Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Teach me logically equivalent propositions"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Indices word problem: bacteria growth
I am in SS 1. Teach me a word problem where a quantity grows according to an index formula
Subscribe to unlock allSimplifying 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
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