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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,303 prompts matching "Why brackets matter when an operation is not associative"

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

Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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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

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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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

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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

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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

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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

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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

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Quiz me on nPr versus nCr notation

I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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Give me a past-paper style question bank for surds

I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising

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Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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Learn: Solving two simultaneous equations by Cramer's rule

You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat

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