During the recent BrainBashers cipher convention, a binary code contest took place.
The contest consisted of a binary code transmission where the spaces between the letters were missing and there was no punctuation.
Each letter of the alphabet was translated into its binary equivalent based on its position in the alphabet. The resulting code was then blocked in groups of five digits.
a=1, b=10, c=11, d=100, e=101, f=110, g=111, h=1000, i=1001, j=1010, k=1011, l=1100, m=1101, n=1110, o=1111, p=10000, q=10001, r=10010, s=10011, t=10100, u=10101, v=10110, w=10111, x=11000, y=11001, z=11010
Triangle: 47. Doughnut
The area of a circle is π x Radius2.
The larger circle has diameter = 40, therefore, the radius is 20, and the area is π x 202 = 400π.
The smaller circle has diameter = 20, therefore, the radius is 10, and the area is π x 102 = 100π.
Therefore, the shaded area is 400π − 100π = 300π ≈ 942. Circle
The area of a circle is π x Radius2.
The circle with diameter 31 has a radius of 15.5 and an area of π x 15.52 ≈ 755.
The circle with diameter 35 has a radius of 17.5 and an area of π x 17.52 ≈ 962 (closest match).
The circle with diameter 39 has a radius of 19.5 and an area of π x 19.52 ≈ 1195. Square
The area of a square is Side x Side.
The square with side 31 has an area of 31 x 31 = 961 (closest match).
The square with side 35 has an area of 35 x 35 = 1225.
The square with side 39 has an area of 39 x 39 = 1521. Triangle
The area of a triangle is 1/2 x Base x Height. Using Pythagoras' theorem, it can be shown that the area of an equilateral triangle is √3 x Base2 ÷ 4.
The triangle with side 39 has an area of √3 x 39 x 39 ÷ 4 ≈ 659.
The triangle with side 43 has an area of √3 x 43 x 43 ÷ 4 ≈ 801.
The triangle with side 47 has an area of √3 x 47 x 47 ÷ 4 ≈ 957 (closest match).
?
Puzzle 728
Can you find at least 10 different colours hidden in the following paragraph? Can you find all 15?
Many injured animals are invited to live at the 'Toronto Range'. Stop in Kangaroo Corner and marvel at the lovely creatures within. Dig over the potato patch to find small furry caterpillars, but don't yell! Owls can be found swooping for edible nibbles, earwigs, or perhaps bluebottles in the undergrowth. The brown bear, Rob, lacks grace and can look like a sublime ogre, enter at your own risk! Peacocks can be found showing their colourful plumage, which looks fantastic when viewed with our ultraviolet torch.
Many inju[red] animals are invited t[o live] at the 'Toront[o Range]'. Sto[p in K]angaroo [Corn]er and marvel at the lovely creatures with[in. Dig o]ver the potato patch to find small furry caterpillars, but don't [yell! Ow]ls can be found swooping fo[r ed]ible nibbles, earwigs or perhaps [blue]bottles in the undergrowth. The [brown] bear, Ro[b, lack]s grace and can look like a sublime o[gre, en]ter at your own risk! [Pea]cocks can be found showing their colourful [plum]age, which looks fantastic when viewed with our ultra[violet] torch.
