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Resources

Resources are shown in date order, most recently changed first
  • Introducing Spearman’s Coefficient

    This task introduces Spearman’s coefficient of ranked correlation, as a tool to solve the problem of making quantitative comparisons between pairs of rankings.

  • Statistics

  • Higher or Lower?

    This task can be used to revise and extend concepts of probability from GCSE.

  • Probability

  • Averages and spread 3

    This is a revision exercise aimed at practising the skills of calculating different measures of location and dispersion. It allows students to practise the calculations and to explain the meaning of what they have calculated.

  • Normal Distribution

    This resource provides a series of questions that allow students to practise the use of the Normal Distribution in solving problems.

  • Support for PSYCHOLOGY

    Psychology courses have significant mathematical and statistical content.

  • Revision

  • Rich Aunt

    Exploring the difference between linear and exponential sequences and their sums.

  • Number & Measures

    This is Number & Measures

  • PFEG - Cost of Credit

    Learning to appreciate the cost of credit and the implications of choosing to use credit.

  • 0. Mokia-0 Presentation, Resources + Notes

    In this first project students are to manage their new phone company with the launch of their new phone, Mokia-0.

  • 1. Mokia-0 Budgeting

  • 2. Mokia-0 Borrowing Money

  • 3. Mokia-0 Import/Export

  • 4. Mokia-0 Marketing

  • 5. Mokia-0 Selling Figures and Annual Report

  • Designing Questionnaires

    This activity reviews some of the key points to be considered when designing an effective questionnaire.

  • Methods of Sampling

    This is a simple activity that asks students to review and summarise the key features, advantages and disadvantages of various sampling methods.

  • Types of data

    This task consists of a PowerPoint presentation that can be used to explain and review the distinctions between different types of data.

  • Science Assessments

    End of year assessments for use with BTEC Science students (OCR/MEI).

  • Business Assessments

    End of year assessments for use with BTEC Business students (AQA).

  • Percentage Calculations

    This resource provides a series of questions to review and assess students’ understanding of percentage calculations.

  • Percentages in finance: Assessment

    This is a short assessment task on the use of percentages in a range of financial contexts.

  • Algebra & Graphs

  • Financial Maths

  • Probability Starter Pack

  • Financial Maths Starter Pack

    In this first project students are to manage their new phone company with the launch of their new phone, Mokia-0. They will have to use a variety of maths skills in order to do this.

  • Discrete Maths Starter Pack

  • Wheels of Fortune

    This is gentle reminder about some of the basic ideas in probability theory and serves as a starting point for the Probability Starter Pack.

  • The Secret of Winning

  • Optimum Ferry Loading (Bin Packing)

  • Body Temperature (Well or Unwell?)

  • Bar Code

    Introduction to coding: What makes up a bar code?

  • Nuffield - Working with Percentages

    Recap on percentage increase and decrease: individually, in combination and in reverse.

  • Cormathzadrine

    Modelling the level of a prescribed drug within a patient.

  • Gambling

    Introduction to the mathematics and risks of gambling: How to calculate odds and the probability of winning/losing in a casino.

  • Cost to the Moon

    This is a research task involving calculation, estimation and online research.

  • Skin Area

    Estimation and calculation of length, weight, area, volume and surface area of solids and compound solids.

  • Support for ECONOMICS

    Economics is based on the study of the factors that influence income, wealth and well-being. It is a social science that incorporates mathematics and statistics at its heart.

  • Support for BUSINESS STUDIES

    Business Studies is based on decision making and problem solving, using qualitative and quantitative methods.

  • Support for CHEMISTRY

    Chemistry makes extensive use of mathematical models, visualisations and calculations.

  • Skew in Histograms

    Examining real-life data, identifying skew and investigating the relationship between mean, median and mode for distributions with varying skew.

  • Which Team Won?

    Using a mathematical model for a practical task and understanding that being 'fair' is not a precise concept.

  • One million miles

    This task provides an opportunity for students to create some questions based on a stimulus, to decide what information they need to gather to help them answer the questions, and then to work out the answers.

