Converting between units

Jenny walks

• 400 metres to the shop

• 250 metres to the park

• 380 metres home.

Show that Jenny walks more than 1 kilometre.

Convert 1400 grams to kilograms.

Convert 32 kilometres to miles. Use 8 kilometres = 5 miles

The table shows information about two workers on one day.

Margot started work at 10:30 am What time did she finish?

Zeke says he spent more than one quarter of his total working time online.

Is he correct?

Tick a box.

Show working to support your answer.

Here is a scale diagram showing towns A, B and C on a centimetre grid.

Work out the actual distance from B to C. Give your answer in kilometres.

B is South East of A.

Write down the bearing of B from A.

Convert 8.25 pounds into kilograms. Use 2.2 pounds = 1 kilogram

Here is a scale diagram showing towns A, B and C on a centimetre grid.

Work out the actual distance from B to C. Give your answer in kilometres.

B is South East of A.

Write down the bearing of B from A.

Write 2 weeks as a fraction of 8 days. Give your answer in its simplest form.

Write 56 centimetres: 2.73 metres as a ratio in the form 1: n

7

Write A as a fraction of B.

2 1 pound = 16 ounces

Work out the number of ounces in 3 pounds.

A car travels 4 miles in 5 minutes.

Work out the average speed in miles per hour.

A map has a scale of 1: 4000 On the map, the distance from a station to a museum is 7 cm

Is the actual distance from the station to the museum more than 300 m? Tick a box.

Show working to support your answer.

Some oil has a mass of 537 g

1 m³ = 1000 litres

Work out the volume of the oil. Give your answer in litres.

A map has a scale of 1: 4000 On the map, the distance from a station to a museum is 7 cm

Is the actual distance from the station to the museum more than 300 m? Tick a box.

Show working to support your answer.

A phone screen is similar to a tablet screen.

The area of the screen is 420 cm² A screen costs £7000 per square metre.

Work out the cost of a screen for the phone.

Complete the statement.

2 metres = centimetres

Complete the statement.

8 kilograms = grams

Convert 24 kilometres to miles. Use 8 kilometres = 5 miles

A map has a scale of 1: 20 000 Two churches are 15 cm apart on the map.

Work out the actual distance between them. Give your answer in kilometres.

Concrete from a truck is poured at 10.9 kg per second for 30 minutes.

Is more than 20 tonnes of concrete poured? Tick a box.

You must show your working.

On Monday, Larrs swims 50 metres in 40 seconds at a constant speed. On Tuesday, Larrs swims 1.5 kilometres.

Assume he swims at the same constant speed as on Monday.

How many minutes does he swim for on Tuesday?

In fact, on Tuesday Larrs swims at a slower constant speed than on Monday.

What does this mean about the number of minutes he swims for on Tuesday? Tick the correct box.

Town A has a population of 84 000 an area of 7 square miles.

Town B has a population density of 4695 people per square kilometre.

Which town has the greater population density?

Use 1 square mile = 2.6 square kilometres Tick a box.

Show working to support your answer.

On Monday, Larrs swims 50 metres in 40 seconds at a constant speed. On Tuesday, Larrs swims 1.5 kilometres.

Assume he swims at the same constant speed as on Monday.

How many minutes does he swim for on Tuesday?

In fact, on Tuesday Larrs swims at a slower constant speed than on Monday.

What does this mean about the number of minutes he swims for on Tuesday? Tick the correct box.

Town A has a population of 84 000 an area of 7 square miles.

Town B has a population density of 4695 people per square kilometre.

Which town has the greater population density?

Use 1 square mile = 2.6 square kilometres Tick a box.

Show working to support your answer.

Ollie and Rachel run a marathon race.

Ollie starts the race at 9.15 am He takes 3 hours to finish the race.

At what time does he finish?

Rachel has a target time of 4 hours 10 minutes. She has been running for 186 minutes.

To meet her target, how many minutes does she have left to finish the race?

Convert 800 centimetres to metres.

Zoe’s mass is 55 kilograms.

Work out her mass in stones and pounds. Use 1 kilogram = 2.2 pounds 14 pounds = 1 stone

Convert 7 gallons to litres. Use 1 gallon = 4.5 litres

Liz travels 18 miles in 20 minutes. Work out her average speed in miles per hour.

The cost of a TV streaming service is £6 per month for the first 4 months then £11 per month for the rest of the year. Work out the total cost for the year.

A TV series has ten episodes. Nine episodes are each 50 minutes long. One episode is 1 hour 42 minutes long. Work out the total length of the series. Give your answer in hours and minutes.

A factory packs x boxes of teabags per hour. Each box contains 80 teabags. Show that the factory packs teabags per minute.

A factory packs x boxes of teabags per hour. Each box contains 80 teabags. Show that the factory packs teabags per minute.

