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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Give me common mistakes students make in surds"

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

Squaring a surd expression

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

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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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

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Surds arising from Pythagoras' theorem

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que

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Estimating 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

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Multiplying three surds together

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

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Dividing 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

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Show all working: full surd simplification exam question

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

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Quiz me on quick surd simplifications

I am in SS 1. Teach me a rapid-fire set of surd simplification questions typical of the no

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Surds and indices together in one question

I am in SS 1. Teach me a question that requires converting a surd to index form, simplifyi

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Simplifying a surd expression before squaring

I am in SS 1. I attempted an Additional Maths question on why it matters to simplify a sur

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Listing elements of a set from a description

I am in SS 1. Quiz me with 4 short Additional Maths questions on writing down the elements

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Complement of a set within a universal set

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

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Recognising arithmetic vs geometric sequences

I am in SS 1. Teach me how to tell from a list of numbers whether a sequence is arithmetic

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Solving for x when three terms are in arithmetic progression

I am in SS 1. I attempted an Additional Maths question on finding the value of x given tha

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Solving for x when three terms are in geometric progression

I am in SS 1. Teach me finding the value of x given that three algebraic expressions in x

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Deriving the geometric series sum formula

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

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Sum of a geometric series with a negative common ratio

I am in SS 1. Teach me finding the sum of a geometric series where the common ratio is neg

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