Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "An answer left in surd form after completing the square"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allShow that command word: using the remainder to find an unknown coefficient
You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown
Subscribe to unlock allStructured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Subscribe to unlock allShow that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
Subscribe to unlock allShow that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Subscribe to unlock allFind the equation command word: circle through the origin
I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th
Subscribe to unlock allStructured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Subscribe to unlock allShow that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allStructured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an
Subscribe to unlock allFind the sum to infinity command word
I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric
Subscribe to unlock allStructured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
Subscribe to unlock allShow that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Subscribe to unlock allStructured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Subscribe to unlock allFind the coefficient command word: binomial expansion
I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia
Subscribe to unlock allStructured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allStructured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Subscribe to unlock allFind the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allDetermine command word: validity of an argument
I am in SS 3. Give me an exam question phrased 'determine whether the following argument i
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