questions high school/a level

**Question description**

__Question 1__

Find the gradient, -intercept and -intercept of the line

Give your answers exactly, as integers or single fractions.

The gradient is

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__Question 2__

giving your answers exactly, as integers or single fractions.

The solutions are q =

There should be 3 answers.

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**Question 3**

Suppose that and

Find the rule of the composite function

[Remember that, for example, you can input by typing sqrt(x) ]

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__Question 4__

Find the rule of the inverse of the function .

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**Question 5**

Expand brackets and gather like terms in your answer, but do not take out any common factors.

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Question 6

Give your answer as a decimal number to three significant figures.

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Question 7

The triangle has angle , angle and side of length .

Find the length of side . Give your answer as a decimal number to one decimal place.

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Question 8

The angle in triangle is , and the lengths of two sides are and .

Find the length of side . Give your answer as a decimal number to one decimal place.

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Question 9

Use an appropriate half-angle identity to find the exact value of .

Give your answer exactly, as a numerical expression involving surds and fractions.

To enter, for example, type sqrt(x)

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