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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 "Structured question: new equation with roots 1/alpha and 1/beta"

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

Dividing algebraic fractions

I am in SS 1. I attempted an Additional Maths question on dividing one algebraic fraction

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Changing the subject of a simple formula

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

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

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

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

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why

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Practice: Collecting similar surds in an expression

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

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Practice: Multiplying a whole number by a surd

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

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Show All Working: Simplifying a surd expression that contains brackets

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

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Show All Working: A conjugate where the surd term comes first

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

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

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Practice: A binary operation set out as a table

Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera

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

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

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Common Mistakes: A binary operation that is ordinary addition in disguise

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b

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Practice: Testing a set for closure under multiplication

Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set

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

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i

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Common Mistakes: Closure on a set of three elements under a stated rule

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Show All Working: An operation that is associative but not commutative

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an operation th

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Common Mistakes: Subtraction as an example of neither law

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Practice: Multiplication distributing over addition in ordinary arithmetic

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

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Show All Working: Using distributivity to simplify an expression

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

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