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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Expressing a rationalised answer in the form a root b over c"

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

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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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 completing the square

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

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Real-life application of the remainder theorem

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Real-life application of the binomial theorem

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

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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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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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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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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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Worked Example: Halving the coefficient of x and squaring it

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Practice: Working through a quadratic by completing the square, step by step

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Final Revision: Why completing the square always works

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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