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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 "The vector equation of a line through a point in a given direction"

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

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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Simplifying a mixed index expression

I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression

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Standard form calculations using indices

I am in SS 1. Teach me converting numbers to and from standard form and using the laws of

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Solving 4^x = 8^(x-1) by matching bases

I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side

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Rationalising a more complex conjugate denominator

I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a

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Distinguishing rational and irrational numbers

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

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Surd word problem: diagonal of a rectangle

I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec

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Explaining why we rationalise denominators

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

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Simplifying a surd expression before squaring

I am in SS 1. I attempted an Additional Maths question on why it matters to simplify a sur

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Reading and writing set notation

I am in SS 1. Teach me reading and writing basic set notation, such as element-of, subset-

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Survey word problem using a two-set Venn diagram

I am in SS 1. Teach me a classic survey word problem, such as a group of students where so

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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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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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Solving for x when three terms are in geometric progression

I am in SS 1. Teach me finding the value of x given that three algebraic expressions in x

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Sum of a geometric series with a negative common ratio

I am in SS 1. Teach me finding the sum of a geometric series where the common ratio is neg

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Reviewing every sequence and series formula before a test

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

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Finding a sequence's sum between two term numbers

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

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Sum of a series expressed with algebraic terms

I am in SS 1. Teach me finding the sum of the first n terms of a series where each term is

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Distance formula with negative coordinates

I am in SS 1. Teach me finding the distance between two points where some coordinates are

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Show all working: multi-part coordinate geometry question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a structured Cambridge/Ad

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