Really useful 33 page guide in 7 sections offers A level, GCSE Higher and Foundation problem solving techniques as well as links to 25 problems from these areas. Sections are:

- Introduction – addressing concerns

- Asking the right questions
- Using group work
- Key problem solving skills
- Helping students to complete problems
- Multiple approaches
- Integrating problem solving into lessons
- Problem solving in examinations

Slides for GCSE here : and for A level here

Mathematical areas below are only indicative

### A level problems

Circle Area : Example 20 : Section 7 – Solution

Circle Equation : Example 5 : Section 2 – Solution

Geometric Progression : Example 19 : Section 7 – Solution

Gradient of a Parabola : Example 9 : Section 4 – Solution

Quadratic Functions : Example 18 : Section 6 – Solution

Sigma Notation : Example 15 : Section 6 – Solution

Straight lines : Example 1 : Section 1 – Solution

Surds : Example 3 : Section 1 – Solution

Surds : Example 15 : Section 6 – Solution

Tangent to a Circle : Example 11 : Section 4 – Solution

Trigonometry, addition formulae : Example 7 : Section 2 – Solution

### GCSE problems

Area : Example 12 : Section 5 – Solution

Speed : Example 24 : Section 7 – Solution

Straight line graphs : Example 8 : Section 2 – Solution

### GCSE Higher problems

Circle Area : Example 25 : Section 7 – Solution

Exact Trigonometric Values : Example 14 : Section 6 – Solution

Indices : Example 10 : Section 4 – Solution

Probability : Example 6 : Section 2 – Solution

Pythagoras and Area : Example 4 : Section 1 – Solution

Triangle area, Trigonometry : Example 2 : Section 1 – Solution

### GCSE Foundation problems

Algebra : Example 17 : Section 6 – Solution

Area : Example 23 : Section 7 – Solution

Money : Example 21 : Section 7 – Solution

Money : Example 22 : Section 7 – Solution

Triangle : Example 13 : Section 6 – Solution