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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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677 prompts matching "Practice: Showing that x plus 3 is a factor of a given polynomial"

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

Show All Working: The common logarithm, to base ten

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on the common loga

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Show All Working: Solving a simple logarithmic equation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on solving a simpl

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Show All Working: A geometric progression with a fractional common ratio

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a geometric pro

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Show All Working: Writing a quadratic solution set in interval form

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on writing a quadr

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I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai

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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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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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Multi-part index exam question with a real context

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

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Full past-question style index problem, timed

I am in SS 1. Teach me a complete WAEC/Additional Maths style index question exactly as it

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What makes a number a surd

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

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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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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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Surds in the quadratic formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula

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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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Quiz me on quick surd simplifications

I am in SS 1. Teach me a rapid-fire set of surd simplification questions typical of the no

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Reviewing every surd rule 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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