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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain substitution method back to me"

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

Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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Explain-back: why matrix multiplication order matters

I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices

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Explain-back: normal distribution properties

I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Explain-back: the chain rule in calculus

I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow

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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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WAEC Further Mathematics: vectors and geometry combined question

I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors

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Quiz: Solving an index equation by writing both sides to the same base

Act as my SS3 Further Mathematics tutor and quiz me on solving an index equation by writin

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Learn: The meaning of n factorial, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n factorial, an

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Learn: The meaning of n choose r, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n choose r, and

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Show All Working: Solving a cos x plus b sin x equals c by the R method

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Spot My Mistake: The time taken to move between two points in simple harmonic motion

Act as my SS3 Further Mathematics tutor. Work a question on the time taken to move between

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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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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Worked Example: Checking the solution of three equations by substitution

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on checki

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Worked Example: Finding a value from a given probability by working backwards

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Explain the properties of the normal distribution curve

I am in SS 3. In your own words, explain the key properties of the normal distribution cur

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