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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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445 prompts matching "How many roots a cubic equation has"

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

Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

Finding the equation of a circle from its centre and radius

I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^

Finding the centre and radius from a circle's equation

I am in SS 1. Quiz me with 3 short Additional Maths questions on finding the centre and ra

Solving a linear inequality and showing the solution

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Solving simultaneous linear equations by substitution

I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the

Changing the subject with a square or square root

I am in SS 1. Quiz me with 4 short Additional Maths questions on changing the subject of a

Solving a word problem using simultaneous equations

I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so

Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

Show All Working: Classifying a mixed list of numbers as rational or irrational

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on classifying a m

Quiz: Reducing two surds to the same root in order to compare them

Act as my SS1 Further Mathematics tutor and quiz me on reducing two surds to the same root

Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

Spot My Mistake: Why root 8 and root 2 turn out to be similar

Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out

Show All Working: Deciding whether two given surds are equal without a calculator

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe

Learn: Simplifying root 72 into its simplest form

You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s

Worked Example: Adding two surds that simplify to the same root

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding

Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

Show All Working: Simplifying a surd expression that contains brackets

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying a s

Quiz: Rationalising a denominator of the form one over root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

Show All Working: Checking a rationalised answer by decimal approximation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati

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