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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,320 prompts matching "Factorising the sum of two cubes"

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

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

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

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

GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

Worked example: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

Structured word problem: WAEC exam hall seating combinations

I am in SS 3. Set me a structured combinations word problem about choosing students for an

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

Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

Structured question: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

Structured question: binomial expansion used for a probability estimate

I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a

Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

WAEC exam question: polynomial division real-world framing

I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi

WAEC exam question: sequences applied to loan repayment

I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e

Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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