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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The work done against gravity in raising a body"

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

Test me under exam conditions on the binomial theorem

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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

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

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 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 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: in how many ways can 6 people be seated around a circular table

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

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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: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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

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WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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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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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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Spot My Mistake: What the formula gives when the discriminant is nought

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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Worked Example: The product of the roots as c over a

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the pr

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Show All Working: Roots equal in magnitude but opposite in sign

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in

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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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