Homework is an uncountable noun: ‘We’re given a lot of homework at the weekend.’ Homework = (1) preparatory school work done outside school (especially at home); work that a teacher gives a pupil to do at home: ‘What was your score on your homework?’ (2) preliminary or preparatory work, such as research: ‘The speaker had certainly done his homework before delivering the lecture.’
Housework = all the work that have to be done regularly to keep a house or flat clean and tidy; the work of cleaning and running a house: ‘She is always busy in housework.’
