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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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44 prompts matching "Simplifying bracketed algebraic index expressions"

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

Common Mistakes: The range of values of x for which an expression stays positive

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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

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

Structured question: solve an exponential equation using indices

I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik

Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

Show that command word: surd simplification

I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp

Structured question: use binomial expansion to approximate a value

I am in SS 3. Give me a structured question where I expand a binomial expression and then

Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

Express x^2 + 10x - 3 in completed-square form

I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for

Express x^2 - 14x + 20 in completed-square form

I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo

Express x^2 + 5x + 1 in completed-square form

I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form

Express 2x^2 - 8x + 3 in completed-square form

I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for

Express x^2 - 9x + 4 in completed-square form

I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form

Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

Give me an exam formula sheet for surds

I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying

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

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

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