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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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189 prompts matching "proving two statements are logically equivalent"

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

Rationalising and then simplifying fully

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a tw

Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

Rationalising the denominator when it's a surd minus a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Surds in trigonometric exact values

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on why

Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

Reading values off a completed Venn diagram

I am in SS 1. Teach me reading and interpreting information from a completed two-set Venn

Set-builder notation basics

I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su

Disjoint sets and what they mean

I am in SS 1. Teach me what it means for two sets to be disjoint, giving an example and dr

Set difference A minus B

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

Working backwards from Venn diagram totals

I am in SS 1. I'm going to explain a Venn diagram question where I am given some regions a

Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

Set operations exam question, multi-part

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a st

Interpreting neither-nor in a Venn diagram problem

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

A three-region overlap problem with unknowns

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Venn diagram word probl

Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

Sum of an arithmetic series given the first and last term

I am in SS 1. Teach me using the formula Sn = n/2 (a + l) to find the sum of an arithmetic

Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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