# GCSE Problem Solving Materials

## 20 Problems for GCSE Mathematics

These materials have been produced by the Further Mathematics Support Programme and are designed to help teachers develop their students' problem solving abilities. Each problem comes with a set of suitable prompts for use with students and a full worked solution. Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20

You can find the complete set of problems, prompts and solutions within the GCSE problem solving booklet.

## KS3/GCSE Groupwork Problems

Here are six activities that can be used with groups of 4 to improve problem solving skills.
The first three activities all use the same grid in which students have to create the correct design. Grid with instructions without instructions Pattern 1 Card set Solution Pattern 2 Card set Solution Pattern 3 Card set Solution

The next three use a variety of GCSE skills Willis Tower Instructions Card set Solution Skills required: Angle of elevation Calculating an angle using inverse tan Pythagoras Theorem Building Bridges Instructions Card set Solution Skills required: Simple geometric recognition Simple arithmetic operations Scale drawing Epidemic Instructions Card set Solution Skills required: Expected numbers from probabilities Percentages and probability Interpretation of calculations

## Additional GCSE Problem Solving Materials

Further problems suitable for GCSE mathematics students can also be found on the Integral Online Resources website. Some examples of these problems are below. Access to the complete set of problems is free when a school/college registers with the FMSP. Circle Area Problem Solution Cube Slice Problem Solution Dodecagon and Hexagon Problem Solution Shaded Circle Problem Solution