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Students investigate energy transfer by colliding marbles, explaining their observations, and what happens to the energy of the moving marble on impact.

Students carry out calculations involving addition, and multiplication of whole numbers by decimal numbers.

For this practical task students determine the viscosity of different household susbstances such as golden syrup, cooking oil, fruit juice etc. Students complete the experiment and construct a chart showing their results and observations.

Students show, interpret, and do calculations on times in both analogue and digital forms.

Students complete a table showing the number of rungs for different sized ladders. They complete a sentence stating the rule to calculate the number of rungs given the length, and use the rule to identify if a ladder, at a lean, will reach a given height and show their working.

Students select the answer for two subtraction problems, select which one they thought was easier, and explain their reasons for this.

Students solve problems involving rates of pay based on a formula using powers, and compare this to a fixed rate of pay.

Students identify fractions that are greater than a half and explain their reasoning. They also identify how far from half some fractions are and name a fraction closer to half than one given.

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

For this NEMP task students perform a range of practical measuring tasks including calculations involving time and selection of appropriate units of measuring.

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 interpret bi-variate data on a bar graph to answer questions about social media and age of users.

Students are required to construct a composite bar graph based on Statistics New Zealand Time Use Survey data and are then required to make comparative statements based on gender.

Students show how they find the value of an unknown number in a range of linear equations.

Students show how to solve a series of algebraic expressions by substituting given numbers.

Task: Predict which of three balls dropped from different heights will squash most, explain why, and design an investigation to test prediction. Assessment focus: acceleration and fair testing.

Students show how to work out the number of 1-digit that there are in 2-digit numbers.

Students show fractions on a number line and on the side of a milk bottle.

In this practical task students order proper fractions on a number line between 0 and 1.

Students answer maths problems involving multiplication and show their strategies.

Students predict whether two dice games are fair and give their reasons. They then play each game (investigate) fifty times and explain their results.

Students show or explain how two different fraction numbers can represent the same fraction.

This comprehension task assesses student ability to find the main idea of a transactional text about a Māori naturalist/scientist. Students are asked to read a text, identify the main idea from three choices provided, and then justify why they think their choice is right.

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

In this practical task, students are to estimate the cost of meals ordered from a menu. The teacher reads out the meals and students show the steps in their estimations.