Year 10 · Core Mathematics · Semester 1
Revision resources, CAS skills practice, and worked-solution decks for the Year 10 Core Maths Semester 1 exams.
Topic lessons · Chapter 4 Surds & Chapter 6 Trigonometry
Spot the right-angled triangle hidden inside a 3D object (cube, box, pyramid, mast), redraw it in 2D, then solve with SOHCAHTOA — with Pythagoras as a warm-up step where needed.
True bearings measured clockwise from north (3-digit format), reverse bearings, and using bearings with right-triangle trig to find east, west, north and south distances.
Angles of elevation (up from horizontal) and depression (down from horizontal). Read a word problem, sketch a right-angled triangle, and answer in a sentence with correct units.
SOHCAHTOA for right-angled triangles: labelling sides, picking the right ratio, and solving for an unknown side length.
Inverse trig functions (sin⁻¹, cos⁻¹, tan⁻¹) to find an angle from two sides, with short worded applications (ladders, ramps, tunnels).
Rational vs irrational numbers, simplifying surds (e.g. √50 = 5√2), and adding and subtracting like surds.
Multiplying and dividing surds, squares of surds, and expanding brackets that contain surds using the distributive law.
Multiply top and bottom by the surd in the denominator to turn an irrational denominator into a whole number. Includes a bonus binomial-numerator section.
Per-question approach, key step, final answer, and common-error notes for Exam 1 and Exam 2. Click "Jump" inside each deck to skip to any question.
Open decks Revision LabTopic-grouped revision questions with progress tracking and a structured double-lesson plan covering algebra, geometry, probability and modelling.
Open Revision Lab CASTargeted micro-skills for the calculator-allowed paper: solving, factorising, substituting, and interpreting CAS output.
Open trainerExam format reminders