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

517 prompts matching "Full worked exam-style problem combining gradient, distance and midpoint"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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: find the distance between the points (1,2) and (4,6)

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

Subscribe to unlock all

Worked example: word problem leading to a quadratic

Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le

Subscribe to unlock all

Worked example: finding the gradient of a curve at a point

Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly

Subscribe to unlock all

Worked 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 all

Worked 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 all

Worked example: applying predicate logic to solve a problem

Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical

Subscribe to unlock all

Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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

Subscribe to unlock all

Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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

Subscribe to unlock all

Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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

Subscribe to unlock all

Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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

Subscribe to unlock all

Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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

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 stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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

Subscribe to unlock all

Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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

Subscribe to unlock all

Worked 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 all

Worked example: find the equation of the line through (2,3) and (5,9)

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

Subscribe to unlock all

Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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

Subscribe to unlock all

Worked example: find the equation of a circle with centre (2,-1) and radius 4

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

Subscribe to unlock all

Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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

Subscribe to unlock all