Maths In Motion Flashcards
What are the units of distance?
Distance is measured in millimetres (mm) centimetres (cm) metres (m) and kilometres (km)
What is converting between units of distance?
• 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
What are the units of time?
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
What is converting between hours, minutes and seconds?
• 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
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
(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
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
(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
What is a rate of change?
A rate of change is a relationship between two quantities
What is speed
Speed is the distance travelled per unit time
How do you calculate the average speed
Distance travelled divide time taken
What is the sum for speed
Distance divide time
What is the calculation for time
Distance divide speed
What is the sun for distance
Speedxtime
What is a ratio?
A ratio is a way of comparing numbers
Alex runs a 400m race in a time of 50 seconds. What is his average speed?
Speed= distance divide time = 400 mins divide 50 seconds= 8m/s
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?
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
Jane runs at an average speed of 4 metres per second. How long will it take her to run 3000metre race at this pace?
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
Use the ratio method to calculate the speed of a journey of 45km if it takes one and a half hours to complete
Distance:time
45:1hr 30 mins
45km:1.5 hours
30km:1 hours
Speed= 30km/h
Speed= 30km/h
Find the time taken to complete a journey of 200m at a speed of 40m
Distance:time
40m:1secondx5
200m:5 second
Tjme= 5 seconds
