Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →643 prompts matching "Proving that a quadratic expression is positive for every real x"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Learn: The four inequality symbols, and what each one means
You are my personal SS1 Further Mathematics tutor. Teach me the four inequality symbols, a
Subscribe to unlock allShow All Working: Writing the solution of an inequality as a set
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Subscribe to unlock allLearn: What the modulus of a number means
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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 as fractions
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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
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Subscribe to unlock allLaws of indices with three different bases in one line
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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 allIndex laws with an unknown letter base
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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 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 allCombining index and surd notation
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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 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 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 allSurds combined with algebraic terms
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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 allSurds in trigonometric exact values
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Subscribe to unlock allSurd equation from a geometry context
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a su
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