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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,158 prompts matching "Find k command word: line tangent to a curve"

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

Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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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 an algebraic input

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

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Range 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

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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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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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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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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)

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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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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Subtract two matrices, 2x2 #2

I am in SS 3. Give me a matrix problem where A=[[1,-2],[3,0]], B=[[4,1],[-2,5]] and I have

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Subtract two matrices, 3x3 #6

I am in SS 3. Give me a matrix problem where A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1

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Multiply matrices step by step #2

I am in SS 3. Show me how to multiply A=[[1,2],[3,4]], B=[[0,1],[-1,2]] using the row-time

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Multiply matrices step by step #6

I am in SS 3. Show me how to multiply A=[[1,2,3]] (1x3) and B=[[1],[2],[3]] (3x1) using th

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Scalar multiplication of a matrix #4

I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a

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Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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Evaluate a 2x2 determinant #1

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

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Evaluate a 2x2 determinant #5

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

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