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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "Quiz: The sum of the first fifty natural numbers"

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

Worked Example: The tension in a stretched elastic string

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

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Explain Back: The elastic potential energy stored in a stretched string

I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and

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Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled

Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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Evaluating a function at an algebraic input

I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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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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Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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Reviewing all function skills before a test

I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev

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Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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Structured question: use binomial expansion to approximate a value

I am in SS 3. Give me a structured question where I expand a binomial expression and then

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Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

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Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

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WAEC exam question: arranging books on a shelf with a rule

I am in SS 3. Give me a WAEC-style permutations question about arranging books on a shelf

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Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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