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#### Resources tagged with Shape, space & measures - generally similar to Cheese Cutting:

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### There are 15 results

Broad Topics > 2D Geometry, Shape and Space > Shape, space & measures - generally

### Triangles in the Middle

##### Stage: 3, 4 and 5 Challenge Level:

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

### Introducing NRICH TWILGO

##### Stage: 1, 2, 3, 4 and 5 Challenge Level:

We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?

### The Development of Spatial and Geometric Thinking: 5 to 18

##### Stage: 1, 2, 3 and 4

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the. . . .

### Arranging Squares

##### Stage: 3, 4 and 5 Challenge Level:

A task which depends on members of the group working collaboratively to reach a single goal.

### Fitting Flat Shapes

##### Stage: 5 Challenge Level:

How efficiently can various flat shapes be fitted together?

### Lawnmower

##### Stage: 4 Challenge Level:

A kite shaped lawn consists of an equilateral triangle ABC of side 130 feet and an isosceles triangle BCD in which BD and CD are of length 169 feet. A gardener has a motor mower which cuts strips of. . . .

### Natural Shapes

##### Stage: 4 Challenge Level:

How does shape relate to function in the natural world?

### Euclid? No, but Carol, Yes

##### Stage: 4

For teachers. About the teaching of geometry with some examples from school geometry of long ago.

### What Is the Circle Scribe Disk Compass?

##### Stage: 3 and 4

Introducing a geometrical instrument with 3 basic capabilities.

### Circumspection

##### Stage: 4 Challenge Level:

M is any point on the line AB. Squares of side length AM and MB are constructed and their circumcircles intersect at P (and M). Prove that the lines AD and BE produced pass through P.

### Long Short

##### Stage: 4 Challenge Level:

A quadrilateral inscribed in a unit circle has sides of lengths s1, s2, s3 and s4 where s1 ≤ s2 ≤ s3 ≤ s4. Find a quadrilateral of this type for which s1= sqrt2 and show s1 cannot. . . .

### Fitting In

##### Stage: 4 Challenge Level:

The largest square which fits into a circle is ABCD and EFGH is a square with G and H on the line CD and E and F on the circumference of the circle. Show that AB = 5EF. Similarly the largest. . . .

### Triangle Incircle Iteration

##### Stage: 4 Challenge Level:

Start with any triangle T1 and its inscribed circle. Draw the triangle T2 which has its vertices at the points of contact between the triangle T1 and its incircle. Now keep repeating this. . . .

### Arclets Explained

##### Stage: 3 and 4

This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.

### Make Your Own Solar System

##### Stage: 2, 3 and 4 Challenge Level:

Making a scale model of the solar system