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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,323 prompts matching "Spot my mistake using the remainder theorem"

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

What a function is and function notation

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

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

Composite functions fg(x)

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

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

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

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

Reviewing all function skills before a test

I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev

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: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

Show that command word: stationary point classification

I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a

WAEC exam question: rate of change problem

I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such

Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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

Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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