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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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950 prompts matching "Series exam question with show all working"

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

Complete the square for x^2 - 10x + 21 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by

Complete the square for x^2 + 3x - 4 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c

Complete the square for 3x^2 + 6x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by

Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

Use the quadratic formula on 2x^2 - 3x - 5 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 - 3x - 5 = 0 usi

Use the quadratic formula on x^2 + 4x - 7 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 4x - 7 = 0 usin

Use the quadratic formula on 3x^2 + 5x + 1 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 5x + 1 = 0 usi

Use the quadratic formula on x^2 - 2x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin

Use the quadratic formula on 4x^2 - 4x - 3 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 4x^2 - 4x - 3 = 0 usi

Use the quadratic formula on x^2 + x - 1 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + x - 1 = 0 using

Spot my mistake using the quadratic formula

Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think

Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

Quiz me on checking both pairs of solutions of a linear-quadratic pair

Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac

Give me practice on simultaneous equations

Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations

Spot my mistake in a linear-quadratic system

Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra

Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

Quiz me on line and curve intersection conditions

Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and

Spot my mistake finding a tangent condition

Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w

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