Here is one example: F=1, O=9, T=4, B=6, A=5, L=3, G=8, M=2, E=7

How many solutions can you find?

There are 224 solutions altogether.

You can work with pencil and [...]]]>

Suppose you throw a double one. On the next throw, is your chance of throwing a double one the same, more likely or less [...]]]>

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 [...]]]>

Grade 5 GAME OF PIG

Grade 6 FIFTEEN GAME

Grade 7 FIVE IN A LINE GAME

Grade 8 FOOT + BALL = GAME

Grade 9 TARGET GAME

Grade 10 FUNCTION GAME

Grade 11 ICOSAHEDRON PUZZLE

Grade 12 PERMUTATION PUZZLE

[...]]]>

For scissors hold out 2 fingers like a pair of scissors.

For paper hold your hand out flat.

For rock clench your hand into a fist.

Count 1 , 2, 3 and then, at the same time, both players make one of the signs: scissors, or paper or [...]]]>

This picture shows a rectangular prism made from 36 cubes.

How many different rectangular prisms can you make from 36 cubes?

Do they all have the same volume? Why or why not?

Do they all have the same surface area? Why or why not?

Take the area of each face of [...]]]>

In one week, new data [...]]]>

1.1 The square grids below the continuous line depict negative numbers and those above the line positive numbers. Study the square grids shown above with black squares forming a pattern. How is the pattern growing? Create square grids 9, 10 and 11; complete them with black squares to further develop the [...]]]>

What do you notice about the connections between the equations: ☐ × 8 + 1 = 9 etc. and the calculations: (9 – 1) ÷ 8 [...]]]>

What is the [...]]]>

The table below has been jumbled up. Match the graphs labelled f1 to f9 to their equations in the table below and to the descriptions of the transformations of $f(x) = \frac{1}{x}$

Download the worksheet, cut up a copy of [...]]]>

AB = BC= CD = AE

BE is parallel to CF

EI is parallel to FJ

GE is parallel to AD

Can you find the side lengths of the different shapes?

Justify your answers.

The area of JGK is 20 cm².

Can [...]]]>

Each player has 5 counters, bottle tops, buttons or stones that look different from the counters used by the other player.

To win the player must be the first to get his or her 5 counters [...]]]>

Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .

2. What do you notice about the difference between squares of consecutive numbers?

Compare the differences between squares of numbers that differ by 1 [...]]]>

What is the value of x?

Click here to download the USE AREA TO FIND x worksheet.

Click here for the Notes for Teachers.

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Draw a circle with any radius you choose, and then draw 4 tangents making a quadrilateral with the circle inside touching the quadrilateral at 4 points.

Measure the edge lengths of the quadrilateral ABCD.

What do you [...]]]>

These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.

Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base [...]]]>

1. What type of an equation is this?

2. Remember the general form of an equation of this nature: $y={a x }^{ 2 }-bx-c$

When $a > 0$ the graph is $\cup$ shaped and when $a < 0$ it is $\cap$ shaped. What is the situation in our problem?

[...]]]>Explain your reasoning.

Click here for teacher’s notes

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