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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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360 prompts matching "forming a quadratic equation from its roots"

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

Explaining the difference between an expression and an equation

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on expl

Learn: Telling a rational number from an irrational one

You are my personal SS1 Further Mathematics tutor. Teach me telling a rational number from

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

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

Common Mistakes: Expressing root 50 as a multiple of root 2

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp

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

Quiz: Subtracting one surd from another

Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.

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

Common Mistakes: Rationalising a denominator of the form root a over root b

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rat

Final Revision: Expressing a rationalised answer in the form a root b over c

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of e

Worked Example: Squaring both sides safely when solving a surd equation

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

Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

Show All Working: Finding a and b when a plus b root 2 equals a given surd

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b

Common Mistakes: A surd equation that has no real solution

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a s

Final Revision: A word problem that leads to an equation in surd form

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

Quiz: Evaluating a*b from a given rule

Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A

Spot My Mistake: Checking distributivity from two operation tables

Act as my SS1 Further Mathematics tutor. Work a question on checking distributivity from t

Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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

Quiz: Finding the identity element from an operation table

Act as my SS1 Further Mathematics tutor and quiz me on finding the identity element from a

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