A parent, guardian, or teacher should always be involved when a child uses AI. Please review AI responses together before relying on them.
← Back to Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
Clear

1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"

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 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 all

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 all

Simplify 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 all

Simplify 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 all

Simplify 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 all

Simplify 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 all

Simplify 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 all

Worked 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 all

Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Subscribe to unlock all

Worked example: simplify (3+2i) + (1-5i)

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: simplify (2+i)(3-4i)

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: simplify (4+3i)/(1-2i)

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Worked example: find the unit vector in the direction of (6,8)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Structured 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

WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

Subscribe to unlock all

Cambridge-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

WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

Subscribe to unlock all

Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

Subscribe to unlock all