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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Show me how marks are awarded on a structured question"

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

Index notation for a nested root

I am in SS 1. Quiz me with 3 short Additional Maths questions on rewriting a nested root,

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Index expression with three unknown letters

I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed

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Simplifying a surd by extracting square factors

I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying a surd by ext

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Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

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Rationalising a denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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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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Union and intersection of two number sets

I am in SS 1. I'm going to explain finding the union and intersection of two given sets of

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Set-builder notation basics

I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su

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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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Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

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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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Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

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Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Deriving the arithmetic series sum formula

I am in SS 1. Quiz me with 4 short Additional Maths questions on how the formula Sn = n/2

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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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Common student mistakes with progression formulas

I'm going to explain the most common mistakes SS1 students make when applying the AP and G

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Gradient from a linear equation

I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly

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Area of a triangle from three coordinates

I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of

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Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

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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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