**"Lesson Activities"**

## 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 worksheet

## 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 […]

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.

[…]

## Grades 4 to 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 10 to 12 SUM ON

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

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?

## Grades 11 and 12 Solve the triangle

*By toni On 18 August, 2018 · Leave a Comment*

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.

## Grades 9 to 12 Same area

*By toni On 10 August, 2018 · Leave a Comment*

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

## Grades 11 and 12 Kite

*By toni On 27 July, 2018 · Leave a Comment*

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 […]

## 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 […]

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