Units, Rounding and Graphs

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) Higher Tier syllabus. For the majority of these questions, students are required to interpret the context and use their reasoning and problem solving skills. The 183 questions in this booklet cover all grades of the new GCSE curriculum and can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. The worked answers also show students how to communicate their reasoning and calculations. Calculators are allowed for the questions in this booklet.
Topics covered in this booklet are: units of time, compound units, metric conversion, imperial conversions (conversion factors are given in most cases), converting compound units, scale involving length, area and volume, evaluating numerical expressions, rounding, estimating answers, upper and lower bounds, including bounds of compound units, distance-time graphs, speed-time graphs, calculation/estimation and interpretation of gradients of graphs, calculation/estimation and interpretation of areas underneath graphs, including the Trapezium Rule.
This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.