Resources tagged with: Maths Supporting SET

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There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

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?

Perfect Eclipse

Age 14 to 16
Challenge Level

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

Ball Bearings

Age 16 to 18
Challenge 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.

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.

Transformations for 10

Age 16 to 18
Challenge Level

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

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?

Bessel's Equation

Age 16 to 18
Challenge Level

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

Dangerous Driver?

Age 16 to 18
Challenge Level

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

What's That Graph?

Age 14 to 18
Challenge Level

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

Brimful

Age 16 to 18
Challenge Level

Can you find the volumes of the mathematical vessels?

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

Global Warming

Age 14 to 16
Challenge Level

How much energy has gone into warming the planet?

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.

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.

Whose Line Graph Is it Anyway?

Age 16 to 18
Challenge Level

Which line graph, equations and physical processes go together?

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?

Big and Small Numbers in Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

Approximately Certain

Age 14 to 18
Challenge Level

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

Back Fitter

Age 14 to 18
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?

Constantly Changing

Age 14 to 16
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.

Stirling Work

Age 16 to 18
Challenge Level

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

Vector Walk

Age 14 to 18
Challenge Level

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

Matrix Meaning

Age 16 to 18
Challenge Level

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

Polygon Walk

Age 16 to 18
Challenge Level

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

Equation Matcher

Age 16 to 18
Challenge Level

Can you match these equations to these graphs?

Counting Dolphins

Age 14 to 16
Challenge Level

How would you go about estimating populations of dolphins?

Efficient Packing

Age 14 to 16
Challenge Level

How efficiently can you pack together disks?

Taking Trigonometry Series-ly

Age 16 to 18
Challenge Level

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

Electric Kettle

Age 14 to 16
Challenge Level

Explore the relationship between resistance and temperature

Quorum-sensing

Age 16 to 18 Short
Challenge Level

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

Biology Measurement Challenge

Age 14 to 16
Challenge Level

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

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?

Flight Path

Age 16 to 18
Challenge Level

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

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

Spherical Triangles on Very Big Spheres

Age 16 to 18
Challenge 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.

Differential Equation Matcher

Age 16 to 18
Challenge Level

Match the descriptions of physical processes to these differential equations.

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.

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.

What Do Functions Do for Tiny X?

Age 16 to 18
Challenge Level

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

Bigger or Smaller?

Age 14 to 16
Challenge Level

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

Reaction Rates

Age 16 to 18
Challenge Level

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

Choose Your Units

Age 14 to 16
Challenge Level

Which units would you choose best to fit these situations?

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 Biology

Age 14 to 16
Challenge Level

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

Stats Statements

Age 16 to 18
Challenge Level

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

More or Less?

Age 14 to 16
Challenge Level

Are these estimates of physical quantities accurate?

Perspective Drawing

Age 11 to 16
Challenge Level

Explore the properties of perspective drawing.

Square Pair

Age 16 to 18
Challenge Level

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

Nine Eigen

Age 16 to 18
Challenge Level

Explore how matrices can fix vectors and vector directions.

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?