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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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348 prompts matching "Build a quadratic equation from given roots"

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

Show all working: multi-part coordinate geometry question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a structured Cambridge/Ad

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Standard form calculations using indices

I am in SS 1. Teach me converting numbers to and from standard form and using the laws of

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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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Full past-question style index problem, timed

I am in SS 1. Teach me a complete WAEC/Additional Maths style index question exactly as it

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What makes a number a surd

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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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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Multiplying two surds together

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

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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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Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

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Expanding a binomial surd bracket

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

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Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

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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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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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Rationalising using the conjugate

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

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Rationalising a more complex conjugate denominator

I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a

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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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Comparing the size of two surds

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

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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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