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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,004 prompts matching "Checking an indicial solution by substitution"

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

Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Show All Working: A quadratic whose two roots are both negative

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Show All Working: Completing the square with a fractional coefficient of x

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Show All Working: Roots equal in magnitude but opposite in sign

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Show All Working: The point of contact when a line touches a curve

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Show All Working: Synthetic division as a shorter route

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Show All Working: What the factor theorem says about the roots

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Show All Working: Factorising a polynomial with fractional roots

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Show All Working: Reading the final column of a truth table

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Show All Working: The distributive laws in logic

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Show All Working: The negation of a tautology

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Show All Working: The fallacy of affirming the consequent

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Show All Working: The complement rule used in a counting problem

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