Recent international studies have highlighted the success of students from Hong Kong in mathematics and problem-solving, and have begun to suggest some of the factors associated with this success. Other studies have suggested that Hong Kong students are averse to risk-taking, favouring memorisation and imitation in their solution strategies. Year 5 students in Hong Kong and Australia were given mathematics assessments of different types: orally presented mental computation problems, and a performance task that was undertaken in normal classroom conditions. Observations of the students' approaches to these tasks in the classroom and analyses of their responses revealed similarities and differences between the two countries. The implications of these findings are discussed in light of the curriculum diversity and differences in metacognitive skills.