Fractions
5/4 or 1 1/4
How are the perimeters of two similar figures related?
The perimeter of the larger is the scale factor times the perimeter of the smaller figure.
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
What is the theoretical probability of choosing a yellow balloon?
3/25
A square has a side length of 6 units. Find the area and perimeter.
The area is 36 square units.
The perimeter is 24 units.
Find two factors of 76.
Two of this set: 1, 2, 38, 4, 19
2 - 2/5
8/5 or 1 3/5
How are the areas of two similar figures related?
The area of the larger figure is the square of the scale factor times the area of the smaller figure
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
What is the probability of not choosing a red balloon?
10/25 or 2/5
A juice can is about 2.25 inches in diameter. What is its circumference?
Approximately 7.07 in.
Find all the factors of 171.
1, 3, 57, 171
3/8 x 6/7
18/56 or 9/28
Rectangle A measures 3 inches by 5 inches. Find the measures of two similar rectangles.
6 x 10,
9 x 15
12 x 20
etc.
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
What is the theoretical probability of getting a yellow or an orange balloon?
10/25 or 2/5
Draw two shapes with perimeters of 18 units but different areas. Give the area of each shape.
A 2 x 7 rectangle has a perimeter of 18 units and an area of 14 square units.
A 4 x 5 rectangle has a perimeter of
18 units and an area of 20 square units.
Any rectangle whose length and width add to 9 units will work.
Find the least common multiple for 35 and 175.
175
1 2/3 - 5/6
5/6
A figure is put in a copier using a copier size factor of 125%. What scale factor relates the copy to the original figure?
5/4 or 1 1/4
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
The number of balloons of each color is doubled. What happens to the probability of choosing a red balloon?
The probability stays the same.
15/25 = 30/50
Draw two shapes with areas of 25 square units but different perimeters. Give the perimeter of each shape.
A 5 x 5 square has an area of 25 square units and a perimeter of 20 units.
A 1 x 25 rectangle has an area of 25 square units, but a perimeter of 52 units.
Find the greatest prime number less than 112.
109
5/7 divided by 2 1/3
15/49
What is the minimum number of side and/or angle measurements needed to check the similarity of two triangles?
Two angles and three sides.
If two corresponding angles have the same measure, the third angles will have the same measure and the triangles will be similar.
If all three pairs of corresponding sides have the same ratio, the triangles are similar.
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
How many balloons of each color would you need to add to the original bag to make the probability of drawing a red balloon 1/2
Some possibilities: Add 1 yellow and 4 oranges, or 2 yellows and 3 oranges, or 3 yellows and 2 oranges, or 4 yellows and 1 orange, or 5 yellows, or 5 oranges.
Find the rectangle with an area of 36 square units and whole-number side lengths that has the smallest perimeter possible.
Find the greatest common factor of 370, 222, and 148.
74