Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Express in the form command word: 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.
Show that command word: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
Subscribe to unlock allQuiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te
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 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 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: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Subscribe to unlock allSolve a binomial probability problem #3
I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin
Subscribe to unlock allSimplifying algebraic fractions that need factorising a quadratic first
I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic
Subscribe to unlock allEvaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Subscribe to unlock allGraphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Subscribe to unlock allSelf-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct
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 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 allComparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
Subscribe to unlock allStructured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
Subscribe to unlock allEvaluate a 2x2 determinant #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Subscribe to unlock allSpot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
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
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