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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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335 prompts matching "Simplifying algebraic fractions that need factorising a quadratic first"

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

Explaining the difference between an expression and an equation

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

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Show All Working: Classifying a mixed list of numbers as rational or irrational

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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Practice: Collecting similar surds in an expression

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Show All Working: Deciding whether two given surds are equal without a calculator

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Practice: Multiplying a whole number by a surd

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Common Mistakes: Expanding the product of two surd brackets

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Practice: Rationalising a denominator with a whole number multiplying the surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising

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Show All Working: Checking a rationalised answer by decimal approximation

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Practice: Solving an equation with a surd on each side

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Practice: A binary operation set out as a table

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Practice: Testing a set for closure under multiplication

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Show All Working: Showing a set is not closed by a single counter-example

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