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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Give me practice on sum and product of roots"

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

Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

Solve 2sin(x) + 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x

Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

Subtract two matrices, 2x2 #2

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

Subtract two matrices, 3x3 #6

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

Multiply matrices step by step #1

Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth

Multiply matrices step by step #2

I am in SS 3. Show me how to multiply A=[[1,2],[3,4]], B=[[0,1],[-1,2]] using the row-time

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],[-

Multiply matrices step by step #5

Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth

Multiply matrices step by step #6

I am in SS 3. Show me how to multiply A=[[1,2,3]] (1x3) and B=[[1],[2],[3]] (3x1) using th

Evaluate a 2x2 determinant #1

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

Evaluate a 2x2 determinant #3

Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad

Evaluate a 2x2 determinant #5

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

Solve a binomial probability problem #1

Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial

Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

Solve a binomial probability problem #5

I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili

Solve a three coplanar forces in equilibrium problem #1

I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin

Spot my mistake finding a vector magnitude

I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an

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