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

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How children travel to school

Method of travel

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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:

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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

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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

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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