Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,320 prompts matching "Factorising the difference of two squares"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
Subscribe to unlock allWAEC past-question practice: vectors #2
I am in SS 3. Set me a WAEC-style question on the scalar product of two vectors and the an
Subscribe to unlock allComplex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Subscribe to unlock allTeach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Subscribe to unlock allWorked example: 3x3 matrix multiplication
I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every
Subscribe to unlock allSpot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
Subscribe to unlock allSpot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Subscribe to unlock allEvaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Subscribe to unlock allComposite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Subscribe to unlock allComposite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allPiecewise-style simple function evaluation
I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha
Subscribe to unlock allFunction notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu
Subscribe to unlock allSolving f(x) = a given value
I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th
Subscribe to unlock allQuiz me rapid-fire on evaluating functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a ra
Subscribe to unlock allReviewing all function skills before a test
I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev
Subscribe to unlock allFunction machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
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 allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allWAEC exam question: solving an equation involving surds
I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai
Subscribe to unlock allShow that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
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