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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"

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

Spot my mistake in a determinant expansion

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Spot my mistake in standardising a normal variable

I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf

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WAEC past-question practice: probability distributions #4

I am in SS 3. Test me with a timed WAEC-style probability distribution question, give it t

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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Common Mistakes: Showing that intersection distributes over union

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

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Worked Example: Testing whether a binary operation is closed on a given set

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

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Practice: Testing a binary operation for associativity

Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina

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Practice: Rationalising a denominator of the form root a

Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising

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Spot My Mistake: Squaring a bracket that contains a surd

Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai

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Common Mistakes: Solving an equation in which the unknown sits under a root

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

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Common Mistakes: Solving an exponential equation using logarithms

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

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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

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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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Practice: Factorising a cubic completely once one factor is known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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