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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,332 prompts matching "Solving an equation where the surd must be isolated first"

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

Explain Back: The equation of the line through two given points

I have just studied the equation of the line through two given points in my SS3 Further Ma

Practice: The ellipse in standard form, and its two axes

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the ellipse in

Explain Back: The eccentricity of an ellipse

I have just studied the eccentricity of an ellipse in my SS3 Further Mathematics class. Le

Practice: The mean deviation from the mean

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the mean devia

Explain Back: The variance of an ungrouped set of data

I have just studied the variance of an ungrouped set of data in my SS3 Further Mathematics

Explain Back: Finding the reaction at each support of a loaded beam

I have just studied finding the reaction at each support of a loaded beam in my SS3 Furthe

Practice: The triangle of velocities for a boat crossing a river

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the triangle o

Explain Back: The angle of friction, and the coefficient of friction

I have just studied the angle of friction, and the coefficient of friction in my SS3 Furth

Practice: The maximum speed and the maximum acceleration in simple harmonic motion

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the maximum sp

Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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

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: arrangements with a restriction

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

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

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

Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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