Maths In Motion

Question 1

What are the units of distance?

Answer 1

Distance is measured in millimetres (mm) centimetres (cm) metres (m) and kilometres (km)

Question 2

What is converting between units of distance?

Answer 2

• To convert distance (lengths) from a larger unit into a small unit, multiply by the relevant power of 10
• To covert distance (lengths) from a smaller unit into a larger unit divide by the relevant power of 10

Question 3

What are the units of time?

Answer 3

Time is measured in seconds (S) minutes (min) and hours (hr). These units of time are related as follows
60s= 1 min
60 min= 1 hr
24hr= 1 day
7 days= 1 week

Question 4

What is converting between hours, minutes and seconds?

Answer 4

• To covert time from a larger unit into a smaller unit multiply by 60
• To convert time from a smaller unit into a larger unit divide by 60

Question 5

Covert the following times jn the 12 hour clock to times in the 24 hour clock
(I) 2.12 am
(Ii) 8.36pm
(III) 12.15pm

Answer 5

(I) 2.12 am
This is before moon so we remove the “am” and add 0
2.12am= 02:12
(II) 8:36pm
This is afternoon so we remove the pm and add a 12 to the hour part
8:36 pm = 20:36
(III) 12:15pm
This is afternoon so we remove the pm
12:15pm = 12.15

Question 6

Convert the following times in the 24-hour clock to times in the 12-hour clock
(I) 14:36
(II) 2.45
(III) 23:56

Answer 6

(I) 14:36
This is after noon so we subtract 12 and add on 14:36= 2.36pm
(II) 2.45pm
This is before noon so we remove the 0 and add “am”
02:45=2:45am
(iII) 23:56
This is afternoon so we subtract 12 and add “pm”
23:56= 11:56pm

Question 7

What is a rate of change?

Answer 7

A rate of change is a relationship between two quantities

Question 8

What is speed

Answer 8

Speed is the distance travelled per unit time

Question 9

How do you calculate the average speed

Answer 9

Distance travelled divide time taken

Question 10

What is the sum for speed

Answer 10

Distance divide time

Question 11

What is the calculation for time

Answer 11

Distance divide speed

Question 12

What is the sun for distance

Answer 12

Speedxtime

Question 13

What is a ratio?

Answer 13

A ratio is a way of comparing numbers

Question 14

Alex runs a 400m race in a time of 50 seconds. What is his average speed?

Answer 14

Speed= distance divide time = 400 mins divide 50 seconds= 8m/s

Question 15

Claire took a part in a cross country race and completed the course in 1 hour and 12 minutes her average speed for the race was 17.5 km per hour. What was the distance that she ran?

Answer 15

Firstly convert the minutes into hours;
12 divided by 60= 0.2 hours
Time= 1.2hr speed= 17.5km/hr
Distance= speedxtime
= 17.5 x 1.2
=21km

Question 16

Jane runs at an average speed of 4 metres per second. How long will it take her to run 3000metre race at this pace?

Answer 16

Speed= 4m/s and distance = 3000m
Time= distance divide speed
Time= 3000 divide four= 750 seconds
Convert 750 seconds into minutes and second
750 divided 60= 12.5 minutes
= 12 minutes and 30 seconds

Question 17

Use the ratio method to calculate the speed of a journey of 45km if it takes one and a half hours to complete

Answer 17

Distance:time
45:1hr 30 mins
45km:1.5 hours
30km:1 hours
Speed= 30km/h
Speed= 30km/h

Question 18

Find the time taken to complete a journey of 200m at a speed of 40m

Answer 18

Distance:time
40m:1secondx5
200m:5 second
Tjme= 5 seconds