Year 8 - Maths - Task 1 - In Class Year 8 MAT.D Flashcards
Studying
What do we use almost all of the time?
Order of Operations
BODMAS
Orders/Indices
Division
Multiplication
Addition
Subtraction
Brackets
What is the Integers Rule?
- = +
- = +
- = -
- = -
Same sign numbers equal positive
Different signs equal negative
Square’s Area Formula?
A square is a quadrilateral with equal sides.
A=s^2
A= Side x Side
Rectangle’s Area Formula?
A quadrilateral with 2 sets of equal sides.
A= l x b
A= Length x Base
Triangle’s Area Formula?
A triangle is a polygon with three sides having three vertices.
A= 1/2 b h
A= 1/2 x Base x Height
Parallelogram’s Area Formula?
A parallelogram is a quadrilateral that has two pairs of opposite sides parallel and equal lengths.
A= bh
A = Base x Height
Rhombus’s Area Formula?
A Rhombus is a Parallelogram that has all sides equal and the diagonals bisecting each other at right angles.
A= 1/2 x y
A= 1/2 x X x Y
The x and y are the length of the diagonals.
Kite’s Area Formula?
A kite is a quadrilateral that has two pairs of equal adjacent sides.
A= 1/2 x y
A= 1/2 x X x Y
The x and y are the length of the diagonals.
Trapezium’s Area Formula?
A Trapeziums is a quadrilateral that has at least one pair of parallel sides.
A= 1/2 h (a + b)
A= 1/2 x h x (a +b)
The (a+b) is the 2 parallel sides. The ‘h’ is the distance between the two parallel sides.
How can you fin the area of a composite shape?
Break up the composite figure into simple shapes, then add, or subtract the areas of those shapes.
There are multiple ways to split up your shape.
What is the Diameter of a circle?
The diameter of a circle is the interval running from one side of a circle to the other side and through the circle’s centre. To find the circumference C = πd
C= π x d
What is the Circumference of a circle?
The circumference of a circle is the perimeter of a circle.
What is a Quadrant of a circle?
A quadrant of a circle is a sector that is a qiarter of a circle with angle 90o
What is the Radius of a circle?
Radius of a circle is the distance from the center of the circle to any point on it’s circumference. The formula to calculate the circumference is C= 2çr
C=2 x π x r (Mulply the radius by 2 to get the diameter then use use the diameter formula)
How can you find the area of a sector?
To find the area of a sector first find the fraction of the cirle that is subtended by the sector and multiple by the formula.
Like, a forth of a circle would be A= 1/4 x π x r^2
A= ?/? x π x r^2
What is a prism?
A prism has 2 identical parallel bases connected by flat sides, while a pyramid has a single base and triangular sides that meet at a point called apex.
Prism’s Volume Formula
V = Ah
V= Area of cross-section x height
The height refers to the distance between the two unigorm cross section.
How can you calculate volume?
- Calculate the area of the cross section.
- Multiply the area by the height of prism using V= Ah
Most of the time the area of the cross-section is not given.
What is a cylinder?
A cyclinder is another solid with a uniform and the cross-section is a circle.
How to calculaing the volume of a cylinders.
Find the area of the cross-section and multiply by the height. V= π r^2h
V= π x radius^2 x height
How can you find the capacity of a solid?
To find the capacity of a solid first find the volume the convert the volume units into capacity units.
How can you convert volume to capacity?
1000 mL = 1 Litre
1000L = 1 Kilolitre
1cm^3 = 1mL
1000cm^3 = 1 Litre
1m^3= 1 Kilolitre (KL)
The units of capacity are mL, Litres (L), kilolitres (KL).
