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Broad Topics > Measures and Mensuration > Measures - generally

Thousands and Millions

Stage: 3 Challenge Level:

Here's a chance to work with large numbers...

All in a Jumble

Stage: 3 Challenge Level:

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Qqq..cubed

Stage: 4 Challenge Level:

It is known that the area of the largest equilateral triangular section of a cube is 140sq cm. What is the side length of the cube? The distances between the centres of two adjacent faces of. . . .

Tray Bake

Stage: 3 Challenge Level:

My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?

Make Your Own Solar System

Stage: 2, 3 and 4 Challenge Level:

Making a scale model of the solar system

Helicopters

Stage: 2, 3 and 4 Challenge Level:

Design and test a paper helicopter. What is the best design?

Does This Sound about Right?

Stage: 3 Challenge Level:

Examine these estimates. Do they sound about right?

Carbon Footprints

Stage: 4 Challenge Level:

Is it really greener to go on the bus, or to buy local?

Uniform Units

Stage: 4 Challenge Level:

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?

Scientific Measurement

Stage: 4 Challenge Level:

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

More or Less?

Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

Parallel Parking

Stage: 4

Scientist Bryan Rickett has a vision of the future - and it is one in which self-parking cars prowl the tarmac plains, hunting down suitable parking spots and manoeuvring elegantly into them.

The New Millennium: When Did it Begin?

Stage: 2

Not everybody agreed that the Third Millennium actually began on January 1st 2000. Find out why by reading this brief article.

The Moving Planets

Stage: 2 and 3

Mathematics has always been a powerful tool for studying, measuring and calculating the movements of the planets, and this article gives several examples.

Weigh to Go

Stage: 1 and 2

This article for teachers recounts the history of measurement, encouraging it to be used as a spring board for cross-curricular activity.

The Pi Are Square

Stage: 3 Challenge Level:

A circle with the radius of 2.2 centimetres is drawn touching the sides of a square. What area of the square is NOT covered by the circle?

Kite

Stage: 3 Challenge Level:

Derive a formula for finding the area of any kite.

Farhan's Poor Square

Stage: 4 Challenge Level:

From the measurements and the clue given find the area of the square that is not covered by the triangle and the circle.

Right Time

Stage: 3 Challenge Level:

At the time of writing the hour and minute hands of my clock are at right angles. How long will it be before they are at right angles again?

Get Cross

Stage: 4 Challenge Level:

A white cross is placed symmetrically in a red disc with the central square of side length sqrt 2 and the arms of the cross of length 1 unit. What is the area of the disc still showing?

Two circles of equal size intersect and the centre of each circle is on the circumference of the other. What is the area of the intersection? Now imagine that the diagram represents two spheres of. . . .

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