1,312 prompts matching "Learn: Deriving the quadratic formula by completing the square"
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Worked example: 3x3 matrix multiplication
I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Worked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
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 finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
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
Spot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Quiz me: matrices, determinants and inverses mixed
I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
Show all working: mixed matrices and determinants exam question
I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini
Show all working: calculus and stationary points multi-part
I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (
Common Mistakes: Showing that intersection distributes over union
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Spot My Mistake: Squaring a bracket that contains a surd
Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai
Final Revision: Proving that root 2 is irrational
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet