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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 conditions for a line and a curve to intersect"

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

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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Index laws with an unknown letter base

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

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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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Estimating the value of a surd

I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root

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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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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Reading values off a completed Venn diagram

I am in SS 1. Teach me reading and interpreting information from a completed two-set Venn

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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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Proper subsets versus subsets

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

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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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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 a term given the sum of a series

I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding

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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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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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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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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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