If each number in the set is doubled, what is the new mean?
A spinner is designed with different numbers in each sector. From the spinners A to D shown below:
Which spinner has the lowest probability of landing on the number 1 in a single spin?
Which spinner has a 50% probability of landing on the number 1 in a single spin?
List the spinners in order, from the most likely to land on the number 1 to the least likely.
One card is randomly selected from a standard deck of 52 playing cards. Find the probability that the selected card is:
red
black
a heart
an ace
a king
a red 7
Extended-response question:
A pack of playing cards includes 13 cards for each suit: hearts, diamonds, clubs, and spades. Each suit has an ace, king, queen, jack, 2, 3, 4, 5, 6, 7, 8, 9, and 10. One card is drawn at random from the pack. Find the following probabilities:
Pr(heart)
Pr(club)
Pr(diamond or spade)
Pr(ace of hearts)
Pr(number less than 4)
Pr(king)
Pr(ace or heart)
Pr(queen or club)
Polygons and transformations:
Name each of the following shapes
Find the value of a:
a: a° = 40°
b: a° = 50°, 85°
c: a° = 80°, 20°
Polygons and transformations:
For each of the following, find the value of every pronumeral:
a: a°
b: a° = 65°
c: a° = 65°, 80°, 100°
d: a°, b° = 110°, 70°
e: a° = 55°, 60°
f: a°, c°, d°, b° = 67°, 48°
State the coordinates of the vertices of the image triangle (A', B', and C') if triangle ABC is transformed in the following ways:
a: reflected in the x-axis
b: reflected in the y-axis
c: rotated about O(0, 0) by 90° clockwise
d: rotated about O(0, 0) by 90° anticlockwise
e: rotated about O(0, 0) by 180°
f: translated 4 units to the left and 1 unit up
g: translated 3 units to the left and 2 units down
Multiple-choice questions:
A survey asked 60 participants their favorite color. The results are shown below:
Blue: 12
Pink: 20
Green: 6
Purple: 12
Black: 10
If a divided bar graph 10 cm long is constructed to display the data, the length required for purple would be:
A: 12 cm
B: 2 cm
C: 1 cm
D: 5 cm
E: 3 cm
If the results are shown as a sector graph, the size of the smallest sector would be:
A: 36°
B: 6°
C: 10°
D: 60°
E: 30°
For the set of numbers 1, 5, 2, 10, 1, 6, the difference between the mode and median is:
A: 5.5
B: 2.5
C: 3.5
D: 3.2
E: 2
For the set of numbers 3, 2, 1, 5, 7, 3, 1, 3, the mean is:
A: 3
B: 5
C: 6
D: 22.375
E: 3.125
Which of the following sets of numbers has a mode of 3 and a mean of 2?
A: 1, 1, 2, 2, 3
B: 2, 2, 2, 4, 5
C: 1, 2, 3, 4, 5
D: 1, 3, 3, 3, 0
E: 1, 2, 3, 3, 3
Extended-response question:
Refer to the given Cartesian plane when answering these questions:
Name any point that lies in the first quadrant
Name any point(s) with a y-value of zero. Where does each point lie?
Which point has coordinates (-1, -2)?
Find the distance between points A and B, and D and E
What shape is formed by joining the points IDAG?
What is the area of IDAG?
ABXD are the vertices of a square. What are the coordinates of X?