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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The position of a point in space written as a vector"

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

Test me under exam conditions on surds

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su

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

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

Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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

Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

Learn: What makes an expression a polynomial

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol

Learn: How many rows a truth table needs

You are my personal SS2 Further Mathematics tutor. Teach me how many rows a truth table ne

Learn: What a tautology is

You are my personal SS2 Further Mathematics tutor. Teach me what a tautology is from the b

Learn: What makes an argument valid

You are my personal SS2 Further Mathematics tutor. Teach me what makes an argument valid f

Learn: What makes a permutation cyclic

You are my personal SS2 Further Mathematics tutor. Teach me what makes a permutation cycli

IGCSE Additional Maths Y11: A composite region built from a rectangle and a sector — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

IGCSE Additional Maths Y11: An approximate percentage change — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

IGCSE Additional Maths Y11: What to do when a question cannot be started — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

Factorise x^2 + 5x + 6

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise x^2 - 7x + 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise x^2 + 2x - 15

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise 2x^2 + 7x + 3

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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