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Senior Secondary

Further Mathematics

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1,045 prompts matching "Learn: Hooke's law, and what the modulus of elasticity means"

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

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: solve x^2+4x+13=0 giving the roots as complex numbers

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

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:

Worked example: how many ways can a president and secretary be chosen from 8 people

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

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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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

Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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

Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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