Resources tagged with: Maths Supporting SET

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There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

Equation Matcher

Age 16 to 18
Challenge Level

Can you match these equations to these graphs?

Brimful

Age 16 to 18
Challenge Level

Can you find the volumes of the mathematical vessels?

What's That Graph?

Age 14 to 18
Challenge Level

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

Scientific Curves

Age 16 to 18
Challenge Level

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

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?

Integration Matcher

Age 16 to 18
Challenge Level

Can you match the charts of these functions to the charts of their integrals?

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.

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?

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.

Crystal Symmetry

Age 16 to 18
Challenge Level

Use vectors and matrices to explore the symmetries of crystals.

Aim High

Age 16 to 18
Challenge Level

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

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.

Pdf Matcher

Age 16 to 18
Challenge Level

Which pdfs match the curves?

Operating Machines

Age 16 to 18
Challenge Level

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

Bessel's Equation

Age 16 to 18
Challenge Level

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

Whose Line Graph Is it Anyway?

Age 16 to 18
Challenge Level

Which line graph, equations and physical processes go together?

Brimful 2

Age 16 to 18
Challenge Level

Which of these infinitely deep vessels will eventually full up?

Fix Me or Crush Me

Age 16 to 18
Challenge Level

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

Cross with the Scalar Product

Age 16 to 18
Challenge Level

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

Debt Race

Age 16 to 18
Challenge Level

Who will be the first investor to pay off their debt?

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.

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.

Differential Equation Matcher

Age 16 to 18
Challenge Level

Match the descriptions of physical processes to these differential equations.

Transformations for 10

Age 16 to 18
Challenge Level

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

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.

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

Square Pair

Age 16 to 18
Challenge Level

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

Reaction Rates

Age 16 to 18
Challenge Level

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

Nine Eigen

Age 16 to 18
Challenge Level

Explore how matrices can fix vectors and vector directions.

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

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?

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.

Genetics

Age 14 to 16
Challenge Level

A problem about genetics and the transmission of disease.

Approximately Certain

Age 14 to 18
Challenge Level

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

Pdf Stories

Age 16 to 18
Challenge Level

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

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 Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

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.

Vector Walk

Age 14 to 18
Challenge Level

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

The Wrong Stats

Age 16 to 18
Challenge Level

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

Elastic Maths

Age 14 to 18

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.

Global Warming

Age 14 to 16
Challenge Level

How much energy has gone into warming the planet?

Bigger or Smaller?

Age 14 to 16
Challenge Level

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

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.

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.

Air Routes

Age 16 to 18
Challenge Level

Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.

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?

Production Equation

Age 16 to 18
Challenge Level

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?