755 prompts matching "Structured question: complete the square then find the minimum"
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Fractional indices with numerator above 1
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Index equations reducing to a quadratic
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Standard form calculations using indices
I am in SS 1. Teach me converting numbers to and from standard form and using the laws of
Indices word problem: bacteria growth
I am in SS 1. Teach me a word problem where a quantity grows according to an index formula
Laws 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
Multiplying and dividing indices in one expression
I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is
Evaluating a negative fractional index
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Index notation for a nested root
I am in SS 1. Quiz me with 3 short Additional Maths questions on rewriting a nested root,
Index laws with an unknown letter base
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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
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
Simplifying indices before adding like terms
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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
Rationalising a more complex conjugate denominator
I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a
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
Solving a surd equation with terms on both sides
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Distinguishing rational and irrational numbers
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi