Trigonometry
Reasoning
Quadratic Functions
Factoring
Radicals
Statistics
100
What is the name of the longest side in a right angled triangle?
Hypotenuse
100
All animals are mammals.
Give a counterexample to the above statement.
Answers may vary.
Eg: Fish
100
What degree is a quadratic function?
2
100
Factor the following:
2x - 4
2(x-2)
100
Rewrite the following as a mixed radical
sqrt(80)
4sqrt5
100
Calculate the mean of the following numbers:
7, 3, 34, 11, 9, 6, 9
11.29
200
Tom is 20m away from a tree. The angle of elevation from Tom to the tree is 56 degrees. How tall is the tree?
29.65
200
State a conjecture for the following set of data:
0, 0, 1, 0, 2, 0, 3, 0, 4, 0, ...
The numbers alternate between the numbers increasing by one and the number zero.
200
How many zeros does
f(x) = (x-c)^2
have?
1
200
Factor the following:
x^2-6x+9
(x-3)(x-3)
200
Simplify the following:
sqrt3+sqrt48
5sqrt3
200
The mean of a math test was 65% with a standard deviation of 5%. Angelina scored a 82%. What was the z-score of Angelina's mark?
3.4
300
Find side a
21.1 cm
300
All crows are black. All black birds are loud. All crows are birds.
Statement: All crows are loud.
Is the above statement true?
Yes
300
Determine the domain and range of the following function.
y = -2(x+3)^2+7
D = { x | x ∈ R }
R = { y | y ≤ 7, y ∈ R }
300
Factor the following:
4x^2-25
(2x-5)(2x+5)
300
Rationalize the denominator:
sqrt(3/8)
(sqrt6)/2
300
What percentage of data falls within ± 2 standard deviations of the mean?
95%
400
Find side f
8.0 units
400
How many sides does a polygon with the sum of its interior angles equaling 720° have?
6
400
Write a quadratic equation for the following scenario:
A small movie theatre sells tickets for $15. At this price, the theatre sells 200 tickets every show. The owners know from past years that they will sell 8 more tickets per show for each price decrease of $0.50.
P(x) = (200+8x)(15-0.5x)
400
Solve the following equation:
2x^2-20x-48=0
x=12, x=-2
400
State any restrictions on the denominator and divide.
sqrt(24x^3)/sqrt(8x)
x > 0
sqrt(3) x
400
The mass of golf balls produced at a factory is 45.6 grams ± 0.3 grams. The results are accurate 24 times out of 25.
Determine the confidence interval, margin of error, and confidence level.
Confidence interval: (45.3, 45.9)
Margin of error: ± 0.3
Confidence level: 96%
500
Ship A leaves port and travels 34km, while ship B leaves the same port and travels 54km. If the angle between the two ships is 56 degrees, how far apart are the two ships?
44.9 km
500
Are the following triangles congruent?
No
500
A graph has x-intercepts (4, 0) and (-1, 0) and it has a y-intercept (0, -16). Find an equation to represent this graph.
y = 4(x-4)(x+1)
500
Solve the following equation:
2x^2-7x-4=0
x=4, x=-1/2
500
Solve the following equation:
sqrt(2x+3)=4
x=13/2
500
For a certain toaster company, its mean life is 4.2 years and the standard deviation is 0.65 years. How many years should the warranty be offered for if the company does not want to replace more than 8% of the toasters?
3.29