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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 "Teach me resolving forces on an inclined plane"

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

Solving index equations with matching bases

I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with

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Simplifying a fraction of two bracketed index terms

I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s

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Evaluating a fractional-negative index expression

I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w

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Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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Index equation with equal exponents, unknown base

I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the

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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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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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Multiplying a surd by an integer

I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s

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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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Solving a simple surd equation

I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check

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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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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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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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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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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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De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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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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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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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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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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