Questions - Other
1) Why are there two different Measurement Systems ?
The Metric System started in France in 1790 to introduce an official standardised way of measuring everything which used decimals (before then everything was estimated)
The Imperial System started in England in 1824. England did not like France.
UK started to move to Metric in 1965 (but it was not compulsory) and now uses both (mostly metric although distance is still in miles)
In 1975 all countries switched to Metric (except for UK, USA, Liberia and Myanmar)
2) Can you change and convert between the two different unit systems ?
3) What are the Metric Units for the following:
A decimal system that uses multiples of 10,
Length - mm, cm (1cm = 10mm), m (1m = 100cm), km (1km = 1000m)
Area - mm2, cm2, m2, km2
Volume - mm3, cm3, m3, ml, litres (1l = 1000ml)
Mass - g, kg (1kg = 1000g), (1000kg = 1 tonne)
Speed - m/s, km/h
4) What is Length ?
The measurement of something from one end to the other end.
5) How many centimeters in a meter ?
6) How many centimeters in a kilometer ?
1km = 1000m
1m = 100cm
1km = (1000 x 100) = 100,000
7) How many millimetres in a kilometer ?
1km = 1000m
1m = 100cm
1cm = 10mm
1km = 1,000,000 = (1000 x 100 x 10)
8) How many millimetres in 3.5 centimeters ?
1cm = 10mm
3.5cm = 35mm
9) Which is longer, a mile or a kilometre ?
1 mile = 1.6 km
10) How many mm2 are there in 1cm2 ?
1cm2 = (10 x 10) = 100 mm2
11) How many cm2 are there in 1m2 ?
1m2 = (100 x 100) = 10,000 cm2
12) How many cm3 are there in 1m3
1m3 = (100 x 100 x 100) = 1,000,000 cm3
13) What is 20cm2 in mm2 ?
1cm2 = (10 x 10) = 100mm2
20cm2 = (20 x 100) = 2,000mm2
14) What is 500mm squared, converted to centimetres squared ?
(500 x 500) = 250,000 mm2
(250,000 / (10 x 10) ) = (250,000 / 100) = 2,500 cm2
15) What is 4000cm squared, converted to millimeters squared ?
(4000 x 100) = 400,000 mm2
16) What is 2200cm squared, converted to metres squared ?
(2200 / (100 x 100) ) = (2200 / 10,000) = 0.22 m2
17) What is Capacity ?
The maximum amount of liquid that something can contain.
18) How do we measure Capacity ?
The capacity of a container is how much water (or liquid) it will hold.
It is measured in millimeters (ml) or litres (l).
Not all 3D shapes or objects have capacity (eg brick)
Only hollow shapes have capacity.
19) What does Fill mean ?
The amount of something which will occupy all the space inside a 3D shape.
20) What is Mass ?
The amount of matter in an object measured in grams and kilograms.
21) What is Speed ?
Speed is a measure of how quickly an object moves from one place to another.
22) What are the Imperial Units for the following:
Length - inches, feet (12 inches), yards (3 feet), miles (1760 yards)
Area - square inches, square feet, square miles
Volume - cubic inches, cubic feet, pints, gallons (8 pint)
Mass - ounces (oz), pounds (lb, 16 ounces), stones (14 pounds) , tonnes
Speed - mph
23) What are the approximate conversions for the following:
1 inch = 2.5 cm
1 foot = 30 cm
1 foot = 12 inches (exactly)
1 yard = 3 feet (exactly)
1 mile = 1.6 km (5 miles = 8 km)
1 kg = 2.2 pounds
1 lb = 16 ounces (exactly)
1 stone = 14 lbs
1 tonne = 1000 kg
1 gallon = 8 pints (exactly)
1 litre = 1.75 pints (pints are smaller than litres)
1 gallon = 4.5 litres
24) How many centimeters is 6 feet and 5 inches ?
1 foot approx 30cm
1 inch approx 2.5cm
(60 x 30) + (5 x 2.5) = 180 + 12.5 = 192.5cm
25) How many yards in a mile ?
26) How many pints in a litre ?
27) How many kilograms in a tonne ?
28) What does Heavy mean ?
Weighing a lot, hard to lift.
When something is heavy we are talking about how much it weighs.
