In the first-ever Test, Charles Bannerman scored 165 as Australia were bowled out for 245, the highest percentage contribution by one batsman in a Test innings. I want to know who has this record in ODIs and Twenty20s, asked Mazher Arshad from Lahore
Leading the way in one-day internationals is the great West Indian Viv Richards, who made an undefeated 189 out of 272 for 9 against England at Old Trafford in 1984 - that's 69.48% of the total (we're only counting completed innings here; that is to say ones in which the team was bowled out or used up all the overs). In second place is another famous innings - Kapil Dev's 175 not out in a total of 266 for 8 (65.78%) for India against Zimbabwe at Tunbridge Wells in the 1983 World Cup. In third place is the first all-out innings: New Zealand's Andrew Jones made 47 out of 74 (63.51%) against Pakistan in Sharjah in 1989-90, when the next-highest score was 5. For the full ODI list, click here. The corresponding record in Twenty20 internationals is held by Chris Gayle, with 63 not out in West Indies' total of 101 (62.37%) against Sri Lanka in the World Twenty20 semi-final at The Oval in June 2009. Coincidentally, the record Gayle beat was set earlier in the same game: Tillakaratne Dilshan scored 96 not out in Sri Lanka's 158 for 5, or 60.75%.

Was Australia's 520 against West Indies the highest Test total without an individual century? asked Hemant Kher (and several others)
Australia's 520 for 7 declared in Perth last week was only the fourth time any team had reached 500 in a Test innings without an individual century. Pakistan made 500 for 8 declared against Australia in Melbourne in 1981-82, when the highest score was Mudassar Nazar's 95; and in Adelaide in 1997-98 South Africa made 517, with the highest score being Brian McMillan's 87 not out. But the leader, and the only total higher than Australia's at the WACA not to include a hundred, remains India's 524 for 9 declared against New Zealand in Kanpur in 1976-77, when everyone reached double figures - even Bishan Bedi made 50 not out - but no-one exceeded Mohinder Amarnath's 70.

I spotted that Andy Caddick took seven wickets the last time he bowled in a Test. Has anyone else done this? asked Andrew Cowton from Brighton
Andy Caddick did indeed take 7 for 94 in the second innings of what turned out to be his final Test - the victory over Australia in Sydney in 2002-03. By my reckoning he was the eighth bowler to take seven wickets in the final Test innings in which he bowled: the best figures among them are 7 for 25, by the Australian Gerry Hazlitt against England at The Oval during the 1912 Triangular Tournament. Among the other bowlers to have done it are the famous pair of England's SF Barnes (7 for 88 against South Africa in Durban in 1913-14) and the Australian Hugh Trumble (7 for 28 against England in Melbourne in 1903-04).

Who has got the best batting average among players who have never made a double-century in a Test? asked Aloke Surana from India
If you impose a minimum of 10 innings, to exclude statistical oddities, the leader here is the New Zealander Stewie Dempster, who averaged 65.72 from his 10 Tests in the 1930s, with a highest score of 136 against England in Wellington in 1929-30. If you raise the qualification to 20 innings (Dempster had 15, four of them not out), the new leader is England's Herbert Sutcliffe, who averaged 60.73 from 54 Tests, with a highest score of 194 against Australia in Sydney in the first Test of the 1932-33 Bodyline series.

How many grandfather-father-son combinations have played Test cricket? asked Sharma from Italy
There are only two. Three generations of the Headley family played Tests - George and his son Ron for West Indies, then more recently Dean for England. They were joined in May 2005 when Bazid Khan played his only Test so far for Pakistan: his father Majid Khan played 63 Tests for them, while Majid's father Jahangir Khan played four Tests for India in pre-Partition days.

Whose autobiography is called Near Death on the Sub-Continent? asked Samir Aggrawal from Delhi
This is the recent life story of the Australian batsman Gavin Stevens, written by David Jenkins and published Down Under earlier this month. Stevens, from Adelaide, was an opening batsman who made 259 not out for South Australia against New South Wales in Sydney in December 1958. That helped win him selection for the tour of India and Pakistan in 1959-60, where he won all four of his Test caps - but he contracted hepatitis on the tour and nearly died, hence the title. Stevens never played first-class cricket again. The book hasn't made it as far as England yet, so if anyone has a spare copy, please let me know!