Year 12 Standard 1 Maths Revision

Trigonometry

100

Write the True Bearing that is the same as S20E

160

200

Find the length of the hypotenuse of a right angled triangle whose side lengths are 6cm and 7cm to 2 significant figures.

9.2cm

300

Find the missing side length to 2 decimal places (xm, 3m, 40deg)

1.93m

400

Find the missing side length to 1 decimal place (15km, 30deg)

17.3km

500

Find the size of the missing angle (4cm, 5cm) to the nearest degree

39deg

Rates

100

Convert 3870mm to m.

3.87m

200

When you look at a distance time graph, how do you know when the person is travelling the fastest?

The steepest part of the graph.

300

Which is the best buy?

- 600mL bottle of Coke for $3.90

- 300mL bottle of Coke for $2.00

600mL

400

Mr Schultz's fuel consumption is 8.6L/100km. He travels 30 000km in a year. How many litres of fuel does he use?

2580L

500

A 2500 watt air conditioner is used for 3 hours each day. How many kWh does it use in a year?

2737.5kWh

Algebra

100

Evaluate m = 6 - 3(a+b) if a = -3 and b = 7

-6

200

Where is the breakeven point on a graph?

Where two lines intersect

300

How long will it take to travel 570km at 90km/h?

6 hours 20 minutes

400

Make r the subject of P = 2r + 10

r = (P-10)/2

500

I invest some money at 5%p.a. compounded annually. In 10 years, I have $100 000. How much have I invested?

$61391.33

Data

100

Describe the type, strength and direction of this association

Linear, strong, negative

200

Calculate the mean and median of

14     7      20       9

Mean = 12.5

Median = 11.5

300

Create a 5 figure summary for

6    8    9    9     11    15    16     18    22

Min = 6

Q1 = 9

Q2 = 11

Q3 = 16

Max = 22

400

Identify one feature of a misleading graph

- Columns different widths

- Uneven vertical scale

etc

500

For the data below, is the largest number an outlier? Justify your answer using the formula.

30     40     42     45     50    52     54    80

Yes

Money

100

Find the simple interest earned if I invest $4000 for 3 years at 6% p.a.

$720

200

Find the compound interest earned if I invest $4000 for 3 years at 6%p.a.

$764.06

300

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

400

Calculate the salvage value of a caravan which was purchased for $50 000 if it depreciates by 10%p.a. for 6 years

$26 572.05

500

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