Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "The imaginary unit i, and why i squared is minus one"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solving 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 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 allCombining several index laws in one simplification
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Subscribe to unlock allEvaluating (1/2)^-3 without a calculator
I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou
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 allMulti-part index exam question with a real context
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allFull past-question style index problem, timed
I am in SS 1. Teach me a complete WAEC/Additional Maths style index question exactly as it
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 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 allSimplifying a fraction with a surd numerator
I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as
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 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 allSolving a surd equation that gives an extraneous root
I am in SS 1. Quiz me with 3 short Additional Maths questions on solving a surd equation s
Subscribe to unlock all