Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Structured question: solve and check a quadratic equation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Index expression with three unknown letters
I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed
Subscribe to unlock allEstimating the value of a surd
I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root
Subscribe to unlock allDividing 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
Subscribe to unlock allSimplifying nested surds
I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su
Subscribe to unlock allRationalising a denominator with three surd terms
I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more
Subscribe to unlock allSet-builder notation basics
I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su
Subscribe to unlock allPower 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
Subscribe to unlock allFinding 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,
Subscribe to unlock allSum 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
Subscribe to unlock allFinding a term given the sum of a series
I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding
Subscribe to unlock allRecurring decimals as an infinite geometric series
I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt
Subscribe to unlock allCommon student mistakes with progression formulas
I'm going to explain the most common mistakes SS1 students make when applying the AP and G
Subscribe to unlock allArea of a triangle from three coordinates
I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of
Subscribe to unlock allGradient as a rate of change interpretation
I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a
Subscribe to unlock allSubtracting two algebraic fractions
I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno
Subscribe to unlock allWorked Example: Why the square root of a non-square whole number is irrational
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th
Subscribe to unlock allExplain Back: Where the surds sit on the number line
I have just studied where the surds sit on the number line in my SS1 Further Mathematics c
Subscribe to unlock allWorked Example: What makes two surds equal
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on what m
Subscribe to unlock allWorked Example: Adding two surds that simplify to the same root
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding
Subscribe to unlock allExplain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
Subscribe to unlock all