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Students partition sets of objects and show how to work out fractions of quantities (using fractions as operators).

Students show how to partition shapes into a given number of equal parts and identify the fraction of each part.

Students break amounts into a number of equal sized groups.

Students work out the cost of items of clothing both before and after GST has been added to them.

Students use given ratios to determine the number of people performing kapa haka.

Task: calculate answer to questions about speed, distance, and time. Assessment focus: using a formula.

Students calculate an exact square root and estimate approximate square roots by finding the length of the square flower bed of a given area, and give an explanation for their answers.

Students share out sets of counters into equal-sized groups.

Students use percentages to calculate heights of a building from the total height. They then explain how to calculate another percentage.

Students identify square and cubic numbers mentally in a timed test.

Students calculate percentage increases and decreases for odd jobs and show their working.

Students match given fractions to images of milk bottles to show how full each bottle is.

Students compare fractions, identify which is larger, and explain or show their reasoning.

Students use cuisenaire rods to work out part-whole fraction problems.

Students identify and give rules for when numbers are divisible by three or by nine.

Students answer questions involving adding and subtracting fractions of food.

Students complete division equations by selecting from given numbers.

Students complete division equations by selecting from given numbers.

Students explain errors in calculations that include all operations, decimal values, and percentages.

Students calculate the number of 2cm blocks fit into a given 3-dimensional block model, and answer questions about one face, and volume of the block model.

Students answer four multiple-choice questions about volume and surface area.

Students calculate the numbers of pieces of fruit and vegetables divided evenly into bags, and any remainder.

Students use a diagram of a netball court and soccer field to calculate area.

Students work out how many triangular prism shapes there are in larger cuboid, and answer questions about volume of both shapes.

Students answer questions that involve calculating the capacities of different situations.