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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,312 prompts matching "IGCSE Additional Maths Y10: The intercepts a line makes on both axes — Spot My M"

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Common Mistakes: Giving the general solution of a trigonometric equation

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Worked Example: The shape, period and range of the cosine curve

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The midpoint formula applied to a given segment

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Worked Example: The equation of a circle with a given centre and radius

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Worked Example: The parametric form of a point on a parabola

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Show All Working: The rectangular hyperbola xy equals c squared

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Worked Example: The interquartile range of a set of ordered data

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Common Mistakes: The coefficient of variation, for comparing two sets

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Common Mistakes: The centre of gravity of a uniform lamina

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Show All Working: The time at which two bodies are nearest one another

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Common Mistakes: The relative displacement of two bodies after a given time

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Worked Example: The common acceleration of two connected particles

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Show All Working: A lift, and the person standing in it

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Common Mistakes: What becomes of the tension when the string goes slack

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