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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,323 prompts matching "Why completing the square always works"

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

Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

Act as my SS3 Further Mathematics tutor. Work a question on forming an equation whose root

Testing whether a relation is a function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test

The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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

Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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^

Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Show all working: full function exam question with three parts

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a fu

Solve x^2 - 6x - 16 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question

Solve x^2 + 13x + 40 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question

Solve 2x^2 - 5x - 12 = 0 with full exam working

I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question

Solve 5x^2 + 13x - 6 = 0 with full exam working

I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question

Solve x^2 - 2x - 35 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 2x - 35 = 0 as an Additional Maths exam question

Solve 4x^2 - 12x + 5 = 0 with full exam working

I am in SS 3. Give me the equation 4x^2 - 12x + 5 = 0 as an Additional Maths exam question

Solve x^2 + 7x - 18 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 7x - 18 = 0 as an Additional Maths exam question

Solve 3x^2 + x - 14 = 0 with full exam working

I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question

Solve 2^(3x-1) = 16 with full working

I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style

Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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