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Senior Secondary

Further Mathematics

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1,045 prompts matching "Classifying a mixed list of numbers as rational or irrational"

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 coordinate geometry

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

Give me common mistakes students make in complex numbers

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

Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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

Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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

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: 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 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: 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: expand (1-x)^4 fully and use it to estimate (0.98)^4

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

Real-life application of sum and product of roots

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an

Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

Give me a 5-minute recap of quadratic equations

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,

Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

Give me a 5-minute recap of polynomial division

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of polynomial division,

Give me a 5-minute recap of cubic equations

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of cubic equations, cove

Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

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