309 prompts matching "Practice: A 2 by 2 matrix multiplied by a column vector"
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Show All Working: Checking a rationalised answer by decimal approximation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati
Worked Example: Why multiplying by the conjugate clears the surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu
Practice: Rationalising a denominator of the form a plus root b over c minus root d
Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising
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
Practice: Solving an equation with a surd on each side
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving an equ
Practice: A binary operation set out as a table
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera
Practice: Testing a set for closure under multiplication
Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set
Show All Working: Showing a set is not closed by a single counter-example
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i
Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Practice: Why an identity element must work from both sides
Act as my SS1 Further Mathematics tutor. Give me five practice questions on why an identit
Common Mistakes: Checking an inverse by working the operation both ways
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on che
Practice: The law for a power raised to another power
Act as my SS1 Further Mathematics tutor. Give me five practice questions on the law for a
Practice: A fractional index with numerator one, read as a root
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a fractional i
Learn: Solving an equation by writing both sides to the same base
You are my personal SS1 Further Mathematics tutor. Teach me solving an equation by writing
Practice: Solving 2 to the power x equals 32
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving 2 to t
Common Mistakes: An indicial equation solved by substitution
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on an
Final Revision: Checking an indicial solution by substitution
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Practice: Evaluating log to base 2 of 8
Act as my SS1 Further Mathematics tutor. Give me five practice questions on evaluating log