Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,156 prompts matching "IGCSE Additional Maths Y11: Plotting y equals sin x from a table of values — Tea"
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Evaluate a 2x2 determinant #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Subscribe to unlock allEvaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Subscribe to unlock allExplain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
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 #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on evaluating a 3x3 determi
Subscribe to unlock allWAEC past-question practice: determinants #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul
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 allFind the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
Subscribe to unlock allFind the inverse of a 2x2 matrix #4
Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ
Subscribe to unlock allExplain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Subscribe to unlock allWAEC past-question practice: inverse matrices #2
I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac
Subscribe to unlock allWAEC past-question practice: inverse matrices #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style multi-part question: (a) find
Subscribe to unlock allFind the resultant of two forces #2
Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t
Subscribe to unlock allFind the resultant of two forces #4
I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as
Subscribe to unlock allResolve 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
Subscribe to unlock allResolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
Subscribe to unlock allFind the resultant of several concurrent forces #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
Subscribe to unlock allFind the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
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