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

1,045 prompts matching "A binary operation defined on the integers"

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: 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: 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: 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 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: 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 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

Worked example: find the term in x^3 in the expansion of (2x-1)^6

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

Subscribe to unlock all

Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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

Subscribe to unlock all

Worked 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 all

Worked 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 all

Worked 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 all

Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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

Subscribe to unlock all

Real-life application of completing the square

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple

Subscribe to unlock all

Real-life application of the quadratic formula

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu

Subscribe to unlock all

Real-life application of the remainder theorem

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re

Subscribe to unlock all

Real-life application of the binomial theorem

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi

Subscribe to unlock all