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Senior Secondary

Further Mathematics

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1,324 prompts matching "Structured question: complete the square then find the minimum"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Evaluate a 3x3 determinant by expansion #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

Evaluate a 3x3 determinant by expansion #4

I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat

Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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

Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

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

Spot my mistake in standardising a normal variable

I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf

Spot my mistake taking moments about a pivot

I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron

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

Quiz me on rates of change problems

I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a

Quiz me on kinematics equations of motion

I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th

Explain-back: why matrix multiplication order matters

I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices

Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

Spot my mistake integrating a polynomial

I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o

Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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