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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,005 prompts matching "Solving an equation by first applying a Pythagorean identity"

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

Teach me what a matrix is

Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its

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Give me a full mixed revision test

Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co

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Give me a Week 11 revision checklist

Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering

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Explain why Further Maths topics connect to each other

Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like

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Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

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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)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

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Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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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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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Spot my mistake in a quadratic inequality solution

I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether

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

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the

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