Year 1 review
Objective. Solve unfamiliar problems across the first-year core.
- 1. Learn
- 2. Worked example
- 3. Practice
- 4. Feedback
- 5. Continue
Learn: the key idea
A Year 1 review question draws on several first-year topics at once, requiring you to identify which techniques apply before carrying out the calculation. Typically this means recognising the type of problem (algebraic, calculus-based, probabilistic or mechanical), selecting the appropriate method from across the year's units, and executing it accurately while checking the answer makes sense. For instance, a single review question might require differentiating a function, finding its stationary points, and then classifying them using the second derivative test, chaining skills from different weeks of the course. Strong exam technique means stating which method is being used at each stage, not just producing numbers.
Worked example
As a Year 1 review question, find the stationary point of f(x) = x² − 6x + 5 and classify it.
- 1Differentiate: f'(x) = 2x − 6
- 2Set f'(x)=0: x = 3
- 3Second derivative: f''(x) = 2 > 0
- 4Classify: minimum at (3, f(3)) = (3, −4)
Answer: Minimum at (3, −4)
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 practisingCommon mistake. Jumping straight into calculation without first identifying which topic or method a mixed review question needs; misidentifying the required technique, such as using differentiation when integration is needed, wastes time and loses marks.
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.
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