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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "Arrangements restricted at the first or the last place"

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

Test me under exam conditions on trigonometric identities and equations

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

Test me under exam conditions on differentiation

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

Give me common mistakes students make in quadratic equations

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

Give me common mistakes students make in permutations and combinations

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

Give me common mistakes students make in matrices

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

Give me common mistakes students make in vectors

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

Give me common mistakes students make in trigonometric identities and equations

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

Give me common mistakes students make in differentiation

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

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

Worked example: simplify (3+2i) + (1-5i)

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

Worked example: simplify (2+i)(3-4i)

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

Worked example: simplify (4+3i)/(1-2i)

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

Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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

Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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

Worked example: find a+b where a=(2,-1) and b=(-3,5)

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

Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

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

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