Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →632 prompts matching "Domain of a simple algebraic function"
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 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
Subscribe to unlock allSolve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Subscribe to unlock allSolve 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 allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allMulti-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Subscribe to unlock allTimed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Subscribe to unlock all