Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →270 prompts matching "Post-multiplying a row vector by a matrix"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve the logarithmic equation log5(x+3) + log5(2) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =
Subscribe to unlock allSimplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Subscribe to unlock allSimplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
Subscribe to unlock allSimplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Subscribe to unlock allSimplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Subscribe to unlock allSimplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Subscribe to unlock allSolve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Subscribe to unlock allSolve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Subscribe to unlock allSolve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=
Subscribe to unlock allSolve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Subscribe to unlock allWorked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: find 2a-3b where a=(4,1) and b=(-2,3)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allStructured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Subscribe to unlock allCambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Subscribe to unlock all