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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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658 prompts matching "Explain why a complex number times its conjugate is real"

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

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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Empty set and its notation

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

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Explaining Venn diagram vocabulary in my own words

I am in SS 1. Teach me the key vocabulary of Venn diagrams and set notation such as univer

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Common mistakes with set notation

Quiz me with 4 short Additional Maths questions on the most common set notation mistakes S

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Recognising arithmetic vs geometric sequences

I am in SS 1. Teach me how to tell from a list of numbers whether a sequence is arithmetic

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Arithmetic mean between two numbers

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

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Comparing arithmetic and geometric growth over time

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on comp

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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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Equation of the perpendicular bisector of a segment

I am in SS 1. Quiz me with 4 short Additional Maths questions on finding the equation of t

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Sketching a straight line from its equation

I am in SS 1. Teach me sketching the graph of a straight line given its equation, correctl

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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 equation of a circle from its centre and radius

I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^

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Locus problem: points equidistant from two fixed points

I am in SS 1. Quiz me with 3 short Additional Maths questions on a locus-style coordinate

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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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Factorising the difference of two squares

I am in SS 1. Quiz me with 3 short Additional Maths questions on factorising the differenc

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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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Learn: Telling a rational number from an irrational one

You are my personal SS1 Further Mathematics tutor. Teach me telling a rational number from

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Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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