1. Numeracy Cards “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” S. Gudder

2. Contents Bar ChartsPie ChartsCalculating PercentagesMeasurement: LengthMeasurement: MassMeasurement: CapacityKey words and spellingsTimes TableNumber LineMeasurement: MetricAreaSpeed/Distance/Time Exit

3. 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. Menu

4. Drawing pie charts The 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: NewspaperNo of peopleWorkingAngle The Guardian8 Daily Mirror7 The Times3 The Sun6 Daily Express6 8 × 12°96° 7 × 12°84° 3 × 12° 36° 6 × 12° 72° 6 × 12° 72° Total 30 360° Menu

5. 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 The Sun Daily Express When drawing pie chart remember: Menu

6. 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

7. 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 isgram The base unit for capacity islitre Kilo- Centi- Milli- Micro- meaning 1000 meaning one hundredth meaning one thousandth meaning one millionth Menu

8. 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 isKilogram The basic unit for capacity isCubic Metre Kilo- Centi- Millie- Micro- meaning 1000 meaning one hundredth meaning one thousandth meaning one millionth Menu The basic unit for time is Seconds

9. 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) Menu

10. 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 m Number 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 Menu

11. 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) Menu

12. 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 Menu Click here to find the answer

13. 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) Menu

14. Metric units of capacity A 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 Menu Click here to find the answer

15. Times Table 123456789101112 24681012141618202224 369121518212427303336 4812162024283236404448 51015202530354045505560 61218243036424854606672 71421283542495663707784 81624324048566472808896 918273645546372819099108 102030405060708090100110120 112233445566778899110121132 1224364860728496108120132144 Menu

16. Number Line -10-9 -8 -7 -6-5 0 -4 1 -3 -2 2 3 4 56 7 8 9 10 Menu Positive NumbersNegative Numbers

17. Number and Algebra – Key Terms AlgebraFormulaeSimultaneous Equations AscendingGreater ThanTransform BracketsLess ThanUnit CommutativeLinear EquationUnitary CubicLinear ExpressionValue Added Tax Direct ProportionMultiplyVerify DescendingProportional EqualsQuadratic Equation EquationQuadratic Expression ExpandRecurring Decimal ExpressionRatio EvaluateReciprocal FactoriseRegion Menu

18. Geometry and Measurement – Key Terms AcuteDiagonalLine AdjacentDiagramLitre AngleDiameterMetre AreaEdgeMileRectangle BaseEqualMillilitre Rhombus CentimetreEquilateralMillimetre Sphere CentilitreGramOpposite Square CentreHeightOctagonTemperature CircleHexagonParallelVertex CircumferenceHorizontalPentagonVertical ConcaveIdenticalPerimeter ConvertingIsoscelesPerpendicular CubicKilometrePolygon DegreeKilogramQuadrilateral Menu

19. AverageIntervalRange Bar ChartLabelRepresent Class IntervalMeanStatistic DataMedianSurvey DatabaseModeTable ExperimentModal ClassTally FrequencyPie ChartTitle InterpretQuestionnaire Handling Data – Key Terms Menu

20. 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 Menu L W 8cm 2cm Helpful Tip For more information or help with finding the area of other shapes visit the website below http://www.mathsisfun.com/area-calculation-tool.html 10cm

21. 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? Menu Speed =distance time Click here to find the answer = 120 ÷ 3 = 40 = 40 mph

22. 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? Menu Distance = speed x time Click here to find the answer = 60 x 4 = 240 miles

23. Calculating Speed, Distance and Time Calculating Time Speed 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? Menu Time = distance speed Click here to find the answer = 300 ÷ 5 = 60 seconds