Free SACE Essential Mathematics Flashcard Review
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In plane shapes, solids and nets, what does “Plane shape” mean?
A two-dimensional closed figure with length and width but no thickness.
In plane shapes, solids and nets, what does “Solid” mean?
A three-dimensional object that occupies space.
In plane shapes, solids and nets, what does “Face” mean?
A flat surface of a polyhedron.
In plane shapes, solids and nets, what does “Edge” mean?
A line segment where two faces of a polyhedron meet.
In plane shapes, solids and nets, what does “Vertex” mean?
A corner point where edges meet.
In plane shapes, solids and nets, what does “Prism” mean?
A solid with congruent parallel polygonal ends joined by parallelogram faces.
In plane shapes, solids and nets, what does “Pyramid” mean?
A solid with one polygonal base and triangular faces meeting at an apex.
School-only shapes: A prism has two congruent pentagonal ends. How many faces does it have?
Seven: two pentagonal bases and five side faces. Those side faces are rectangles when the prism is right, but parallelograms in a general oblique prism.
School-only nets: Could a square-based pyramid net have four square side faces? Diagnose the error.
No. It has one square base and four triangular faces; four square sides describe a prism-like solid instead.
School-only solids: A prism has 6 vertices on each end. Count all vertices and edges.
It has 12 vertices and 18 edges: six around each end plus six joining corresponding vertices.
In scale plans, maps and bearings, what does “Ratio scale” mean?
A scale written 1:n, where one diagram unit represents n actual units.
In scale plans, maps and bearings, what does “Linear scale factor” mean?
The multiplier relating corresponding lengths in similar drawings or objects.
In scale plans, maps and bearings, what does “Scale bar” mean?
A marked line showing the ground distance represented by a map length.
In scale plans, maps and bearings, what does “Plan” mean?
A scaled view of an object or area from above.
In scale plans, maps and bearings, what does “Straight-line distance” mean?
The shortest map distance between two points.
In scale plans, maps and bearings, what does “Route distance” mean?
The distance measured along the actual bends of a path.
In scale plans, maps and bearings, what does “True bearing” mean?
A clockwise angle measured from true north.
School-only scale: At 1:250, a plan line is 7.6 cm. Find the actual distance in metres.
7.6 × 250 = 1900 cm = 19 m.
School-only bearings: You face 060°; what is the back bearing?
240°: add 180° to 060° and retain three-digit bearing notation.
School-only model: A scale model is enlarged by factor 3 in length. What happens to area?
Area multiplies by 3² = 9, not by 3.