Earning Money
Will works casual hours at a corner store after school and on weekends. He completes a total of 5 hours of work on a Saturday and is paid at a rate of $13.95 per hour. Calculate his wage for the day.
5 x 13.95 = $69.75
How many fortnights are in a year?
26 fortnights.
______ distance x ______ factor = ______ distance
word bank: scale, map, actual
map distance x scale factor = actual distance
in d = st, d/s=t, and d/t=s
s =t =
d =
in d = st, d/s=t, and d/t=s
s = speed
t = time
d = distance
What does ambiguous mean?
If something is ambiguous it can have multiple meanings and is too vague.
Jade is paid $24.50 per hour working as a casual employee at The Honey Factory. Refer to her timesheet below to calculate:
a) how many hours Jade has worked, in total, in the time period shown
b) how much Jade will be paid
Saturday 8am to 1:30pm
Sunday 8am to 12:30pm
8am to 1:30pm = 5.5 hours
8am to 12:30pm = 4.5 hours
total = 10 hours
24.50 x 10 = $245
Joan is booked in for an x-ray on her knee. She is told that the scan will take around 12 min. She looks at the time on her way into the room and it is 1:09 p.m.
a) Determine the time when Joan would expect her x-ray to be completed.
b) Express the expected finishing time in 24-hour time.
9 + 12 = 21
1:21pm
13 21 hours
1 km = _________ cm
1 km = _________ mm
1 m = _______ cm
1 m = ________ mm
1 km = _______ m
1 km = 100,000 cm
1 km = 1,000,000mm
1 m = 100cm
1 m = 1,000mm
1 km = 1,000 m
If chicken nuggets have 782 kJ per 100 g serving, calculate the total kilojoules in a 750 g box.
782 / 100 = 7.82 x 750 = 5865 kJ
Give an example of an ambiguous question.
Eg
What do you do?
Where do you eat?
Where do you shop?
Sal earns $17.80 per hour and typically works for 25 hours per week. During one week, he completed his standard 25 hours and he also worked 3 hours overtime at a rate of time and a half. Calculate Sal’s income for that week.
17.80 x 25 = $445
17.80 x 1.5 = $26.70 x 3 = $80.10
total = $525.10
Justine went to her local public library at 9:15 a.m. and returned home at 12:02 p.m. Determine how long she was out, in hours and minutes.
45min + 2 hours + 2 min
total = 2 hours and 47 min
Lee is looking at a map with a scale factor of 1:20 000
They measure a distance on the map of 34mm.
a) How big is the distance in real life?
b) Convert the units from mm into a more reasonable unit.
scale factor = 20 000 map distance = 34 mm
34 mm x 20 000 = 680 000 mm
1 m = 1000 mm
680 000 / 1000 = 680m
If playing soccer burns 4.30 cal/kg/30min of exercise, calculate the amount of energy burned by a 67 kg person who plays a 90 minute game.
4.30 x 67 = 288.1cal/30min
30 min x 3 = 90 min so
288 x 3 = 864 cal total
Identify which of the following questions do not contain any bias.
Identify the words which make the other answers bias.
a) Do you feel the TV news shows only the negative side of life?
b) Do you prefer the look of the plush new lounge?
c) Do you think school BYO computer policies advantage certain students?
d) Do you prefer this delicious flavored milkshake or plain vanilla?
C is not bias.
a) only the negative
b) plush new
c) delicious vs plain
Harper sells beauty products, earning a commission of 20% of her sales. If she sold $7800 worth of products in March, calculate her earnings for that month.
20 / 100 = 0.2
0.2 x 7800 = $1560
Kye has just finished his English lesson. All lessons go for 90 min and the time is now 2:50 p.m. At what time did Kye’s lesson begin?
90 min = 1 hour and 30 min
2:50 - 30 min = 2:20 - 1 hour = 1:20pm
You measure the scale factor on the map and determine it to be
2.4 cm : 50 km
You measure the straight line distance from point A to B to be 8.3 cm.
How long is the distance in km?
Ibrahim ran west from his home for 45 min at a speed of 9.2 km/h.
a) Calculate the distance he must travel to get back home.
Due to being tired, on the way home his average speed is 7.6 km/h
b) How long will the return journey take him if he follows the same route home?
distance = speed x time
45 mins = 0.75 hours
0.75 x 9.2 = 6.9 km
time = distance / speed
6.9 / 7.6 = 0.90
0.90 x 60 = 54 mins
Joel asks 10 kids lined up at his club's kiosk if they like the food being sold at the kiosk. All 10 students say they like the food that is sold at the kiosk. Joel reports to the Kiosk Manager that 100% of kids at the club like the food sold at the kiosk.
a) Identify the issues that might arise from the sampling technique that Joel has used?
b) Identify the issues that could arise from the reporting of the data?
a) self selected sampling - they are in line already
b) they would not line up at the kiosk to buy something if they did not like it so it does not capture what the general population thinks about the kiosk
Summer knits beanies and scarves for a group of aged care centres. She is paid $8.50 per scarf and $6.00 per beanie that she knits. If Summer makes 55 scarves and 80 beanies, calculate her income.
$8.50 x 55 = $467.50
$6.00 x 80 = $480
total = $947.50
Lynn is catching a flight from South Australia to Queensland. Her flight is meant to depart Adelaide airport at 9:20 a.m., South Australian time, and to arrive at 12:05 p.m. Queensland time, where she is being picked up by her son.
South Australian time is 30 min behind Queensland time.
a) Determine the time in Adelaide when the flight is expected to arrive in Queensland.
b) Determine the length of the flight, taking the time difference between States into account.
12:05 pm - 5 min = 12pm - 25 min = 11:35am SA time
leaves 9:20 10 11 11:35 arrives
40 mins + 1 hour + 35 mins
total = 2 hours and 15 mins
Rob and Mary fly their small plane from Longreach to Birdsville for the annual races. Their plane flies at 320 km/h.
a) Estimate the time it will take Rob and Mary to fly from Longreach to Birdsville if they are determined to be 560km apart.
b) If the plane consumes 400 Litres per hour, determine the minimum amount of Litres required for their journey.
c) If plane fuel costs $1.20 per L how much will the journey cost Rob and Mary?
time = distance / speed
560 / 320 = 1.75 hours (1 hour 45 min)
400 x 1.75 = 700L
700 x 1.20 = $840
Leon, who weighs 86 kg, eats all of a 250 g block of chocolate, which has a nutritional label indicating 232 calories per 100 g. Use the information to calculate how long Leon will have to skip to burn the calories consumed.
Skipping burns 6.28 cal/kg/30min
choc has 232 / 100 x 250 = 580 cal
per min he burns 6.28 x 86 / 30 = 18 cal
580 / 18 = 32 minutes of skipping
A company sends an email to all its customers following an online purchase, asking them to complete a survey.
a) 46% of customers respond to the survey. Identify any issues with the sampling technique.
b) For the survey question ‘How satisfied are you with our service?’ customers could respond either ‘Very satisfied’ or ‘Somewhat satisfied’. Identify any issues with the survey procedures.
c) In a report to the shareholders, the company wrote that ‘100% of our customers are satisfied with our service’. Identify any issues with the interpretation of the results.
a) self - selected sampling - those with strong opinions will reply
b) customers cannot express that they are not satisfied
c) they did not report what percentage said somewhat but made generalizations