1,324 prompts matching "Closure on a set of three elements under a stated rule"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
Prove that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
AP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
GP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Worked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Worked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
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
Compare WAEC and Cambridge phrasing for the same topic
I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question
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
Spot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
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: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Spot My Mistake: Forming the determinant Dx by replacing the first column
Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by
Learn: Swapping and negating the entries when inverting a 2 by 2 matrix
You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr
Quiz: Checking an inverse by multiplying to get the identity
Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying