CCEA GCSE Maths M3 Specification

Comprehensive review flashcards covering the core content, topics, and skills for the CCEA GCSE Maths M3 calculator specification.

How is the CCEA GCSE Maths M3 specification assessed?

It is assessed via the calculator paper.

What are the three main content areas covered in the CCEA GCSE Maths M3 specification?

Number & Algebra, Geometry & Measures, and Data Handling & Probability.

Which rule for priority of operations must be applied to integers, fractions, and decimals?

BIDMAS.

How are the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of numbers calculated in M3?

Using prime factorisation.

What is meant by the reverse percentages requirement in Number and Financial Mathematics?

Finding the original amount after a percentage change (increase or decrease).

Which practical contexts are covered under Financial Maths?

Interest, VAT, utility bills, and wages.

What must be determined when dealing with numbers rounded to a given degree of accuracy?

Upper and lower bounds.

What is the purpose of estimation in the Number specification?

To estimate answers to check reasonableness and to use calculator functions effectively.

What type of expansion is required under algebraic expressions?

Multiplying and expanding linear expressions, including double brackets.

What types of factorisation are specified in M3 Algebra?

Factorising linear expressions, factorising quadratic expressions ($x^2 + bx + c$), and recognising the difference of two squares.

Which basic operations are performed on simple algebraic fractions?

Addition, subtraction, multiplication, and division.

What varieties of equations must students solve in M3 Algebra?

Complex linear equations, equations containing fractions, and quadratic equations by factorisation.

Which method is used to find approximate numerical solutions to cubic equations?

Systematic trial and improvement.

What straight-line graph skills are required in M3 Algebra?

Understanding and using the equation $y = mx + c$, finding the gradient, and determining the equation from a given graph or points.

What must be calculated for both regular and irregular polygons in Geometry?

Interior and exterior angles.

Which circle definitions and calculations are required in M3?

Definitions of radius, diameter, chord, and tangent, along with calculating arc lengths and sector areas.

Which 3D solids are studied for surface area and volume calculations under Mensuration?

Prisms, cylinders, cones, and spheres.

What methods are used to find missing sides and angles in right-angled triangles?

Pythagoras' theorem and right-angled trigonometry ($\sin$, $\cos$, $\tan$), including angles of elevation and depression.

Which physical variables are linked under Compound Measures?

Speed, distance, and time, as well as mass, volume, and density.

Which measures of average and spread are calculated from discrete, grouped, and continuous data sets?

Mean, median, mode, and range.

Which advanced statistical measures must be calculated and understood in Data Handling?

Quartiles and the interquartile range (IQR).

Which statistical diagrams must students construct and interpret?

Scatter graphs, stem-and-leaf diagrams, and cumulative frequency tables.

Which graphical displays are drawn and analysed to compare distributions?

Cumulative frequency curves and box plots.

How are population inferences made in the Data Handling specification?

By using data from samples to make inferences and estimates about a larger population.