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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The imaginary unit i, and why i squared is minus one"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solving index equations with matching bases

I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with

Indices word problem: bacteria growth

I am in SS 1. Teach me a word problem where a quantity grows according to an index formula

Simplifying 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

Solving 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

Evaluating 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

Rewriting 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

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

Combining several index laws in one simplification

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp

Evaluating (1/2)^-3 without a calculator

I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou

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

Index expression with three unknown letters

I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed

Multi-part index exam question with a real context

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Full past-question style index problem, timed

I am in SS 1. Teach me a complete WAEC/Additional Maths style index question exactly as it

Multiplying 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

Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

Solving a simple surd equation

I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check

Simplifying a fraction with a surd numerator

I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as

Surd 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

Show all working: full surd simplification exam question

I am in SS 1. Teach me a structured exam question requiring simplification, then rationali

Solving 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

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