Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,281 prompts matching "Index law shortcuts for mental exam questions"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Why not every function has an inverse function
I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)
Subscribe to unlock allRestricting 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 allComposite function with three functions applied in order
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Subscribe to unlock allExplaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
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 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 allShow that command word: three points are collinear
I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi
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 allNon-calculator paper: exact trigonometric values
I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome
Subscribe to unlock allShow that command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
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
Subscribe to unlock allShow all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
Subscribe to unlock allExplain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
Subscribe to unlock allChoose your own method command word: solving a quadratic
I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th
Subscribe to unlock allFind the remainder command word: cubic divided by a linear factor
I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by
Subscribe to unlock allSolve 2^(3x-1) = 16 with full working
I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style
Subscribe to unlock allSolve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
Subscribe to unlock allSimplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Subscribe to unlock allSolve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
Subscribe to unlock allEvaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
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