Sketch the shape and write every known angle on it before choosing an answer.
Practice test 1 is free. No card needed.
Geometry questions are solved by sketching the shape, labelling what you know, then naming the angle fact that links it. Children in Year 7 now sit the exam in Year 8 , expected in June 2027.
Checked by the SelectiveReady team on 12 October 2026 · Updated 27 October 2026 · How we check facts
Independent. Not affiliated with the Victorian Department of Education or ACER.
A geometry question gives a shape or a grid and asks for an angle, a property or where a point ends up. It sits in the Mathematics part, which shares a 60-minute sitting with Quantitative Reasoning.
ACER says the Maths part tests year-level maths knowledge and reasoning, and using maths in real-world contexts. In geometry, that means angles in triangles and tiles, and points moved around a grid.
These three are our own, from easier to harder. Each one shows the answer and the working. Read them with your child and sketch each shape as you go.
Ask which option looked right at first, and why. A missing label or an angle in the wrong corner is the usual slip behind it.
In an isosceles triangle, one angle is 40° and the other two angles are equal to each other. What is the size of each of the two equal angles?
Answer: B
Answer: B
The three angles of a triangle add to 180°. Taking away the 40° angle leaves 140°, shared equally between the other two angles, so each is 70°. 140° forgets to share it between two angles, and 100° is what you get if you wrongly make 40° one of the equal pair.
A point starts at (2, −5) on a coordinate grid. It is moved 3 units left and 1 unit up, and then given a half-turn (180°) about the origin (0, 0). Where does it end up?
Answer: A
Answer: A
Do the steps in order. Moving 3 left and 1 up takes (2, −5) to (−1, −4). A half-turn about the origin changes the sign of both numbers, giving (1, 4). (−1, −4) stops after the move, (1, −4) changes only one sign, and (−5, 6) does the half-turn first; the order matters.
A tile is shaped like a rhombus ABCD (all four sides are equal), with its corners labelled in order. Angle ABC is four times the size of angle BAD. The tile is cut in a straight line from corner A to corner C. What is the size of angle BAC?
Answer: A
Answer: A
In a rhombus, angles next to each other add to 180°, so angle BAD + 4 × angle BAD = 180°, giving angle BAD = 36° and angle ABC = 144°. Triangle ABC has AB = BC, so angle BAC = (180° − 144°) ÷ 2 = 18°. 36° is the whole of angle BAD; the cut from A to C splits it in half.
Start every geometry question with a rough sketch, because writing what you know on the shape can show the next step. These steps are ours, not ACER's, and they come from the working above.
Sketch the shape, even roughly. Write every angle and length you know on the sketch.
The angles of a triangle add to 180°. Angles next to each other in a rhombus add to 180° too.
Equal sides sit opposite equal angles. Mark them on the sketch before working out any angle.
On a grid, do each move one at a time, and write the new point after each.
Before choosing, check which angle the question names. A diagonal can halve an angle.
Each wrong option is a step left out or done in the wrong order. For each one, ask your child which step it skipped, then redo only that step.
Use the shapes and grids around you; they cost nothing.
A sketch takes time, so check it still fits at exam pace. Practice test 1 in our selective entry practice tests is free and runs at the real time. The results show which skills cost marks.
Our maths sample questions page has more worked questions. For the whole part, see VIC selective entry mathematics.
Practice test 1 marks every answer and shows results by skill: what your child already does well and the three skills to work on next.
Practise for the real test
Practice test 1 is free. Then packs from A$109 for 12 months, or A$9 a week, per exam.