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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "How long the inverse of a 3 by 3 matrix takes, and how to shorten it"

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 how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

Worked example: sum to infinity of a geometric series

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf

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

Teach me measures of dispersion for grouped data

Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio

Spot my mistake calculating standard deviation

Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I

Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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: 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: 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

Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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

Worked example: construct the truth table for (p AND q) OR (NOT p)

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

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