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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Finding the angle between two vectors from their dot product"

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

Quiz me on the whole term's Further Maths topics

Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co

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Create flashcard questions for Further Maths topics

Act as my SS2 Further Maths tutor. Create ten flashcard-style question-and-answer pairs co

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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

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

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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

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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

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

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

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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Worked example: how many ways can a president and secretary be chosen from 8 people

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

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Worked example: how many ways can a committee of 4 be chosen from 10 people

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Real-life application of vectors

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where vector

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Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

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Give me a 5-minute recap of the quadratic formula

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula

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Give me a 5-minute recap of the remainder theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem

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Give me a 5-minute recap of the factor theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c

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Give me a 5-minute recap of the binomial theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the binomial theorem,

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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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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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