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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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924 prompts matching "Writing three simultaneous equations as a single matrix equation"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Real-life application of measures of dispersion

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Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

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Learn: The sum of the roots as minus b over a

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Worked Example: The product of the roots as c over a

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Worked Example: The discriminant used as the test for intersection

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Practice: Polynomial notation such as P of x

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Show All Working: Synthetic division as a shorter route

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Quiz: Which values are worth testing as factors

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Practice: Factorising a quartic as the product of two quadratics

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Learn: Solving a cubic once it has been factorised

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Quiz: Why a conditional with a false antecedent counts as true

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Quiz: The biconditional as two conditionals taken together

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Show All Working: A circular arrangement with one fixed seat such as the head

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Spot My Mistake: A selection with at least a stated number of one kind

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Common Mistakes: The number of ways of dividing a class into groups

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Learn: Probability as favourable outcomes over total outcomes

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