**This page covers content that you need to learn for the Welsh Board (WJEC) Foundation GCSE in Mathematics.**

If you are entered for GCSE Foundation, you can achieve up to a grade C.
You will sit the papers at the end of your course. This may be in November or in June (usually in Year 11, but you may sit it early in Year 10). There are two papers, each one hour and 45 minutes long. Paper 1 is the non-calculator paper, and Paper 2 is the calculator paper. Each paper is out of 100 and each is worth 50% of your mark. |

**If you are studying Higher, it is expected that you will also be able to do all of the topics on the Foundation list.**

__GCSE Foundation__

__Topic List by Grade__

Check the list of topics below to find out what you need to learn for each grade. If you are aiming for a C, you will need to know it all! Topics with *stars* at the start do not come up very frequently (but make sure you learn them in case they do!).

## Grade G Topics

__Number__

Rounding to the nearest whole number.

Rounding to the nearest 10, 100 and 1000.

Identifying fractions and percentages from a shaded diagram.

Calculating simple fractions of quantities.

Ordering decimals.

Ordering, reading and writing whole numbers using place value.

Writing simple fractions as ratios.

Algebra

Algebra

Using coordinates in one quadrant.

Reading from simple real-life graphs.

Finding the next term in a simple linear sequence.

__Shape__

Finding perimeters, areas and volumes by counting squares or cubes.

Drawing and naming 2D shapes.

Measuring and drawing lines.

Drawing circles using compasses.

Naming parts of a circle.

Drawing lines of symmetry on a diagram.

Reflecting a shape in a given line of symmetry.

Making accurate drawings of given shapes.

Choosing appropriate (metric) units for measurement.

__Data__

Finding median and mode (single digits only).

Drawing and interpreting bar charts.

Drawing and interpreting line graphs.

Drawing and interpreting pictograms.

Making tables (e.g. tally tables), lists and charts from discrete data.

Being able to choose the most likely outcome from a given set of outcomes.

Interpreting bills and timetables.

## Grade F Topics

__Number__

Multiplying a three digit number by a two digit number.

Dividing a three digit number by a two digit number.

Calculating simple percentages of quantities.

Calculating fractions of quantities.

Understanding the order of operations (BIDMAS).

Rounding to a given number of decimal places.

Understanding place value.

Finding squares, cubes and roots.

Finding factors of a number.

Converting between fractions, decimals and percentages.

Using negative numbers in context.

__Algebra__

Finding terms in a linear sequence.

Recognising non-linear number sequences.

Using coordinates in four quadrants.

Using simple formulae.

Solving simple equations (such as 3x = 18 or x + 3 = 5).

Deriving simple expressions.

__Shape__

Estimating lengths.

Using simple scale drawings.

Naming, measuring and drawing angles.

Naming polygons.

Identifying lines of symmetry.

Identifying rotational symmetry.

Using the fact that the angle sum on a straight line is 180 degrees.

Identifying faces, edges and vertices.

__Data__

Working out simple probabilities.

Listing all possible outcomes for one event.

Estimating probability from diagrams and charts.

Finding the range (and comparing two distributions).

Finding mean and mode.

Interpreting pie charts.

Using bar charts to compare two sets of data.

## Grade E Topics

__Number__

Simplifying ratios.

Using a calculator accurately.

Rounding to one significant figure.

Calculating with fractions.

Multiplying decimals.

Dividing decimals.

Finding percentages mentally.

Ordering fractions, decimals and percentages.

Calculating powers and roots.

Calculating using negative numbers.

__Algebra__

Constructing simple linear graphs.

Simplifying algebra by collecting like terms.

Using a formula inversely (in reverse).

Using conversion graphs.

Recognising more complicated number sequences.

Solving simple equations (e.g. 3x + 4 = 10).

__Shape__

Understanding the geometry of triangles and quadrilaterals.

Measuring simple bearings.

Enlarging a shape.

Carrying out simple transformations.

Converting between metric and imperial units.

Calculating volumes.

*Completing tessellations.

Finding the area and perimeter of rectangles and kites.

*Identifying planes of symmetry.

Understanding and sketching nets of 3D shapes.

Constructing accurate drawings and angles.

__Data__

*Interpreting a stem and leaf diagram to find the median.

Using data collection sheets or questionnaires.

Finding probability from a two-way table.

Knowing that sum of probabilities = 1 for a given event.

Finding sum of frequencies for grouped data.

Constructing a pie chart.