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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Spotting the pattern in a sequence of squares or cubes"

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

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

GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

Give me a past-paper style question bank for polynomial operations

I am in SS 3. Give me a bank of four exam-style questions on adding, subtracting and divid

Give me a past-paper style question bank for cubic equations

I am in SS 3. Give me a bank of four exam-style questions on solving cubic equations, rang

Give me a past-paper style question bank for functions

I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio

Give me a past-paper style question bank for surds

I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising

Give me a past-paper style question bank for logarithms

I am in SS 3. Give me a bank of four exam-style questions on the laws of logarithms, rangi

Give me a past-paper style question bank for trigonometric identities and equations

I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin

Give me a past-paper style question bank for propositional logic

I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an

Give me a past-paper style question bank for differentiation basics

I am in SS 3. Give me a bank of four exam-style questions on differentiation and stationar

Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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

Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

Structured question: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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