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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,117 prompts matching "word problem leading to a quadratic"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Showing 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

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Graphs 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

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Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

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Multi-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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Restricting 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^

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Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

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Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

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Spot my mistake in a combination calculation

I am in SS 3. I will show you my working for a combination problem. Check whether I used n

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Structured 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

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Worked 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

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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices

I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in

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Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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Explain Back: The order of the answer when two matrices are multiplied

I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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