# Resources tagged with: Maths Supporting SET

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### There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

### Spherical Triangles on Very Big Spheres

##### Age 16 to 18Challenge Level

Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.

### Taking Trigonometry Series-ly

##### Age 16 to 18Challenge Level

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

### What Do Functions Do for Tiny X?

##### Age 16 to 18Challenge Level

Looking at small values of functions. Motivating the existence of the Taylor expansion.

### Ball Bearings

##### Age 16 to 18Challenge Level

If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.

### Far Horizon

##### Age 14 to 16Challenge 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?

### Stirling Work

##### Age 16 to 18Challenge Level

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

### Efficient Packing

##### Age 14 to 16Challenge Level

How efficiently can you pack together disks?

### Bessel's Equation

##### Age 16 to 18Challenge Level

Get further into power series using the fascinating Bessel's equation.

### Building Approximations for Sin(x)

##### Age 16 to 18Challenge Level

Build up the concept of the Taylor series

### Root Hunter

##### Age 16 to 18Challenge Level

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

### Scale Invariance

##### Age 16 to 18Challenge Level

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

### Flight Path

##### Age 16 to 18Challenge Level

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.

### Transformations for 10

##### Age 16 to 18Challenge Level

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

### Stadium Sightline

##### Age 14 to 18Challenge Level

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

### Back Fitter

##### Age 14 to 18Challenge 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?

### Track Design

##### Age 14 to 16Challenge Level

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

### Scientific Curves

##### Age 16 to 18Challenge Level

Can you sketch these difficult curves, which have uses in mathematical modelling?

### Perfect Eclipse

##### Age 14 to 16Challenge Level

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

### Polygon Walk

##### Age 16 to 18Challenge Level

Go on a vector walk and determine which points on the walk are closest to the origin.

### Speed-time Problems at the Olympics

##### Age 14 to 16Challenge Level

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

### Cross with the Scalar Product

##### Age 16 to 18Challenge Level

Explore the meaning of the scalar and vector cross products and see how the two are related.

### Fix Me or Crush Me

##### Age 16 to 18Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

### Vector Walk

##### Age 14 to 18Challenge Level

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

### Matrix Meaning

##### Age 16 to 18Challenge Level

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

### Constantly Changing

##### Age 14 to 16Challenge Level

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

### Carbon Footprints

##### Age 14 to 16Challenge Level

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

### Crystal Symmetry

##### Age 16 to 18Challenge Level

Use vectors and matrices to explore the symmetries of crystals.

### Square Pair

##### Age 16 to 18Challenge Level

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

### Construct the Solar System

##### Age 14 to 18Challenge Level

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

### Nine Eigen

##### Age 16 to 18Challenge Level

Explore how matrices can fix vectors and vector directions.

### What's That Graph?

##### Age 14 to 18Challenge Level

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

### Perspective Drawing

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

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

### Guessing the Graph

##### Age 14 to 16Challenge Level

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

### Fill Me up Too

##### Age 14 to 16Challenge 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?

### Designing Table Mats

##### Age 11 to 16Challenge Level

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

### Alternative Record Book

##### Age 14 to 18Challenge Level

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

### Robot Camera

##### Age 14 to 16Challenge Level

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

### Mystery Procedure

##### Age 14 to 16Challenge Level

Can you work out what this procedure is doing?

### Big and Small Numbers in Chemistry

##### Age 14 to 16Challenge Level

Get some practice using big and small numbers in chemistry.

### Big and Small Numbers in Physics

##### Age 14 to 16Challenge Level

Work out the numerical values for these physical quantities.

### How Do You React?

##### Age 14 to 16Challenge Level

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

### Population Dynamics Collection

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

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

### Approximately Certain

##### Age 14 to 18Challenge Level

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

### The Wrong Stats

##### Age 16 to 18Challenge Level

Why MUST these statistical statements probably be at least a little bit wrong?

### Operating Machines

##### Age 16 to 18Challenge Level

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

### Equation Matcher

##### Age 16 to 18Challenge Level

Can you match these equations to these graphs?

### Electric Kettle

##### Age 14 to 16Challenge Level

Explore the relationship between resistance and temperature