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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Discriminant and the nature of roots"

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

IGCSE Additional Maths Y10: A cubic with only one real root — Common Mistakes

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

Multiplication law of indices

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

Division law of indices

I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div

Power of a power rule

I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule

Fractional indices as roots

I am in SS 1. Teach me fractional indices, converting between root form and index form, su

Standard form calculations using indices

I am in SS 1. Teach me converting numbers to and from standard form and using the laws of

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

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

Adding and subtracting like surds

I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati

Multiplying two surds together

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

Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

Rationalising 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

Rationalising using the conjugate

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

Surd answers in area and perimeter questions

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

Distinguishing rational and irrational numbers

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

Surds in the quadratic formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula

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

Multiplying three surds together

I am in SS 1. Quiz me with 4 short Additional Maths questions on multiplying three surds t

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

Reading 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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