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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 "Structured question: new equation with roots 1/alpha and 1/beta"

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

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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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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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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Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

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Coordinate geometry exam question: quadrilateral vertices

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

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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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Solving a linear inequality and showing the solution

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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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Worked Example: Why the square root of a non-square whole number is irrational

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Worked Example: Adding two surds that simplify to the same root

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Common Mistakes: Expanding the product of two surd brackets

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Worked Example: Squaring both sides safely when solving a surd equation

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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Worked Example: Solving an indicial equation where one side must be factorised first

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Practice: The relation between log a of b and log b of a

Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b

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Explain Back: A logarithmic equation written in two different bases

I have just studied a logarithmic equation written in two different bases in my SS1 Furthe

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