Numeracy Cards “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” S. Gudder.
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Numeracy Cards
“The essence of mathematics is not to make simple things complicated, but to make complicated things simple .” S. Gudder
ContentsBar Charts
Pie Charts
Calculating Percentages
Measurement: Length
Measurement: Mass
Measurement: Capacity
Key words and spellings
Times Table
Number LineMeasurement: Metric
Area
Speed/Distance/Time
Exit
Drawing bar charts
When drawing bar chart remember:Give the bar chart a title.
Use equal intervals on the axes.
Draw bars of equal width.
Leave a gap between each bar.
Label both the axes.
walk train car bicycle bus other0
2
4
6
8
10
12
How children travel to school
Method of travel
Nu
mb
er o
f ch
ild
ren
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Drawing pie chartsThe first step is to work out the angle needed to represent each category in the pie chart. To do this we need to work out how many degrees are needed to represent each person or object in the sample.
There are 30 people in the survey and 360° in a full pie chart.Each person is therefore represented by 360° ÷ 30 = 12°. We therefore multiply the number of people by 12° and that gives us the angle.
We can now calculate the angle for each category:
Newspaper No of people Working Angle
The Guardian 8
Daily Mirror 7
The Times 3
The Sun 6
Daily Express 6
8 × 12° 96°
7 × 12° 84°
3 × 12° 36°
6 × 12°
72°6 × 12°
72°
Total 30 360°
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Drawing your pie chart
Once the angles have been calculated you can draw the pie chart.
• Start by drawing a circle using compasses.
• Draw a radius.
• Measure an angle of 96° from the radius using a protractor and label the sector.
96º
The Guardian
• Measure an angle of 84° from the last line you drew and label the sector.
84º
Daily Mirror
• Repeat for each sector until the pie chart is complete.
36º
The Times
72º
72º
The Sun
Daily Express
When drawing pie chart remember:
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Divide by 100 to find 1% and then multiply the answer by the percentage that it is asking for.
E.G. 65% of £180
180÷100 = 1.8 is equal to 1 percent
Multiply 1.8 by 65
1.8 x 65 = £117
Calculating a Percentage
When calculating a percentage remember to:
%Menu
Metric units
The metric system of measurement is based on powers of ten and uses the following prefixes:
These prefixes are then followed by a base unit.
The base unit for length is metre
The base unit for mass is gram
The base unit for capacity is litre
Kilo-
Centi-
Milli-
Micro-
meaning 1000
meaning one hundredth
meaning one thousandth
meaning one millionth
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Metric units in Science
The metric system of measurement is based on powers of ten and uses the following prefixes:
These prefixes are then followed by a base unit.
The basic unit for length is metre
The basic unit for mass is Kilogram
The basic unit for capacity is Cubic Metre
Kilo-
Centi-
Millie-
Micro-
meaning 1000
meaning one hundredth
meaning one thousandth
meaning one millionth
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The basic unit for time is Seconds
Metric units of length
Metric units used for length are kilometres, metres, centimetres and millimetres.
1 kilometre (km) = 1000 metres (m)
1 metre (m) = 100 centimetres (cm)
1 metre (m) = 1000 millimetres (cm)
1 centimetre (cm) = 10 millimetres (cm)
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Metric units of length
A race track measures 400 m. An athlete runs 2.6 km around the track. How many laps is this?
2.6 km = 2600 mNumber of laps =2600 ÷ 400
= 6.5 laps
The following day the athlete completes 8 laps. How many kilometres is this?
8 laps = 8 × 0.4 km= 3.2 km
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Metric units of mass
Metric units used for mass are tonnes, kilograms and grams and milligrams.
1 tonne = 1000 kilograms (kg)
1 kilogram (kg) = 1000 grams (g)
1 gram (g) = 1000 milligrams (mg)
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Metric units of mass
60 tea bags weigh 150 g.How much would 2000 tea bags weigh in kg?
We can solve this problem using a unitary method.
60 tea bags weigh 150 g
So, 1 tea bag weighs (150 ÷ 60) g = 2.5 g
Therefore, 2000 tea bags weigh (2.5 × 2000) g = 5000 g
= 5 kg
MenuClick here to find the
answer
Metric units of capacity
Capacity is a measure of the amount (volume) of liquid that a 3-D object (for example a glass) can hold.
