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Spatial Reasoning Shapes Workshop

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Spatial Reasoning Shapes Workshop

Solve each challenge. Look closely at the shapes, explain your thinking where asked, and use the drawing spaces to show your ideas.

Build, split and reflect

1.A large triangle is split by three straight lines from its centre to its corners. How many smaller triangles are made?

2.Which set of shapes can be joined edge-to-edge to make a regular hexagon? Choose one.

6 equal equilateral triangles
2 squares
3 rectangles
1 circle and 2 triangles

3.A square tile has a vertical line drawn from the midpoint of its top edge to the midpoint of its bottom edge. Is this a line of symmetry?

True
False

4.Draw one line of symmetry on the square shown. Then name one other line of symmetry it has.

Shapes in objects

5.A cube-shaped gift box has flat faces. What 2D shape is each face?

6.A triangular prism has two triangular ends and three rectangular side faces. How many faces does it have altogether?

7.A net has 6 equal squares arranged in a cross: four squares in a row, with one square above and one below the second square. Which 3D object can this net fold into?

Cube
Cylinder
Triangular prism
Cone

Shape patterns

8.A beachcomber makes a repeating pattern with shells: circle, triangle, square, circle, triangle, , , . Fill in the next three shapes.

9.Make your own repeating pattern using at least three different 2D shapes. Draw it, then write the repeating unit—for example, triangle, circle, square.

10.A stream-side pattern repeats square, square, triangle. Which shape comes 8th in the pattern?