1801: three-year-old season

Quiz was unraced as a two-year-old and did not appear on a racecourse until late August 1801, when he had two engagement at York Racecourse. On his debut he finished third behind Lenox and Miracle, who ran a dead heat in a sweepstakes over one and a half miles. Two days later Quiz was runner-up to Lord Darlington's colt Muly Moloch in a two-mile sweepstakes, showing improved form to beat Lenox into third.^[4]

On 22 September, Quiz was one of eight colts, from an original entry of eleven, to contest the twenty-sixth running of the St Leger Stakes over two miles at Doncaster Racecourse. Muly Moloch was made favourite ahead of Lenox and Miracle, with Quiz, entering the race as a maiden the fifth choice in the betting on 7/1. Ridden by John Shepherd, Quiz won the classic from Sir William Gerard's Belleisle, with Miracle third.^[5] Quiz ended his season with two races at Malton in October, beginning with a win over a single opponent in a two-mile sweepstakes. On the following afternoon, Quiz was matched against older horses in a King's Plate, a three-mile race run in a series of heats, with the prize going to the first horse to win twice. Quiz won the first heat, but was beaten by the six-year-old Game-nut in the second and finished third to the same horse in final heat.^[6]

1802: four-year-old season

The grounds of Brocket Hall, where Quiz won three Gold Cups.

In 1802, Quiz was sold to race in the pea-green and black colours^[7] of Francis Dawson and moved to compete in the south of England. He began his four-year-old campaign at Newmarket's Craven meeting in April where he won a 100 guinea match race against Mr Payne's unnamed colt, carrying thirty-two pounds more than his rival.^[8] At the next Newmarket meeting in May, Quiz sustained his only defeat of the season when finishing third under top weight in a ten furlong sweepstakes. At the Second Spring meeting two weeks later, Quiz contested the Jockey Club Plate in which he defeated the 1799 St Leger winner Cockfighter over the four mile Beacon Course, despite being opposed in the betting.^[9] On 28 May, Quiz appeared at Brocket-Hall in Hertfordshire where he won the local Gold Cup over three and a half miles, beating five opponents at odds of 4/5.

Quiz returned north in late summer for two races at York. On the 24 August he won a King's Plate, repeating his St Leger performance by beating Belleisle into second. Four days later he defeated Lennox, Alonzo and Muly Moloch to win a division of the valuable Great Subscription Purse over four miles.^[10]

1803: five-year-old season

Quiz continued his run of success by claiming a further six prizes in the spring of 1803, although only two of them were in competitive races. At the Craven meeting on 11 April he won a 1000 guinea match race, defeating Highland Fling over the Beacon Course. On the following afternoon, he started favourite for the Oatlands Stakes, a handicap race over the two mile Ditch-In course and won from eight opponents.^[11] On the opening day of the First Spring meeting two weeks later Quiz walked over for a subscription race over the Round Course to claim his seventh "win" in succession.^[12] At the Second Spring meeting in May, Squire Teazle and Babylon were both withdrawn from match races against Quiz over the Beacon Course, enabling Dawson to collect 150 guineas in forfeits without having to run his horse. Later at the same meeting, however, Quiz was beaten for the first time in a year, when he was defeated by Lord Sackvill's six-year-old Dick Andrews in a 100 guinea match. The Sporting Magazine reported that the race attracted more than £10,000 in betting.^[7] On 20 May Quiz won his second Brocket Hall Gold Cup, walking over the three and a half mile course when the other fourteen runners were withdrawn by their owners.^[13]

1804: six-year-old season

On 16 April at Newmarket, Quiz began his fourth season by beating Mr Delmé Radcliffe's horse Driver in a subscription race over the Round Course. Driver was in fact owned by the Prince of Wales, who used Radcliffe's name when running his horses at Newmarket following a disagreement with the Jockey Club in 1791.^[14] Two days later Quiz was beaten by the Duke of Grafton's mare Penelope in a sweepstakes over the four mile Duke's Course.^[15] In May, Quiz finished second to another outstanding mare when he was beaten by Sir Charles Bunbury's Derby-winner Eleanor over ten furlongs at Newmarket. Later that month Quiz and Eleanor met again at level weights in the Brocket Hall Gold Cup. The mare was strongly favoured in the betting, but Quiz reversed the Newmarket form to win the race for the third year in succession.^[16] As in the previous season, Quiz did not race in 1804 after his victory at Brocket Hall.

Francis Dawson died in 1804,^[17] and Quiz passed into the ownership of Francis Neale.

1805: seven-year-old season

For the fourth year in succession, Quiz began his season at the Craven meeting, where he finished unplaced behind the 1803 Derby winner Ditto in the weight-for-age Craven Stakes. He then missed the two Newmarket spring meetings before reappearing at Epsom Downs Racecourse at the end of May. He won both heats of a £50 Plate on Derby Day and both heats of the four-mile Surrey Yeomens' Plate on the following afternoon.^[18]

Quiz raced at a variety of courses in summer and early autumn. On 17 July he started favourite for a race at Winchester in Hampshire but was withdrawn after being beaten in the first two heats. In the following month he appeared at Reading in Berkshire where he carried top weight of 126 pounds to a half length^[19] victory in the local Gold Cup.^[20] A week later, Quiz was at Egham in Surrey where he was made joint favourite for the local Gold Cup but bolted during the race and failed to finish. Two days later he finished second to Eleanor in the Town Plate at the same venue. He ended his season at Abingdon a week later, winning the Members' Purse in two heats from a single opponent.^[21]

1806: eight-year-old season

In 1806, Quiz yet again began his season at the Craven meeting, where he carried 130 pounds to an easy^[22] victory in a division of the Oatlands Stakes.^[23] At the Second Spring meeting in May he finished second when attempting to concede six pounds to the 1802 St Leger winner Orville in a sweepstakes over the Beacon Course. Racing at Ascot in June, Quiz won for the second time as an eight-year-old when he defeated Major Wilson's brother to Vivaldi in a three-mile sweepstakes.^[24] Quiz's season ended on 5 August at Oxford, where he had two engagements: he finished second to Mr Howorth's four-year-old Langton in the Oxford Cup and then "fell lame" after finishing third in the first heat of the Oxford Town Plate.^[25]

1807: nine-year-old season

Quiz's final season as a racehorse began, as usual, at the Craven meeting, where he finished fifth of the seven runners under a weight of 129 pounds in a division of the Oatlands Stakes. After this race, Quiz was sold and ran at the First Spring meeting two weeks later in the ownership of Lord Rous. Quiz was matched against Lord Sackville's five-year-old Bustard and recorded his last victory by winning "very easy"^[26] at odds of 5/2 over the Beacon Course.^[27] His final race came two days later, when he started favourite for a King's Plate over the same course, but finished last of the five runners behind Hippomenes.