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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "Practice: Finding the term independent of x"

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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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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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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Composite function leading to solving an equation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a qu

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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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Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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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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One-to-one versus many-to-one functions

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the

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