Seventh grade math tests are expected to cover competency in ratios, advanced number concepts, expressions, geometry and statistics. Many of these concepts are further advancements on established learning from sixth grade and set a foundation for moving forward to the eighth grade.
Ratios include concepts such as proportion and percentage, with real-world applications such as calculating sales tax and discounts. Numbering concepts continue from earlier grades to further the student's understanding of fractions and decimals, with the introduction of more advanced numbers such as repeating decimals. The central goal for numbering at this level is to give the student a unified concept of the number system.
Work is continued in the seventh grade building problem-solving skills when addressing word problems. Students solve word problems in both customary and metric calculations as well as solving problems using factors including distance, rate and time. Geometry topics include calculating the circumference and surface of circles as well as calculating surface, area and volume of simple two-dimensional and three-dimensional objects such as cubes, triangles, quadrilaterals and polygons. Statistics at this level covers concepts such as probability and inference from sampling data. Real world scenarios are explored for uses of mathematical probability, including random sampling and inferring probable patterns and outcomes based on such data.