A cricketer's average in his first 18 innings was 16.5 runs.
After a further 8 innings, his average had increased to 32.5 runs.
What was his average for the last 8 innings?
Note: you don't need any cricket skills to solve this puzzle, nor do you need to know what an innings consists of.
Hint: Work out the total number of runs after the first 18 innings.
Answer: His average was 68.5 runs.
After the initial 18 innings, the average was 16.5, giving a total of 18 * 16.5 = 297 runs.
There were 26 innings in total, with an average of 32.5 runs.
Therefore an overall total of 26 * 32.5 = 845 runs.
Therefore 845 - 297 = 548 runs were run in the final 8 innings, giving an average of 548 / 8 = 68.5 runs.
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.
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
Can you find 10 boy's names?
[Ref: ZQNG] © Kevin Stone
Hint: These are the first letters of the names: F, J, J, S, D, P, C, J, k, B.
Frank, James, Jason, Steve, David, Peter, Chris, Jacob, Kevin, Brian.
During the recent Dezzlup Cup, the first four horses did well do finish ahead of the opposition. After Dinner was not last and the horse wearing blue was not third. Bitter Twist was before the horse in green. Dare Devil came first. Bitter Twist finished before After Dinner. Catch Me wore red but Bitter Twist did not wear yellow. Can you determine where each horse finished and the colours they wore?
[Ref: ZARJ] © Kevin Stone
Hint: Catch Me came last.
Answer: # Name Colour
1 Dare Devil yellow
2 Bitter Twist blue
3 After Dinner green
4 Catch Me red
Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word.
Each letter is only used once, and no letter is repeated in the rows/cols/blocks.
Letters allowed: S H O W E R S.
[Ref: ZVAR] © Alan Stillson and Frank Longo.
Across: FATE, WASH, RUNG, DOES
Down : GASH, TOWN, DUES, FARE
Boxes : WHAT, SAFE, SONG, RUDE
Note : Other anagrams of these words are OK as long as they don't change the answer grid.
Using the BrainTracker grid below, how many words can you find? Each word must contain the central
T and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?
Excellent: 61 words. Good: 45 words. Average: 35 words.
[Ref: ZJPK] © Kevin Stone
Hint: Every word must contain the central letter.
ant, ants, art, ASTRONOMY, at, atom, atoms, mast, mat, matron, matrons, mats, moat, moats, most, motor, motors, nasty, not, oat, oats, rant, rants, rat, rats, roast, roost, root, roots, rot, rots, sat, smart, snort, soot, sort, star, stay, stony, storm, stormy, story, stray, sty, tan, tans, tar, tars, to, ton, tons, too, torn, torso, toy, toys, tram, trams, tray, trays, try.
amort, ant, ants, antsy, aroynt, aroynts, art, arts, artsy, arty, astony, ASTRONOMY, at, atom, atoms, atomy, atony, mart, marts, mast, mat, matron, matrons, mats, mayst, moat, moats, moot, moots, mort, morts, most, mot, motor, motors, mots, nasty, not, nota, notary, oast, oat, oats, onto, oot, oots, ort, orts, ostomy, rant, rants, rat, rato, ratoon, ratoons, ratos, rats, roast, roost, root, roots, rooty, rot, rota, rotas, roto, rotos, rots, ryot, ryots, santo, sat, satyr, smart, smarty, snoot, snooty, snort, soot, sooty, sort, star, stay, stoa, stoma, stony, storm, stormy, story, stramony, stray, stroma, stroy, sty, ta, tam, tams, tan, tans, tansy, tao, taos, tar, tarn, tarns, taro, taros, tars, tas, to, tom, toman, tomans, toms, ton, tons, tony, too, toom, toon, toons, tor, tora, toras, torn, toro, toros, tors, torso, tory, toy, toyo, toyon, toyons, toyos, toys, tram, trams, trans, transom, tray, trays, trona, tronas, troy, troys, try, tryma, tsar, tyro, tyros.