Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Evaluating an expression using the laws of logarithms"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Scalar multiplication of a matrix #5
I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],
Subscribe to unlock allExplain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Subscribe to unlock allExplain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock allCompare 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
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Subscribe to unlock allSolve 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
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Subscribe to unlock allWAEC past-question practice: determinants #4
I am in SS 3. Test me with a timed WAEC-style determinant question — give it to me cold, l
Subscribe to unlock allWAEC past-question practice: determinants #5
I am in SS 3. Set a WAEC Further Mathematics multi-part question: (a) evaluate a 3x3 deter
Subscribe to unlock allVerify 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
Subscribe to unlock allWAEC past-question practice: coplanar forces #2
I am in SS 3. Set me a WAEC-style question on resolving a force into horizontal and vertic
Subscribe to unlock allWAEC past-question practice: coplanar forces #4
I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold
Subscribe to unlock allSpot 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
Subscribe to unlock allShow all working: combined binomial and normal question
I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #2
I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #3
I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a
Subscribe to unlock allVector 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
Subscribe to unlock allVector addition, subtraction and magnitude #2
I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +
Subscribe to unlock allScalar (dot) and vector (cross) product practice #1
I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th
Subscribe to unlock allScalar (dot) and vector (cross) product practice #2
I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .
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