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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 "WAEC exam question: the converse, the inverse and the contrapositive"

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

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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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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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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Common student mistakes with progression formulas

I'm going to explain the most common mistakes SS1 students make when applying the AP and G

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Gradient from a linear equation

I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly

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Area of a triangle from three coordinates

I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of

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Gradient as a rate of change interpretation

I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a

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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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Solving simultaneous linear equations by substitution

I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the

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Solving a word problem using simultaneous equations

I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so

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Learn: Telling a rational number from an irrational one

You are my personal SS1 Further Mathematics tutor. Teach me telling a rational number from

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Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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

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Final Revision: Approximating a surd to three decimal places

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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