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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "The solution when the quadratic expression is less than nought"

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

Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl

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Worked Example: Testing whether a binary operation is closed on a given set

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Worked Example: The discriminant, and what each of its three cases means

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Show All Working: Solving a quadratic by completing the square

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Final Revision: Solving a disguised quadratic by substitution

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Worked Example: Relative velocity when two bodies move along the same line

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Quiz: The velocity of a body in simple harmonic motion at a given displacement

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

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Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled

Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute

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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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