**toni**

## Years 4 to 12 Table of Tables

*By toni On 3 July, 2019 · Leave a Comment*

What patterns do you notice in this table?

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 […]

## Grades 8 to 12 A Mathematical Lens

*By toni On 2 July, 2019 · Leave a Comment*

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 […]

## Grades 9 to 12 Pyramids in a Cube

*By toni On 29 June, 2019 · Leave a Comment*

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 […]

## Grades 8 to 12 Cuboids and roots

*By toni On 29 June, 2019 · Leave a Comment*

Copy this diagram. 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.

Why do the diagonals of a unit cube have lengths √2 and √3?

What are the lengths of the […]

## Apply for an AIMSSEC course.

*By toni On 7 April, 2019 · 4 Comments*

Teaching in under resourced communities presents many challenges. AIMSSEC’s mission is to empower teachers, teacher trainers and subject advisers to combat poverty by bringing new skills, new hopes and new horizons to African schools and raising standards of mathematics. Courses are taught by an international team of mathematics education experts. Residential courses for subject leader […]

## SANDWICHES PUZZLE

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

Suppose you have two 1’s, two 2’s, and two 3’s.

Make ‘sandwiches’ with the 1’s, 2’s and 3’s as slices of bread by arranging these six digits in a list so:

between the two 1’s there is one digit giving 1?1; between the two 2’s there there are two digits giving 2??2; between the two […]

## ONE THREE FIVE SEVEN GAME

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

This 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 any number of objects from that row.

[…]

## 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.

## PERMUTATION PUZZLE

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

How many different ways can you arrange 3 coloured counters in a row? Record each arrangement.

Now try 4 counters.

Click here to download a worksheet.

Resources: Coloured counters. Bottle tops are good for this.

## FIFTEEN GAME

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

This is a game for two players (or a class split into two teams).

Take it in turns to choose one of the numbers 1 to 9. It is now your number and your opponent cannot choose it. Each number can be chosen only once.

To win, be the first to pick 3 numbers that […]

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