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Further Mathematics

AI prompts for senior secondary learners.

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429 prompts matching "A quadratic whose two roots are both negative"

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

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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Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

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Subtract two matrices, 3x3 #8

Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]

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Find the resultant of two forces #5

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

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Structured question: permutation versus combination in one paper

I am in SS 3. Give me a structured two-part question where part (a) requires a permutation

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WAEC exam question: solving an equation involving surds

I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

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Spot my mistake in a Pascal's row truth table

I am in SS 3. I will show you my attempt at a truth table for a compound proposition with

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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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Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

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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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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Explain standard deviation and the normal curve

I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c

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Solve a three coplanar forces in equilibrium problem #2

I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two

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Quiz me on equilibrium conditions

I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili

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