Metric units of capacity are litres (l), centilitres (cl) and millilitres (ml).
1 litre (l) = 100 centilitres (cl)
1 litre (l) = 1000 millilitres (ml)
1 centilitre (cl) = 10 millilitres (ml)
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Metric units of capacityA bottle contains 750 ml of orange squash. The label says: Dilute 1 part squash with 4 parts water.How many of litres of drink can be made with one bottle?
E.g. If the whole bottle was made up we would have
750 ml of squash + (4 × 750) ml of water
= 750 ml of squash + 3000 ml of water
= 3750 ml of drink
= 3.75 l of drink
MenuClick here to find the
answer
Times Table
1 2 3 4 5 6 7 8 9 10 11 12
2 4 6 8 10 12 14 16 18 20 22 24
3 6 9 12 15 18 21 24 27 30 33 36
4 8 12 16 20 24 28 32 36 40 44 48
5 10 15 20 25 30 35 40 45 50 55 60
6 12 18 24 30 36 42 48 54 60 66 72
7 14 21 28 35 42 49 56 63 70 77 84
8 16 24 32 40 48 56 64 72 80 88 96
9 18 27 36 45 54 63 72 81 90 99 108
10 20 30 40 50 60 70 80 90 100 110 120
11 22 33 44 55 66 77 88 99 110 121 132
12 24 36 48 60 72 84 96 108 120 132 144
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Number Line
-10 -9 -8 -7 -6 -5 0-4 1-3 -2 -1 2 3 4 5 6 7 8 9 10
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Positive NumbersNegative Numbers
Number and Algebra – Key Terms
Algebra Formulae Simultaneous EquationsAscending Greater Than TransformBrackets Less Than UnitCommutative Linear Equation UnitaryCubic Linear Expression Value Added TaxDirect Proportion Multiply VerifyDescending ProportionalEquals Quadratic EquationEquation Quadratic ExpressionExpand Recurring DecimalExpression Ratio Evaluate ReciprocalFactorise Region
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Geometry and Measurement – Key Terms
Acute Diagonal Line
Adjacent Diagram Litre
Angle Diameter Metre
Area Edge Mile Rectangle
Base Equal Millilitre Rhombus
Centimetre Equilateral Millimetre Sphere
Centilitre Gram Opposite Square
Centre Height Octagon Temperature
Circle Hexagon Parallel Vertex
Circumference Horizontal Pentagon Vertical
Concave Identical Perimeter
Converting Isosceles Perpendicular
Cubic Kilometre Polygon
Degree Kilogram Quadrilateral Menu
Average Interval Range
Bar Chart Label Represent
Class Interval Mean Statistic
Data Median Survey
Database Mode Table
Experiment Modal Class Tally
Frequency Pie Chart Title
Interpret Questionnaire
Handling Data – Key Terms
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Area of a square = a²
e.g. = 10² = 100cm²
Calculating the Area of a shape
Area of a rectangle= w x l
e.g. = 8 x 2 = 16cm²
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L
W
8cm
2cm
Helpful TipFor more information or help with finding the area of other shapes visit the website belowhttp://www.mathsisfun.com/area-calculation-tool.html
10cm
10cm
Calculating Speed, Distance and Time
Calculating Speed
Speed is measured in miles per hour or Kilometres per hour.
E.g. A train takes 3 hours to travel 120 miles. What speed was the train travelling at?
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Speed = distancetime
Click here to find the answer
= 120 ÷ 3 = 40
= 40 mph
Calculating Speed, Distance and Time
Calculating Distance
Speed is measured in miles per hour or Kilometres per hour.
E.g. What distance would a car travel after 4 hours travelling at 60 mph?
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Distance = speed x time
Click here to find the answer
= 60 x 4
= 240 miles
Calculating Speed, Distance and Time
Calculating TimeSpeed is measured in miles per hour or Kilometres per hour.
E.g. If a person runs at 5 m/s. How long will it take that person to run 300 metres?
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Time = distancespeed
Click here to find the answer
= 300 ÷ 5
= 60 seconds
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