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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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950 prompts matching "Show that (1,2), (3,6), and (5,10) are collinear"

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

Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: how many ways can a president and secretary be chosen from 8 people

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: construct the truth table for (p AND q) OR (NOT p)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Learn: Factorising a quadratic whose coefficient of x squared is one

You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose

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Quiz: Factorising a difference of two squares in order to solve it

Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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Quiz: Completing the square on x squared plus 6x

Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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Final Revision: Why completing the square always works

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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