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Senior Secondary

Further Mathematics

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1,045 prompts matching "The greatest and the least resultant of two given forces"

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

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: 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: 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: how many ways can a committee of 4 be chosen from 10 people

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

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 measures of dispersion

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

Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

Structured question: solve and check a quadratic equation

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

Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

Learn: Factorising a quadratic whose coefficient of x squared is one

You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose

Common Mistakes: Writing down the roots once the brackets are found

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri

Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

Final Revision: Why completing the square always works

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

Final Revision: A word problem solved with the quadratic formula

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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