Year 12 review

Objective. Demonstrate secure AS-level reasoning across all strands.

1. Learn
2. Worked example
3. Practice
4. Feedback
5. Continue

Learn: the key idea

The Year 12 review consolidates all AS-level strands, requiring secure recall and application across pure mathematics, statistics and mechanics in a single assessment. This means being able to switch fluently between algebraic manipulation, calculus, probability distributions, hypothesis testing, kinematics and forces, recognising which strand a question belongs to from its context. For example, a review question might ask you to differentiate a function, then separately test a binomial hypothesis, demanding command of distinct toolkits within one sitting. Confident review relies on practising varied questions across all strands.

Worked example

As part of a Year 12 review question, differentiate y=3x²+2x−5 with respect to x.

1 $Differentiate each term separately$
2 $d/dx(3x²)=6x, d/dx(2x)=2, d/dx(-5)=0$
3 $Combine the differentiated terms$
4 $dy/dx=6x+2$

Answer: 6x+2

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

Complete a practice set to see your concept breakdown here.

Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

Start practising

Common mistake. Students revise only their strongest strand, such as pure mathematics, and neglect weaker areas like mechanics or statistics before a full review assessment. Always review all three strands together, prioritising topics identified as weakest.

Your progress

Tick each step as you finish it. Your exact reading position is saved automatically, so Continue drops you back on the same line.

0 of 5 steps complete

Your place saves automatically as you read.

My dashboard