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A Question of Scale

Stage: 4 Short Challenge Level:

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Investigating the Dilution Series

Stage: 4 Challenge Level:

Which dilutions can you make using only 10ml pipettes?

Approximately Certain

Stage: 4 and 5 Challenge Level:

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Choose Your Units

Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

Big and Small Numbers in the Living World

Stage: 3 and 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Guessing the Graph

Stage: 4 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Global Warming

Stage: 4 Challenge Level:

How much energy has gone into warming the planet?

Constantly Changing

Stage: 4 Challenge Level:

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Big and Small Numbers in the Physical World

Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

More or Less?

Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

Does This Sound about Right?

Stage: 3 Challenge Level:

Examine these estimates. Do they sound about right?

Big and Small Numbers in Biology

Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

Counting Dolphins

Stage: 4 Challenge Level:

How would you go about estimating populations of dolphins?

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

How Do You React?

Stage: 4 Challenge Level:

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

Big and Small Numbers in Physics

Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

Scientific Measurement

Stage: 4 Challenge Level:

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

Construct the Solar System

Stage: 4 and 5 Challenge Level:

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Electric Kettle

Stage: 4 Challenge Level:

Explore the relationship between resistance and temperature

Investigating Epidemics

Stage: 3 and 4 Challenge Level:

Simple models which help us to investigate how epidemics grow and die out.

Mixing Lemonade

Stage: 3 Challenge Level:

Can you work out which drink has the stronger flavour?

Biology Measurement Challenge

Stage: 4 Challenge Level:

Analyse these beautiful biological images and attempt to rank them in size order.

Robot Camera

Stage: 4 Challenge Level:

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

Food Chains

Stage: 3 Challenge Level:

When a habitat changes, what happens to the food chain?

Pinhole Camera

Stage: 3 Challenge Level:

Make your own pinhole camera for safe observation of the sun, and find out how it works.

Fill Me Up

Stage: 3 Challenge Level:

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Speed-time Problems at the Olympics

Stage: 4 Challenge Level:

Have you ever wondered what it would be like to race against Usain Bolt?

Chocolate Cake

Stage: 3 Challenge Level:

If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

Designing Table Mats

Stage: 3 and 4 Challenge Level:

Formulate and investigate a simple mathematical model for the design of a table mat.

Mystery Procedure

Stage: 4 Challenge Level:

Can you work out what this procedure is doing?

Far Horizon

Stage: 4 Challenge Level:

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

Perspective Drawing

Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

Genetics

Stage: 4 Challenge Level:

A problem about genetics and the transmission of disease.

Toad in the Hole

Stage: 3 Challenge Level:

Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?

Perfect Eclipse

Stage: 4 Challenge Level:

Use trigonometry to determine whether solar eclipses on earth can be perfect.

Weekly Challenge 48: Quorum-sensing

Stage: 4 Short Challenge Level:

This problem explores the biology behind Rudolph's glowing red nose.

Temperature

Stage: 3 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?

Gym Bag

Stage: 3 and 4 Challenge Level:

Can Jo make a gym bag for her trainers from the piece of fabric she has?

Carbon Footprints

Stage: 4 Challenge Level:

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

Stadium Sightline

Stage: 4 and 5 Challenge Level:

How would you design the tiering of seats in a stadium so that all spectators have a good view?

Troublesome Triangles

Stage: 2 and 3 Challenge Level:

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .

What's That Graph?

Stage: 4 Challenge Level:

Can you work out which processes are represented by the graphs?

Efficient Packing

Stage: 4 Challenge Level:

How efficiently can you pack together disks?

Make Your Own Pencil Case

Stage: 3 Challenge Level:

What shape would fit your pens and pencils best? How can you make it?

Back Fitter

Stage: 4 Challenge Level:

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Fill Me up Too

Stage: 4 Challenge Level:

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

Witch's Hat

Stage: 3 and 4 Challenge Level:

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

Place Your Orders

Stage: 3 Challenge Level:

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Oblique Projection

Stage: 3 Challenge Level:

Explore the properties of oblique projection.

Flip Your Mat!

Stage: 2 and 3 Challenge Level:

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

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