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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Express in the form command word: completing the square"

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

Solve simultaneous equations using an inverse matrix #1

I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th

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Teach me the basics of force, mass and weight

I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Modulus, argument and the Argand diagram #3

I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in

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Show all working: complex number equation question

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so

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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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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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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

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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WAEC exam question: solving an equation involving surds

I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai

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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: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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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

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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

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Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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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

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Solve 2^(3x-1) = 16 with full working

I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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