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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Using distributivity to simplify an expression"

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

Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

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Difference of two squares practice

Act as my SS2 Further Maths tutor. Teach me how to recognise and factorise a difference of

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Give me practice solving quadratic equations

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa

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Spot my mistake solving x^2-3x-10=0

Act as my SS2 Further Maths tutor. I solved x^2-3x-10=0 and got x=2 or x=-5. Check my work

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Teach me the completing the square when the coefficient of x squared is one

You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici

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Give me practice on completing the square

Act as my SS2 Further Maths tutor. Give me eight practice questions on solving quadratic e

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Spot my mistake completing the square

Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi

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WAEC question requiring completing the square

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question that

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Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

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Teach me the deriving the quadratic formula

You are my SS2 Further Mathematics tutor. Teach me deriving the quadratic formula, in clea

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Worked example: reading the solutions as points of intersection

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin

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Quiz me on checking both pairs of solutions of a linear-quadratic pair

Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac

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Spot my mistake in a linear-quadratic system

Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra

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Teach me collecting like terms across two polynomials

You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno

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Worked example: subtracting two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno

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