Resources tagged with: Constructions

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There are 22 results

Broad Topics > Transformations and constructions > Constructions

Close to Triangular

Age 14 to 16
Challenge Level

Drawing a triangle is not always as easy as you might think!

The Square Under the Hypotenuse

Age 14 to 16
Challenge Level

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

Moving Squares

Age 14 to 16
Challenge Level

How can you represent the curvature of a cylinder on a flat piece of paper?

Three Tears

Age 14 to 16
Challenge Level

Construct this design using only compasses

Two Points Plus One Line

Age 14 to 16
Challenge Level

Draw a line (considered endless in both directions), put a point somewhere on each side of the line. Label these points A and B. Use a geometric construction to locate a point, P, on the line,. . . .

Triangle Midpoints

Age 14 to 16
Challenge Level

You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

Squirty

Age 14 to 16
Challenge Level

Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.

LOGO Challenge 8 - Rhombi

Age 7 to 16
Challenge Level

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

The Farmers' Field Boundary

Age 11 to 14
Challenge Level

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

Pareq Exists

Age 14 to 16
Challenge Level

Prove that, given any three parallel lines, an equilateral triangle always exists with one vertex on each of the three lines.

Circle Scaling

Age 14 to 16
Challenge Level

Describe how to construct three circles which have areas in the ratio 1:2:3.

Attractive Rotations

Age 11 to 14
Challenge Level

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Folding Squares

Age 14 to 16
Challenge Level

The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?

Half a Triangle

Age 14 to 16
Challenge Level

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

The Medieval Octagon

Age 14 to 16
Challenge Level

Medieval stonemasons used a method to construct octagons using ruler and compasses... Is the octagon regular? Proof please.

Folding Fractions

Age 14 to 16
Challenge Level

What fractions can you divide the diagonal of a square into by simple folding?

Constructing Triangles

Age 11 to 14
Challenge Level

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

LOGO Challenge 2 - Diamonds Are Forever

Age 7 to 16
Challenge Level

The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.

Flip Your Mat!

Age 7 to 14
Challenge Level

What shape and size of drinks mat is best for flipping and catching?

Mathematical Patchwork

Age 7 to 14

Jenny Murray describes the mathematical processes behind making patchwork in this article for students.

Curvy Areas

Age 14 to 16
Challenge Level

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

Cool as Ice

Age 11 to 16
Challenge Level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.