Rates and Ratios
A rectangle is 8cm long and 3 cm wide. Write the ratio of the area to the perimeter.
12 : 11
4x - 3 = 3x + 9
What is the name of the longest side?
Hypotenuse
Convert 16 2/3% to a fraction.
1/6
Who do the Socceroos play in the last game of the group stage
Paraguay
The angles in a triangle are in the ratio 3 : 5 : 1. Find the size of the angles.
60, 100, 20
-3(r - 5) = 18
r=-1
A ladder of length 9m reaches up the side of a wall. How far is the foot of the ladder from the base of the wall, correct to 1 decimal place?
5.7 m
A group of 5000 people were surveyed to determine their favourite style of music. Of these, 17.3% favoured Classical, 28.6% favoured Rock, 32.7% favoured Pop and the rest favoured ‘other styles of music’. How many people favoured ‘Other styles of music’?
1070
What is Australias most popular dog breed
Cavoodle
Convert 0.12 km/hr to m/min
2 m/min
A number is doubled, increased by 5, then multiplied by 3. The result is 39. Find the number.
4
The short sides of a right angled triangle are 3x and 4x with the hypotenuse equal to 30m. Find the value of x
x = 6
Marli sold her car for $13000, having paid $20 000 for it. Find the Percentage loss.
35%
What is the Population of Newcastle (nearest 1000)
179 000
It takes 3 men 8 hours to construct a wall. How long will it take 4 men to complete the same wall
6 hours
11- c/4 < 28
c > -68
A woman left home and drove 61km due south , 77 km due west, then 25km due North. How far is the woman from home?
85 km
The sale price of an item including a 10% GST is $253. Find the cost of the item excluding GST.
$230
What year did Lambton High School Open?
1974
Thr ratio of chickens to geese on a farm is 3:4, while the ratio of geese to ducks is 2:5. What is is the ratio of chickens to ducks?
3 :10
3x/6 + 2x/5 = 2
x=5
Two buildings of different heights stand on opposite sides of a street. The tops of the buildings are joined by a cable of length 10.4m. If the taller building is 11m high and the distance between buildings is 6.9m, find the height of the shorter building, correct to one decimal place.
3.2m
Roberts Car depreciates on average by 15% each year. If his car is worth $17 340 after 2 years, find the original value of the car.
$24 000
What was the cost of the original iphone (cheapest model)
$499