Luttrell 2012
69
Name: ______________________
Date: _____
4m - Proportions
Show your work! Use a proportion to solve each problem. Calculator is allowed.
1.
3
5
15
=
x
2.
x
x
+
−
=
1
5
1
2
3.
x
x
+
=
8
2
3
4. The ratio of seniors to juniors is 2:3. If there are 21 juniors, how many seniors are there?
5. A 15-foot building casts a 9-foot shadow. How tall is a building that casts a 30-foot shadow
at the same time?
6. A photo that is 3 inches wide by 5 inches high was enlarged so that it is 12 inches wide. How
high is the enlargement?
7. Philip has been eating 2 hamburgers every 5 days. At that rate, how many hamburgers will he
eat in 30 days?
8. An architect wants to build a model of the structure he is making. The structure is 80 feet tall
and 35 feet wide. His model will be 50 cm wide. How tall will it be?
9. Draw a rectangle whose dimensions are 3 cm by 4 cm. Find its area and perimeter. Then
draw an enlarged rectangle whose dimensions are 9 cm by 12 cm. Find its area and perimeter.
How do those numbers relate to the scale factor between the two images?
The following is a review of shapes. You may use a calculator.
10. A right triangle has two sides of 5 and 12. What is the distance of the hypotenuse?
11. What is a 4-sided polygon called?
12. What is a 6-sided polygon called?
13. If two angles in a triangle are 30 and 45, what is the third angle?
14. What is a scalene triangle, isosceles triangle, and equilateral triangle?
What relationship is there between the angles and sides being equal?
15. Draw an example of a reflection, rotation, and translation. Label each drawing.
