Ratio & Sample Space
Area of a Triangle and Rectangular Area
Proportions
Angles
Wild Card
100
In a class of 28 students, there are 12 boys. What is the boy-girl ration?
12/16 or 12:16 reduces to 3/4 or 3:4
100
What is the base and height of a triangle?
Base - one of the sides of the triangle Height - the perpendicular distance between the base and the opposite vertex of the triangle
100
What is a proportion?
A statement that two ratios are equal
100
What are adjacent angles?
Angles that share a common side
100
Five kilometers is how many meters?
5000 meters (one kilometer is 1000 meters)
200
The team won 4/7 of its games and lost the rest. What was the team’s win-loss ratio?
4 to 3 or 4:3 or 4/3
200
What is the formula for the area of a triangle?
1/2 bh or bh/2
200
How do we find a cross product?
Multiply the upper term of one ration by the lower term of the other ratio.
200
What are supplementary angles?
Two angles whose measurements when added together equal 180 degrees
200
3/4 divided by 2/5
1 7/8 (multiply 3/4 by the reciprocal of 2/5)
300
There are red marbles and green marbles in the bag. If the ratio of red marbles to green marbles is 4 to 5, what fraction of the total number of marbles is red?
4/9
300
Find the area of a triangle that has a base of 5 cm and a height of 4 cm.
10 cm square
300
Using proportions and cross products solve: Mia can read 12 pages in 20 minutes. At that rate, how many pages can she read in 30 minutes?
n = 18
300
What are complementary angles?
Two angles whose measurements when added together equal 90 degrees
300
Simplify: 4 to the second power - 2 to the third power
8
400
What is the sample space for flipping a coin and rolling a number cube?
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
400
A 4 in. by 4 in. square was cut from a 10 in. by 12 in. sheet of construction paper. What is the area of the hexagon that remains?
120 − 16 = 104 inches square (4x4 = 16) (10x12 = 120)
400
Solve: 15/x = 20/32
(20x = 480) x = 24
400
What are vertical angles?
A pair of nonadjacent angles formed by a pair of intersecting lines
400
Movie tickets cost $8 each. The total ticket sales were $960. How many tickets were sold?
960/8 = 120 tickets
500
What is the fundamental counting principal?
If there are M ways for A to occur and N ways for B to occur then there are M x N ways for A and B to occur together.
500
A 5 in. by 6 in. rectangle is cut from a piece of carpet that measures 20 in. by 15 in. What is the area of the remaining piece?
300 − 30 = 270 inches square (5x6 = 30) (20x15 = 300)
500
What are the two steps for using cross products to find the missing terms in proportions?
Step 1: Find the cross products Step 2: Divide the known product by the known factor
500
If you add the measures of all three angles in any triangle what will your total be?
180 degrees
500
Round this number to three decimal places: 45.67923
45.679
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