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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Show me how marks are awarded on a structured question"

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

Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

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Worked example: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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Diagnose my weak topics using a short quiz

I am in SS 3. Give me one short question from each major topic covered so far in Further M

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr

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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

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Learn: A space diagram and a force diagram drawn side by side

You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di

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Learn: Finding two unknown forces by Lami's theorem

You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by

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Learn: The probability that a normal variable lies between two values

You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal

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Learn: The unit vectors i, j and k

You are my personal SS3 Further Mathematics tutor. Teach me the unit vectors i, j and k, w

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Learn: The real and the imaginary parts of a complex number

You are my personal SS3 Further Mathematics tutor. Teach me the real and the imaginary par

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Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

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Learn: Choosing between the product rule and the quotient rule

You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r

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Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

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Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

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Learn: The kinetic energy of a moving body

You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Evaluate a 2x2 determinant #2

I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ

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