Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Roots equal in magnitude but opposite in sign"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Index 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 allProving a surd statement is true or false
I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta
Subscribe to unlock allRationalising a more complex conjugate denominator
I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a
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 allEqual sets versus equivalent sets
I am in SS 1. I attempted an Additional Maths question on the difference between two sets
Subscribe to unlock allDistributive law for sets
I am in SS 1. I attempted an Additional Maths question on the distributive law connecting
Subscribe to unlock allSolving for x when three terms are in arithmetic progression
I am in SS 1. I attempted an Additional Maths question on finding the value of x given tha
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 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 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 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 allSimplifying a surd by extracting square factors
I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying a surd by ext
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 allMultiplying two surds together
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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 allExpanding brackets containing surds
I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta
Subscribe to unlock allExpanding a binomial surd bracket
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on expa
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
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