1,132 prompts matching "Learn: Solving a cubic once it has been factorised"
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Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Verify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Quiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv
Spot my mistake resolving a force
I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component
Teach me composition of coplanar forces
I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr
Solve a binomial probability problem #1
Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial
Solve a binomial probability problem #2
Give me a binomial distribution problem where n=10, p=0.5, find P(X is at least 7), using
Solve a binomial probability problem #3
I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin
Solve a binomial probability problem #4
I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), usin
Solve a binomial probability problem #5
I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili
Explain the meaning of a probability distribution
I am in SS 3. Explain what a probability distribution is and how it differs from a single
WAEC past-question practice: probability distributions #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on binomial probability dis
WAEC past-question practice: probability distributions #2
I am in SS 3. Set me a WAEC-style Poisson distribution question exactly the way past paper
WAEC past-question practice: probability distributions #4
I am in SS 3. Test me with a timed WAEC-style probability distribution question, give it t
WAEC past-question practice: probability distributions #5
I am in SS 3. Set a WAEC Further Mathematics multi-part question: (a) binomial probability
Explain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Quiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
Vector addition, subtraction and magnitude #1
I am in SS 3. Give me a vector problem where a = 3i + 2j and b = -i + 5j, find a + b and a