Rafael van der Vaart had efforts off the line and against the post in the first half - but Didier Drogba's sensational turn-and-shot ensured, out of nothing, a half-time Blues lead.
Referee Martin Atkinson incited shock after the restart when he judged that Mata's effort had bypassed a crowd on the line and gone in, though Spurs' anger lifted a little when Bale slotted home shortly after.
A late treble for the Blues, though - Ramires' finish after beating the offside trap and a fantastic free-kick strike from Frank Lampard before Florent Malouda's last-gasp fifth - ensured their advancement to face Liverpool next month.
Carlo Cudicini - 5
Inexplicably handed a start against his former side, Cudicini failed to distinguish himself with an effort to earn a spot in the first team ahead of Friedel. There was little he could do about the goals, but a world-class keeper would have saved them.
Kyle Walker - 7
Walker showed why he is giving Micah Richards the run for his money as England's best right back with an immaculate display. Walker was always tested down the flank and acquitted himself well on a busy night against Ramires, Mata, Drogba and Kalou.
William Gallas - 4
Gallas was bullied by Drogba all night long and was frequently out of pace to keep up in the game.
Ledley King - 5
It was always good to see him lead the Tottenham defence. Was. Past tense. It's clear that King is past his prime and Tottenham will need to replace him with another world class defender in order to challenge at the top.
Benoit Assou-Ekotto - 6
The Cameroonian didn't show the excellent link up he has with Bale going forward but was excellent in one-on-one challenges defensively and forced Chelsea to play narrow.
Aaron Lennon - 6
Lennon was drifting all across the midfield and troubled the thin Chelsea midfield, providing amunnition for Adebayor and Van der Vaart to work with.
Scott Parker (Off 90') - 7
A typically hardworking performance in midfield, constantly hounding and harrying the Chelsea midfield to protect his back for. He also showed his value going forward, threading a precise pass for Adebayor to set up Spurs' only goal.
Luka Modric - 4.5
Ineffective offensively for most of the game being hounded by Mikel. Once again, the theory that a muted Modric is a muted Spurs.
Gareth Bale - 6
Bale constantly troubled Chelsea when he had the ball at his feet and burned Bosingwa for pace every time.
Rafael Van Der Vaart (Off 75') - 6.5
The Dutchman was Spurs' biggest threat in the first half, frequently drifting into dangerous positions and slipping passes forward. Had a header cleared off the line and had a cross that struck the post. However, he faded deeper into the second half.
Emmanuel Adebayor - 5.5
Adebayor had a hard time in the match and could have gotten something onto Van der Vaart's dangerous cross. He played a vital part in the build up to Bale's goal and never stopped running.
Jermain Defoe (On 75') - 5.5
Sandro (On 90')
Petr Cech - 5.5
Lucky not to be sent-off after bringing down Adebayor in the build-up to Bale's goal, which could have resulted in a penalty and red card. Cech was also lucky not to concede a goal from Van der Vaart's header, requiring Terry to clear off the line.
Jose Bosingwa - 5
Bosingwa struggled against Bale's pace throughout. One can only wonder how he will fare if (a big if) he starts against Barcelona with their speedy wingers.
David Luiz (Off 59') - 7.5
Luiz covered well for Bosingwa and made several intelligent interceptions to nullify threats before they can develop. He picked up a hamstring injury on the build up to Tottenham's goal.
John Terry - 7.5
Contributed in the usual style he does defensively, clearing Van der Vaart's header off the line and managing with Tottenham's attack throughout.
Ashley Cole - 6.5
Pinned back by Lennon most of the game, Cole was solid and dependable down his flank and was there to tuck in and help when needed.
Jon Obi Mikel - 5
Mikel anchored the midfield with an excellent display breaking up play and was the unsung hero in this tie. However, he should have been sent off late in the game after needlessly lashing out at Scott Parker when the England captain offered him a hand to help him up. Utterly unsporting behaviour that has no place in football.
Frank Lampard - 7.5
A neat and bright display from Lampard saw him take a deeper role and orchestrate Chelsea's win with precise passing. He grabbed a stunning goal with a freekick from 30 yards that left Cudicini little chance.
Ramires (Off 82') - 7.5
A hardworking performance from Ramires, who was always chasing the ball and hounding Tottenham into their own half. Ramires did well to hold the ball up and provide extra avenues for his colleagues.
Juan Mata - 7.5
Although his 'goal' was scored amidst controversial circumstances, Mata was dangerous all night long slipping dangerous passes forward, setting up Ramires and Malouda's goals with two excellent assists.
Saloman Kalou - 7
Frustrated the Chelsea fans with some wayward shooting but played a key role for the Blues, especially on the break. Also tracked back well to help Cole against Lennon.
Didier Drogba (Off 84') - 8.5
Drogba turned back the time with a stunning strike to break the deadlock to ease the tension from his side with Spurs slightly dominating the first half. He was constantly a nuisance for Tottenham but it was apparent that his old sharpness was gone, given that he missed a free shot on goal but scuffed the shot.
Gary Cahill (On 59') - 7
Came on and filled in solidly in defence.
Florent Malouda (On 82')
Fernando Torres (On 84')