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Students explain the variables in a linear equation involving speed and distance. They then solve the equation by substitution.

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.

Students write and solve equations for story problems describing practical situations.

Students solve different forms of addition equations.

Students perform decimal multiplication and division involving the cost of material, without the use of a calculator.

Students answer questions involving adding and subtracting fractions of food.

Students exploit additive identity property to find missing numbers in addition and subtraction equations.

Students complete open number sentences to show their understanding of equality.

Students explore multiplicative relationships by completing multiplication equations using a restricted range of numbers.

This task requires students to show how to calculate multiplication problems with multi-digit numbers.

Students enlarge a shape made of cubes and explore the relationship between the scale factor and volume.

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

Students find the biggest and smallest numbers from a list of positive and negative numbers. They add, subtract and multiply using these numbers.

Different selections are made from a canteen menu that will cost a given amount. An extension activity is given that asks for all possible combinations to be found.

Students use addition and subtraction to calculate the changing balance in a students back account.

Students work out the missing dimension on a rectangle and show how they obtained it using proportional reasoning.

Students find the sum of a number of given decimal weights of objects or the post.

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 draw in the correct number of blocks needed to balance some scales and write equations for scales that show balance.

Students identify fractions that are greater than a half, explain their reasoning, and identify how far from half some fractions are.

Students identify fractions that are greater than one, explain their reasoning and identify how far from one some fractions are.

For this NEMP task students calculate ratios, fractions, and percentages of numbers to solve problems involving numbers of blue and yellow bears. A sheet of coloured bears is provided.

Students use linear equations to help them solve word problems about the cost of computer repairs.

Students add the numbers shown on three dice.

Students use the picture cards provided to explore and list all the possible combinations of race cars at a starting line.