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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Equating the rational and the irrational parts of an equation"

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 - 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

Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

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

Solve 2sin(x) + 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x

Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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

Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

Structured question: quadratic word problem about a thrown ball

I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro

Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

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

Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

Structured question: curve sketching using stationary points

I am in SS 3. Give me a structured question where I find the stationary points of a cubic

Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

Give me a mixed revision pack blending three topics

I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua

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

WAEC Prep: Checking a matrix subtraction by adding back

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

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

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

WAEC Prep: Multiplying two 3 by 3 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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