This quiz is to help you get to grips with what you need for C1. It's not comprehensive, and it won't guarantee you an A - but it'll give you a good foundation to work from.

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Question 1

What is the (grown-up) equation of a straight line?

A

$y = mx + c$

Hint:

Nope. I mean, you can use that, but it's not the one I'd recommend.

B

$y-y_0 = m(x-x_0)$

Hint:

That's the badger!

C

$(x-x_0)^2+(y-y_0)^2=r^2$

Hint:

No, that's a circle.

D

$m_\perp = -\frac{1}{m}$

Hint:

No, that's for a perpendicular gradient.

E

$m = \frac{y_1-y_0}{x_1-x_0}$

Hint:

No, that's for working out the gradient of a straight line, not the full equation.

Question 2

How do you find the gradient of a curve at a given point, if you know the equation of the curve?

A

$y=mx+c$!

Hint:

No. That's the equation of a straight line.

B

Differentiate and put the $x$ value into the result.

Hint:

Yep! You differentiate to get the gradient.

C

Differentiate and put the $y$ value into the result.

Hint:

No! You shouldn't get any $y$s to replace (in C1).

Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.

## Scott Hazell

Check question 6 i make it [correct answer]

## Colin

Hi, Scott, you’re quite right – I’ll fix that.

I’ve edited spoilers out of your comment, and deleted the second one because it – presumably inaccurately – sounded like you were being a jerk.