**"Lower Secondary"**

## Years 6 – 8 Properties of parallelograms

*By Barrie Barnard On 12 August, 2019 · Leave a Comment*

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 […]

## Years 6 – 12 Flower of Life

*By toni On 16 July, 2019 · Leave a Comment*

Describe the picture? What do you notice? Talk with your friends about it. What shapes can you see in it?

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 […]

## Years 6 – 12 Ishango Bone

*By toni On 9 July, 2019 · Leave a Comment*

The numbers 3, 5, 7, 11, 13, 17 and 19 are prime numbers. Can you make a total of 60 from four of these numbers?

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 […]

## HOW MANY TRIANGLES PUZZLE

*By toni On 23 February, 2019 · Leave a Comment*

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.

Can you find the chosen number from this square using the clues below?

1. The number is odd.

2. It is a multiple of three.

3. It is smaller than 7 x 4.

4. It has an even tens digit.

5. It is the greater of the two possibilities.

[…]

## Years 4 – 7 Two by Two Puzzle

*By toni On 25 August, 2018 · Leave a Comment*

Can you find numbers to replace the ? marks to solve this two by two multiplication puzzle? Can you explain how it works?

How does the diagram below connect with the multiplication?

Use the two grids to do the two multiplications:

72 × 25 […]

## Grades 8 and 9 Pizza

*By toni On 22 July, 2018 · Leave a Comment*

On Monday Dolly, Kapa and Lolo cut a pizza into equal sized pieces and share the pizza in the ratio 4 : 3 : 5. How many pieces were there and what fraction did each person get?

On Tuesday they buy a pizza of the same size and share it in the […]

## Years 9 – 12 Function Flow

*By toni On 1 July, 2018 · Leave a Comment*

The input to Function Machine 1 is x. Write down an expression for the output.

If the output is 7 what was the input?

In Function 2, a is constant. If the input is 4 what is the output?

The functions from Function Machines 1 & 2 are combined to give Function […]

## Years 11 – 12 Cyclic

*By toni On 20 May, 2018 · Leave a Comment*

The diagram shows a circle centre O with points P, Q, R and S on the circumference. UST is a tangent to the circle. Angle RPS = 44º and angle PSO = 32º.

Find angles xº and yº.

Click here to download the CYCLIC worksheet.

Click here for the Notes […]

## Years 7 – 9 Durer’s Magic Square

*By toni On 16 March, 2018 · Leave a Comment*

Add the columns one by one, add the rows, then add the diagonals. What do you notice?

Add the numbers in the squares at the corners of each parallelogram shown. What do you notice? Yes, so far all these totals have been 34.

In addition the diagram with the […]

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