Trigonometry
Trigonometry
Data
Managing Money
Managing Money
100
The 2 sides of a right angled triangle are 6cm and 12cm. What is the hypotenuse?
13.42cm
100
The two sides of a right angled triangle are 10m and 15m. What is the hypotenuse?
11.18m
100
A bar graph is...
constructed using rectangles of equal width for each item of data. Bars may be separated with a space
100
A shop had CD players for sale for $449. The players cost the shop $230 each. What was the markup?
$129
100
Calculators are sold to shops at a trade discount of 40%. What do shops pay for a calculator with a list price of $45?
cost price = list price - discount = $45 - $18 = $27
200
There is a pair of similar triangles. One triangle has a base of 1.26m and a perpendicular height of 1.8m. The other triangle has a base of 3.92m. What is its perpendicular height?
5.6m
200
If angle 'A' is the right angle of a triangle, what side is 'a'?
Hypotenuse
200
A histogram is...
Columns with no spaces between them, with the scores in the centre of the columns.
200
An electrical store uses a 40% markup on large items. What is the retail price for a fridge that cost the store $840?
retail price = cost price + markup = $840 + $336 =$1176
200
If a company say the conditions of paying an invoice is n/30 and you received the invoice on 25 August, what date is the last date for payment?
24 September
300
A wall frame 3.4m long and 2.1m high is to have a diagonal brace fitted. How long must the brace be?
4m
300
A shadow stick of 3m casts a shadow of 2.4m. At the same time, a building casts a shadow of 18m. What is the height of the building?
22.5m
300
A positive relationship is...
as one variable increases, the other generally increases
300
A shop uses 70% markup. What was the cost price of a pair of jeans sold for $157.25?
cost price = $157.25/1.70 = $92.50
300
A company give you an invoice with the following conditions 5/10, n/45. If the total cost of the invoice is $250, how much would you pay if you paid in 8 days?
$237.50
400
Draw a right angled triangle with a base of 12cm and x as the perpendicular height. The angle between the base and the hypotenuse is 40 degrees. What is the height of x (perpendicular height)?
tan 40 degrees = x/12 x = 12 tan 40 degrees Perpendicular height (x) = 10.1cm
400
Draw a right angled triangle with 14m as the hypotenuse and x as the perpendicular height. The base is unknown. The angle between the top of the hypotenuse and the top of the perpendicular height is 42 degrees. Find the perpendicular height (x).
cos 42 degrees = x/14 x = 14 cos 42 degrees x = 10.4m
400
A negative relationship means...
as one variable increases, the other generally decreases
400
A car dealership gets a trade discount of 25% of the recommended retail price of the car (without on road costs). The dealership adds $2000 for preparing the car for sale. The recommended price of the car, without on road costs and dealer charges is $25900. Registration and insurance cost a total of $1470. What does the dealership make on selling the car?
dealer's take = trade discount + charges = 0.25 x $25900 + $2000 =$6475 + $2000 = $8475
400
An electrical store sells a freezer for $850. It buys them for $600. What is the percentage profit?
250/600 x 100% = 41.7%
500
A ship sails due north for 120km then turns and sails due east for 180km. How far is the boat now directly from its starting position? Draw a diagram to help you.
x squared = 120 squared + 180 squared x = 216.3 km The boat is now directly 216.3km from its starting position.
500
Ben is standing 120m from the base of a building. He looks up to the top of the building at an angle of elevation of 36 degrees. How high is the building? Draw a diagram to help you.
Triangle 120m as the base and angle between base and hypotenuse is 36 degrees. tan 36 degrees = x/120 x = 120 tan 36 degrees x = 87.2m The building is 87.2m high
500
what information does a back-to-back stem and leaf plot give you?
it can compare the data quick and easily to see trends
500
An agricultural supplier works on a profit margin of 28%. Drums of pesticide are sold for $544 each. What was the cost price?
selling = cost + profit = 128% cost price $544 = 1.28 x cost cost = $544/1.28 = $425
500
On a particular day, the exchange rate for the Australian dollar is $AUD1 = $USD0.5277. How much is $AUD5000 work in $USD?
0.5277 x 5000 = $ 2638.50 USD
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