Each student should have a stage 3 Sierpinski triangle of edge length about 6.5 cm and a colouring pen, and should colour their triangle as shown by the black filling in the small diagram.

The class will make poster of a stage [...]]]>

2. What is the area enclosed by the stage 2 squareflake? What about the stages 3 and 4 squareflakes?

3. If replacing each line segment on the edge with the zig-zag is [...]]]>

Grade 5 MULTIPLICATION 3 DIGITS BY 3 DIGITS

Grade 6 REVISION OF INVERSE OPERATIONS +,- AND ×,÷

Grade 7 GENERAL REVISION

Grade 8 REVISION OF FRACTIONS DECIMALS AND PERCENTAGES

Grade 9 REVISION OF QUADRILATERALS

Grade 10 MEASUREMENT

Grade 11 PROBABILITY

Grade [...]]]>

Take a large piece of backing paper, and either draw an equilateral triangle with edges of length 27 cm or cut a triangle from coloured paper and stick it on [...]]]>

She lined them up and put green icing on every second biscuit.

She put a red cherry on every third biscuit and a white chocolate button on every fourth biscuit.

How many biscuits had no decoration? How [...]]]>

The smallest pyramid is made from [...]]]>

You will need a cut-out paper circle (about 12cm diameter).

Use a circle that does not show the centre. Fold your circle along a diameter. Mark the ends A and B. Now unfold your circle and then fold again along a different diameter and mark the [...]]]>Shade the hexagons where the number inside is odd all in one colour. Using a contrasting colour, [...]]]>

A large piece of land, divided into small plots, belongs to 5 different farmers.

Below is a plan of the area as the land is presently divided.

All the plots labelled (a) belong to farmer (a).

All the plots labelled (s) belong to farmer (s) and so on.

2. Find the areas in square units of the 3 pieces blue, green and brown.

3. Build one big geometrical shape using all 10 pieces, placing them edge to edge. Draw [...]]]>

Note: The symbols may be slightly different. Use the subtle differences in the images in working out your answer.

Click here to download the Notes for Teachers.

This puzzle is adapted from puzzlebrain.com.

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We take it that you know that in a parallelogram both pairs of opposite sides are parallel.

In this investigation you will discover some other properties of parallelograms.

Step 1: Use two rulers with different widths to draw a parallelogram on tracing paper or baking paper.

Make sure that it is not a [...]]]>

Describe the different symmetries. Draw the picture yourself. Draw your own designs using this idea. Can you explain how this 2-dimensional picture appears to show a 3-dimensional object?

You could use paperclip [...]]]>

One of three columns of tally marks on The Ishango Bone gives the answer to this question. Found in the Ishango region of the Democratic Republic of [...]]]>

What do you notice about this sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21 … ? [...]]]>

Continue the patterns to fill the empty squares.

Write a list describing all the patterns that you see.

What do you notice about the numbers on squares of the same colour?

Would the patterns [...]]]>

STEP 1

1a) Double click on the picture above to start the movie showing how to draw a circle using the paperclip compass.

1b) Draw 2 circles of the same radius with centres A and B so that each circle goes through the centre of the other [...]]]>

From one corner of a box cut squares all exactly the same size to form 3 faces of a [...]]]>