Year 8 - Maths - Task 1 - In Class Year 8 MAT.D

Question 1

What do we use almost all of the time?

Order of Operations

Answer 1

BODMAS

Orders/Indices
Division
Multiplication
Addition
Subtraction

Brackets

Question 2

What is the Integers Rule?

Answer 2

• • • = +
• • • = +
• • • = -
• • • = -

Same sign numbers equal positive
Different signs equal negative

Question 3

Square’s Area Formula?

A square is a quadrilateral with equal sides.

Answer 3

A=s^2

A= Side x Side

Question 4

Rectangle’s Area Formula?

A quadrilateral with 2 sets of equal sides.

Answer 4

A= l x b

A= Length x Base

Question 5

Triangle’s Area Formula?

A triangle is a polygon with three sides having three vertices.

Answer 5

A= 1/2 b h

A= 1/2 x Base x Height

Question 6

Parallelogram’s Area Formula?

A parallelogram is a quadrilateral that has two pairs of opposite sides parallel and equal lengths.

Answer 6

A= bh

A = Base x Height

Question 7

Rhombus’s Area Formula?

A Rhombus is a Parallelogram that has all sides equal and the diagonals bisecting each other at right angles.

Answer 7

A= 1/2 x y

A= 1/2 x X x Y

The x and y are the length of the diagonals.

Question 8

Kite’s Area Formula?

A kite is a quadrilateral that has two pairs of equal adjacent sides.

Answer 8

A= 1/2 x y

A= 1/2 x X x Y

The x and y are the length of the diagonals.

Question 9

Trapezium’s Area Formula?

A Trapeziums is a quadrilateral that has at least one pair of parallel sides.

Answer 9

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.

Question 10

How can you fin the area of a composite shape?

Answer 10

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.

Question 11

What is the Diameter of a circle?

Answer 11

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

Question 12

What is the Circumference of a circle?

Answer 12

The circumference of a circle is the perimeter of a circle.

Question 13

What is a Quadrant of a circle?

Answer 13

A quadrant of a circle is a sector that is a qiarter of a circle with angle 90o

Question 14

What is the Radius of a circle?

Answer 14

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)

Question 15

How can you find the area of a sector?

Answer 15

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

Question 16

What is a prism?

Answer 16

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.

Question 17

Prism’s Volume Formula

Answer 17

V = Ah

V= Area of cross-section x height

The height refers to the distance between the two unigorm cross section.

Question 18

How can you calculate volume?

Answer 18

1. Calculate the area of the cross section.
2. Multiply the area by the height of prism using V= Ah

Most of the time the area of the cross-section is not given.

Question 19

What is a cylinder?

Answer 19

A cyclinder is another solid with a uniform and the cross-section is a circle.

Question 20

How to calculaing the volume of a cylinders.

Answer 20

Find the area of the cross-section and multiply by the height. V= π r^2h

V= π x radius^2 x height

Question 21

How can you find the capacity of a solid?

Answer 21

To find the capacity of a solid first find the volume the convert the volume units into capacity units.

Question 22

How can you convert volume to capacity?

Answer 22

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).