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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.

Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

Spot my mistake integrating a polynomial

I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o

The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

Express x^2 + 10x - 3 in completed-square form

I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for

Express x^2 - 14x + 20 in completed-square form

I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo

Express x^2 + 5x + 1 in completed-square form

I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form

Express 2x^2 - 8x + 3 in completed-square form

I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for

Express x^2 - 9x + 4 in completed-square form

I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form

Solve 2^(3x-1) = 16 with full working

I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style

Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

Diagnose my weak topics using a short quiz

I am in SS 3. Give me one short question from each major topic covered so far in Further M

Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

Add two matrices, 2x2 #1

Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s

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