Fractions
Similarity
Probability
Area and Perimeter
Factors and Multiples
100
1/2 + 3/4 = ?
5/4 or 1 1/4
100
How are the perimeters of two similar figures related? Give an example.
The perimeter of the larger figure is the scale factor times the perimeter of the smaller figure.
100
25 balloons: 15 red, 3 yellow, 7 orange: What is the probability of choosing a yellow balloon?
3/25
100
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.
100
Find two factors of 76.
1, 2 38, 4, 19
200
2 - 2/5 = ?
8/5 or 1 3/5
200
How are the ares of two similar figures related? Give an example.
The area of the larger figure is the square of the scale factor time the area of the smaller figure.
200
25 balloons: 15 red, 3 yellow, 7 orange - What is the probability of NOT choosing a red balloon?
10/25
200
A juice can is about 2.25 inches in diameter. What is its circumference?
Approx. 7.07 inches
200
Find all the factors of 171.
1, 3, 57, 171
300
3/8 x 6/7 = ?
18/56 or 9/28
300
Rectangle A measures 3 inches by 5 inches. Find the measures of two similiar rectangles.
6 x 10, 9 x 15, 12 x 20, etc
300
25 balloons: 15 red, 3 yellow, 7 orange - What is the probability of getting a yellow or an orange balloon?
10/25
300
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!
300
Find the least common multiple for 35 and 175.
175
400
5/7 divided by 2 1/3 = ?
15/49
400
A figure is put in a copier using a copier size factor of 125%. What scale factor and ratio of similarity relate to the copy of the similar figure?
5/4
400
25 balloons: 15 red, 3 yellow, 7 orange - The number of the balloons is doubled. What happens to the probability of choosing a red balloon?
15/25 = 30/50, so the probability stays the same.
400
Draw two shapes with areas of 25 square units but different perimeters. Give the perimeter of each shape.
A 5 x 5 square has a perimeter of 20 units and an area of 25 square units. A 1 x 25 rectangle has an area of 25 square units, but a perimeter of 52 units.
400
Find the greatest prime number less than 112.
109
500
1 2/3 - 5/6 = ?
5/6
500
What is the minimum number of side and/or angle measurements needed to check the similarity of two triangles?
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.
500
25 balloons: 15 red, 3 yellow, 7 orange - How many ballons 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, 2 yellow and 3 oranges, 3 yellow and 2 oranges, 4 yellows and 1 oranges, 5 yellows, or 5 oranges
500
Find the rectangle with an area of 36 square units and whole-number side lengths that has the smallest perimeter possible.
6 x 6
500
Find the greatest common factor of 370, 222, and 148.
74
M
e
n
u