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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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956 prompts matching "Show that a geometric series converges and find its sum to infinity"

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: differentiate y = (2x-1)(x+3) after expanding it first

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Worked example: find the determinant of [[5,2],[3,4]]

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Worked example: find the inverse of [[2,1],[5,3]]

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: how many ways can a president and secretary be chosen from 8 people

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

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

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

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

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

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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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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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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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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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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient

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