1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Worked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Worked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Structured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
Structured question: AP and GP sharing the same first three terms
I am in SS 3. Give me a structured question describing a sequence whose first three given
Structured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Structured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
Explain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
Non-calculator paper: coordinate geometry with fractional gradients
I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor
Spot My Mistake: Squaring a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with
Practice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by
Quiz: Solving AX equals B and XA equals B by different routes
Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B
Quiz: The zero matrix, and how it differs from nought in arithmetic
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Quiz: Finding an unknown entry from a stated matrix equation
Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta
Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
Act as my SS3 Further Mathematics tutor and quiz me on expanding a 3 by 3 determinant alon