Year 9 Mathematics Term 4

Financial math

100

You work for 4 days a week, and each shift is 6 hours at $12.50 an hour. How much is your weekly pay?

4*6=24 hours 

12.50*24=$300

200

You take a loan of $1000 over 4 years at 5% simple interest. How much interest do you pay?

I=Prn

P=$1000

r=0.05

n=4 years

I=1000*0.05*4

I=$200

300

What is the simple interest rate if you borrow $500 over two years and pay $80 interest?

I=Prn

I=$100

P=$500

n = 2 years

r= ? 

100=500*2*r

r=100/(500*2)

R=0.1 or 10%

400

Surprise!

How many days in February next year?

Its a leap year, 29.

500

Fabrizio works a normal week of 30 hours and is paid at an hourly rate of $10 per hour. 

Overtime is paid at time-and-a-half. 

Last week, Fabrizio earned $375. 

How many hours did Fabrizio work last week?

Normal week: $10*30 = $300

$375 - $300 = $75

Time-and-a-half rate = 1.5 * $10 = $15

$75/15 = 5 hours overtime

Total hours worked = 30 + 5 = 35 hours

Geometry and measurement

100

Define a rectangle. 

A four sided shape who has two sets of sides the same length, and all internal angles of 90 degrees. 

200

What is the perimeter of a rectangle that has a length of 70m and a width of 20m?

Draw a picture!

P=2*70+2*20

P=140+40

P=180m

300

What is the area of a triangle with a base of 15mm and a height of 8mm?

A=1/2*bh

A=1/2*15*8

A=60mm²

400

What is the volume of a cylinder of radius 1.5cm and a height of 11cm?

V=Ah

A=pi*r²

A=pi*1.5²

A=7.07m

h=11

V=11*1.07

V=77.75m³

500

Surprise!

Name all of the original members of the "Fellowship of the Ring". 

Gandalf, Boromir, Aargorn, Gimli, Legolas, Pippin, Merry, Sam and Frodo 

Algebra

100

If a=2, calculate: 

3a+1=

3*2+1

6+1

7

200

Solve for x:

2x+1=11

2x+1-1=11-1

2x=10

2x/2=10/2

x=5

300

Surprise!

What are the names of Daenerys' dragons?

Triple points if all are spelt correctly.

Drogon, Viserion, Rhaegal

400

Solve the following: 

1/2(3x-2)=2

2*1/2(3x-2)=2*2

(3x-2)=4

3x-2=4

3x-2+2=4+2

3x=6

3x/3=6/3

x=2

500

What is the point when these two lines cross: 

y=2x+1

y=4x-3

Solve either graphically (sketch it) or algebraically. 

(2,5)

Indices

100

Simplify: 

x²*x⁷

x⁹

200

Surprise! 

What is Heidecker's favourite NFL team? Bonus points if you can recall his favourite player and his number!

The New York Giants - Saquon Barkley 26

300

Simplify 

(x⁷)²/x⁴

x^7*2/x⁴

x⁹/x⁴

x^9-4

x⁵

400

Determine the value of x

2^x=32

2^x=32

2^x=2⁵

Therefore x=5

500

Surprise!

What does Mufasa (Lion King) and Darth Vader (Star Wars) have in common?

They are both voiced by the same actor: James Earl Jones.