Your Custom Text Here
I have two flat shapes of equal area, one is a capsule shape and one is a doughnut shape. The outer diameter of the doughnut is equal to the length of the capsule. The inner diameter of the doughnut and the width of the capsule are both equal to 10mm.
What is the outer diameter (to the nearest mm)?
This game uses all 100 scrabble tiles drawn at random, including the two blanks (which can represent any letter of your choosing).
The scoring system is the same as that of real ten-pin bowling: you get points for each word, equal to how many letters in the word.
In addition, there are bonus points available as follows:
If you get a spare (use all letters in one frame using two words), you get bonus points equal to the next word you score.
If you get a strike (a ten letter word), you get bonus points equal to the next two words you score.
If you only get one word in a frame, and it's not a strike, then for the purposes of bonus points, you get a zero length word too.
In real tenpin bowling, if you get a strike or a spare on the tenth frame, you get an eleventh frame to determine your bonus points, and if you were lucky enough to get a strike on the tenth and eleventh frames, you would get a twelfth frame.
In this game, there are no eleventh and twelfth frame, so to determine any bonus points you are entitled to after the tenth frame, look back at the words you scored in the first and second frames.
Theoretical maximum points is 300 (for 10 strikes), but anything over 100 is respectable. I’ve no idea what is the most points achievable with this selection, and will be playing along with everyone else!
Apologies for the lack of Puzzle of the Week last week and this. I've been extremely busy, but hope to bring it back soon.
Use the numbers 5, 15, 25, 35, 45 and 55, and only the basic mathematical operators, to try to achieve the total of 1234.
Can you find two reasonably common English words, six letters long and four letters long respectively, that between them use all ten letter of the top row of a standard keyboard?
Q W E R T Y U I O P
I have a five-digit number. Each of the five digits are different. If I divide my number by 68 and then multiply by 250 I get another five-digit number, which uses the same digits but in a different order.
What is my number?
Part 1: Use the numbers 21, 23, 25, 27 and 29, and only the basic mathematical operators, to try to achieve the total of 2016.
Part 2: Use the numbers 61, 63, 65, 67 and 69, and only the basic mathematical operators, to try to achieve the total of 2016.
The object of this game is to try to score as highly as possible by using letters in a given rack to form words. Just like in real ten pin bowling, you have a maximum of two attempts at each rack.
If you get a ten-letter word, that is a Strike and is worth 20 points.
If you find two words that between them use each of the ten pins once each, that is a Spare and is worth 15 points.
Any fewer than that, just total up the letters used to give your point total. So if you find a five-letter word and a three-letter word, that rack will have scored you 8 points.
I have randomly generated the racks by drawing 50 scrabble tiles out, discarding only the blanks (unlike the previous outing of this puzzle, where I tweaked it so that at least a spare was achievable on each rack - this way I can legitimately take part myself).
What is the highest total you can achieve over the five racks?
61 raised to the power of 61
or 61 61’s all multiplied together,
or 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61 x 61
is a very large number, with 109 digits altogether.
What are the last three digits?
1: Which country’s name, when you insert ‘GRA’ in the exact centre, becomes a common English word?
2: Which country’s name ends with the letter H?
3: Which country’s name, when you insert ‘OR’ in the exact centre, becomes a common English word?
4: Apart from Belgium, which European country’s name ends with the letter M?
5: Which country’s name is an anagram of the name of a Hollywood actress most famous in the 1990s?
I have a triangle with a strange property. I find that when I draw a line from the top corner to the base that is precisely 60cm long, the incircles I can draw in the two parts are exactly the same size. The distance between the centres is exactly 24cm.
What is the length of the base of the triangle?
I have taken ten 9-letter surnames of famous actors and actresses, split them into three-letter chunks, and mixed them up. Your task is to reassemble them.
ARD BLA CAS CHE CLI DEP ELD ETT FAI FFE GER HOL ICH IER IEU KOV LAN LWE MAL MAN NCH NIC NKS RAD RBA SFI SON TER VAL ZEL
I have decided to move 'Puzzle of the Week' from Tuesday to Friday. The next puzzle will appear at 8am on Friday 22nd July.
Sorry for any inconvenience.
Below is a random array of 25 single digit numbers.
Somewhere in it are four numbers, whose positions within the grid form a square, and whose sum is also a square number. Can you find them?
The object of this game is to try to score as highly as possible by using letters in a given rack to form words. Just like in real ten pin bowling, you have a maximum of two attempts at each rack.
If you get a ten-letter word, that is a Strike and is worth 20 points.
If you find two words that between them use each of the ten pins once each, that is a Spare and is worth 15 points.
Any fewer than that, just total up the letters used to give your point total. So if you find a five-letter word and a three-letter word, that rack will have scored you 8 points.
What is the highest total you can achieve over the five racks?
Almost like a wordsearch, but instead of searching for words, you are searching for 3x3 arrays where the letters move strictly forward through the alphabet. Here are two possible examples:
There are five such arrays to find, can you find them all?
Take the number 54! (the factorial of 54, the result of multiplying all of the positive whole numbers up to and including 54 - a number that is 72 digits long), and divide it by the largest square number that divides exactly into it.
The result is a number with 13 digits. What is it?
I have taken a quotation, and I have replaced each of the letters with one-, two- of three-digit numbers according to the table below. Can you change it back to letters?
Be careful though, as some sequences of numbers could lead to several words, for instance 31110 could mean CAT (3,1,110), but could equally mean MAD (31,1,10).
This particular quotation is from the mathematician George Polya, and explains very succinctly why I enjoy puzzles.
Norton lies 100 miles due north of Sutton.
Middleton is exactly halfway between Norton and Sutton.
Middleton is also halfway between Acton and Easton.
Barton is halfway between Acton and Middleton.
Weston is halfway between Barton and Norton.
Weston is due west of Easton.
The distance from Norton to Barton is the same as the distance between Acton and Sutton.
What is the distance from Weston to Easton?
Divide up this grid of 30 letters into six five-letter words. Each word will be in the shape of a pentomino, specifically a pentomino that doesn't branch off or curl all the way around and contact itself.
The seven possible pentomino shapes are shown below the grid. Their reflections or rotations would also be possible shapes.
