Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Structured question: the constant term in a binomial expansion"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Index 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 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 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 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 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 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 allRationalising a denominator with a single surd
I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat
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 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 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 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 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 allExplaining why we rationalise denominators
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allA full WAEC-style surds past question
I am in SS 1. Quiz me with 3 short Additional Maths questions on a complete WAEC/Cambridge
Subscribe to unlock allSimplifying a surd expression before squaring
I am in SS 1. I attempted an Additional Maths question on why it matters to simplify a sur
Subscribe to unlock allSurds in a coordinate geometry distance calculation
I am in SS 1. Teach me a coordinate geometry question where applying the distance formula
Subscribe to unlock allReading and writing set notation
I am in SS 1. Teach me reading and writing basic set notation, such as element-of, subset-
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