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Students outline four ways of improving a given plan for an investigation to make it a fair test.

Information on particle size and boiling point is provided for three alcohols. Students use this to place these substances in order of particle size and increasing boiling point.

Students compute how much each of two people get when given amounts are divided according to given ratios in a variety of contexts.

Students use diagrams of rock layers to answer questions concerning geological history, oldest layer, and to account for the presence of fossils.

Students find a missing number using clues about what remainder there is when the number is divided by given numbers.

Students calculate the weight for different numbers of soccer balls and calculate the weight for a given number of soccer balls.

Students calculate the shapes with the largest and smallest perimeter and identify a relationship between the features of a shape and the perimeter.

Students calculate the volume and surface area of a cuboid box.

Students identify in which order candles will go out and explain their answer. Assessment focus: the role of oxygen in combustion.

Students explain why most of a saucepan is made of metal but has a handle made of wood.

Students identify the correct denominator as numerator to create equivalent fractions for a range of given fractions. Optional space for diagrams is provided.

Students calculate the number of containers needed for given amounts of fruit for a recipe.

Students calculate addition and subtraction problems, written in decimal form, for city populations.

Students calculate the cost of several cans of soft drinks, the maximum number bought for a given cost, and the change given after buying several cans.

Students use addition and subtraction to calculate temperatures over periods of time.

Students use multiplication and division to work out the number of boxes of cherries picked, and cartons filled.

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

Students calculate the number of free gifts distributed at a Tennis Championship given the number of people entering and the frequency of the gifts given away.

Students answer four multiple choice questions identifying which three-digit number can be divided by a one-digit number to get a given remainder.

Students select which four-digit numbers can be divided by a one-digit number without a remainder.

Students calculate the area of an extension to a cottage and the area around the buildings.

Students calculate the perimeter and area of three composite shapes.

Students calculate the perimeter and area of a composite shape.

Students calculate the perimeter of a range of 2-dimensional shapes.

Students evaluate a fair test about whether salt or sugar solution dissolves faster.