### There are 11 results

Broad Topics >

Algebra > Creating and manipulating expressions

##### Age 11 to 14 Challenge Level:

We can show that (x + 1)² = x² + 2x + 1 by considering
the area of an (x + 1) by (x + 1) square. Show in a similar way
that (x + 2)² = x² + 4x + 4

##### Age 11 to 14 Challenge Level:

List any 3 numbers. It is always possible to find a subset of
adjacent numbers that add up to a multiple of 3. Can you explain
why and prove it?

##### Age 11 to 14 Challenge Level:

Imagine starting with one yellow cube and covering it all over with
a single layer of red cubes, and then covering that cube with a
layer of blue cubes. How many red and blue cubes would you need?

##### Age 11 to 14 Challenge Level:

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

##### Age 11 to 14 Challenge Level:

Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

##### Age 11 to 16 Challenge Level:

A task which depends on members of the group noticing the needs of
others and responding.

##### Age 11 to 14 Challenge Level:

Create some shapes by combining two or more rectangles. What can
you say about the areas and perimeters of the shapes you can make?

##### Age 11 to 16

How to build your own magic squares.

##### Age 11 to 16 Challenge Level:

Account of an investigation which starts from the area of an
annulus and leads to the formula for the difference of two squares.

##### Age 11 to 16 Challenge Level:

Jo has three numbers which she adds together in pairs. When she
does this she has three different totals: 11, 17 and 22 What are
the three numbers Jo had to start with?”

##### Age 11 to 14 Challenge Level:

Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?