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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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712 prompts matching "why a line tangent to a curve gives equal roots"

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

IGCSE Additional Maths Y10: Solving an equation with logarithms in two different bases — Worked Example

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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IGCSE Additional Maths Y10: The y-intercept of an exponential graph — Worked Example

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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IGCSE Additional Maths Y10: Showing that a quadrilateral is a rhombus — Worked Example

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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IGCSE Additional Maths Y10: The shape of a cubic graph with a negative leading coefficient — Worked Example

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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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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Simplifying a mixed index expression

I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression

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Solving index equations with matching bases

I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with

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Standard form calculations using indices

I am in SS 1. Teach me converting numbers to and from standard form and using the laws of

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Indices word problem: bacteria growth

I am in SS 1. Teach me a word problem where a quantity grows according to an index formula

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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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Multiplying and dividing indices in one expression

I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is

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Solving 4^x = 8^(x-1) by matching bases

I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side

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Evaluating a fractional-negative index expression

I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w

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Indices in a WAEC-style savings context question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a WAEC Further Mathematic

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Rewriting an expression with only positive indices

I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it

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Index law shortcuts for mental exam questions

I am in SS 1. Quiz me with 3 short Additional Maths questions on quick mental-maths style

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Index expression with three unknown letters

I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed

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Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

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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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Show all working: full surd simplification exam question

I am in SS 1. Teach me a structured exam question requiring simplification, then rationali

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