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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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765 prompts matching "Rationalising a denominator with a single surd"

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: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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Structured question: logic puzzle solved with a truth table

I am in SS 3. Give me a short logic puzzle involving two or three statements about people

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Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

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Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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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

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Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

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Rationalise 7/(sqrt5 - 2) fully

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

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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WAEC past-question practice: coplanar forces #4

I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold

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WAEC past-question practice: vectors #4

I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m

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Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

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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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