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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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938 prompts matching "Writing a root as a fractional index before simplifying"

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

Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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

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

Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

Teach me composite functions

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

Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

Worked Example: Factorising a quadratic whose leading coefficient is not one

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

Practice: Factorising a quadratic with a common factor taken out first

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

Final Revision: A word problem solved by factorising a quadratic

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

Worked Example: Halving the coefficient of x and squaring it

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

Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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