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Broad Topics > Applications > Maths Supporting SET

### 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.

### More or Less?

##### Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

### 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.

### Counting Dolphins

##### Stage: 4 Challenge Level:

How would you go about estimating populations of dolphins?

### Vector Walk

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

Starting with two basic vector steps, which destinations can you reach on a vector walk?

### Perspective Drawing

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

Explore the properties of perspective drawing.

### Global Warming

##### Stage: 4 Challenge Level:

How much energy has gone into warming the planet?

### Food Chains

##### Stage: 3 Challenge Level:

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

### Biology Measurement Challenge

##### Stage: 4 Challenge Level:

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

### 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?

### Weekly Challenge 48: Quorum-sensing

##### Stage: 4 Short Challenge Level:

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

### 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 Chemistry

##### Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

### Approximately Certain

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

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

### Genetics

##### Stage: 4 Challenge Level:

A problem about genetics and the transmission of disease.

### 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?

### Does This Sound about Right?

##### Stage: 3 Challenge Level:

Examine these estimates. Do they sound about right?

### Big and Small Numbers in Physics

##### Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

### 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.

### Alternative Record Book

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

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

### Olympic Records

##### Stage: 3 Challenge Level:

Can you deduce which Olympic athletics events are represented by the graphs?

### Bigger or Smaller?

##### Stage: 4 Challenge Level:

When you change the units, do the numbers get bigger or smaller?

### Designing Table Mats

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

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

### Pinhole Camera

##### Stage: 3 Challenge Level:

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

### Electric Kettle

##### Stage: 4 Challenge Level:

Explore the relationship between resistance and temperature

### Investigating the Dilution Series

##### Stage: 4 Challenge Level:

Which dilutions can you make using only 10ml pipettes?

### Investigating Epidemics

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

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

### 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?

### 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?

### 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.

### Robot Camera

##### Stage: 4 Challenge Level:

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

### A Question of Scale

##### Stage: 4 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?

### Maths Filler 2

##### Stage: 4 Challenge Level:

Can you draw the height-time chart as this complicated vessel fills with water?

### 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?

### Efficient Packing

##### Stage: 4 Challenge Level:

How efficiently can you pack together disks?

##### Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

### Nutrition and Cycling

##### Stage: 4 Challenge Level:

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

### What's That Graph?

##### Stage: 4 Challenge Level:

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

### Immersion

##### Stage: 4 Challenge Level:

Various solids are lowered into a beaker of water. How does the water level rise in each case?

##### Stage: 3 Challenge Level:

Can you work out which drink has the stronger flavour?

### Scientific Measurement

##### Stage: 4 Challenge Level:

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

### Elastic Maths

##### Stage: 4 and 5

How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.

### Truth Tables and Electronic Circuits

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

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

### 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?

### Speedy Sidney

##### Stage: 3 Challenge Level:

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the. . . .

### Logic, Truth Tables and Switching Circuits Challenge

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

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

### Triathlon and Fitness

##### Stage: 3 Challenge Level:

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

### Mystery Procedure

##### Stage: 4 Challenge Level:

Can you work out what this procedure is doing?

### Gym Bag

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

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