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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "WAEC exam question: the converse, the inverse and the contrapositive"

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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

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

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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

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

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Quiz: Finding the sum and the product without solving the equation

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Final Revision: One root twice the other, and what that gives

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

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Worked Example: The discriminant used as the test for intersection

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Worked Example: The degree of a polynomial in one variable

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Quiz: The leading term and the constant term

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Worked Example: The division algorithm for polynomials

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

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Worked Example: The remainder on dividing by x minus 3

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