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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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743 prompts matching "Structured question: geometric progression with two given terms"

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Practice: The relation between log a of b and log b of a

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Explain Back: Spotting the pattern in a sequence of squares or cubes

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Worked Example: Which form of the sum formula to use when r is less than one

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Worked Example: Adding or subtracting the same number on both sides

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Practice: Reversing the sign when multiplying by a negative number

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Explain Back: Solving a linear inequality that contains brackets

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Show All Working: Writing the solution of an inequality as a set

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Common Mistakes: A double inequality such as 2 less than x less than 7

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Worked Example: The critical values of a quadratic inequality

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Practice: Using a table of signs to solve a quadratic inequality

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Explain Back: The solution when the quadratic expression is greater than nought

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Show All Working: Writing a quadratic solution set in interval form

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Common Mistakes: A quadratic inequality that has to be rearranged first

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Worked Example: Solving the equation modulus of x equals a

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