MEI Problem Solving Guide

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 
  1. Asking the right questions
  2. Using group work
  3. Key problem solving skills
  4. Helping students to complete problems
  5. Multiple approaches
  6. Integrating problem solving into lessons
  7. 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