643 prompts matching "Proving that a quadratic expression is positive for every real x"
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Final Revision: Checking a conjugate answer by multiplying back
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Final Revision: Identity and inverse together, and what they give the set
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Final Revision: Checking an indicial solution by substitution
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Final Revision: Using change of base to prove a stated relation
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Final Revision: Describing a sequence in words and then in symbols
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Final Revision: Inserting an arithmetic mean between two numbers
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Final Revision: A savings problem modelled by an arithmetic progression
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Sum of the first n odd numbers
I am in SS 1. Quiz me with 4 short Additional Maths questions on proving and using the fac
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
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
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
Adding and subtracting like surds
I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati
Simplifying nested surds
I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su
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
Set operations exam question, multi-part
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a st
Logical reasoning puzzle solved using sets
I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people
Sum of a series expressed with algebraic terms
I am in SS 1. Teach me finding the sum of the first n terms of a series where each term is
Coordinate geometry proof: right-angled triangle
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin
Coordinate geometry exam question: quadrilateral vertices
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi