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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "The product of a 2 by 2 matrix with the identity"

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

Final Revision: A savings problem modelled by an arithmetic progression

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

Show All Working: A geometric progression with a fractional common ratio

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a geometric pro

IGCSE Additional Maths Y10: Solving an equation with an algebraic index — Show All Working

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on s

IGCSE Additional Maths Y10: An equation with a logarithm on each side — Show All Working

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on a

IGCSE Additional Maths Y10: A growth or decay problem solved with natural logarithms — Show All Working

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on a

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

Rewriting different bases as the same base

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

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

Evaluating index expressions without a calculator

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

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

Simplifying an algebraic fraction with index rules

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

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

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

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

Rationalising a denominator with a single surd

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

Surds arising from Pythagoras' theorem

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

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

Surds in the quadratic formula

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

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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