1,330 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
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Piecewise-style simple function evaluation
I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Quiz me rapid-fire on evaluating functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a ra
Function machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Comparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
Non-calculator paper: simplify an index expression
I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify
Evaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Prove that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Find the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Find the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Find the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Simulate a WAEC Further Maths Section A objective test
I am in SS 3. Give me ten short objective-style Further Maths questions covering a mix of
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 three matrices of the same order
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through adding three matri
WAEC Prep: The commutative law for matrix addition
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the commutative la
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
Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
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