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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,235 prompts matching "A tautology used to justify a rule of algebra"

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: Two particles on a pulley at the top of an inclined plane

Act as my SS3 Further Mathematics tutor. Work a question on two particles on a pulley at t

Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of

Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

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

Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

Worked Example: The associative law for the product of three matrices

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

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

Worked Example: Checking the solution of three equations by substitution

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

Worked Example: The units of mass, and the SI unit

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

Worked Example: The weight of a body as mass times g

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

Worked Example: The direction of the resultant of two forces

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

Worked Example: The moment of a force about a point on its own line of action

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

Worked Example: Finding a particular term of a binomial expansion

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

Worked Example: The probability of no events at all in a Poisson distribution

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

Worked Example: The powers of i, and the cycle they follow

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

Worked Example: The quotient rule for differentiation

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

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