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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Differentiating the square root of a function"

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

Surds arising from Pythagoras' theorem

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Rationalising the denominator when it's a surd minus a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Finding the centre and radius from a circle's equation

I am in SS 1. Quiz me with 3 short Additional Maths questions on finding the centre and ra

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Learn: Simplifying root 72 into its simplest form

You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b

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Common Mistakes: Writing a root as a fractional index before simplifying

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on wri

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Common Mistakes: Rejecting a root that makes a logarithm undefined

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rej

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IGCSE Additional Maths Y10: A cubic with only one real root — Common Mistakes

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

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Multiplication law of indices

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on the

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Division law of indices

I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div

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Power of a power rule

I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule

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Fractional indices as roots

I am in SS 1. Teach me fractional indices, converting between root form and index form, su

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Simplifying a fraction of two bracketed index terms

I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s

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Laws of indices with three different bases in one line

I am in SS 1. I attempted an Additional Maths question on simplifying an expression that c

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Multiplying two surds together

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Rationalising using the conjugate

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on rati

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Surds in the quadratic formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula

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Rationalising and then simplifying fully

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a tw

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Surd word problem: diagonal of a rectangle

I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec

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