Operations With Fractions
1/2 + 3/4
5/4 or 1 1/4
How are the perimeters of two similar figures related? Give an example
The perimeter of the larger figure is the product of the scale factor and the perimeter of the smaller figure. For example, if the scale factor is 2 the perimeter is twice the size of he 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, and the perimeter is 24 units.
Find two proper 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 product of the square of the scale factor of the area of the smaller figure. For example, if the scale factor is 3 the area of the larger figure is 32 or 9 times the size 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
A juice can is about 2.25 inches in diameter. What is its circumference?
Approximately 7.07in.
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 measure of two rectangles that are similar to rectangle A.
Possible Answer: 6in x 10in;
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
Draw two shapes with perimeters of 18 units but different areas. Give the area of each shape.
Possible answer: A 2x7 rectangle has a perimeter of 18 units and an area of 14 square units. A 4x5 rectangle has a perimeter of 18 units and an area of 20 square units.
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 enlargement factor of 125%. What is the scale factor, or ratio of similarity, of the copy to the original figure?
1.25 or 5/4
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 is the same because 15/25=30/50
Draw two shapes with areas of 25 square units but different perimeters. Give the perimeter of each shape.
Possible answer: A 5x5 square has an area of 25 square units and perimeter of 20 units. A 1x25 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?
A bag contains 25 balloons: 15 red, 3 yellow and 7 orange.
How many balloons of each color do you need to add to the original bag to make the probability of drawing a red balloon 1/2?
Add 1 yellow balloon and 4 orange balloons. This will make the probability 15/30, which is equal to 1/2.
Find the dimensions of a rectangle with an area of 36 square units and whole-number side lengths that has the least perimeter.
6x6
Find the greatest common factor of 370, 222, and 148
74