Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Teach me biconditional propositions"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Simplifying a fraction of two bracketed index terms
I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s
Subscribe to unlock allMultiplying and dividing indices in one expression
I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is
Subscribe to unlock allSolving 4^x = 8^(x-1) by matching bases
I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side
Subscribe to unlock allEvaluating a fractional-negative index expression
I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w
Subscribe to unlock allRewriting an expression with only positive indices
I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it
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 allIndex equation with equal exponents, unknown base
I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the
Subscribe to unlock allIndex expression with three unknown letters
I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed
Subscribe to unlock allAdding and subtracting like surds
I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati
Subscribe to unlock allMultiplying a surd by an integer
I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s
Subscribe to unlock allSquaring a surd expression
I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin
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 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 allSurd word problem: diagonal of a rectangle
I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec
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 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 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
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