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This quasi-experimental research examines the abilities of mathematical problem solving and mathematical connections through the application of Accelerated Learning Cycle. The samples of research were 63 students of seventh grade students in Riau Province, which were divided into an experimental group and a control group. The research instruments were mathematical problem solving and mathematical connection abilities test, and the data were analyzed using Mann-Whitney and two ways ANOVA test. The results of this study indicate that there was a significant effect of Accelerated Learning Cycle on the overall students’ mathematical problem solving and connection skills (p = 0,000; p <0.050) and in all categories of KAM, except both of two categories on mathematical connections ability, high (p = 0.349; p <0.050) and middle (p = 0.100; p <0.050), did not significantly differ. In the problem solving and mathematical connections abilities of students, there was no difference between the categories of KAM and there was no interaction betw een learning and mathematical ability.