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Further Mathematics

AI prompts for senior secondary learners.

πŸ“… 36-Week WAEC Study Guide for Further Mathematics β†’
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1,043 prompts matching "Express x^2 + 5x + 1 in completed-square form"

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 Y11: A point dividing a line in a given ratio, in vector form β€” Spot My Mistake

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on a p

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IGCSE Additional Maths Y11: The centroid of a triangle in vector form β€” IGCSE Exam Practice

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st

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IGCSE Additional Maths Y11: Using the formula list printed in the paper β€” Explain It Back

I am in SS 2. I have just studied using the formula list printed in the paper for Cambridg

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Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Solve x^2 + 5x + 6 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

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Solve 3x^2 - 5x - 2 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

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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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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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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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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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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Factorise x^2 + 5x + 6

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 3x^2 - 5x - 2

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^

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Teach me quadratic trinomial factorisation

Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t

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Complete the square for x^2 + 6x + 5 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 6x + 5 = 0 by c

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