Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,320 prompts matching "Expanding the product of two surd brackets"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allStructured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Subscribe to unlock allWAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Subscribe to unlock allExplain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Subscribe to unlock allWAEC past-question practice: coplanar forces #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the resultant of
Subscribe to unlock allQuiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
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 allSimplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
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 allOne-to-one versus many-to-one functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
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 all