755 prompts matching "Structured question: find f^-1(x) and verify it"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Finding 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
Recurring 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
Common student mistakes with progression formulas
I'm going to explain the most common mistakes SS1 students make when applying the AP and G
Finding the equation of a line parallel to the x-axis or y-axis through a point
I am in SS 1. I'm going to explain finding the equation of a line through a given point th
Full worked exam-style problem combining gradient, distance and midpoint
I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r
Solving simultaneous linear equations by substitution
I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the
Explain 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
Worked Example: Testing the even numbers for closure under addition
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin
Explain Back: What it means for an operation to be associative
I have just studied what it means for an operation to be associative in my SS1 Further Mat
Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Worked Example: Rewriting a negative index as a fraction
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on rewrit
Explain Back: A fractional index with a numerator above one
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem
Explain Back: An indicial equation with the unknown in the exponent on both sides
I have just studied an indicial equation with the unknown in the exponent on both sides in
Worked Example: Writing an index statement as a logarithm
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin
Explain Back: The logarithm of one, in any base
I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.
Worked Example: The law for the logarithm of a quotient
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on the la
Explain Back: Splitting a single logarithm into several
I have just studied splitting a single logarithm into several in my SS1 Further Mathematic
Worked Example: Converting a logarithm to base ten so that tables can be used
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on conver
Practice: The relation between log a of b and log b of a
Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b
Explain Back: A logarithmic equation written in two different bases
I have just studied a logarithmic equation written in two different bases in my SS1 Furthe