Pure Mathematics exam tips

Exam tips

• Applications of differentiation exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to g3 Apply differentiation to find gradients, tangents and normals, maxima and minima, stationary points and points of inflection; identify where functions are increasing or decreasing..

  This keeps the answer actionable and aligned to Applications of differentiation, rather than giving generic revision advice.

• Product, quotient and chain rules exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to g4 Differentiate using the product rule, quotient rule and chain rule, including problems involving connected rates of change and inverse functions..

  This keeps the answer actionable and aligned to Product, quotient and chain rules, rather than giving generic revision advice.

• Implicit and parametric differentiation exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to g5 Differentiate simple functions and relations defined implicitly or parametrically, for first derivative only..

  This keeps the answer actionable and aligned to Implicit and parametric differentiation, rather than giving generic revision advice.

• Differential equation construction exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to g6 Construct simple differential equations in pure mathematics and in context, including contexts such as kinematics, population growth and modelling the relationship between price and demand..

  This keeps the answer actionable and aligned to Differential equation construction, rather than giving generic revision advice.

• Fundamental Theorem of Calculus exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to h1 Know and use the Fundamental Theorem of Calculus..

  This keeps the answer actionable and aligned to Fundamental Theorem of Calculus, rather than giving generic revision advice.

• Integration techniques exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to h2 Integrate x^n excluding n = -1 and related sums, differences and constant multiples; integrate e^(kx), 1/x, sin kx, cos kx and related sums, differences and constant multiples..

  This keeps the answer actionable and aligned to Integration techniques, rather than giving generic revision advice.

• Definite integration and areas exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to h3 Evaluate definite integrals; use a definite integral to find the area under a curve and the area between two curves..

  This keeps the answer actionable and aligned to Definite integration and areas, rather than giving generic revision advice.

• Integration as limit of a sum exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to h4 Understand and use integration as the limit of a sum..

  This keeps the answer actionable and aligned to Integration as limit of a sum, rather than giving generic revision advice.

• Integration by substitution and parts exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to h5 Carry out simple cases of integration by substitution and integration by parts; understand these methods as inverse processes of the chain and product rules respectively, with substitution limited to cases where one substitution leads to an integrable function and integration by parts excluding reduction formulae..

  This keeps the answer actionable and aligned to Integration by substitution and parts, rather than giving generic revision advice.

• Integration using partial fractions exam tip 1

  Write the method before the answer so the examiner can follow each step. Apply this to h6 Integrate using partial fractions that are linear in the denominator..

  This keeps the answer actionable and aligned to Integration using partial fractions, rather than giving generic revision advice.