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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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544 prompts matching "Simultaneous equations with fractional coefficients solved by matrix"

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: 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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Equation of a line with a given y-intercept and passing through a point

I am in SS 1. I attempted an Additional Maths question on finding the equation of a straig

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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 a simple surd equation

I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check

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Set problem leading to a linear equation

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

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Sketching a straight line from its equation

I am in SS 1. Teach me sketching the graph of a straight line given its equation, correctl

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Finding the equation of a circle from its centre and radius

I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^

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Finding the centre and radius from a circle's equation

I am in SS 1. Quiz me with 3 short Additional Maths questions on finding the centre and ra

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Index equations reducing to a quadratic

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

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Evaluating index expressions without a calculator

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

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Evaluating a negative fractional index

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

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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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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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Multi-part index exam question with a real context

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

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Simplifying a surd by extracting square factors

I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying a surd by ext

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Multiplying a surd by an integer

I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Simplifying a fraction with a surd numerator

I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as

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Solving a surd equation that gives an extraneous root

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving a surd equation s

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