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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 "An argument written in words and tested for validity"

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

WAEC-style past question on functions

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Give me a full Additional Maths style Paper 1 question set

I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques

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Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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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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Structured question: circle centre (3,-2) radius 5

I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius

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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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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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Simulate a WAEC Further Maths Section A objective test

I am in SS 3. Give me ten short objective-style Further Maths questions covering a mix of

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Build me a two-week countdown revision schedule

I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further

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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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Structured question: surd equation with a solution to reject

I am in SS 3. Give me a structured surd equation question where squaring both sides introd

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Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

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Structured question: logic puzzle solved with a truth table

I am in SS 3. Give me a short logic puzzle involving two or three statements about people

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