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Shapes
im 2-dimensional shapes inquiry 
Shapes and circles im Overlapping shapes inquiry
Angles and shapes
im 4 pentagons inquiry
im 12 equilateral triangles
Angles
im Parallel lines inquiry
Area
im Equal areas inquiry
im A square fits into a circle better than a circle fits into a square.
im The areas of a rectangle, a triangle and a circle are equal.
im Fraction of a shape inquiry
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Area and perimeter
im 4 by 3 rectangle inquiry
Volume and surface area im The surface area of a cuboid can never be less than its volume.
Volume of a cylinder
im For a cylinder of volume πr2h, r + h = n. Given n, the maximum volume occurs when r and h are integers.
Enlargement
im Enlargement inquiry 
Scale factors
im Scale factors inquiry
The surface area and volume of cube B are
twice the surface area and volume of cube A.
Reflections and coordinates
im If point (a,b) is reflected in the line y = x, then the image will be at (b,a). Combined transformations
im If you reflect a shape twice in two different lines of reflection, then you can map the object onto the image with one transformation.
Pythagoras' Theorem and trigonometry
im Right-angled triangles inquiry
Four scalene triangles
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