866 prompts matching "proving a statement is a tautology"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
Solving an equation formed by equating two algebraic fractions
I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s
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(
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
Mapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
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
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
Why not every function has an inverse function
I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)
Explaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
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
Show that command word: using the remainder to find an unknown coefficient
You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown
Non-calculator paper: simplify an index expression
I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify
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
Show that command word: three points are collinear
I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi
Structured question: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
Structured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an