Each worksheet prints cleanly on A4 or Letter. Answer keys are on a separate page.

The Lumenary · K–2

Shapes

Name: ______________________

Date: ______________________

You will learn to

Name circles, triangles, squares and rectangles, and cubes, cylinders, cones and spheres, whatever their size, colour or which way they face
Count the sides and corners of flat shapes, and the faces, edges and corners of solid shapes
Sort shapes by a rule, such as "has four sides", and explain the rule
Explain why every square is a rectangle, but not every rectangle is a square
Put shapes together to make new shapes, and cut shapes into smaller shapes

1.
Which of these are triangles? Choose all the triangles.
- A.A small blue shape with 3 straight sides, pointing up
- B.A big red shape with 3 straight sides, pointing down
- C.A long, thin shape with 3 straight sides
- D.A shape with 2 straight sides and 1 curved side
- E.Three straight lines that do not join up — there is a gap
2.
How many corners does a rectangle have?
3.
Kofi turns a square tile so that it stands on one corner. His friend says, "Now it's a diamond, not a square." Is the tile still a square?
- A.Yes, it is still a square
- B.No, now it is a different shape
4.
Gideon's game: is this statement true or false? "Every square is a rectangle."
- A.True
- B.False
5.
Gideon's game again: "Every rectangle is a square." True or false?
- A.True
- B.False
6.
A dice is a cube. How many flat faces does a cube have?
7.
Which solid shape can roll, and can also be stacked into a tower of the same shape?
- A.Cube
- B.Sphere
- C.Cylinder
8.
Margaret's puzzle: on a grid of 3 dots by 3 dots, how many squares can you draw with a dot at every corner? Tilted squares count too!
9.
A hexagon like a honeycomb cell can be cut from its middle to each corner. How many triangles do you get?

Answer key — Shapes

1.
The three shapes with three straight sides that join up are triangles: the small blue one, the big red one pointing down, and the long thin one. The shape with a curved side is not a triangle, and neither are three lines with a gap.
2.
A rectangle has 4 corners — one where each pair of sides meets. It has 4 sides too.
3.
Turning a shape does not stretch it or bend it, so every side keeps its length and every corner stays a square corner. The tile is still a square. "Diamond" is just an everyday name for a square (or rhombus) seen standing on a corner.
4.
True. A rectangle is a shape with four straight sides and four square corners. A square has all of these (and, extra, its sides are all the same length). So every square is a rectangle — a special one.
5.
False. A rectangle 3 steps long and 1 step tall has four square corners, so it is a rectangle, but its sides are not all the same length, so it is not a square. This one example — a counterexample — shows the statement is false.
6.
A cube has 6 faces: top, bottom, front, back, left and right. That is why a dice has the numbers 1 to 6 — one on each face. (A cube also has 12 edges and 8 corners.)
7.
A cylinder has a curved face, so it rolls on its side, and two flat faces, so cylinders can stand on top of each other — like tins of beans on a shop shelf.
8.
There are 6 squares: 4 small upright squares, 1 big upright square around the outside, and 1 tilted square that joins the middle dots of the four sides. Margaret's program finds exactly these 6, and on a 4 × 4 grid it finds 20.
9.
A hexagon has 6 corners. Cutting from the middle to each corner makes 6 triangles, one for each side of the hexagon. Putting the 6 triangles back together builds the hexagon again.