755 prompts matching "Structured question: rationalise and simplify a surd expression"
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Deriving the geometric series sum formula
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Finding the first term or common difference from the sum formula
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Word problem: total distance from a bouncing ball
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Sum of the first n odd numbers
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Sequences involving fractions
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Three consecutive terms word problem
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Multi-part progression problem with an unknown first term
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Sum of a series expressed with algebraic terms
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Explaining why sum to infinity only works for |r| < 1
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Finding an endpoint given the midpoint
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Gradient of a line joining two points
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Condition for two lines to be perpendicular
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Finding the point of intersection of two lines
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Equation of the perpendicular bisector of a segment
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Deciding if three points are collinear
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Length of a line segment on a graph
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Coordinate geometry proof: right-angled triangle
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Distance from a point to the centre of a circle
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Word problem: coordinate geometry in a real map context
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Finding an unknown coordinate using the gradient formula
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