1,324 prompts matching "Structured question: complete the square then find the minimum"
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Structured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Structured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a
Structured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
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
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Find the inverse of a 3x3 matrix using cofactors #1
I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f
Find the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
Explain Back: Finding alpha squared beta plus alpha beta squared
I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M
Structured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Structured question: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
Structured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Structured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Structured question: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Structured question: three linked function sub-questions
I am in SS 3. Give me a structured question with three parts on the same pair of functions
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
Structured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
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
Structured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
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: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno