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.
Verifying 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 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 allReviewing all the laws of indices before a test
I am in SS 1. Quiz me with 3 short Additional Maths questions on reviewing every law of in
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 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 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 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 allRationalising a denominator with a surd and integer
I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo
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 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 allSurds arising from Pythagoras' theorem
I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que
Subscribe to unlock allEstimating the value of a surd
I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root
Subscribe to unlock allMultiplying three surds together
I am in SS 1. Quiz me with 4 short Additional Maths questions on multiplying three surds t
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 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 all