Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Teach me the universal and existential quantifiers"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explaining Venn diagram vocabulary in my own words
I am in SS 1. Teach me the key vocabulary of Venn diagrams and set notation such as univer
Subscribe to unlock allDivision 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 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 allFractional 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 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 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 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 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 allRationalising a denominator with three surd terms
I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more
Subscribe to unlock all