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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 "Quiz: The direction cosines of a vector in three dimensions"

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

Proving a surd statement is true or false

I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta

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Show all working: full surd simplification exam question

I am in SS 1. Teach me a structured exam question requiring simplification, then rationali

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Surds in trigonometric exact values

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

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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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Surds in a coordinate geometry distance calculation

I am in SS 1. Teach me a coordinate geometry question where applying the distance formula

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Working backwards from Venn diagram totals

I am in SS 1. I'm going to explain a Venn diagram question where I am given some regions a

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Universal set and its role in set problems

I am in SS 1. Teach me what a universal set is and how it affects the answer to complement

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Logical reasoning with 'and' versus 'or' in sets

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

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Full WAEC-style set theory past question

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

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Set problem leading to a linear equation

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

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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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Series exam question with show all working

I am in SS 1. I'm going to explain a full Cambridge/Additional Maths style series question

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Sequences applied to simple interest vs compound interest

I am in SS 1. Teach me how simple interest over time behaves like an arithmetic sequence w

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Distance between two coordinate points

I am in SS 1. I attempted an Additional Maths question on finding the distance between two

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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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WAEC-style past question on coordinate geometry

I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co

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Common mistakes in coordinate geometry formulas

Teach me the most common mistakes SS1 students make with coordinate geometry formulas, suc

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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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