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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,039 prompts matching "WAEC exam question: solving an equation involving surds"

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

Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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Worked example: simplify (3+2i) + (1-5i)

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Real-life application of sequences and series

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Real-life application of sum and product of roots

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an

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Real-life application of testing the validity of an argument

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Real-life application of the condition for a line to be tangent to a curve

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Give me a 5-minute recap of quadratic equations

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,

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Give me a 5-minute recap of cubic equations

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of cubic equations, cove

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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