BMAT Maths Checklist & Specification

The 7 topics in the Maths section would be classed as follows:

1. Units: Use standard units of mass, length, time, money and other measures. Use compound units such as speed, rates of pay, unit pricing, density and pressure, including using decimal quantities where appropriate.
2. Number: Order positive and negative integers, decimals and fractions and understand symbols. Apply addition, subtraction, multiplication and division to integers, decimals, simple fractions (proper and improper) and mixed numbers. Understand prime numbers. Recognise operations, including inverse operations. Use cancellation and priority of operations. Use the terms: square, positive and negative square root, cube and cube root. Use index laws. Calculate standard index form. Convert between terminating and recurring decimals, percentages and fractions. Calculate fractions, surds and multiples of π. Round numbers and measures and use approximation to produce estimates.
3. Ratio and proportion: Understand and use scale factors, scale diagrams and maps. Use ratio notation. Apply ratio to real contexts and problems. Interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively. Work with percentages greater than 100%. Use direct and inverse proportion. Recognise and interpret graphs. Interpret growth and decay problems.
4.  Algebra: Use algebraic notation with index laws multiplication and division of integer, fractional, and negative powers. Factorise and simplify expressions into formulae. Understand the difference between an equation and an identity. Interpret gradients and intercepts of linear functions. Identify relationships between gradients. Interpret roots, intercepts and turning points of quadratic functions graphically. Interpret graphs and gradients. Solve quadratic and linear equations. Use term-to-term or position-to-term rules.

5. Geometry: Use terms and notation: points, lines, line segments, vertices, edges, planes, parallel lines, perpendicular lines, right angles, subtended angles, polygons. Calculate interior and exterior angles of polygons. Construct congruent and similar shapes. Describe rotations, reflections and translations. Use Pythagoras’ theorem. Know properties of cyclic quadrilaterals. Solve geometrical problems on 2-dimensional coordinate axes. Know shape terminology. Use maps and scale drawings with three-figure bearings. Calculate perimeters, areas and volume of circles, spheres, pyramids, cones and composite solids Apply congruence and similarity. Know trigonometric ratios. Calculate and use vectors to construct geometric arguments and proofs.
6. Statistics: Interpret tables, charts and diagrams. Construct diagrams for grouped discrete data and continuous data. Use the term frequency density. Calculate the mean, mode, median and range. Describe a population using statistics. Understand summary values. Interpret scatter graphs of bivariate data. Recognise correlation. Draw estimated lines of best fit. Interpolate and extrapolate apparent trends.
7. Probability: Using tables and frequency trees. Calculate expected outcomes. Relate relative expected frequencies to theoretical probability. Apply exhaustive set of outcomes sum to one. Venn diagrams and tree diagrams. Construct theoretical possibility spaces. Understand conditional probability and use expected frequencies with two-way tables, tree diagrams and Venn diagrams.