At the school, she began working with Rasul Ibrahimov, an Azerbaijani Grandmaster (GM) who has long since remained her coach.

[8] Mammadzada earned her first FIDE rating in January 2009, starting out at 1764 at age eight after participating in the under-10 girls' division at the 2008 European Youth Championship.

She won her first ten games at the latter event en route to a score of 10½/11, two points ahead of Furtado, who finished in second place and was one of the players she defeated.

[15] Mammadzada had another triumph in 2012, finishing in clear first at the under-13 girls' World School Individual Chess Championship, ahead of two higher-rated Russian players: Anna Vasenina and Irina Drogovoz.

[16] She came close to medalling at European Youth Championship later that year, finishing in joint third in the under-12 girls' division with 7/9 along with two other players, but had a lesser tiebreak.

[20][25][26] At 14 years old, Mammadzada became Azerbaijan's youngest WGM in history, surpassing Turkan Mamedyarova's previous record of attaining the title at age 18.

[28] Her third and final IM norm came at the Nakhchivan Open in Azerbaijan, where she scored 5/9 and won her last-round game against Zaur Mammadov, an Azerbaijani GM.

[35][36] Later in 2018 at the Abu Dhabi Masters, she also won a game against Abhijeet Gupta, an Indian GM who with a rating of 2614 is the highest-rated player she has defeated.

[39] She also fared well at the European Women Club Cup later in the year, scoring 4/6 while representing Odlar Yurdu for a performance rating of 2597.

[40][41] After over a year-long hiatus due to the COVID-19 pandemic, Mammadzada was named a replacement player for the last leg of the FIDE Women's Grand Prix 2019–2021 in Gibraltar in May 2021.

She had an opportunity to earn a GM norm had she won or drawn against Anna Muzychuk in the ninth round, but lost that game.

[43][44][45] On July 4, 2022, Mammadzada won the women's tournament at the 7th International Chess Festival dedicated to the memory of the country's late president Lech Kaczyński in Poland.

[46][47] In August 2022, she won a silver medal at the European Individual Women's Championship with a score of 8/11, a ½ point behind Monika Soćko.

Mammadzada played on the first team's second board behind Zeinab Mamedjarova in 2016 and had a good performance, scoring 5½/10 and gaining rating points.

[50][51] At the 2018 Batumi Olympiad, Mammadzada played on the top board, but only managed an even score and lost rating points.

[56] Individually, Mammadzada also won a bronze medal on the top board with a score of 5½/8 corresponding to a performance rating of 2565, which was behind only Grandmasters Nana Dzagnidze and Pia Cramling.

[3] Fikret Sideifzade, an International Master who has coached the Azerbaijan women's team, described Mammadzada's strengths as "[having] a nice opening knowledge and strong nerves.