Converting between units

Change a speed of 50 x metres per second to a speed in kilometres per hour.

Change 5000 millilitres into litres.

Find the difference between a length of 3 metres and a length of 85 centimetres. Give your answer in centimetres.

Roy has 2 litres of orange juice in a jug and some empty cups. He pours orange juice from the jug to completely fill as many cups as possible. He pours 180 millilitres of orange juice into each cup.

Work out how much orange juice Roy has left in the jug after he has completely filled as many cups as possible. Give your answer in millilitres.

The diagram shows a cylinder.

The radius of the cylinder is 70 cm The height of the cylinder is 18 cm

Work out the volume of the cylinder. Give your answer in litres correct to the nearest litre.

Here is a polygon.

Write down the mathematical name of this polygon.

Write down the number marked with the arrow.

Here are four clock faces.

Write down the letter of the clock face that shows quarter to five.

Complete the following sentence by writing a suitable metric unit on the dotted line.

The height of the Eiffel Tower is 300_........

Mina has 5 litres of water in a bottle and some empty cups. She fills as many cups as possible with water from the bottle. She fills each cup with 280 millilitres of water.

Work out how many cups Mina completely fills.

Barney went for 4 walks on Tuesday.

The lengths of the walks were

800 metres 2 kilometres 1.7 kilometres x metres

The total length of the 4 walks was 6250 metres.

Work out the value of x

Change a speed of 27 kilometres per hour to a speed in metres per second.

Luca has 5 kg of chopped tomatoes. He also has some empty tins.

When full, each tin holds 350 g of chopped tomatoes.

Luca fills as many tins as possible with the chopped tomatoes.

Work out the weight of the chopped tomatoes remaining after Luca has filled as many tins as possible. Give the units of your answer.

Tom puts boxes into a shipping container.

The container is a cuboid 10 metres by 2.4 metres by 2.4 metres. Each box is a cube of side 40 centimetres.

Work out the greatest number of these boxes that Tom can put into the container.

Write down the mathematical name for an 8-sided polygon.

What type of angle is the angle marked x?

On the diagram above, draw a chord of the circle.

Change 3.6 metres into centimetres.

Change a speed of 90 kilometres per hour to a speed in metres per second. Show your working clearly.

Here is a polygon.

Write down the mathematical name of this polygon.

Here is a scale.

On the scale, mark with an arrow (↑) the number 360

Here is a clock face.

Write down the time shown on the clock face.

Complete the following sentence by writing a suitable metric unit on the dotted line.

Brigid recorded the distance she ran on each of three days.

The table shows her results.

Brigid set herself the target of running a total of at least 30 km on these three days.

Show that Brigid did not achieve her target.

Change 6 metres into centimetres.

Change 4500 grams into kilograms.

Lauren has 3 litres of fruit juice. She is going to use the fruit juice to make some drinks for a party. Each cup of drink will contain 225 millilitres of fruit juice.

Lauren is going to make as many cups of drink as possible.

Work out how much fruit juice Lauren has left when she has made as many cups of drink as possible. Give your answer in millilitres.

Mairi has a 2 metre length of string. She cuts from the string as many lengths of 35 centimetres as possible.

Work out the length of string that she has left. Give your answer in centimetres.

Nav makes bracelets using cord.

Nav has a 6 metre length of cord. Each bracelet needs 17.5 cm of cord.

Work out the greatest number of bracelets that Nav can make.

The diagram shows a cuboid and a cylinder.

The dimensions of the cuboid are xcm by 12 cm by 5 cm. The volume of the cuboid is 270 cm³

The radius of the cylinder is xcm. The height of the cylinder is 2 x cm.

Work out the volume of the cylinder. Give your answer correct to the nearest whole number.

Change 1 m³ to cm³

The diagram shows a cuboid and a cylinder.

The dimensions of the cuboid are xcm by 12 cm by 5 cm. The volume of the cuboid is 270 cm³

The radius of the cylinder is xcm. The height of the cylinder is 2 x cm.

Work out the volume of the cylinder. Give your answer correct to the nearest whole number.

Change 1 m³ to cm³

Paolo has a bag of flour. The flour in the bag has a weight of 3 kilograms.

Paolo makes 8 pies using the flour in the bag.

3 of the pies each need 150 grams of the flour. 5 of the pies each need 180 grams of the flour.

Work out the weight of flour that remains in the bag when Paolo has made these pies. Give your answer in grams.

Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds.

For the toy cars made each day, the probability of a toy car being faulty is 0.002

Work out an estimate of the number of faulty toy cars that are made each day.

Change 3 litres into millilitres.

Change 6500 grams into kilograms.

Complete the following sentences by writing a sensible metric unit on each of the dotted lines.

The distance from Cairo to Nairobi is 5211_........

The weight of an egg is 20_........

The area of the floor of a classroom is 260_........

Cara has a bottle of juice. There is 1 litre of juice in the bottle.

Cara makes some drinks. She uses exactly 30 millilitres of this juice to make each drink.

Cara makes as many drinks as possible.

How many drinks does Cara make?

Pablo made a solid gold statue.

He melted down some gold blocks and used the gold to make the statue. Each block of gold was a cuboid, as shown below.

The mass of the statue is 5.73 kg. The density of gold is 19.32 g/cm³

Work out the least number of gold blocks Pablo melted down in order to make the statue. Show your working clearly.

Iona buys a box of cereal.

The cereal in the box weighs 0.75 kg. Each helping of the cereal eaten by Iona has a weight of 40 g.

Write 40 g as a fraction of 0.75 kg. Give your answer in its simplest form.

The cereal in the box contains 6.8 g of protein for each 100 g of cereal.

Work out the amount of protein in each of Iona’s helpings of cereal.

3 g of every 40 g helping of cereal is fat.

Write 3 g as a percentage of 40 g.

Complete the following statements by writing a number on each dotted line.

A pentagon has_........ sides.

The size of each angle in an equilateral triangle is_........ °

1 kilometre =_........ metres.

The diagram shows a cylinder.

The cylinder has radius 8.2 cm and height 10 cm. The cylinder is empty.

Pam pours 1.5 litres of water into the cylinder.

Work out the depth of the water in the cylinder. Give your answer correct to 1 decimal place.

Change a speed of x kilometres per hour into a speed in metres per second. Simplify your answer.

Change 650 centimetres into metres.

Change 8 litres into millilitres.

Memona has a 6 kg sack of rice and some empty bags. She fills each bag with 475 grams of rice from the sack.

How many bags can Memona completely fill with rice?

Here is an empty pool in the shape of a cuboid.

The width of the pool is 3 m. The length of the pool is 12 m. The top of the pool is 2.5 m above the base of the pool.

Jeb is going to put water in the pool. The level of the surface of the water will be 60 cm below the top of the pool.

Water flows into the pool at 400 litres per minute. 1 m³ = 1000 litres

How long will it take to fill the pool to 60 cm below the top of the pool? Give your answer in hours and minutes.

Behnaz makes candles.

She has 6.3 kilograms of wax and uses it all to make candles. Each candle Behnaz makes uses 210 grams of wax. Behnaz sells of the candles for $13 each. She then reduces this price by 20% and sells the rest of the candles.

Work out the total amount of money Behnaz gets by selling all the candles she made.

Behnaz makes candles.

She has 6.3 kilograms of wax and uses it all to make candles. Each candle Behnaz makes uses 210 grams of wax. Behnaz sells of the candles for $13 each. She then reduces this price by 20% and sells the rest of the candles.

Work out the total amount of money Behnaz gets by selling all the candles she made.