Martha is the daughter of Rankin Inlet artist John Kavik. Her husband, the late Harold Qarliksaq, was a graphic artist in Baker Lake. Her daughter Deborah Puyataq is a wallhanging artist in Baker Lake. Apsaq is known for her wall hangings, combining textile design and art to create unique pieces.

Exhibitions

• A Family Tradition: Inuit Art from Canada's Arctic, Presented by Arctic Inuit Art at the Virginia Museum of Fine Arts
• Arctic Mystery, Harmony and Transformation Baker Lake Textile Art, Art Gallery of the Canadian Embassy organized by Arctic Inuit Art
• Baker Lake Prints, Sculpture, Wallhangings, The Raven
• Baker Lake Wallhangings 1979, The Arctic Circle
• Baker Lake Wallhangings 1979, Kaiser House Gallery
• Baker Lake Wallhangings 1979, Elca London Studio
• Baker Lake Wallhangings 1981, Tundra Gallery
• Crafts from Arctic Canada/Artisanat de l'arctique canadien, Canadian Eskimo Arts Council
• Embroidered and Appliqued Wallhangings from Baker Lake, The Innuit Gallery of Eskimo Art
• Inuit Art from the Canadian Arctic, Bayly Art Museum University of Virginia
• Keewatin Wallhangings 1979-1981, Canadian Arctic Producers Ltd.
• Northern Lights: Inuit Textile Art from the Canadian Arctic, Baltimore Museum of Art
• Spirits and Dreams - Arts of the Inuit of Baker Lake, Department of Indian Affairs and Northern Development
• Women of the North: An Exhibition of art by Inuit Women of the Canadian Arctic, Marion Scott Gallery

Collections

• Macdonald Stewart Art Centre, Guelph

Publications

• ABRAHAM ETUNGAT — Sculpture, Author: Images Art Gallery, Publication: Toronto: Images Art Gallery. (1981)
• BAFFIN ISLAND., Author: Winnipeg Art Gallery, Publication: Winnipeg: The Winnipeg Art Gallery. (1983)
• EXHIBITION AND BALLOT SALE OF CANADIAN SCULPTURE., Author: National Gallery Association, Publication: Ottawa: National Gallery Association (1963)
• GRAVURES DES ESQUIMAUX DU CANADA = GRAPHIC ART BY ESKIMOS OF CANADA — Second collection, Author: Canada. Dept. of External Affairs, Publication: Ottawa: Department of External Affairs. (1970)
• KENOJUAK — Masterworks of the Inuit, Author: Blodgett, Jean, Publication: Toronto: Mintmark Press (1981)
• MAN, BEAST, AND TRANSFORMATION IN CANADIAN INUIT ART AND CULTURE., Author: Graburn, Nelson H.H., Publication: In: MANLIKE MONSTERS ON TRIAL. Ed. by Marjorie M. Halpin and Michael M. Ames. Vancouver: University of British Columbia Press (1980)
• PRINTS = ESTAMPES. ARCTIC QUEBEC 1975 = NOUVEAU-QUEBEC, Author: Federation des Cooperatives du Nouveau-Quebec, Publication: Ville St. Laurent (Montreal): La Federation des Cooperatives du Nouveau-Quebec (1975)
• THE INUIT ARTISTS OF INOUCDJOUAC, P.Q. — Historical and Biographical Information for the Viewers and Collectors of Eskimo Art, Author: Roberts, A. Barry, Publication: Montreal: La Federation des Co-operatives du Noveau Quebec with the co-operation of the Department of Indian and Northern Affairs (1978)