755 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
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Distinguishing rational and irrational numbers
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Rationalising a denominator with three surd terms
I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more
Common student mistakes with progression formulas
I'm going to explain the most common mistakes SS1 students make when applying the AP and G
Gradient from a linear equation
I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly
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
Coordinate geometry exam question: quadrilateral vertices
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Full worked exam-style problem combining gradient, distance and midpoint
I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r
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
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
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
Common Mistakes: Expanding the product of two surd brackets
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp
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
Explain Back: A fractional index with a numerator above one
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem
Worked Example: Solving an indicial equation where one side must be factorised first
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on solvin
Practice: The relation between log a of b and log b of a
Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b
Explain Back: A logarithmic equation written in two different bases
I have just studied a logarithmic equation written in two different bases in my SS1 Furthe