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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,333 prompts matching "Checking an inverse by working the operation both ways"

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

The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

Composite function leading to solving an equation

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

One-to-one versus many-to-one functions

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

Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

Show that command word: logarithm laws

I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit

Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

Structured question: solve a trig equation for all solutions in range

I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an

WAEC exam question: mixed AP and GP problem

I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet

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

Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

Solve x^2 - 6x - 16 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question

Solve x^2 + 13x + 40 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question

Solve 2x^2 - 5x - 12 = 0 with full exam working

I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question

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