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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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805 prompts matching "Practice: Combining two logarithms into one"

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

Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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Projectile motion problem #2

I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s

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Projectile motion problem #3

I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60

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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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Spot my mistake in a projectile motion question

I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Worked example: differentiating using the quotient rule

I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi

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Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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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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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

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Evaluating a function at an algebraic input

I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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