Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "IGCSE Additional Maths Y11: Counting with the multiplication principle — Teach M"
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Final Revision: Writing the inequalities that describe a shaded region
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Subscribe to unlock allVerifying 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
Subscribe to unlock allRationalising 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 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 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 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 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
Subscribe to unlock allFinding a term given the sum of a series
I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding
Subscribe to unlock allFinding the equation of a line parallel to the x-axis or y-axis through a point
I am in SS 1. I'm going to explain finding the equation of a line through a given point th
Subscribe to unlock allWorked Example: Why the square root of a non-square whole number is irrational
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th
Subscribe to unlock allPractice: Deciding whether root 16 is rational or irrational
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Subscribe to unlock allExplain Back: Where the surds sit on the number line
I have just studied where the surds sit on the number line in my SS1 Further Mathematics c
Subscribe to unlock allWorked Example: Adding two surds that simplify to the same root
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Subscribe to unlock allCommon Mistakes: Expanding the product of two surd brackets
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Subscribe to unlock allExplain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
Subscribe to unlock allCommon Mistakes: Rationalising a denominator of the form root a over root b
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Subscribe to unlock allWorked Example: Why multiplying by the conjugate clears the surd
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Subscribe to unlock allPractice: Rationalising a denominator of the form a plus root b over c minus root d
Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising
Subscribe to unlock allExplain Back: The difference of two squares applied to surd conjugates
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Subscribe to unlock allShow 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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