Sun
14 JunEx 5G
14 JunEx 5G
Parabolas — Solving Quadratics by Factorising
The Null Factor Law, and solving quadratic equations by factorising — common factor, monic and non-monic, and difference of two squares.
Year 10 · Core Mathematics · Semester 1
Year 10 Core Maths
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
Lessons, worksheets & solutions
Sun
14 JunEx 5H
14 JunEx 5H
Parabolas — Applications of Quadratics
Setting up and solving worded problems with quadratic equations, and rejecting answers that don't make sense in context (like a negative length).
Sun
14 JunEx 5I
14 JunEx 5I
Parabolas — Completing the Square
Solving quadratics by completing the square, including answers left in exact surd form.
Sun
14 JunEx 5J
14 JunEx 5J
Parabolas — Quadratic Formula & Discriminant
The quadratic formula, and using the discriminant to tell whether an equation has two, one or no solutions.
Sun
14 JunEx 7A
14 JunEx 7A
Parabolas — Exploring Parabolas
The basic parabola and its key features — turning point, axis of symmetry and intercepts — plus the effect of dilations and reflections.
Sun
14 JunEx 7B
14 JunEx 7B
Parabolas — Sketching using Transformations
Sketching parabolas from turning-point form by shifting, stretching and reflecting the basic parabola.
Sun
14 JunEx 7C
14 JunEx 7C
Parabolas — Sketching using Factorisation
Sketching parabolas by factorising to find the x-intercepts, then locating the axis of symmetry and the turning point.
Sun
14 JunEx 7D
14 JunEx 7D
Parabolas — Sketching by Completing the Square
Completing the square to find the turning point, then sketching the parabola with all key features labelled.
Sun
14 JunEx 7E
14 JunEx 7E
Parabolas — Quadratic Formula & Discriminant (graphs)
Sketching parabolas using the quadratic formula for irrational intercepts, and the discriminant to find how many x-intercepts there are.
Sun
14 JunEx 7F
14 JunEx 7F
Parabolas — Applications of Parabolas
Maximum and minimum problems — projectile paths and areas — using the turning point and intercepts to answer in context.
Sun
14 JunEx 7G
14 JunEx 7G
Parabolas — Intersection of Lines & Parabolas
Finding where a line and a parabola meet by solving them together, and using the discriminant to tell whether they cross, touch or miss.
REVISIONWhole
unitCh 4 & 6
unitCh 4 & 6
Surds & Trigonometry — Unit summary
One-stop revision for the whole unit: a cheat sheet of every rule, a "which technique?" decision tree, six mixed worked examples, four short walkthroughs and a 10-question auto-marked quiz. Start here before a test.
CHALLENGEExtension
★★★Ch 4 & 6
★★★Ch 4 & 6
Surds & Trigonometry — Challenge questions
Harder, multi-step problems for when the standard worksheet feels easy: conjugate rationalising, surd equations, two-observer trig, bearings that form a right angle, and 3D pyramids. Hints and full worked solutions on the page — a real bridge into Year 11 Methods.
Fri
05 JunEx 6E
05 JunEx 6E
Trigonometry — Applications in Three Dimensions
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.
Thu
04 JunEx 6D
04 JunEx 6D
Trigonometry — Directions and Bearings
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.
Wed
03 JunEx 6C
03 JunEx 6C
Trigonometry — Applications in Two Dimensions
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.
Mon
01 JunEx 6A
01 JunEx 6A
Trigonometry — Trigonometric Ratios
SOHCAHTOA for right-angled triangles: labelling sides, picking the right ratio, and solving for an unknown side length.
Mon
01 JunEx 6B
01 JunEx 6B
Trigonometry — Finding Unknown Angles
Inverse trig functions (sin⁻¹, cos⁻¹, tan⁻¹) to find an angle from two sides, with short worded applications (ladders, ramps, tunnels).
Wed
27 MayEx 4A & 4B
27 MayEx 4A & 4B
Surds — Simplifying & Adding Like Surds
Rational vs irrational numbers, simplifying surds (e.g. √50 = 5√2), and adding and subtracting like surds.
Fri
29 MayEx 4C
29 MayEx 4C
Surds — Multiplying & Dividing
Multiplying and dividing surds, squares of surds, and expanding brackets that contain surds using the distributive law.
Fri
29 MayEx 4D
29 MayEx 4D
Surds — Rationalising the Denominator
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.
Sem 1 Exam review decks
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 LabSemester 1 Revision Lab
Topic-grouped revision questions with progress tracking and a structured double-lesson plan covering algebra, geometry, probability and modelling.
Open Revision Lab CASExam 2 CAS Skills Trainer
Targeted micro-skills for the calculator-allowed paper: solving, factorising, substituting, and interpreting CAS output.
Open trainerExam format reminders
Year 10 Core Semester 1 exams
- Exam 1: 60 minutes writing time · NO calculator · 40 marks · 12 short-answer questions.
- Exam 2: 90 minutes writing time · CAS allowed · 60 marks · 20 multiple-choice + 4 extended-response.
- Both exams include 15 minutes reading time and a supplied formula sheet.
- Standard writing equipment in a transparent case · no phones, watches, smart devices, food, bags, headphones, or electronic dictionaries.