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For this NEMP task students use a grid map of an island to locate positions and describe ways to move from one position to another.

The context for this task is a grid-referenced map of historical sites. Students locate items at three grid references then write the grid references for all the castles on the map.

Students identify the correct resultant vector of two component vectors, and also identify the correct diagram of a vector that is written in column form.

Students identify grid references on a movie theatre seating plan.

Students use grid references to locate places on a map of Auckland and give grid references of specified places.

In this practical task students design a net for a lidded cardboard cube to hold a tennis ball. They then cut out and construct the cube.

In this practical task students design a net for a lidded cardboard box to hold 3 "chocolate bars" represented by hundreds blocks. They then cut out and construct the box.

Students identify points on a circular grid using references that give distance and direction (expressed in clock bearings).

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.

Students solve mathematical problems involving distance, and identify parts of an algebraic expression.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.

Students calculate the repair charges of two different garages, graph them, and explain the results.

Students identify different shapes from clues about their properties and then create their own clues to share with a buddy.

Students identify positions on a grid using grid references.

Students identify towns and cities on a map using compass points.

Students write short paragraphs using geometrical terms to describe two pictures. The terms equilateral, scalene, and isosceles are to be used to describe a castle. The words circumference, diameter, and radius are to be used to describe a bicycle.

For this task students are required to record, in a table, the compass bearings of objects shown on a submarine radar screen. Distances from the submarine are also recorded.

Students draw in places onto a map following compass directions given in relation to existing landmarks.

Students identify distances and mark positions on a treasure map with a scale.

Students use a plan of the school and a scale to answer questions about length and distance of buildings and courts in the school.

Students write the bearing and distance of a number of objects on a radar screen.

Students decide what information is required to calculate an average.

Students complete a line graph to show the daily height of a lettuce plant, giving their graph a title and labelling both axes.

Students need to interpret data about travel time to school and common after-school activities and identify which statement is true from a list of given statements.

Students are asked to study a bar graph of ways to travel to school and write down five things that are wrong with the way the graph is set up.