Co-ordinates

Along the corridor and up the stairs.X axis = across (like a cross)Y axis = up and down (Y to the sky)

(3, 4) = First number is always the X axis.Second number is always the Y axis.

Reflection (with tracing paper)

1) Draw mirror line (In full!)2) Draw shape3) FLIP!!!!4) Line up mirror line.5) Draw over shape.Or Draw, flip, Draw

Rotation (with tracing paper)

1) Draw shape2) Identify and draw rotation point (Very

important!)3) Rotate the desired amount (Eg: Clockwise 90

degrees)4) Draw shape in new position.

Translation (with tracing paper)

Shape does not rotate, get bigger/smaller, it simply moves.

1) Draw shape and a point on the shape.2) Move the shape across and/or up of down to

new position.3) Redraw in new position.

Fractions/ Decimals/ PercentagesFractions Decimals Percentages

½ 0.5 50%

¼ 0.25 25%

1/8 0.125 12.5%

1/3 0.333 33.3%

1/5 0.2 20%

1/10 0.1 10%

1/100 0.01 1%

Regular Polygons

Regular = All sides the same/ all angles the same.Sides Regular Shape Angle sizes

3 Equilateral Triangle 60 degrees

4 Square (Regular Quadrilateral) 90 degrees

5 Pentagon -----------------------

6 Hexagon -----------------------

7 Heptagon -----------------------

8 Octagon -----------------------

Degrees in a triangle

There are 180 degrees in a triangle.

Straight line

There are 180 degrees in a straight line.

Full Circle

There are 360 degrees in full circle.

Averages

Hey diddle diddle, the medians the middle,You add and divide for the mean, The mode is the one that you see the most, And the range is the difference between. (The biggest and the smallest)

Different TrianglesTriangle Type Properties

Right angle triangle Has one right angle (Why can’t it have 2?)

Equilateral triangle All sides and angles (60°) are the same.

Isosceles triangle Two sides and 2 angles the same size.

Scalene triangle All sides and angles are different.

Different Quadrilaterals (4 sided)Quadrilateral Properties Example

Square Parallel: 2 setsPerpendicular (right angles): 4 Lines of symmetry: 4Angles: 4 Right angles

Rectangle Parallel: 2 setsPerpendicular: 4Lines of symmetry: 2Angles: 4 Right angles

Rhombus Parallel: 2 sets Perpendicular: 0Lines of symmetry: 2Angles: 2 acute/ 2 obtuse

Parallelogram Parallel: 2 setsPerpendicular: 0Lines of symmetry: 0Angles: 2 acute/ 2 obtuse

Trapezium Parallel: 1 setPerpendicular: depends if there are ant right angles of not. (use protractor)Lines of symmetry: Depends on shape (use mirror to see)

Different Types of anglesQuadrilateral Properties Example

Acute Less than 90°

Obtuse More than 90° but less than 180°

Reflex More than 180°

Straight line 180°

Right angle 90°(Use a protractor to check if it a right angle or not!)

Line Graphs

1) Always use a ruler!2) Write on the increments between numbers.

Time

1) Remember 60 minutes = 1 hour.2) Use a number line to work out differences between times.EG:

8:35 12:079:00 12:00

+25mins +3 hrs +7mins= 3hrs 32mins

8:35 11:35 11:55

+3hrs +20mins

orAdd 3hrs 20mins to 8:35.

Negative Numbers

1) Think of a Thermometer…

EG: Difference in temperature betweenLondon 12°C and Moscow -4°C is?Or…Add on till you get to 0 from -4 (4),then add on from 0 to 12 (12) and add the 2 answers = 16

Lowest Common Multiple(LCM)

What is the smallest number in these numbers timestables?EG: 6 and 20?1) Do the timestables for the biggest number and

see which one is in both their timestables.20, 40, 60 60 is a multiple of 6 and of 20. So the LCM is 60.

Highest Common Factor (HCF)

What is the biggest common factor that fits into the set of numbers?EG: 8 and 12? Factors of 8 = 1, 8, 2, 4.Factors of 12 = 1, 12, 2, 6, 3, 4.

Ordering Fractions1) Find the Lowest Common Multiple (LCM).2) Turn all the fractions into the equivalent fractions.(Remember what ever you do to the bottom do to the top)

3) Then order. Easy!EG: , , , , LCM = (Look at the biggest number) x5 x2 x4 x10 x5 10, 20

, , ,,

5 4 2 3 1 (Order) , , , , (Answer)

Reducing Fractions

1) If you can half both the numbers do so.2) Find a factor of both the numbers and divide

the top and bottom by this number. 3) If there is no other common factors, apart

from 1, you are done.

Measure with a Protractor1) Always ask yourself first, “Bigger or smaller

than 90°?”2) Make sure the centre of the protractor is

lined up with the angle with one of the lines along the zero line.

Draw an angle with a Protractor1) Always ask yourself first, “Bigger or smaller

than 90°?”2) Draw a straight line.3) Put the centre of your protractor at the end

of the line, along the zero line.4) Work round to correct angle size (Remember,

“Bigger or smaller than 90°?”)5) Put a dot a the angle size.6) Join the end of the line and the dot.

Probability1) Always write down probability as a fraction.This will help you answer the questions.

Number Probability of Selection

1 2/9

2 5/9

3 1/9

4 1/9

Pie Charts

Inverse Operation