Further Mathematics · Pearson Edexcel 9FM0 · Topic A1

Formulae you must recall (not in the formulae booklet)

Formulae that are not in the exam formulae booklet, so you must learn them by heart.

  • 6 sub-topics
  • Taught in Year 13
  • 68 practice questions
  • 6 animated lessons

What the specification says

Every sub-topic Pearson Edexcel can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. PPure formulae from A level MathematicsY13
  2. CPFurther pure formulaeY13
  3. CCalculusY13
  4. VVectorsY13
  5. SStatisticsY13
  6. MMechanicsY13

Try 2 questions

Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 68 questions in this topic, free, no account needed.

Formulae you must recall (not in the formulae booklet)

Easy

The quotient rule · Year 12 · 1 mark

  1. Which is the quotient rule for y=uvy = \dfrac{u}{v}?
    (1)

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  1. The order on top matters: vv times the derivative of uu comes first.BB: dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}=vdudx−udvdxv2{}= \dfrac{v\dfrac{\mathrm{d}u}{\mathrm{d}x} - u\dfrac{\mathrm{d}v}{\mathrm{d}x}}{v^2}

Total1

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
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Formulae you must recall (not in the formulae booklet)

Medium

Further pure formula recall · Year 12 · 2 marks

  1. Find ∑r2\sum r^{2} for r=1r = 1 to 10.
    (2)

Check your answer before you look at the solution

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  1. 16n(n+1)(2n+1)\tfrac{1}{6}n(n+1)(2n+1)
  2. 385385

Total2

  • MMethod mark: for a correct method, even with a slip.
  • AAccuracy mark: for a correct answer from a correct method.
  • BIndependent mark: for a correct fact or result on its own, with no method needed.
How did it go?

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