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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me rapid-fire on gradients and equations of lines"

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

Express x^2 + 10x - 3 in completed-square form

I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for

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Express x^2 - 14x + 20 in completed-square form

I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo

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Express x^2 + 5x + 1 in completed-square form

I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form

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Express 2x^2 - 8x + 3 in completed-square form

I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for

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Express x^2 - 9x + 4 in completed-square form

I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form

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Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

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Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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WAEC Prep: Adding two 2 by 2 matrices entry by entry

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: Subtracting a matrix from itself

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through subtracting a matr

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WAEC Prep: The product of a 2 by 2 matrix with the identity

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the product of a 2

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WAEC Prep: Raising a 2 by 2 matrix to the third power

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m

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WAEC Prep: Multiplying two 2 by 2 matrices, row into column

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

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