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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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933 prompts matching "Cambridge-style question: change of base formula"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

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Worked example: how many ways can 5 books be arranged on a shelf

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: how many ways can a president and secretary be chosen from 8 people

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Worked example: in how many ways can 6 people be seated around a circular table

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Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

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Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Practice: Factorising a quadratic with a common factor taken out first

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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