Wages/Salary
George earns $15.80 per hour, he works 35 hours per week. How much does he earn in a week?
$15.80 x 35 = $553
Express 8.30pm in 24hour time
20:30
On a map with a scale of 1: 400, Edward measured 13.9 cm. Calculate the real life measurement
400 x 13.9 = 5,560 cm
What is the best unit to measure speed a car race in?
km/hr
What is a survey?
A survey is the process of gathering information from a small group, known as a sample, from within a population
Sandra earns a 5.2% commission on all sales she makes selling houses. Last month she sold $789, 600 worth of houses. How much did she get paid last month?
5.2% = 5.2/100 = 0.052
0.052 x $789,6000 = $41,059.20
GoldCoast is 2 hrs behind Auckland. If it is 9.30am in GoldCoast, what time is in Auckland?
11.30am
If you were facing North and rotated anti-clockwise 270 degree, what way would you be facing?
270 degrees is 3/4 of a circle.
East
Ozzie Pies have 445 kJ per 100 g. Calculate the total energy in a 600 g packet.
600 / 100 = 6
6 x 445 = 2,670kJ
Name the four main types of survey techniques
Random, self-selecting, stratified and systemiatic
Bonnie gets paid time and a half when she works on Saturdays. Last Saturday, she worked 5.5 hours. Bonnie's normal rate is $23.50 per hour, how much did she get paid last Saturday?
1.5 x $23.50 = $35.25
$35.25 x 5.5 = $193.86
A flight from Brisbane to Melbourne takes 3.5 hours. The flight leaves Brisbane at 10.45am, what time does it arrive in Melbourne?
2.15pm
Convert 59 000 000mm into km
59 000 000mm to cm (/10) = 5900000cm
5900000cm to m (/100) = 59000m
59000m to km (/1000) = 59km
Jack completed 4000 m cycling individual pursuit in 4.17 min. How fast was he travelling? (m/s)
4.17 x 60 = 250.2 s
s = d/t
s = 4000/250.2 = 15.98m/s
Lachlan surveys his classmates, asking them ‘Are you a fan of the Brisbane Bronco’s NRL team like me?’.
Explain what is wrong with his survey question.
Question is biased
James gets paid a retainer of $2598 per month plus $570 for every vegetable garden he makes. Last month he made 13 gardens. How much did he earn last month?
$570 x 13 = $7,410
$2598 + $7410 = $10,008
Convert 3.7hrs into hours and minutes
0.7 x 60 = 42
3hrs and 42 mins
Scale of a map states 1: 8000, I measure 23 mm.
What is the real life distance in m?
8000 x 23 = 184 000mm
184000/10 = 18400cm
18400/100 =184m
On a Distance-Time graph:
a. What does a horizontal line represent?
b. The steepness of the gradient determines?
a. Stationary (not moving)
b. How fast you are going, steeper the gradient faster you are moving.
Jim wishes to surprise his teenage son by purchasing him a new gaming console. He surveys his colleagues at work for advice on which platform to buy.
Describe a fault in Jim’s method of collecting data.
Sampling population is not targeted at the demographic to target population
Larry earns $45, 600 p.a., he works 40 hrs per week. Calculate Larry's hourly rate?
$45, 600 / 52 = $876.92
$876.92 / 40 = $21.92
A car ride takes 2.4 hrs, if you leave at 8.00am what time would you arrive?
0.4 x 60 = 24 mins
8 + 2hrs 24 mins = 10.24am
Monique is watching the sun set, she turns 90 degree right, what direction is she now facing?
Sun sets in the West, if she turns right to face the North
Karla needs to be at the airport for a flight that eaves at 9:00am. She is required to be at airport 1hr before the flight.
Karla lives 58 km for the airport and will travel at an average speed of 80km/hr.
Calculate the latest she needs to leave her house to be at the airport on time.
Karla needs to be at the airport at 8:00am. 9 -1 = 8
t = d/s 58/80 = 0.725 hr
0.725 x 60 = 43.5 mins (rounded 44)
8:00 - 44min = 7:16am
A cricket phone app polled its subscribers on who is the greatest batsman of all time. This happened as a very popular player was approaching a double century (200 runs) and the game was being televised live around the country.
Describe any sources of error in this poll.
Self selecting sample population
Must own the app to take part in the poll
News is currently bias, timing would bias the results
Limited amount of people taking part in poll, small sample size