Search by Topic

Resources tagged with Maths Supporting SET similar to Brimful 2:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 96 results

Broad Topics > Applications > Maths Supporting SET

problem icon

Brimful 2

Stage: 5 Challenge Level: Challenge Level:1

Which of these infinitely deep vessels will eventually full up?

problem icon

Brimful

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the volumes of the mathematical vessels?

problem icon

The Wrong Stats

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

Population Dynamics Collection

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

More or Less?

Stage: 4 Challenge Level: Challenge Level:1

Are these estimates of physical quantities accurate?

problem icon

Pdf Stories

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Cross with the Scalar Product

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Scientific Curves

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

problem icon

Real-life Equations

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

Spherical Triangles on Very Big Spheres

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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.

problem icon

Integration Matcher

Stage: 5 Challenge Level: Challenge Level:1

Match the charts of these functions to the charts of their integrals.

problem icon

Biology Measurement Challenge

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Maths Filler 2

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Maths Filler

Stage: 4 Challenge Level: Challenge Level:1

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

problem icon

Immersion

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Air Routes

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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.

problem icon

Scientific Measurement

Stage: 4 Challenge Level: Challenge Level:1

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

problem icon

Over-booking

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

problem icon

Carbon Footprints

Stage: 4 Challenge Level: Challenge Level:1

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

problem icon

Constantly Changing

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Pdf Matcher

Stage: 5 Challenge Level: Challenge Level:1

Which pdfs match the curves?

problem icon

Aim High

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Stirling Work

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level: Challenge Level:1

Which line graph, equations and physical processes go together?

problem icon

Back Fitter

Stage: 4 Challenge Level: Challenge Level:1

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?

problem icon

Crystal Symmetry

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Use vectors and matrices to explore the symmetries of crystals.

problem icon

Polygon Walk

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

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

problem icon

How Do You React?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Designing Table Mats

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

problem icon

Fill Me up Too

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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?

problem icon

Perspective Drawing

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the properties of perspective drawing.

problem icon

Stadium Sightline

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

problem icon

Genetics

Stage: 4 Challenge Level: Challenge Level:1

A problem about genetics and the transmission of disease.

problem icon

Robot Camera

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Curve Fitter 2

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you construct a cubic equation with a certain distance between its turning points?

problem icon

Fix Me or Crush Me

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Transformations for 10

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Square Pair

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Nine Eigen

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore how matrices can fix vectors and vector directions.

problem icon

Matrix Meaning

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Vector Walk

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

problem icon

Global Warming

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

How much energy has gone into warming the planet?

problem icon

Scale Invariance

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

problem icon

Data Matching

Stage: 5 Challenge Level: Challenge Level:1

Use your skill and judgement to match the sets of random data.

problem icon

Who's the Best?

Stage: 3 and 4 Challenge Level: Challenge Level:1

Which countries have the most naturally athletic populations?

problem icon

Taking Trigonometry Series-ly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Reaction Rates

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Debt Race

Stage: 5 Challenge Level: Challenge Level:1

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

problem icon

The Monte Carlo Method

Stage: 5 Challenge Level: Challenge Level:1

Estimate areas using random grids


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Copyright © 1997 - 2012. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.