MEI online resources for mathematics
Sample resources

Click the links in the menu to access multiple choice tests with fully worked solutions.

Points and straight lines

Before you start...

• You need to know how to find the distance between two points using Pythagoras’ theorem.
• You need to know how to solve linear simultaneous equations.

When you have finished you should...

• Be able to find the length, midpoint and gradient of the line joining two points.
• Be able to find the equation of a straight line.
• Know the conditions for two straight lines to be parallel or perpendicular to each other.
• Be able to solve coordinate geometry problems involving straight lines, including finding intersection points of straight lines and distances between points.

Curves and circles

Before you start...

• You need to have covered section 1.
• You need to know how to complete the square (covered in chapter 4).
• You need to be able to solve simultaneous equations in which one equation is linear and the other quadratic (covered in chapter 4).

When you have finished you should...

• Know the form of the equation of a circle with given centre and radius.
• Be able to find the centre and radius of a circle with given equation.
• Know simple properties of a circle (that the angle in a semicircle is a right angle, that the perpendicular from the centre to a chord goes through the midpoint of the chord, and that the tangent to a circle is perpendicular to the radius at that point) and be able to use them in solving problems.
• Be able to solve problems involving lines and circles, including finding the intersection points of a line and a circle.