Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →316 prompts matching "Simplifying a surd by extracting square factors"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
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 allQuiz me on choosing the correct method for a quadratic
I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor
Subscribe to unlock allStructured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Subscribe to unlock allWorked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Subscribe to unlock allStructured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Subscribe to unlock allWAEC past-question practice: matrices #3
I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat
Subscribe to unlock allComplex number arithmetic practice #3
I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)
Subscribe to unlock allComplex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Subscribe to unlock allEvaluating a function at a given value
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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 allRange of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
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 allShowing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Subscribe to unlock allFinding the inverse of a simple linear function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Subscribe to unlock allVerifying an inverse function is correct
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri
Subscribe to unlock allDomain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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 allMulti-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
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