1,301 prompts matching "An arithmetic progression with a negative common difference"
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Composite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Finding the inverse of a simple linear function
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Function notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu
Finding f(x) given a description of the function rule
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Explaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
Quiz me rapid-fire on evaluating functions
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Structured question: equation of a line through two points
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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: prove a trigonometric identity
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Non-calculator paper: exact trigonometric values
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Structured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Timed 20-minute Further Maths exam practice
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Structured question: identify a tautology using a truth table
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Structured question: two compound statements compared row by row
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Structured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Quiz me on nPr versus nCr notation
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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
Express x^2 + 10x - 3 in completed-square form
I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for
Express x^2 - 14x + 20 in completed-square form
I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo
Express x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form