Trigonometry
Write the True Bearing that is the same as S20E
160
When you look at a distance time graph, how do you know when the person is travelling the fastest?
When the gradient is steepest
Evaluate m = 6 - 3(a+b) if a = -3 and b = 7
-6
Describe the type, strength and direction of this association
Linear, strong, negative
Find the future value if I invest $4000 for 3 years simple interest at 6% p.a.
$4720
Find the length of the hypotenuse of a right angled triangle whose side lengths are 6cm and 7cm to 2 significant figures.
9.2cm
A house plan has a scale of 1 : 300. On the plan, the master wardrobe is 14 mm. What is the actual length of the wardrobe in metres?
4.2m
Where is the breakeven point on a graph?
Where two lines intersect
Calculate the mean, median and standard deviation to 1dp of
14 7 20 9
Mean = 12.5
Median = 11.5
Standard deviation = 5.0
Find the compound interest earned if I invest $4000 for 3 years at 6%p.a.
$764.06
The angle of elevation of a person standing in a valley looking up to the top of a 15m tall waterfall is 30 degrees. How far is the person from the base of the waterfall, to 1 dp?
26.0m
A model airplane has a scale ratio of 1 : 400. Find the model length in mm of an airplane that is 20 m long in real life.
50mm
How long will it take to travel 570km at 90km/h?
6 hours 20 minutes
Create a 5 figure summary for
9 15 9 11 6 8 16 18 22
Min = 6
Q1 = 9
Q2 = 11
Q3 = 16
Max = 22
Find the salvage value of a truck that I bought for $28 000 after 5 years using the straight line depreciation method if it depreciates by $5000 a year.
$3000
A plane flies 180km from airport O on a bearing of 280°. How far west has the plane flown, to the nearest kilometre?
177km
Mrs Schultz's fuel consumption is 8.6L/100km. She travels 30 000km in a year. How many litres of fuel does she use?
2580L
Make r the subject of P = 2r + 10
r = (P-10)/2
Identify one feature of a misleading graph
- Columns different widths
- Uneven vertical scale
etc
Calculate the amount of depreciation of a caravan which was purchased for $50 000 if it depreciates by 10%p.a. for 6 years using the declining balance method
$23 427.95
A cyclist rides 30km from A on a bearing of 150 and then stops for a rest at point B. Find the bearing of A from B.
330
A 2500 watt air conditioner is used for 3 hours every day. Electricity costs 32.7c per kWh. How much does it cost to use the air conditioner for a year?
$895.16
The line of best fit connecting height (H) & armspan (A) is H=1.2A-36. Predict the armspan of someone with height 183cm.
182.5cm
For the data below, is the largest number an outlier? Justify your answer using calculations.
30 40 42 45 50 52 54 80
53 + 1.5x12 = 71
Yes as 80 is larger than 71
Calculate the amount of money I will have in the bank if I invest $18 000 for 5 years at 4%p.a. compounded quarterly.
$21963.42