Number &

  • Fitting Numbers

    Fitting Numbers

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

  • 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.

  • Bar Code

    Bar Code

    Introduction to coding: What makes up a bar code?

  • Cost to the Moon

    Cost to the Moon

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

  • Skin Area

    Skin Area

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

  • One million miles

    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.

  • MEI - Estimation, Assumptions and Predictions

    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.

  • Budgeting and Foreign Exchange

    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

    Exponential Growth and Decay

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

  • Horse Manure

    Horse Manure

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

  • MEI - Using and Abusing Percentages

    MEI - Using and Abusing Percentages

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

  • MEI - Fermi Estimates

    MEI - Fermi Estimates

    Problems involving Fermi estimation.

  • MEI - Estimates From Limited Data

    MEI - Estimates From Limited Data

    Introduction to Fermi Estimation.

  • MEI - Is This A Valid Argument?

    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.

  • Fermi Estimation - Tea in China

    Fermi Estimation - Tea in China

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

  • Oxford Air Temperature

    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)

    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

    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

    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

    Car Park

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

  • Healthy Eating Design

    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

    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

    Shape and Space

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

  • Interest and Depreciation

    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

    Paper Planes

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

  • Removal Company

    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

    Surface area to volume ratio of cells

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

  • What Can You Lift?

    What Can You Lift?

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

  • Mr Man’s birthday

    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

    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?

    Which plant should we close?

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

  • Olympic medal ranking

    Olympic medal ranking

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

  • The box problem

    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

    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

    Easter date algorithm