1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Express x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
Solve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Structured word problem: WAEC exam hall seating combinations
I am in SS 3. Set me a structured combinations word problem about choosing students for an
Structured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
Structured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Give me exam-technique advice for running out of time
I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I
Structured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Structured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Worked Example: Adding two 3 by 3 matrices
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Worked Example: The associative law for the product of three matrices
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Worked Example: Taking a common factor out of a matrix
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Worked Example: Checking the solution of three equations by substitution
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Worked Example: The weight of a body as mass times g
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Worked Example: Drawing the polygon of forces to scale
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Worked Example: The moment of a force about a point on its own line of action
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Worked Example: The total moment of three parallel forces about one end
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Worked Example: Finding a value from a given probability by working backwards
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