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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,333 prompts matching "Give me practice solving quadratic equations"

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: 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

WAEC exam question: two unknowns from remainder and factor conditions

I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff

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 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

Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

Structured question: circle centre (3,-2) radius 5

I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius

Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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

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 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

Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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

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

Subtract two matrices, 2x2 #4

Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t

Subtract two matrices, 3x3 #8

Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]

Multiply matrices step by step #4

Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using

Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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 3x3 determinant by expansion #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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