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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,030 prompts matching "Solving an indicial equation where one side must be factorised first"

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: in how many ways can 6 people be seated around a circular table

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: construct the truth table for (p AND q) OR (NOT p)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Practice: The condition for the line to be a tangent

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition

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Practice: What logical equivalence means

Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e

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