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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 "differentiation and stationary points question"

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: How accurate a graphical solution really is — Common Mistakes

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

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IGCSE Additional Maths Y10: Checking a graphical solution by substitution — Exam Technique

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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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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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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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 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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Estimating the value of a surd

I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root

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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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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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Set-builder notation basics

I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su

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Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

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Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

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Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Finding a term given the sum of a series

I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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