  • Marbles

  • Champion of the World

  • Data Analysis Revision

  • Probability Revision

  • Measurement Revision

  • Number Theory Revision

  • Population Data - Lesson 6

    This lesson focusses on the use of cumulative frequency diagrams and box plots.

  • Population Data - Lesson 5

    This lesson focusses on statistical correlation.

  • Population Data - Lesson 4

    This lesson focusses on the use of the standard deviation as a measure of spread, and the identification of statistical outliers.

  • Population Data - Lesson 3

    This lesson focusses on the use of statistical diagrams and summary data

  • Population Data - Lesson 2

    This lesson explores various methods of sampling, and uses these to selct countries for further analysis.

  • Population Data - Lesson 1

    This lesson introduces the Demographic Transition Model for population change, and explores it using statistical calculations and graphs.

  • Baby boom

    Introduction to the Normal Distribution

  • MEI - Scams

    Students analyse real-world examples of scams to work out why the schemes are fraudulent.

  • Nuffield - Anthropometric data

    Students are given a large dataset and have to investigate whether particular sets of data are related. Students should present their findings in the form of a report/presentation.

  • Best Songs Ever?

    This activity is based on the idea of finding the best songs ever.

  • Due Dates

    This is a pre-cursor to the Baby boom task and an initial introduction to the Normal distribution.

  • Chicken and Egg

    This is linked to the Baby boom task and a development of it to standardising Normal distributions.

  • Hot Shot – A Question of Consistency

    This is a precursor to the linked tasks of Due date, Baby boom and Chicken and egg, on the Normal distribution.

  • Patriotic Design

    This activity considers measures of correlation and introduces Spearman's Rank Correlation Coefficient.

  • Climate Change

    Analysing trends in data using moving averages.

  • Statistics Starter Pack

  • Eurovision 2015

    This is a critical analysis activity using data from the Eurovision Song Contest 2015.

  • Bivariate Data

    Calculation and interpretation of Pearson’s product moment correlation coefficient as well as knowledge of the vocabulary associated with bivariate data.

  • Global Child Mortality

    This task uses statistics to assess whether the UN millennium goal (set in 2000) to reduce the under-five child mortality rate by two-thirds by the year 2015 has been realised.

  • Histograms

    This task introduces students to the use of histograms to display sets of grouped data with unequal class intervals.

  • Mammals

    This is an extended assignment that was designed to be completed over a half-term break and then assessed.

  • Microlives

    In this task students use statistical techniques to evaluate a number of Public Health initiatives, using the notion of a ‘microlife’ – a measure of the impact on an individual’s expected lifespan of various lifestyle choices.

  • Moving Averages

    In this task students construct line graphs for time series data, calculate the moving average and interpret the graph, stating conclusions.

  • The Normal Distribution – Using the Curve

    This is an introductory activity on understanding the shape of a Normal distribution curve.

  • The Stroop Effect

    Students are introduced to the Stroop Effect (see this Wikipedia article for an introduction). They are then asked to design and conduct an experiment to test the effect.

  • Height and Speed

    This is a data-handling task for learners to work on in small groups (possibly in threes?) to perform a statistical investigation based on the question: ‘Does the height of a tennis player affect the top speed of their service?’

  • Who has the best results?

    This task will help students understand how standardisation can be used to make comparisons.

  • Assessment 2 - Basic Skills

    This is a worksheet that assesses students’ understanding of basic statistical ideas.

  • Assessment 1 - Basic Skills

    This is a worksheet that assesses students’ understanding of basic statistical ideas.

  • MEI - Estimation, Assumptions and Predictions

    Introduction to Fermi estimation: Revision of significant figures and estimation by rounding, before considering and predictions in real life scenarios.

  • Russian Fable

    This activity is based on predicting probabilities and experimenting to see if the theoretical model fits the observed data.

  • Special Dice

    This activity is based on using very special dice that seem to contradict common sense.

