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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Why the total area under the normal curve is one"

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Worked example: find the distance between the points (1,2) and (4,6)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Common Mistakes: Writing down the roots once the brackets are found

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Spot My Mistake: What the formula gives when the discriminant is nought

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WAEC Prep: What the formula gives when the discriminant is negative

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Common Mistakes: Roots that are reciprocals of one another

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Common Mistakes: A symmetric function needing the sum and product twice over

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Show All Working: A simultaneous pair in which the second equation is a circle

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Worked Example: The discriminant used as the test for intersection

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Spot My Mistake: Finding the values of c for which a line is a tangent

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Common Mistakes: Multiplying one polynomial by another

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Learn: Setting out the division of a cubic by a linear expression

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Worked Example: The division algorithm for polynomials

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Show All Working: Synthetic division as a shorter route

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Common Mistakes: The degree of the quotient and of the remainder

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