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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,245 prompts matching "Empty set and its notation"

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

Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Worked Example: A singular matrix, and why it has no inverse

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

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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

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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: Inertia, and what mass actually measures

You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall

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Quiz: Recovering the original force from its two components

Act as my SS3 Further Mathematics tutor and quiz me on recovering the original force from

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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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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Worked Example: The moment of a force about a point on its own line of action

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Quiz: The point about which the total moment of a set of forces vanishes

Act as my SS3 Further Mathematics tutor and quiz me on the point about which the total mom

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Learn: The expectation of a discrete random variable

You are my personal SS3 Further Mathematics tutor. Teach me the expectation of a discrete

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Learn: The standard deviation of a binomial distribution

You are my personal SS3 Further Mathematics tutor. Teach me the standard deviation of a bi

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Learn: The mean, median and mode of a normal distribution

You are my personal SS3 Further Mathematics tutor. Teach me the mean, median and mode of a

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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 angle between a vector and one of the axes

You are my personal SS3 Further Mathematics tutor. Teach me the angle between a vector and

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