Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →427 prompts matching "A word problem solved by factorising a quadratic"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Rationalising a denominator with a surd and integer
I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo
Subscribe to unlock allSolving a simple surd equation
I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check
Subscribe to unlock allEstimating 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
Subscribe to unlock allSimplifying a fraction with a surd numerator
I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as
Subscribe to unlock allDividing 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
Subscribe to unlock allShow all working: full surd simplification exam question
I am in SS 1. Teach me a structured exam question requiring simplification, then rationali
Subscribe to unlock allExplaining why we rationalise denominators
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allQuiz me on quick surd simplifications
I am in SS 1. Teach me a rapid-fire set of surd simplification questions typical of the no
Subscribe to unlock allSurds and indices together in one question
I am in SS 1. Teach me a question that requires converting a surd to index form, simplifyi
Subscribe to unlock allRationalising a denominator with three surd terms
I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more
Subscribe to unlock allSurds in a coordinate geometry distance calculation
I am in SS 1. Teach me a coordinate geometry question where applying the distance formula
Subscribe to unlock allReading and writing set notation
I am in SS 1. Teach me reading and writing basic set notation, such as element-of, subset-
Subscribe to unlock allDrawing a two-set Venn diagram from data
I am in SS 1. I attempted an Additional Maths question on drawing a Venn diagram for two o
Subscribe to unlock allReading values off a completed Venn diagram
I am in SS 1. Teach me reading and interpreting information from a completed two-set Venn
Subscribe to unlock allDisjoint sets and what they mean
I am in SS 1. Teach me what it means for two sets to be disjoint, giving an example and dr
Subscribe to unlock allWorking backwards from Venn diagram totals
I am in SS 1. I'm going to explain a Venn diagram question where I am given some regions a
Subscribe to unlock allLogical reasoning with 'and' versus 'or' in sets
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allUsing sets to test simple logical statements
I am in SS 1. Quiz me with 4 short Additional Maths questions on using sets to test whethe
Subscribe to unlock allDe 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
Subscribe to unlock allReviewing set theory before a class test
I am in SS 1. Quiz me with 3 short Additional Maths questions on a structured review of ev
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