BGCSE Scientific Mathematics 1237 study guide
BGCSE Scientific Mathematics 1237 · Work through your exam, one topic at a time.
BGCSE Scientific Mathematics 1237 is a school-leaving mathematics qualification for candidates who need a numerate, technically oriented result rather than a purely academic one. It suits students finishing senior secondary schooling, candidates preparing for further study in science, engineering, health or business, and adults returning to formal study who need a recognised mathematics credential. The BGCSE Scientific Mathematics 1237 study guide has 6 sections and about 1,937 words.
01Number and Numeration
Number and numeration rewards precision rather than speed. A candidate needs fluent work with place value, standard form (scientific notation), rounding and significant figures, fractions, decimals and percentages, ratio and proportion, directed numbers, factors, multiples, primes, squares and cubes, and the laws of indices and surds.
326 words, about 2 min02Algebra and Algebraic Processes
Algebra is the language in which the rest of the paper is written. You must simplify expressions by collecting like terms, expand single and double brackets, factorise (common factor, difference of two squares, quadratic trinomials), rearrange formulae, solve linear equations and inequalities, solve simultaneous equations by elimination or substitution, and solve quadratic equations by factorising or by formula.
326 words, about 2 min03Geometry and Spatial Sense
Geometry questions test both reasoning and recall. You need the angle facts for straight lines, points, triangles and parallel lines (alternate, corresponding, co-interior), properties of polygons including interior and exterior angle sums, symmetry, congruence and similarity, circle theorems, bearings, and coordinate geometry of straight lines.
325 words, about 2 min04Measurement
Measurement covers length, mass, capacity, time, money, temperature, perimeter, area, surface area and volume, together with unit conversion and compound measures such as speed, density and rates. You must know the area formulae for triangles, parallelograms, trapezia and circles, the volume formulae for prisms, cylinders and spheres, and how to work with composite shapes.
312 words, about 2 min05Statistics and Probability
Statistics requires you to collect, organise, summarise and interpret data. You must be able to read and construct tables, bar charts, pie charts, histograms and cumulative frequency curves, and to calculate the mean, median, mode and range for raw data, frequency tables and grouped data (using midpoints).
309 words, about 2 min06Relations, Functions and Graphs
This domain connects equations to pictures. You must plot and read straight-line graphs, find gradient and intercept from y = mx + c, determine the equation of a line from two points or from a graph, interpret distance–time and velocity–time graphs, draw and read quadratic, cubic and reciprocal curves, use function notation, find inverse and composite functions, and solve equations graphically by reading intersections.
339 words, about 2 min