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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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695 prompts matching "Roots that are reciprocals of one another"

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

Perpendicular from a point to a line

I am in SS 1. Teach me finding the equation of the line through a given point that is perp

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Dividing algebraic fractions

I am in SS 1. I attempted an Additional Maths question on dividing one algebraic fraction

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What makes a number a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Adding and subtracting like surds

I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Surds arising from Pythagoras' theorem

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que

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Surds in the quadratic formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Rationalising the denominator when it's a surd minus a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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A three-region overlap problem with unknowns

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Venn diagram word probl

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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Sequences involving fractions

I am in SS 1. Quiz me with 5 short Additional Maths questions on finding the nth term and

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Finding an endpoint given the midpoint

I am in SS 1. Quiz me with 5 short Additional Maths questions on finding one endpoint of a

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Dividing a line segment in a given ratio

I am in SS 1. Teach me finding the coordinates of a point that divides a line segment inte

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Finding the centre and radius from a circle's equation

I am in SS 1. Quiz me with 3 short Additional Maths questions on finding the centre and ra

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Coordinate geometry involving a right-angle condition to find x

I am in SS 1. Teach me finding an unknown coordinate x so that two given line segments mee

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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Solving a word problem using simultaneous equations

I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so

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