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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,220 prompts matching "IGCSE Additional Maths Y10: Solving f of x equals f inverse of x — Exam Techniqu"

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

Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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Show all working: moments and equilibrium question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question combinin

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Show all working: vector geometry question

I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Simplifying 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

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Evaluating a function at a given value

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

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Evaluating 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(

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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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Composite functions gf(x)

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

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Function 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

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WAEC-style past question on functions

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

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Solve for command word: quadratic trigonometric equation

I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,

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Non-calculator paper: exact trigonometric values

I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome

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Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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WAEC exam question: full binomial expansion to a stated power

I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f

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Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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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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