The opposite of heaviest is lightest.
29) What is an Average ?
It is a term used to summarise (or describe) a group of numbers.
When people say "average", they are always taking about the "mean" average and not the other 2 types of average.
30) What are the 3 different types of Average ?
Mean - Average
Median - Middle
Mode - Most
31) What is the Mean ?
Also known as Average
This is the total of the items divided by the number of items
32) There are 7 trays of sausages with a mean average of 13 sausages per tray.
One more tray is added that contains 21 sausages.
What is the mean average number of sausages on the tray now ?
33) What is the Median ?
This is the middle value when numbers are in order of size
34) What is the Mode ?
This is value that is most common
The number that occurs the most.
35) What is the mode of these numbers: 2, 4, 6, 8 ?
When all the numbers are different, there is no mode.
36) What is the Range when describing numbers ?
The difference between the largest and the smallest numbers.
37) What are the 3 primary colours ?
paper / painting - Red, Yellow, Blue
light / screen - Red, Green, Blue
38) What is a Pictogram ?
A pictogram is a chart that uses pictures to represent data.
39) What is a Chart ?
A graphical representation intended to make information easier to understand.
40) What is a Bar Chart ?
Also known as Bar Graph
These blocks are horizontally
41) What is a Column Chart ?
These block are vertical
42) What is a Line Graph ?
Also known as Line Chart
43) What is a Pie Chart ?
A type of graph where a circle is divided into sectors.
44) What is a Frequency Bar Chart ?
This is a bar chart where the height of the bar shows the frequency of each item.
45) What is a Frequency Table ?
This is a table that lists items and shows the number of times each item occurs.
46) What is a Frequency Polygon ?
A line graph of class frequency plotted against class modpoint
It is obtained by joining the midpoints of the tops of the rectangles from the histogram.
47) What is a Grouped Frequency Table ?
48) What is a Venn diagram ?
A diagram in which data is organised into overlapping circles (and sometimes other shapes).
49) What is a Carroll diagram ?
A Carroll diagram is used to organise data and group it according to whether it fits certain criteria.
50) What is a Decision Tree ?
51) What does Bearing mean ?
An angle between the direction north and the direction in which you are travelling.
52) What are the Roman Numerals ?
I = 1
II = 2
III = 3
IV = 4
V = 5
VI = 6
VII = 7
VIII = 8
IX = 9
X = 10
XX = 20
XXX = 30
XL = 40
L = 50
LX = 60
LXX = 70
LXXX = 80
XC = 90
C = 100
D = 500
M = 1000
XVII = (10 + 5 + 1 + 1) = 17
IX = (1 + 10) = 11
DXI = (500 + 10 + 1) = 511
53) What is a plane ?
A flat, 2D surface that extends infinitely.
54) What are Coordinates ?
They are pairs of numbers that show the exact position of a point on a grid.
Normally within brackets and separated by commas.
55) What is the 24 hour clock ?
This uses the hours 00:00 to 23:59
Where 00:00 is midnight and 12:00 is midday
56) What is AM ?
The time between midnight and midday.
57) What is PM ?
The time between midday and midnight.
58) How long since Michael left school ?
The time now is 4:15pm and he left school at 3:30pm.
59) What is Analogue time ?
The time written in words using a clock with hands.
60) Change "quarter to" time to digital ?
61) How many days in a year ?
62) How many days in a leap year ?
This type of year has an extra day and occurs once every 4 years.
63) How many days in February ?
There are 28 days in February but in a leap year there are 29.
64) How many days in a month ?
30 days in April, June, September and November
J = 31, M = 31, M = 31, J = 31, A = 31 O = 31, D = 31
F = 28/29, A = 30, J = 30, S = 30, N = 30
65) How many weeks in a month ?
66) How many weeks in a year ?
67) How many years in a century ?
68) How many years in a millenium ?
69) Lisa's birthday is on Monday 18 February. Forty four days later it is her mum's birthday. It is a leap year.
On which day of the week is Lisa's mum birthday ?
70) When is Guy Forks night / fireworks ?
71) If May 27 is a Wednesday, what is the date of the following Wednesday ?
72) If I must arrive at school at 8:45am, when should I start my 25 minute journey ?
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