Simple Interest
If you invest $200 at a simple interest rate of 5% per year for 1 year, how much interest do you earn?
I=10
A savings account has $300 invested at 5% compound interest for 1 year. What is the total amount after 1 year?
A=$315
Find the gradient of a line that goes up 2 units for every 1 unit across.
m=2
What does bivariate data mean?
Data involving two variables
Two triangles have all their corresponding angles equal.
What can we say about these triangles?
They are similar triangles.
Calculate the simple interest on $500 at 8% per year for 2 years.
I=80
You invest $400 at 10% compound interest for 2 years. How much interest is earned?
I=$84
Find the gradient of the line through the points (1,2) and (3,6).
2
A researcher records students’ hours of study per week and their maths test scores.
Which is the independent variable and which is the dependent variable?
✅ Independent: hours of study
✅ Dependent: maths test scores
Two similar triangles have a side ratio of 1 : 3.
If the shorter triangle has a side of 4 cm, what is the length of the corresponding side in the larger triangle?
12cm
How much total amount (principal + interest) will you have after 3 years if you invest $1,000 at a simple interest rate of 6% per year?
A=1180
Find the total amount after 2 years if $1,000 is invested at 6% compound interest, compounded fortnightly
$1,127.50
Find the gradient of the line through the points (2,5) and (6,−3).
-2
A scatterplot shows that as the number of hours spent exercising increases, a person’s resting heart rate decreases.
What type of correlation is this?
Negative correlation
In two similar triangles, the sides are in the ratio 2 : 5.
If a side in the smaller triangle is 6 cm, what is the corresponding side in the larger triangle?
15cm
You invested money at a simple interest rate of 10% per year. After 5 years, you earned $2,000 in interest. What was the principal you invested?
P=$4000
A deposit of $1,200 grows with 8% compound interest, compounded monthly, for 3 years. What is the interest earned?
$324.24
Find the gradient of the line through the points (3,7) and (9,11)
2/3
A scatterplot shows that as the outside temperature increases, the number of cold drinks sold at the beach also increases.
What type of correlation is this?
Positive correlation
A map uses a scale of 1 : 200.
On the map, the distance between two towns is 7.5 cm.
What is the actual distance in real life?
15m
A loan of $1,200 was taken with simple interest. After 4 years, the total amount paid back was $1,680. What was the interest rate per year?
R=10%
An investor places $2,500 in an account earning 12% compound interest, compounded quarterly, for 5 years. What is the total amount?
$4,515.25
A council is designing a new walking path up a hill for a community park.
The hilltop lookout is 45 metres higher than the base.
The path stretches 360 metres horizontally from start to finish.
What is the gradient of the path?
1/8
A scatterplot shows no clear upward or downward trend between students’ shoe size and their exam results.
What type of correlation is this?
No correlation
A model of a skyscraper is built to a scale of 1 : 500.
On the model, the height of the building is measured to be 65 cm.
What is the actual height of the real skyscraper in metres?
325 metres tall