This is a quick over view of the topics in the M3 CCEA GCSE Maths curriculum.

**M3 is the gateway paper **and the **completion paper is M7.** Read about the M7 CCEA GCSE Maths Curriculum here.

Buy our M3 CCEA Style Practice Papers here.

## M3 CCEA GCSE Maths Curriculum – Foundation

M3 – this can be sat in January or June and makes up 45% of the overall score. The final grades the can be achieved are B – E. The exam is 2 hours long and students can use a calculator.

Students should learn the M1 nd M2 curriculum before starting M3.

#### Learning Outcomes For M3 CCEA GCSE Maths Curriculum:

##### Number and Algebra

- find the least common multiples (LCM) and highest common factor (HCF) of numbers written as the product of their prime factors
- find the original quantity, given the result of a proportional change
- calculate the upper and lower bounds in calculations involving addition and multiplication of numbers expressed to a given degree of accuracy
- know the difference between an equation and an identity
- multiply two linear expressions
- factorise quadratic expressions of the form: \(x^{2}+bx+c\)
- factorise using the difference of two squares
- add or subtract algebraic fractions, for example simplify: \(\frac{4x+3}{10}+\frac{6x-5}{5}\)
- simplify, multiply and divide algebraic fractions with linear or quadratic numerators and denominators
- set up and solve linear equations of the form: \(\frac{4x+3}{10}+\frac{6x-5}{5}=\frac{13}{2}\)
- set up and solve quadratic equations using factors
- understand that the form
*y = mx + c*represents a straight line and that*m*is the gradient of the line and*c*is the value of the*y*– intercept - find the equation of a line through two given points or through one point with a given gradient
- understand and use the gradients of parallel lines

##### Geometry and Measures

- identify and apply circle definitions and properties, including tangent, arc, sector and segment
- use compound measures or units such as pressure
- solve mensuration problems that involve arc length and area of sector, surface area of a cylinder and volume and surface area of a cone and sphere; understand and use the trigonometric ratios of sine, cosine and tangent to solve 2D problems, including those involving angles of elevation and depression

##### Data Handling

- calculate quartiles and interquartile range from a list of values and understand their uses
- construct and interpret cumulative frequency tables and the cumulative frequency curve
- estimate the median, quartiles and interquartile range from a cumulative frequency curve and display information using box plots
- infer properties of populations or distributions from a sample and know the limitations of doing so

Find out more on the CCEA website.

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