# Resources tagged with: Maths Supporting SET

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There are 90 NRICH Mathematical resources connected to Maths Supporting SET, you may find related items under Cross-curricular Connections.

Broad Topics > Cross-curricular Connections > Maths Supporting SET

### Fill Me up Too

##### Age 14 to 16 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?

### Track Design

##### Age 14 to 16 Challenge Level:

Where should runners start the 200m race so that they have all run the same distance by the finish?

### Vector Walk

##### Age 14 to 18 Challenge Level:

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

### Back Fitter

##### Age 14 to 16 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?

### Immersion

##### Age 14 to 16 Challenge Level:

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

### Aim High

##### Age 16 to 18 Challenge Level:

How do you choose your planting levels to minimise the total loss at harvest time?

### Dangerous Driver?

##### Age 16 to 18 Challenge Level:

Was it possible that this dangerous driving penalty was issued in error?

### Time to Evolve 2

##### Age 16 to 18 Challenge Level:

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

### A Question of Scale

##### Age 14 to 16 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?

### Equation Matcher

##### Age 16 to 18 Challenge Level:

Can you match these equations to these graphs?

### Real-life Equations

##### Age 16 to 18 Challenge Level:

Here are several equations from real life. Can you work out which measurements are possible from each equation?

### Stats Statements

##### Age 16 to 18 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

### Taking Trigonometry Series-ly

##### Age 16 to 18 Challenge Level:

Look at the advanced way of viewing sin and cos through their power series.

### Scale Invariance

##### Age 16 to 18 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

### Root Hunter

##### Age 16 to 18 Challenge Level:

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

### Differential Equation Matcher

##### Age 16 to 18 Challenge Level:

Match the descriptions of physical processes to these differential equations.

### Over-booking

##### Age 16 to 18 Challenge Level:

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?

### Far Horizon

##### Age 14 to 16 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?

### Gym Bag

##### Age 11 to 16 Challenge Level:

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

### Perspective Drawing

##### Age 11 to 16 Challenge Level:

Explore the properties of perspective drawing.

### 3D Drawing

##### Age 11 to 16

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.

### Witch's Hat

##### Age 11 to 16 Challenge Level:

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

### Investigating Epidemics

##### Age 11 to 16 Challenge Level:

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

### Designing Table Mats

##### Age 11 to 16 Challenge Level:

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

### Population Dynamics Collection

##### Age 16 to 18 Challenge Level:

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

### Pdf Stories

##### Age 16 to 18 Challenge Level:

Invent scenarios which would give rise to these probability density functions.

### Nutrition and Cycling

##### Age 14 to 16 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?

##### Age 14 to 16 Challenge Level:

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

##### Age 14 to 18 Challenge Level:

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

### Electric Kettle

##### Age 14 to 16 Challenge Level:

Explore the relationship between resistance and temperature

### Robot Camera

##### Age 14 to 16 Challenge Level:

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

### Big and Small Numbers in Chemistry

##### Age 14 to 16 Challenge Level:

Get some practice using big and small numbers in chemistry.

### Genetics

##### Age 14 to 16 Challenge Level:

A problem about genetics and the transmission of disease.

### Biology Measurement Challenge

##### Age 14 to 16 Challenge Level:

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

### Quorum-sensing

##### Age 16 to 18 Short Challenge Level:

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

### Alternative Record Book

##### Age 14 to 18 Challenge Level:

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

### David and Goliath

##### Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

### Counting Dolphins

##### Age 14 to 16 Challenge Level:

How would you go about estimating populations of dolphins?

### Mystery Procedure

##### Age 14 to 16 Challenge Level:

Can you work out what this procedure is doing?

### Speed-time Problems at the Olympics

##### Age 14 to 16 Challenge Level:

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

### Big and Small Numbers in the Physical World

##### Age 14 to 16 Challenge Level:

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

### Big and Small Numbers in the Living World

##### Age 11 to 16 Challenge Level:

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

### Construct the Solar System

##### Age 14 to 18 Challenge Level:

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

### How Do You React?

##### Age 14 to 16 Challenge Level:

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

### Guessing the Graph

##### Age 14 to 16 Challenge Level:

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

### Nine Eigen

##### Age 16 to 18 Challenge Level:

Explore how matrices can fix vectors and vector directions.

### Matrix Meaning

##### Age 16 to 18 Challenge Level:

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

### Square Pair

##### Age 16 to 18 Challenge Level:

Explore the shape of a square after it is transformed by the action of a matrix.

### Transformations for 10

##### Age 16 to 18 Challenge Level:

Explore the properties of matrix transformations with these 10 stimulating questions.

### Perfect Eclipse

##### Age 14 to 16 Challenge Level:

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