## Grades 7 to 12 Transformation Art

*By toni On August 27, 2016 · Leave a Comment*

The wall painting on the house in this photo shows geometric transformations.

Assuming that the parts of the design that look the same are identical and that they only appear different because of the perspective in the photo, describe in detail all the transformations and symmetries that you see in the different […]

## Grades 9 to 12 Handshakes

*By toni On August 26, 2016 · Leave a Comment*

Everyone in the class must shake hands with everyone else and say hello. Everyone must join in. How many handshakes will there be altogether?

This will be difficult to count, especially if you have a large class. Try the problem in small groups and then compare different methods for finding the answers, or try it […]

## Grades 9 to 12 Triangle Number Picture

*By toni On August 26, 2016 · Leave a Comment*

Is a picture worth a thousand words (as the saying goes)?

This picture shows how you can fit 2 identical copies of a triangle together to form a rectangle.

Can you use it to find the number of dots in the fifth triangle number without counting the dots?

Can you find the […]

## Grades 7 to 12 Mystic Rose

*By toni On August 26, 2016 · Leave a Comment*

What can you see in this diagram?

Could you draw it? Could you draw a similar diagram with just 5 or 6 points around the outside? Try it?

How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]

## Grades 11 and 12 Bendy Quad

*By toni On August 12, 2016 · Leave a Comment*

Four rods are hinged at their ends to form a convex quadrilateral with sides of length 3, 4, 5 and 6 (in that order). Investigate the different shapes that the quadrilateral can take if the polygon is always convex.

How do the angles change as the bendy quad changes shape?

Can any […]

## Grades 9 to 12 Mathsland Lottery

*By toni On August 11, 2016 · Leave a Comment*

In the Mathsland Lottery, 49 balls are numbered 1 to 49 and 6 balls are chosen at random without replacing any of the balls so that 6 different winning numbers are chosen.

Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]

## Grades 9 to 12 Lucky Numbers

*By toni On August 11, 2016 · Leave a Comment*

In the Lucky Numbers Game 6 balls are numbered 1 to 6 and 3 balls are chosen at random without replacing any of the balls so that 3 different winning numbers are chosen.

When you play this game you get a ticket with 3 numbers written on it.

You win a prize if […]

## Grades 7 to 9 Matching Equations

*By toni On August 11, 2016 · Leave a Comment*

Match each of the five word problems below to its equation and solution.

Make up your own word problem, equation and solution.

Click here for a sheet giving 15 cards that can be cut out for sorting.

## Grades 8 to 12 Pythagoras Jig-Saw

*By toni On August 11, 2016 · Leave a Comment*

The right angled triangles numbered 1, 2, 3 and 4 in the diagrams all have sides of length a, b and c. They are identical (congruent) copies of each other.

These 4 congruent triangles are arranged in the squares shown in the diagrams all of which […]

## Grades 7 to 9 Letter Land Puzzle

*By toni On August 11, 2016 · Leave a Comment*

The letters A, B, C, D, E, F, G and H correspond to the numbers from 0 to 7 with no repetitions.

Use the clues that A+C=A and F×D=F to find the values of two letters.

Use the clues B−G=G and B/H=G to find the value of another three letters.

Use the clues A+H=E […]

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