S.5 Pure Mathematics Recess Assignment: Algebra and Coordinate Geometry

This one-page holiday assignment is for Senior 5 Pure Mathematics learners. Most of the questions are algebra. Learners prove a surd identity, solve simultaneous equations in two and three unknowns, and solve equations involving square roots. They also change the base of logarithms and use this to solve log equations. Several problems cover arithmetic and geometric progressions, such as finding first terms, common differences, common ratios and sums. A short geometry section asks learners to find where a line meets a curve, find lines at a given angle to another line, and work with a perpendicular bisector. It works well for revision and independent practice during the school break.