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"Lesson Activities"
To make a model showing how cubes are made up of three square based pyramids, you will need a cardboard box, some string, some colouring pens and a knife or scissors to cut the box.
From one corner of a box cut squares all exactly the same size to form 3 faces of a cube, […]
Copy this diagram. Why do the diagonals of a unit cube have lengths √2 and √3?
To draw a cube first draw a square, then draw another square the same size that looks as if it is behind the first square, then join the vertices with four parallel lines.
What are the lengths […]
ONE THREE FIVE SEVEN is a game for 2 players. You should have 16 objects.
Arrange the objects in 4 rows with 7 on the bottom row, then a row of 5, then 3, then 1 at the top.
Players take turns to choose a row and to remove at least one […]
How many triangles can you find? Look carefully, there may be more than you think!
Click here to download a large copy of the triangle.
Click here to download a sheet to colour in your solutions.
The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms.
What is the sum of the first 30 terms?
The area of triangle PQR is 3√3 square centimetres. Angle PRQ is 60 degrees and RQ is 4 centimetres longer than PR.
Find the length of PQ.
Draw ΔPQR accurately.
Calculate all the angles in the triangle.
The rectangles shown are the same area. Find the area.
Make up some similar questions of your own.
Click here for the Notes for Teachers
Take a sheet of A4 paper. First fold the top left corner to meet the bottom edge and press the fold flat. Then fold the top right corner to meet the edge that you folded down.
Can you prove that the quadrilateral you have made is a kite?
Can you find the perimeter of the […]
On Monday Dolly, Kapa and Lolo cut a pizza into equal sized pieces and share the pizza in the ratio 4 : 3 : 5. This means that there were 12 pieces and Dolly ate one third, Kapa ate one quarter and Lolo ate five twelfths of the pizza.
On Tuesday they […]
Explain your findings about the four lines in this diagram and their gradients.
Match each sketch graph from column A below with a description and a fact about gradients from the other two columns.
Click here for the Notes for Teachers.
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