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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "Solving an equation in which the unknown sits under a root"

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

Teach me finding the determinant of a two by two matrix

You are my SS2 Further Mathematics tutor. Teach me the determinant of a two by two matrix,

Worked example: finding the angle between two vectors

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw

Create a revision plan for polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Help me create a short revision plan for polynomials an

Create a revision plan for the binomial theorem

Act as my SS2 Further Maths tutor. Help me create a short revision plan for the binomial t

Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

Test me under exam conditions on polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po

Give me common mistakes students make in polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=

Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Worked example: find the distance between the points (1,2) and (4,6)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Worked example: find the modulus and argument of 3+4i

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Worked example: find the determinant of [[5,2],[3,4]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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