A reel holds 9.5 metres of ribbon. 2 pieces of ribbon are cut from the reel. Each piece is 20 centimetres long. What length of ribbon is left on the reel? State the units of your answer.

Three oranges have masses of 60 g, 70 g and 85 g Show that their total mass is between and of a kilogram.

A map has a scale of 1: 5000 How many metres are represented by a length of 4.5 cm on the map?

A, B and C are connected by paths. The length of each path is shown.

Nathan and Sue each walk from A to B. Nathan walks along the path A → B Sue walks along the paths A → C → B How much further does Sue walk than Nathan? Give your answer in kilometres.

A straight path between D and E passes through P. DE = 200 metres

Work out the ratio DP: PE Give your answer in its simplest form.

Circle the correct statement.

Jamil is on holiday in France.

The cost of a room in a hostel is 27 euros. Convert the cost to £ Use £1 = 1.2 euros

Jamil rides a motorbike. The motorbike uses one litre of petrol for every 14 miles. How many litres of petrol does the motorbike use to go 168 kilometres? Use 8 kilometres = 5 miles

A solid statue has volume 512 cm³ The statue has mass 3.6 kilograms.

density of iron = 7.87 grams per cubic centimetre

Is the statue made of iron? You must show your working.

How many hours are there in 5 days? Circle your answer.

35 120 150 300

What is 260 millimetres in centimetres? Circle your answer.

0.26 cm 2.6 cm 26 cm 2600 cm

A square has an area of 0.25 square metres. Circle the length, in centimetres, of one side of the square.

0.5 cm 5 cm 50 cm 500 cm

Here is a formula.

Draw the graph of y = 3.6 x for values of x from 0 to 20

In the formula y = 3.6 x y is speed in kilometres per hour (km/h) x is speed in metres per second (m/s)

Convert 50 km/h to m/s Give your answer to the nearest whole number.

Convert 30 m/s to miles per hour. Use 1 mile per hour = 1.61 km/h

miles per hour

How many millimetres are there in a kilometre? Circle your answer.

Convert 2 kilograms into grams.

Circle your answer.

25 grams 250 grams 2500 grams 25 000 grams

At a school there are six lessons in a day. In total, the six lessons last for five hours.

Assume that each lesson lasts the same amount of time. How many minutes long is the final lesson?

In fact, the first lesson of the day lasts longer than the other lessons. The other lessons last the same amount of time. What does this tell you about the length of the final lesson? Tick one box.

A bottle contains 1.5 litres of water. 650 millilitres of the water is poured into a jug. How much water is left in the bottle? State the units of your answer.

How many millimetres are equal to 3.27 metres? Circle your answer.

32.7 327 3270 32 700

In this question use 1 cubic foot = 6.23 gallons 1 cubic foot = 0.028 cubic metres

Convert 3115 gallons into cubic metres.

Lena is at the gym.

She will use each of these pieces of equipment once. Rowing machine (R) Stepper (S) Treadmill (T) Bike (B) Lena will use the rowing machine first. List all the possible orders in which she could use the four pieces of equipment.

The table shows how long Lena spends on each piece of equipment.

Lena starts on the rowing machine at 1.50 pm She has a break for 4 minutes between pieces of equipment. What time does she finish on her last piece of equipment?

Here is a list of ingredients needed to make 6 pancakes.

Complete the list of ingredients needed to make 9 pancakes.

Convert 210 millilitres to fluid ounces. Use 1 fluid ounce = 28.4 millilitres Give your answer to 1 decimal place.

Add 8 mm to 7 cm Circle your answer.

150 mm 1.5 cm 7.8 cm 708 mm

How many minutes is 225 seconds? Circle your answer.

The time in Rio is three hours behind London. The time in New York is five hours behind London. What is the time in New York when it is 1.00 am in Rio?

Circle the volume that is the same as 15 cm³

In this question, use 1 foot = 12 inches 1 inch = 2.5 centimetres Change 5 feet 8 inches to centimetres.

How many minutes are there in 5 hours? Circle your answer.

315 325 515 525

Circle the shortest length.

1200 cm 0.13 km 110 m 140 000 mm

How many millimetres are there in 7.5 centimetres? Circle your answer.

0.75 70.5 75 750 7500

How many minutes are there in 2 hours? Circle your answer.

135 145 215 225

Rearrange v = u + at to make t the subject of the formula.

Complete this table with consistent metric units.

Rearrange v = u + at to make t the subject of the formula.

Complete this table with consistent metric units.

How many minutes are there in 3 hours? Circle your answer. 180.5 210 330 350

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The mass of solid A is 6 times the mass of solid B. The volume of solid A is 3 times the volume of solid B. Complete the sentence.

If the distance is halved and the time is doubled, what happens to the average speed? Circle your answer.

In this question, use 1 kilogram = 2.2 pounds 1 stone = 14 pounds Change 70 kilograms into stones.