**"Lower Secondary"**

## Years 7 – 12 Sheep Talk

*By toni On 19 August, 2020 · Leave a Comment*

In sheep talk the only letters used are B and A.

Sequences of words are formed as follows:

The first word only contains the single letter A.

To get the next word in the sequence change each A in the previous word into B and each B in the previous word […]

## Years 9 – 10 Making Sixty

*By toni On 19 August, 2020 · Leave a Comment*

Why does this fold create an angle of sixty degrees?

Make a centre crease down the length of the paper then open it up.

Next fold one corner over and onto the centre crease so that the fold line passes through the corner next to it (on the short side of the paper).

You […]

## Years 8 – 12 Elephant Dreaming

*By toni On 17 August, 2020 · Leave a Comment*

Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral which is made up of quarter circles. Watch this inspirational video.

Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles […]

## Years 7 – 10 One Step Two Steps

*By toni On 17 August, 2020 · Leave a Comment*

A staircase has 12 steps. You can go down the steps one at a time or two at time.

For example:

You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.

In how many different ways […]

## Years 5 – 9 Tangram Fractions

*By toni On 14 August, 2020 · 4 Comments*

This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.

Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]

## Years 6 – 12 Soma Cube

*By toni On 12 August, 2020 · Leave a Comment*

The picture shows the 7 pieces of the Soma Cube Puzzle. They are made from cubes glued together. Contrasting colours make the puzzle easier to solve as the aim is to assemble the pieces to give a chequerboard effect.

If you make your own puzzle then you can enjoy solving many more challenges. A large […]

## Years 6 – 9 Magic Egg Tangram Puzzle

*By toni On 10 August, 2020 · Leave a Comment*

We know birds come from eggs.

You can make many birds from the 9 puzzle pieces of the Magic Tangram Egg.

Break the egg and re-assemble the 9 pieces to hatch one of many varieties of birds.

Construction

Draw a circle with radius […]

## Years 5 – 9 Path to the Stars

*By toni On 29 July, 2020 · Leave a Comment*

Is it possible to draw a 5-pointed star without taking your pencil off the paper?

When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.

Is it possible to draw a 6-pointed star in the same way […]

## Years 4 – 7 Digit Detective

*By toni On 27 July, 2020 · Leave a Comment*

You are a detective and you have to discover what digits the question marks stand for. They can be any digit from 0 to 9 and they can be the same digit or different digits.

How will you find the missing digits?

What do you notice?

How many solutions are there to the calculations?

What clues […]

## Years 4 – 12 Symmetry Challenge

*By toni On 27 July, 2020 · Leave a Comment*

How many symmetric patterns can you make by shading whole squares in a 3 by 3 grid?

Where are the mirror lines (lines of symmetry)?

Which of your patterns also have rotational symmetry?

Here is just one pattern. Can you find more than 60 different patterns? Patterns that are […]

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