Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →415 prompts matching "Practice: Testing a binary operation for associativity"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Fractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Subscribe to unlock allSolving index equations with matching bases
I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with
Subscribe to unlock allIndices 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 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 allIndex laws with an unknown letter base
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allSolving an equation with a fractional exponent on x
I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x
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 allCombining index and surd notation
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on rewr
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 allAdding surds that need simplifying first
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on addi
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 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 allDistinguishing rational and irrational numbers
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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 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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