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Speed Skills
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This is level 4: Mixed questions. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

You must include the correct units with your answer. For example "25km/h"

1

A family drives from Lakeside to Seaview. The maps app shows 144 miles. They stop for 25 minutes at a services and the total time from leaving to arriving is 3 hours 25 minutes. What was their average driving speed?

Phone

Ignore the stop when calculating the speed.

Speed = Distance ÷ Time

☐ ☐ ✓ ✗

2

A charity fun run is 9km long. Mia runs the first 3km at 9km/h, then slows to 6km/h for the rest. She also stops for a drink for 4 minutes (not included in running time). How long does she spend running?

☐ ☐ ✓ ✗

3

A delivery driver has 3 parcels in the van and a full tank. The warehouse is 18km away. The driver averages 36km/h on the way there and 54km/h on the way back because the roads are quieter. What is the total time spent driving for the round trip?

☐ ☐ ✓ ✗

4

A school minibus sets off at 07:40. The journey is 84 miles. It travels for 1 hour at an average of 56mph, then gets stuck in slow traffic for 30 minutes at an average of 28mph, then continues at 56mph until it arrives. What time does it arrive?

☐ ☐ ✓ ✗

5

A small drone records video for a science project. It flies in a straight line at 12m/s for 40 seconds, then returns at 10m/s. Ignoring turning time, how long does the return journey take?

☐ ☐ ✓ ✗

6

A canal boat travels 30km. For the first 2 hours it moves at 9km/h. It then increases to 6km/h faster than before for the rest of the journey. How long does the whole journey take?

☐ ☐ ✓ ✗

7

A rollercoaster track is 1,260 metres from beginning to end. The ride takes 2 minutes 30 seconds, including 24 seconds waiting at a safety check (not moving). What is the average speed while it is actually moving?

☐ ☐ ✓ ✗

8

A coach trip is advertised as 'about 3 hours'. The coach actually travels 156km. For the first 1 hour 15 minutes it averages 72km/h. For the rest of the journey it averages 60km/h. How long does the whole journey take?

☐ ☐ ✓ ✗

9

A runner does interval training on a straight path. They run 600m at 8m/s, then walk 300m at 2m/s, then run another 600m at 8m/s. What is their average speed for the whole session (including walking time)?

☐ ☐ ✓ ✗

10

A ferry crosses a lake and back. It travels 12km each way. On the outward journey it averages 24km/h because of a headwind. On the return journey it averages 30km/h. How long does the whole trip take?

☐ ☐ ✓ ✗

11

An express train travels through a mountainous area. It travels 45 km/h slower uphill than it does downhill. It spends twice as long travelling uphill as it does travelling downhill. Over the whole journey, it records an average speed of 90 km/h. How far does it travel in 1 hour 42 minutes?

☐ ☐ ✓ ✗

12

At the start of a journey, the mileometer on Natasha's car reads 24532 miles. The total time for the journey was 3 hours and 18 minutes. The first 2 hours and 24 minutes Natasha drove at 80 km/h. For the remainder of the journey she drove at 50 km/h. Find the mileometer reading at the end of the journey?

☐ ☐ ✓ ✗

Check

Can you correct your mistakes in order to get full marks?

This is Speed Skills level 4. You can also try:
Level 1 Level 2 Level 3

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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Description of Levels

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Compound Units - Practise using compound units such as speed, unit pricing and density to solve problems.

Level 1 - Find speed given distance and time (basic calculations)

Level 2 - Finding time taken with some mixed units

Level 3 - Finding distance travelled with some mixed units

Level 4 - Mixed questions

Speed-time graphs - Test your understanding of distance-time and speed-time graphs with this self-marking exercise.

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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The formulas

Units

Below are several reasonable ways to write each speed. The ones shown in bold are the unit formats accepted as correct answers in this exercise.

6 miles per hour

Sometimes seen, but could be confused so use with care:

30 kilometres per hour

11 centimetres per second

3 kilometres per minute

Quick notes:

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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