Grade 12 · Year 13 · Ages 17–18
Grade 12 Maths
Grade 12 maths (calculus, AP-style and A-level-style) in short lessons: differentiation rules, tangents, normals and stationary points, integration and areas, exponential models, the binomial expansion, the normal distribution and mechanics.
6 units23 lessonsFinal exam: 60 minutes
Each lesson practised, unit test passed and the final exam count as steps.
Units
Unit 1: Differentiation
Find gradients of curves with derivatives.
- Derivatives of polynomialsDone
- Powers, roots and second derivativesDone
- The chain, product and quotient rulesDone
Unit test · 12 questionsPassedUnit 2: Applications of differentiation
Tangents, normals, stationary points and optimisation.
- Equations of tangentsDone
- Equations of normalsDone
- Stationary pointsDone
- Maxima, minima and optimisationDone
Unit test · 12 questionsPassedUnit 3: Integration
Indefinite and definite integrals and areas.
- Indefinite integralsDone
- Definite integralsDone
- Area under a curveDone
- Areas above and below the axisDone
- Integrating exponentials, trig and composite functionsDone
Unit test · 12 questionsPassedUnit 4: Further algebra and trigonometry
Exponential models, the binomial expansion and trig equations in radians.
- Exponential modelsDone
- Binomial approximationsDone
- The general binomial expansionDone
- Trigonometric equations in radiansDone
Unit test · 12 questionsPassedUnit 5: Probability distributions
Binomial and normal distributions.
- Binomial probabilities, mean and varianceDone
- The normal distributionDone
- Finding an unknown mean or standard deviationDone
Unit test · 12 questionsPassedUnit 6: Mechanics
Constant acceleration, forces and connected particles.
- Constant accelerationDone
- Forces and Newton's lawsDone
- Lifts and vertical motionDone
- Connected particlesDone
Unit test · 12 questionsPassed
Final exam
Passed35 questions from every unit, 60 minutes. Take it online or print the paper.