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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Find the value of k for a line to be tangent to a curve"

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

Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a

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Worked Example: Finding a particular term of a binomial expansion

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Worked Example: Finding a value from a given probability by working backwards

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Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Range of a simple function from its graph or values

I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

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Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

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Structured question: use binomial expansion to approximate a value

I am in SS 3. Give me a structured question where I expand a binomial expression and then

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Spot my mistake: checking each line of a trigonometric identity proof

I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Worked Example: Taking a common factor out of a matrix

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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Worked Example: Forming the determinant Dy by replacing the second column

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on formin

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