Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Give me practice identifying tautologies"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Division law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Subscribe to unlock allPower of a power rule
I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule
Subscribe to unlock allZero index rule
I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai
Subscribe to unlock allNegative indices in algebraic fractions
I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express
Subscribe to unlock allFractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Subscribe to unlock allSimplifying a mixed index expression
I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression
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 allStandard form calculations using indices
I am in SS 1. Teach me converting numbers to and from standard form and using the laws of
Subscribe to unlock allSimplifying bracketed algebraic index expressions
I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying an expression
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 allComparing the size of two large index numbers
I am in SS 1. Quiz me with 5 short Additional Maths questions on comparing the size of two
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 allLaws of indices with three different bases in one line
I am in SS 1. I attempted an Additional Maths question on simplifying an expression that c
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 allIndex notation for a nested root
I am in SS 1. Quiz me with 3 short Additional Maths questions on rewriting a nested root,
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 allIndices in a WAEC-style savings context question
I am in SS 1. Quiz me with 3 short Additional Maths questions on a WAEC Further Mathematic
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 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
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