Standard units and compound measures

1 day and 14 hours 2 days and 3 hours 73 hours

Calculate the mean of the three lengths of times.

Give your answer in days and hours.

The mean =_{……………........ ………} days and_{……………........ ………} hours

How many minutes are there in 1 day and 5 hours?

1 day and 5 hours =_{……........ …………………} minutes

The diagram below shows part of a measuring tape used in a long-jump competition.

The arrow indicates the distance jumped by the competitor who came second. The winning jump was 676 cm long.

What was the difference between the lengths of these jumps?

Give your answer in hours and minutes.

You must show all your working.

Answer is_{…………........ ……………} hours_{…………........ ……………} minutes.

How many minutes are there in 1 day and 5 hours?

1 day and 5 hours =_{……........ …………………} minutes

The diagram below shows part of a measuring tape used in a long-jump competition.

The arrow indicates the distance jumped by the competitor who came second. The winning jump was 676 cm long.

What was the difference between the lengths of these jumps?

Give your answer in metres.

Express 25 minutes as a percentage of 2 hours 5 minutes.

Write 27 minutes and 11 seconds in seconds.

27 minutes and 11 seconds =_{……………........ ………} seconds

Find the volume of the solid prism shown above.

The solid prism is made of gold. Gold has a density of 19∙3 g/cm³. Calculate the mass of the prism.

Give your answer in kilograms.

Find the volume of the solid prism shown above.

The solid prism is made of gold. Gold has a density of 19∙3 g/cm³. Calculate the mass of the prism.

Give your answer in kilograms.

Two time periods are measured as 4 hours 40 minutes and 2 hours 50 minutes.

Each measurement is correct to the nearest 10 minutes.

What is the least possible sum of these two time periods?

Give your answer in hours and minutes.

Answer =_........ hours_........ minutes

A car passes through four places in the following order: Aber, Berw, Ceiro and Dinas.

The car passes through Aber, Berw and Ceiro at the times shown in the table below.

The time taken to travel from Aber to Berw is twice the time taken to travel from Ceiro to Dinas.

At what time does the car pass through Dinas?

You must show all your working.

In the following formulae, each measurement of length is represented by a letter. Consider the dimensions implied by each formula. For each case, write down whether the formula could be for a length, an area, a volume or none of these.

The first one has been done for you.

7a³− abc
volume

5abc 6bc b² _........

4a²b 4b²a _........

3a 8b 2c _........

a²− abc _........

In the following formulae, each measurement of length is represented by a letter. Consider the dimensions implied by each formula. For each case, write down whether the formula could be for a length, an area, a volume or none of these.

The first one has been done for you.

7a³− abc
volume

5abc 6bc b² _........

4a²b 4b²a_........

3a 8b 2c _........

a²− abc _........

How much time has passed between 8:30 a.m. and 2:15 p.m. on the same day?

Shade of the shape below.

A car travels 129·5 miles in 3 hours 30 minutes. Calculate the average speed of the car.

Give your answer in miles per hour.

A car travels 100 miles in 2 hours and 30 minutes.

Calculate its average speed in miles per hour.

A camera was switched on at

21:45 on 20th March, 2021.

It was left continuously filming until the battery ran out.

The battery lasted for exactly 2 days and 10 hours.

At what time and on which date did the battery run out?

Battery ran out at_{……........ …}:_{……........ …} on_{……........ …} March 2021.

Helen says,

Is she correct?

You must show all your working.

A camera was switched on at

21:45 on 20th March, 2021.

It was left continuously filming until the battery ran out.

The battery lasted for exactly 2 days and 10 hours.

At what time and on which date did the battery run out?

Battery ran out at_{……........ …}:_{……........ …} on_{……........ …} March 2021.

Helen says,

Is she correct?

You must show all your working.

What is the time 8 hours and 40 minutes after 11:38?

What is the time difference between 7:35 a.m. and 2:15 p.m. on the same day?

Give your answer in hours and minutes.

Time difference is_{……........ …….} hours and_{……........ …….} minutes.

Evaluate the time difference between 7 minutes 15 seconds and 2 minutes 50 seconds.

Give your answer in seconds.

Time difference is_{……........ …….} seconds.

What is the time 8 hours and 40 minutes after 11:38?

What is the time difference between 7:35 a.m. and 2:15 p.m. on the same day?

Give your answer in hours and minutes.

Time difference is_{……........ …….} hours and_{……........ …….} minutes.

Evaluate the time difference between 7 minutes 15 seconds and 2 minutes 50 seconds.

Give your answer in seconds.

Time difference is_{……........ …….} seconds.

In the following formulae, each measurement of length is represented by a letter.

Consider the dimensions implied by the formulae. For each case, write down whether the formula could be for a length, an area, a volume or none of these.

The first one has been done for you.

3·14r² − dw
area

w³ + r²d_{………........ …………..}

3w + 2d + h_{………........ …………..}

dhr + 5d³_{………........ …………..}

4d + πr²_{………........ …………..}

A solid object is made by drilling a cylindrical hole of radius 4 cm through a cuboid measuring

20 cm by 15 cm by 10 cm as shown below.

Calculate the volume of the object.

Give your answer in cm³.

The object is made from a material which has a density of 2·4 g/cm³. Calculate the mass of the object.

Give your answer in kg, correct to the nearest kg.

Circle either TRUE or FALSE for each statement given below.

Circle the longest time period from the list given below.

180 minutes 4·5 hours 4 hours 45 minutes 4 hours th of a day

Circle the longest distance from the list given below.

30 000 mm 250 m 2 km 70 m 4 000 cm 2·4 km

Circle either TRUE or FALSE for each statement given below.

Which metric unit is best used to measure the distance from Cardiff to Manchester?

Circle the correct answer.

millimetres kilometres metres litres centimetres

Which metric unit is best used to measure the mass of a person?

Circle the correct answer.

kilograms grams tonnes kilometres milligrams

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

A journey takes 2 hours 35 minutes. The journey finishes at 7 p.m.

At what time did it begin? Write your answer in 24-hour clock time.

You must show all your working.

Calculate the mean of these four time periods.

You must give your answer in hours and minutes.

5 hours 20 minutes 2 hours 44 minutes 6 hours 18 minutes 4 hours 34 minutes

Mean time =_{……........ ….} hours_{……........ ….} minutes

Calculate the mean of these four time periods.

You must give your answer in hours and minutes.

5 hours 20 minutes 2 hours 44 minutes 6 hours 18 minutes 4 hours 34 minutes

Mean time =_{……........ ….} hours_{……........ ….} minutes

What is the difference between the following times?

‘07:30 on 1st November 2017’ and ‘13:20 on 3rd November 2017’

Give your answer in days, hours and minutes.

_........ days_........ hours_........ minutes

Divide 16 hours 20 minutes by 5.

Give your answer in hours and minutes.

A triangular prism of length 2 metres is shown below.

AC = 21 cm, BC = 35 cm and BAC = 90°.

In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing. Calculate the area of triangle ABC. Give your answer in cm².

You must show all your working.

Calculate the volume of the prism.

You must give the units of your answer.