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This series of activities from NASA take a mathematical approach to looking at black holes. They are intended as supplementary problems for students looking for additional challenges in the maths and physical science post-16 curriculum. Problems consist of a student page and an answer sheet. Students need to be...

This Core Maths task involves substituting values into the BMI formula in order to make health decisions.

An introductory ...

This resource introduces the formulae for the surface areas of cylinders, cones and spheres. Students are asked to use these to...

This Core Maths task asks the question ‘How do you know if you are really unwell?’ The activity explores the data surrounding body temperature, shows how to summarise continuous data and explores the effect on summary statistics that changing the size of the class interval has.

Body temperature:...

In this Core Maths resource students are asked to evaluate the offers and figures from three banks in order to decide which one is best for their company to borrow from. The resource involves students calculating the interest incurred using an Excel spreadsheet.

Borrowing money: Lesson Plan...

In this Core Maths task students investigate how to make a box of maximum volume from a given square of card. The ultimate objective is to model a method to work out a box of maximum volume for any size of rectangle.

The activity sheet outlines the task for students.

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This activity covers the compact method of coding used by Braille. It explores calculating the number of different patterns that exist using a 3 x 2 design.

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In this Core Maths task students are asked to create a budget plan for a mobile phone company covering the manufacturing, marketing and staffing costs. You may also want to see the Budgeting and foreign exchange Core Maths resource

Budgeting:  Lesson...

This Core Maths resource contains teachers' notes, lesson plan and student handouts that explore budgeting and foreign exchange. The two topics can be combined into one large project or taught as two discrete tasks. 

There is a Powerpoint presentation of the tasks for classroom use, including possible...

This series of Core Maths activities involves mortgage finance, interest rates, income tax, national insurance, scheduling, Gantt diagrams and estimation. The tasks can form a large project or be used as stand-alone lessons.

Build or Buy: Teacher Guidance
The teacher guidance package...

In this activity, students create colour images from satellite data. This allows them to study how different surfaces reflect different wavelengths of light, how coloured images are created using an RGB model, and how band combinations can be chosen to examine a particular landscape effectively.

[b]Ordering units of weight:[/b] the objective of this activity is to assess prior knowledge of learners and their understanding of metric units. Students are presented with a set of cards on which are written metric weights in grams, kilograms and in words. Students are required to place the cards in order of...

This resource contains two Core Maths assessments appropriate for students of business. The assessments, that cover number, finance and graph topics, are:

  • Problem solving
  • Break even analysis
  • Percentages
  • Simple and...

This activity from the Nuffield Foundation shows students how to use Kruskal’s and Prim’s algorithms to solve minimum connector problems. A cable TV company wants to lay cables to connect the towns, laying the cable along the roads shown on a map of the Isle of Wight. They want to connect all of these towns to...

This lesson develops the concept of finding areas of sectors. In particular students will:

  • Find perimeters, areas, and arc lengths of sectors using formulas
  • Find the relationships between arc lengths, and areas of sectors after scaling
  • Using radians

The initial challenge...

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