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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,036 prompts matching "Structured question: solve an exponential equation using indices"

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: 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)

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

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

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

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Real-life application of sequences and series

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sequen

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Real-life application of sum and product of roots

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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Real-life application of the condition for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co

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Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

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Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

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Give me a 5-minute recap of sequences and series

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of sequences and series,

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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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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IGCSE Additional Maths Y11: How much working a 'show that' question needs — Worked Example

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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Give me practice with the quadratic formula

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve using

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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Quiz me: solving quadratics by factorisation

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto

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