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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,168 prompts matching "IGCSE Additional Maths Y10: A cubic with only one real root — Common Mistakes"

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

Structured question: logic puzzle solved with a truth table

I am in SS 3. Give me a short logic puzzle involving two or three statements about people

Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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

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

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(

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

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

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

Testing whether a relation is a function

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

Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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

Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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^

Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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