Who has the best strike rate for an IPL century?

When Chris Gayle made the highest score in IPL history, he scored at a strike rate of 265. Is that the best for any IPL century? asked Chris Smalley from Australia
Chris Gayle's amazing unbeaten 175, for Royal Challengers Bangalore against Pune Warriors in Bengaluru in 2013, came from just 66 deliveries - that's a strike rate of 265.15 runs per 100 balls.

Two other IPL centuries just shade this, although neither threatened Gayle's for size. David Miller's unbeaten 101 for Kings XI Punjab against RCB in Mohali in 2013 came from 38 balls, a strike rate of 265.78, while Yusuf Pathan's round 100 for Rajasthan Royals against Mumbai Indians at the Brabourne Stadium in 2010 needed just 37 balls - a strike rate of 270.27.

Given a minimum of 25 runs, the highest strike rate for any IPL innings is 422.22, by Chris Morris, who made 38 not out from just nine balls, including four fours and three sixes, for Delhi Daredevils against Rising Pune Supergiant in Pune in 2017. For the full list, click here.

What are the highest innings totals without any extras in Tests and ODIs? asked Arvind Naik from India
The highest Test total not to contain a single extra is 328, by Pakistan against India in Lahore in 1954-55. That's quite a way clear of the next highest, South Africa's 252 against England in Durban in 1930-31. There are only five other innings of 200 or more that did not contain any extras, the most recent being Bangladesh's 231 against West Indies in Mirpur in 2011-12.

In one-day internationals, the record is India's 265 for 1 against Bangladesh at Edgbaston in the 2017 Champions Trophy. The only other innings over 200 without any extras is Scotland's 229 for 3 against the United Arab Emirates in Edinburgh in 2016. The record for T20Is is Pakistan's 129 for 7 against Bangladesh in Mirpur, also in 2016.

Has anyone been left not out nearer a hundred on debut for Pakistan than Imam-ul-Haq? asked Latif Mahmood from Pakistan
That's a good spot, as only three people have made a higher not-out score on debut for Pakistan than Imam-ul-Haq's unbeaten 74 in the second innings against Ireland in Dublin - and they all reached three figures: Azhar Mahmood (128 not out against South Africa in Rawalpindi in 1997-98), Mohammad Wasim (109 not out v New Zealand in Lahore in 1996-97), and Saleem Malik (100 not out v Sri Lanka in Karachi in 1981-82. The only other Pakistani to make an unbeaten half-century on Test debut is Faisal Iqbal, with 52 not out against New Zealand in Auckland in 2000-01.

The highest not-out innings by a debutant who missed a century is 85, set by England's Phil Sharpe against West Indies at Edgbaston in 1963, and equalled by Javed Omar in carrying his bat for Bangladesh against Zimbabwe in Bulawayo in 2000-01.

Who recorded the best bowling figures in a one-day international at Lord's? asked David Payne from England
There have now been 60 men's one-day internationals at Lord's (of English grounds, only The Oval has staged more, with 66), but only nine instances of bowlers taking five wickets in an innings. Of those, probably the most famous was Joel Garner's 5 for 38 for West Indies against England in the 1979 World Cup final, but actually the best figures are Daniel Vettori's 5 for 30 for New Zealand v West Indies in the NatWest Tri-Series final in 2004.

Darren Gough is the only Englishman on the list, with 5 for 44 against Australia at Lord's in 1997, while Australia's Brett Lee is the only bowler to claim two-five-fors there - 5 for 41 against England in 2005, and 5 for 49 against them in 2009.

All these, however, are bettered by Anya Shrubsole's 6 for 46 for England against India in the women's World Cup final at Lord's last year. Her England team-mate Katherine Brunt (5 for 25 v South Africa in 2008) and Australia's Cathryn Fitzpatrick (5 for 47 against England in 1998) have also taken five wickets in an innings in a women's ODI at Lord's.

I thought the rule for following was 200 runs' difference. But against Pakistan in 2001, England's lead was 188 and still they enforced the follow-on. How was this possible? asked Vikas Vadgama from India
The point about that match at Lord's in 2001 is that the first day was completely washed out. If that happens the match is treated as a four-day game, and the Laws state that in that case the follow-on margin is only 150 runs. So England were able to enforce the follow-on despite being only 188 in front (and went on to win by an innings).

A similar thing happened last week in Ireland's inaugural Test in Dublin: it became a four-day game after the first was washed out, which allowed Pakistan to enforce the follow-on even though they only led by 180 after the first innings.