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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,302 prompts matching "Simplifying an algebraic fraction by factorising first"

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

Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

Evaluating a function at a given value

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

Composite functions gf(x)

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

WAEC-style past question on functions

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

Structured question: three-part algebra question mixing methods

I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati

Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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