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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,328 prompts matching "Finding the values of m for which a line cuts a curve twice"

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

Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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What a function is and function notation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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Verifying an inverse function is correct

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri

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Non-calculator paper: simplify an index expression

I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify

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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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WAEC exam question: mixed AP and GP problem

I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

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WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

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WAEC exam question: testing an argument with a truth table

I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and

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Structured question: arrangements with a restriction

I am in SS 3. Give me a structured permutations question where letters or people must be a

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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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WAEC exam question: two unknowns from remainder and factor conditions

I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff

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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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Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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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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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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