Algebra
A business charges $230 per year to supply water plus $5 per kilolitre as a usage charge. The annual cost is $C and number of kilolitres of water used is V. What formula should be used to calculate a customers annual cost?
C = 5V +230
Prez left his house at 1am and travelled 400km to his parents house. He arrived at 4:30am. Calculate his average speed to 1 decimal place.
114.29km/h
Maximum heart rate (MHR) is measured in BPM. To calculate use the formula 220- Age of person (in years).
Isobel is 16 years old. Calculate her MHR.
204
$3000 is invested at a simple interest rate of 4.2% p.a.
How much interest is earnt in the first 2 years?
$252
Identify the gradient and y-intercept of the line y=3x-4
Gradient =3
Y intercept = -4
Find the value of x if
3(x-1) = 9
x=4
Find the length of the short side of a right-angled triangle if its hypotenuse is 10cm and its other side is 6cm.
8cm
Calculate the best buy between;
Option 1: 36 chocolate bars for $66.60.
Option 2: 20 chocolate bars for $35.
Option 2
Sienna invests $2500 for two years. She earns 5%p.a., compounding monthly. Calculate the future value of her investment.
$2762.35
A 6-sided die is rolled twice. What is the probability of rolling a 2 twice in a row?
1/36
Using the formula d = 400-t2 , find the value of t when d = 175.
t=15
If a factory produces 600 bags in 8 hours. How long would it take in hours and minutes to produces 1300 bags?
17hr 20 min
Jasmine runs 100m in 10 seconds. Calculate her speed in kilometres per hour.
36km/h
What is the interest earned if $15720 is invested for 5 years, compounding yearly at 8%p.a?
$7377.84
Find the equation of a line (y=mx+c) if the gradient is 2 and it passes through the point (0,-3).
y=2x-3
Make x the subject of the following formula.
y=3x+4
x = (y-4)/3
38.25
Find the interquartile range of the following dataset.
2 3 14 6 21 20 16 8 11 24
14
Summer bought a truck for $120000 and 1 year later its depreciated value was $105600. It continues to depreciate at the same rate, using the declining balance method. What is the trucks value 4 years after it was purchased?
$71963
A car uses 78.2L to travel 850km. Calculate its fuel consumption.
9.2L/100km.
Solve the equation 25 + 6x = 2x +13
x = -3
The time zone in Sydney is UTC+10. The time zone in Bali is UTC+7. If a flight leaves Sydney at 11am and has a flight time of 5 hours. What time in Bali does it arrive?
1pm
Write the following number in standard form.
0.0000078
7.8x 10-6
Sianah has a gross income of $60000. Her allowable deductions include $250 laundry, $300 church donations and $1100 fuel allowance.
The medicare levy is 2% of her taxable income.
Calculate her medicare levy.
$1167
At as concert there were 8616 people. There was 7 girls for every 5 boys. How many girls were in the audience?
5026