Area of a Parallelogram
The area of a parallelogram = base x height. The area can also be worked out by making the parallelogram into a rectangle, however this will only work if you have the base and the height of the rectangle.
If you only have the area of the parallelogram and one of either base or height. You will need to divide the area by either the base or the height, whichever one you have.
Imperial and Metric Units
1000mg = 1g
1000g = 1kg
1000kg = 1 tonne
10mm = 1cm
100cm = 1m
1000m = 1km
1000ml = 1l
1ml = 1cm(cubed)
1000cm (cubed) = 1l
12 inches = 1foot
3 feet = 1 yard
36 inches = 1 yard
1760 yards = 1 mile
16 ounces = 1 pound
14 pounds = 1 stone
2240 pounds = 1 ton
Metric to Imperial
1 inch = 2.5 cm
1 foot = 30 cm
1.6 km = 1 mile
8 km = 5 miles
16 km = 10 miles
Mass and Volume
2.2 pounds = 1 kg
1 ounce = 30 g
1 gallon = 4.5 litres
Mean, median, mode and range
Mean : add up all the numbers and divide the result by the amount of numbers.
Median : put the numbers in consecutive order and find the number in the middle.
Mode : the number that occurs most often.
Range : the difference between the highest and lowest number.
Angles in Parallel Lines
Alternate angles are the same size. ( Z shape, angles are inside bends)
Supplementary angles add up to 180 degrees. ( C shape, inside the C)
Correspondind angles are equal. ( F shape, angles are underneath both lines of the F)
Adding, Subtracting, Dividing and Multiplying negative numbers
Same symbols are always equal to +.
Opposite symbols are always equal to -.
Vertical and Horizontal Lines
Any vertical line has an equation in the form = x = ...
Any horizontal line has an equation in the form = y = ...
To work out the equation for any line, you need the equation mx+c.
M, is the gradient, this is the difference between each of the points. The point on the x axis divided by the point on the y axis.
C, is the y intercept, this is where the line intercepts the y axis. This can be a positive number or a negative number. Sometimes you may have to extend the line if it does not touch the y axis, for this use the gradient.
To construct a triangle without the sizes of the angles you need to:
1) Draw your base line however long it needs to be.
2) Open your compass to the size of the side connected to the left edge of your straight base line.
3) Place the metal part of the compass of the left edge of the base line.
4) Draw an arc shape with the compass.
5) Re-do steps 2-4 but this time on the right edge of the base line.
6) Where the arc meet will be the final point of your triangle. Join it all together.
Remember to leave the arcs. NO ARCS, NO MARKS!!