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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,224 prompts matching "Rationalising a denominator with a surd and integer"

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

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: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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Structured question: prove a trigonometric identity

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

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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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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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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

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Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

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Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

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Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

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Structured question: permutation versus combination in one paper

I am in SS 3. Give me a structured two-part question where part (a) requires a permutation

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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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Spot my mistake in a combination calculation

I am in SS 3. I will show you my working for a combination problem. Check whether I used n

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WAEC exam question: full binomial expansion to a stated power

I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f

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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

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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

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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

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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

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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

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Structured question: three-part algebra question mixing methods

I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati

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