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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,331 prompts matching "Explain the difference between remainder and factor theorem"

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

Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

Solve for command word: quadratic trigonometric equation

I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,

Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

Give me a past-paper style question bank for quadratic factorisation

I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi

Give me a past-paper style question bank for solving quadratics by factorisation

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b

Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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