1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Spot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
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 #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
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
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
Teach me the normal distribution standardisation formula
I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -
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
Worked Example: Testing whether a binary operation is closed on a given set
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
Practice: Rationalising a denominator of the form root a
Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising
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
Common Mistakes: Solving an equation in which the unknown sits under a root
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Common Mistakes: Solving an exponential equation using logarithms
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Quiz: The factor theorem, and testing whether x minus a is a factor
Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe
Practice: Factorising a cubic completely once one factor is known
Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a
Common Mistakes: Adding, subtracting and multiplying two polynomials
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.