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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,320 prompts matching "Rewriting different bases as the same base"

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

Structured question: surd equation with a solution to reject

I am in SS 3. Give me a structured surd equation question where squaring both sides introd

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: circle and line with an unknown intercept

I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno

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: quadratic word problem about a thrown ball

I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro

Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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

Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

Structured question: binomial expansion used for a probability estimate

I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a

Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

Add two matrices, 2x2 #3

I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have

Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

Multiply matrices step by step #3

I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-

Scalar multiplication of a matrix #1

I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a

Scalar multiplication of a matrix #5

I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],

Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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