Exam and Summative Review
Quadratics
Number of Cars Washed
1a. Approximately, what is the maximum profit possible?
b. How many cars need to be washed in order to make at this profit?
c. If the committee wants to make a $1000 profit, how many cars need to be washed?
d. How many cars need to be washed in order for the committee to “break even”?
e. Approximately, how much money does the committee need to earn before they start making a
profit?
2. Michael kicks a football ball in the air which follows the path shown in the graph below.
a. What is the maximum height of the football?
b. How long does it take for the football to reach its maximum height?
c. How long does it take for the football to return to the ground?
Statistics
11, 12, 21, 21, 22, 13, 14, 24
1. Find the mean, median, mode, range and standard deviation for the set of data above.
2. Describe a histogram? Name and describe the 4 types of histograms?
3. What is a stratified sample? What is a population
Probability
1. What is the theoretical probability in lowest terms of rolling the sum of 6?
2. What is the theoretical probability in lowest terms of rolling a sum greater than 9?
3. What is the theoretical probability of NOT rolling a sum of 4 or 5?
4. What is the difference between experimental probability and theoretical probability of an event?
5. There is a 60% probability that it will snow tomorrow, write this as a decimal and a fraction in
lowest terms?
6. A tile is drawn at random from a box containing 15 red, 27 green, 4 yellow and 10 blue tiles. What
is the probability of each the following;
a. What is the probability of choosing a blue tile?
b. What is the probability of choosing a red and green tile?
Trigonometry
1. What should you use to solve for side a in the triangle shown. ____________________
Explain.
2. Solve for side a
2. A 10m ladder is placed against a building. The foot of the ladder is 4.5m away from the building.
What is the angle of measure between the foot of the ladder and the ground, to the nearest
degree? Include a diagram.
3. Solve the triangle completely. Make sure to show all your work.
A
a = __________
60
‫ے‬B = __________
12 cm
21 cm
‫ے‬C = __________
B
C
Exponential
The graph below shows the projected value of a car over the next 10 years.
1. What kind of relationship is shown?
2. How much was the cost of the car when purchased?
3. How much is the car worth after 4 years?
4. What percent of the value of the car is depreciating each year?
5. What is the difference between simple and compound interest investments? Where you would
rather put your money? Justify.
6. List one advantages and one disadvantages of owning, or leasing a vehicle.
7. List advantages and disadvantages of buying a new versus a used vehicle.
8. Apply the exponent rules to the following

×
9. Sketch and label the relations below, use the table of values to find exact points [4]
x
y2
x
x
and
y
1
y  .
4
x
-2
-2
-1
-1
0
0
1
1
2
2
y
Which graph represents exponential growth?
Which graph represents exponential decay?
Describe one similarity between the two graphs.
Financial
1. An Investment 𝐴 = 1000(1 + 0.025)
What is the principal of the investment?
What is the annual interest rate of this RRSP?
What is the amount in the RRSP after 5.5 years?
2. Using the TVM app on the EZ calculators (financial calculator) (on ipad or phone), answer the
following –
What is the future value (amount) of $4500 invested at 2.8% interest per year, compounded
semi- annually for 10 years?
What is the present value (principal) if $3000 is needed in 6 years and it is invested at 4.2% interest
per year, compounded monthly?
3. You have decided to purchase a new laptop. To do so, you must use your credit card to pay the
$1000 purchase price. The credit card company charges interest at a rate of 18.5% per year,
compounded monthly.
a) What is the total amount you end up paying for the laptop if it takes you two years to pay
your card off?
b) How much interest will you have to pay when you pay off the loan in two years?