Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →189 prompts matching "proving two statements are logically equivalent"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Rationalising and then simplifying fully
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a tw
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 allRationalising the denominator when it's a surd minus a surd
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allSurds in trigonometric exact values
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Subscribe to unlock allSimplifying nested surds
I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su
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 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 allSet-builder notation basics
I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su
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 allSet difference A minus B
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on what
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 allNumber of elements in a set from a Venn diagram region count
I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately
Subscribe to unlock allSet operations exam question, multi-part
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a st
Subscribe to unlock allInterpreting neither-nor in a Venn diagram problem
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allA three-region overlap problem with unknowns
I am in SS 1. Quiz me with 4 short Additional Maths questions on a Venn diagram word probl
Subscribe to unlock allPower set of a three-element set
I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl
Subscribe to unlock allLogical reasoning puzzle solved using sets
I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people
Subscribe to unlock allFinding the nth term of an arithmetic sequence
I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,
Subscribe to unlock allSum of an arithmetic series given the first and last term
I am in SS 1. Teach me using the formula Sn = n/2 (a + l) to find the sum of an arithmetic
Subscribe to unlock allSum of the first n terms of a geometric series
I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s
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