Consider a quadrilateral with corners at (0,0), (2,0), (a,b), and (0,2) where (a,b) is such that a, b > 0 and a + b > 2 (this is just to ensure it's convex).
What's its area, in terms of a and b?
#UKMathsChat #mathsky
#geometrypuzzle
(I'll even say "maths" instead of "math")
(I'll even say "maths" instead of "math")
1/🧵
S ⊆ {1, ..., N}
call S "mid" if, for every integer n, if n-1 and n+1 are elements of S, then n is in S.
#MathSky 🧮 #iTeachMath ♾️
example: if N=5, the set {2,3,4,5} is a mid subset.
⭐️ find a formula f(N) for the # of mid subsets of {1, ..., N} ⭐️
Rationalise the denominator of
1/(√2+√3+√5).
#MathsToday #AlevelMaths #UKMathsChat
Rationalise the denominator of
1/(√2+√3+√5).
"Using proof by induction, prove that x^(2n) - y^(2n) is divisible by (x+y)"
hitting a bit of a wall
#alevelmaths
(As usual I want no hints please. I want to do it myself.)
Here is today's #OCRMathsPuzzle
Arrange the first 16 prime numbers in the grid below (one per cell), so that the sum of each row and the sum of each column equal the given totals.
#MathsToday #UKMathsChat #RecreationalMath
#Arithmetic #PrimeNumbers
@cambridgeocr.bsky.social
(As usual I want no hints please. I want to do it myself.)
Here's this week's Monday area problem:
Find the exact value of the green area.
(As usual please don’t help me, even if I ask myself a question. I want to do it myself.)
The last one was a bit mean (I put it there to slow down the fast finishers) but they did manage it when I gave them the right substitution. #ALevelMaths
(As usual please don’t help me, even if I ask myself a question. I want to do it myself.)
I'd do it myself, but I need to go to bed!
If you only sum EVERY OTHER term (starting at and ending on the same terms as before), you get 39.
What is the sum of EVERY THIRD term (again, starting at and ending on the same terms)?
#iTeachMath
I'd do it myself, but I need to go to bed!
A particular polygon has only two distinct interior angle measures: 165° and 166°. How many sides does it have?
#iTeachMath
More an exercise in (trigonometry) language fluency than anything else. i.e. do you know how to interpret the terminology to be able to do it in your head.
@davidkbutler.bsky.social
#UKMathsChat #iTeachMaths