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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 "The double angle formula for sine"

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

Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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Common sign errors in algebraic manipulation

Show me a fully worked Cambridge/Additional Maths style solution to a question on the most

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I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai

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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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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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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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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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Index laws with an unknown letter base

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

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Solving an equation with a fractional exponent on x

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x

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Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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Index equation with equal exponents, unknown base

I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the

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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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Combining index and surd notation

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

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Adding and subtracting like surds

I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati

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Adding surds that need simplifying first

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

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Rationalising a denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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Distinguishing rational and irrational numbers

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

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Union and intersection of two number sets

I am in SS 1. I'm going to explain finding the union and intersection of two given sets of

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