1,334 prompts matching "Learn: Why a surd is never left in the denominator"
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Structured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Structured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Structured question: circle with a diameter given by two endpoints
I am in SS 3. Give me a structured coordinate geometry question where two points are the e
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: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
WAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
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
Worked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
Worked Example: The associative law for the product of three matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as
Worked Example: Taking a common factor out of a matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on taking
Practice: The transpose of a 2 by 3 matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose
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
Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Worked Example: What a determinant of nought means for a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a
Worked Example: The units of mass, and the SI unit
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the un
Worked Example: The weight of a body as mass times g
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the we
Practice: The parallelogram law of forces
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the parallelog