  • Nuffield: Can They Tell The Difference?

    The task involves completing a triangle taste test, involving a standard and healthy option of various foods/drinks, and then using a hypothesis test to test the significance of the result.

  • Spread of Disease

    Modelling the spread of disease and the success rate of immunisation is vital for disease control.

  • Exponential Graphs

    This is a card-sorting activity to generate discussion about exponential graphs.

  • Nuffield - Annual Percentage Rate (APR)

    Introduction to APR: The interest charge that is involved when we borrow money; how to calculate interest for whole and fractional year length terms and reasons why people want to borrow money.

  • Nuffield - Simple + Compound Interest

    Introduction simple and compound interest (opportunity to use spreadsheets to genereate answers by using appropriate algebraic formulae).

  • Vampires

    Introduction to exponential growth and opportunity for critical evaluation.

  • Wind Chill

    This activity is based on a wind chill model for determining the effective temperature at low temperatures and high winds.

  • The Princess's Problem

    This is an optimisation problem from Greek mythology that has an intuitive​ solution but is rather more difficult to prove.

  • Ebola

    This is an extensive resource based on the spread of the Ebola disease; it uses a range of statistical techniques to analysis the data and to make predictions.

  • Physical Fitness

    Investigation into assessments of physical fitness.

  • Dating ceramics using rehydroxylation

    This resource looks at the recently developed technique of rehydroxylation for dating ceramic objects using an exponential growth model.

  • Olympic 100m sprint times

    Students present data and then analyse it in order to draw conclusions and make predictions. They can then assess the validity of their conclusions.

  • A Doll’s House

    This task acts as a simple introduction to Gantt charts through an example that analyses the manufacture of bespoke dolls’ houses.

  • PFEG - Balancing Risk and Reward

    Learning to make decisions about investments by assessing possible risks and rewards.

  • PFEG - Cost of Study

    Exploring the costs associated with studying at university.

  • Design a Hotel

    This is an open-ended business simulation task, involving calculation, money and estimation.

  • Equality

    This introduces where UK tax is spent and income tax rates.

  • Budgeting and Foreign Exchange

    This has the potential to be a big project, involving budgeting for an adventurous holiday or gap year; and dealing with foreign exchange rates along the way.

  • Braille

    Analysing Braille and calculating the number of different patterns that exist using a 3 x 2 design.

  • Exponential Growth and Decay

    Introduction to exponential growth and decay: Compound interest for savings and depreciation of assets.

  • Horse Manure

    Researching data, making estimations and performing calculations to determine the reasonableness of a prediction.

  • MEI - Using and Abusing Percentages

    Investigating the use (and abuse) of percentages in research and media.

  • Fitting Numbers

    Consolidation and practice of basic addition and multiplication of pairs of numbers from 1 to 10.

  • MEI - Fermi Estimates

    Problems involving Fermi estimation.

  • MEI - Estimates From Limited Data

    Introduction to Fermi Estimation.

  • MEI - Is This A Valid Argument?

    Develops students’ ability to recognise and explain some of the reasons for incorrectly assuming causation, and identify where further information is required before a decision can be reached.

  • Stocks and Shares

    Introduction to the stock market: Students calculate the new prices for a variety of fictional shares based on daily percentage changes.

  • Garden Design

    Producing a quote: Students produce a quote for building a garden by calculating the cost of materials and producing a precedence table and activity network to schedule the work.

  • Fermi Estimation - Tea in China

    This resource introduces Fermi estimation, and suggests three scenarios to explore.

  • Oxford Air Temperature

    This project includes: 1. A short guide to Microsoft Excel, incorporating activities to explore. 2. Exploring climate data using Microsoft Excel.

  • Body Mass Index (BMI)

    This task involves working with BMI and making decisions based on BMI, which is calculated using a given formula.

  • Body Surface Area

    This task involves estimating a person’s surface area – from having a guess, to using practical resources and then using formulae.

  • Core Maths in Pictures

    This simple resource consists of a series of pictures that can be used as a starting point to generate Fermi estimation questions.

  • Car Park

    Students are asked to apply their knowledge of Upper and Lower Bounds to the test by designing a car park.

  • Diamond Smuggling

    This is a problem-solving task involving large sums of money, based on a true story.

  • Build or Buy

    This task considers the financial implications involved with buying or building your own home and includes mortgages; interest rates; income tax; national insurance; scheduling; Gantt diagrams and estimation.

  • Healthy Eating Design

    These are modelling tasks: To design a muesli and compare the costs with bought muesli (Paola’s muesli) To design a ‘Banana and Milk’ diet

  • Graduate Destinations

    Use data from the ‘What do graduates do?’ survey (http://www.hecsu.ac.uk/assets/assets/documents/WDGD_Sept_2013.pdf) to complete a two-way table and draw conclusions.

  • Shape and Space

    Students work in pairs to identify the force on the foundations of twelve iconic buildings.

  • Interest and Depreciation

    This task involves investigating various aspects of interest and depreciation, including compound interest and the effects of compounding over different numbers of periods (for example annually, monthly or weekly).

  • Paper Planes

    Students compare and analyse the flight distances (and/or times) of various designs of paper plane.

  • Mortgages and Spreadsheets

    This task involves using a spreadsheet to analyse mortgage repayments.

  • Mental Maths and Algebra

    Students are presented with a calculation ‘trick’ – a method for working out the squares of two-digit numbers.

  • Max Cylinder

    This is an optimisation task involving finding the cylinder with the smallest surface area that has a capacity of 330 ml.

  • Removal Company

    Students research required data, make estimates and perform calculations to come up with a realistic quote that a removal company may give to a client in the given scenario.

  • The Snowman Challenge

    This is a reasonably open-ended task about designing a snowman.

  • Surface area to volume ratio of cells

    Students apply their understanding of surface areas and volumes of cuboids to cells.

  • What Can You Lift?

    This is an open-ended task involving calculation, measures and estimation.

  • Mr Man’s birthday

    Students need to be systematic in finding dates of birth where the square of the year (the last two digits) gives the day and the month, e.g. 26/01/51, because 51^2=2601.

  • London Underground

    Having recapped Pythagoras’ Theorem, students apply this to a real-life situation – how many steps there are on a London Underground escalator.

  • Which plant should we close?

    This real-life scenario uses business information to make decisions.

  • Olympic medal ranking

    This is an introduction to the use of spreadsheets by looking at how countries are ranked at the Olympic Games

  • Geometry and Trigonometry Revision

  • Transformations, Vectors and Matrices Revision

  • Angle Geometry Revision

  • Relations, Functions and Graphs Revision

  • Computation Revision

  • Algebra Revision

  • Averages and spread 2

    This is a revision activity to remind students how to calculate and interpret different measures of location and dispersion.

  • Averages and spread 1

    This is a matching task to remind students about the definitions of different measures of location and dispersion.

  • Split train tickets

    This activity is based on finding the cheapest train tickets for journeys with stopping stations, where one ticket can be replaced by split tickets (using the stopping points).

  • The box problem

    This is a simple modelling task which can be used early in the course to demonstrate how students’ existing mathematical knowledge can be used to solve an optimisation problem.

  • Credit card errors

    The handout describes how the Luhn algorithm is used to provide a check digit that helps to indicate accidental errors made when inputting credit (or debit) card numbers.

  • Easter date algorithm

  • Support for OTHER SUBJECTS

    Many of the subjects studied in Colleges and Sixth Forms rely on sound mathematical skills and knowledge. This often involves knowing how to apply simple but powerful mathematical ideas in practical settings.

  • Support for Other Subjects

  • Support for COMPUTER SCIENCE

    The study of Computer Science requires many of the thinking skills also associated with the study of Mathematics.

  • Support for BIOLOGY

    Biology has been revolutionised by developments in computation and statistical analysis.

  • Discrete Maths

  • Networks

  • Optimum Ferry Loading

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