MEI online resources for mathematics
Sample resources

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Core 1 (OCR) – Sample chapter

Chapters:
  Core 1 (OCR): GCSE Algebra GCSE Algebra
  Core 1 (OCR): Chapters 1 and 13: Coordinate Geometry Coordinate geometry
Sections (click on + to expand the sections)

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.
TestTest Questions
Submit answers Co-ordinate geometry 1

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.
TestTest Questions
Submit answers Co-ordinate geometry 2
Please complete this once you have finished all four sections. Give it to your teacher / tutor for marking.
Co-ordinate geometry chapter assessment
This glossary covers all of this chapter.
Glossary
  Core 1 (OCR): Chapters 2 and 7: Surds and Indices Surds and Indices
  Core 1 (OCR): Chapters 3 and 10: Graphs and Transformations Graphs and Transformations
  Core 1 (OCR): Chapters 4, 6 and 9: Algebra Algebra
  Core 1 (OCR): Chapters 5, 8, 11 and 12: Differentiation Differentiation