Download Name___________________________Date___________Period

Geometry Ratio Problems 7.1
Clearly show all work. Utilize your algebra
skills! No miscellaneous arithmetic!
Solve each proportion for x.
3 x 10

_____1. 6
2
x2 4

_____3. x  5
7
x 3 7

_____2.
6
2
In 2015, the New England Patriots won 12 of their 16
regular season games, and the New York Giants won 6
of their 10 regular season games.
4.
Find the ratio of wins to losses for the Patriots.
5.
Find the ratio of losses to total games for Giants.
6. The angles of a triangle are in the ratio of
2 : 3 : 4.Find the measure of the smallest angle.
7. The scale on a map is 1 inch = 275 miles. How
many miles apart are two cities if they are 3.5 inches
apart on the map?
8. A recipe calls for 3.5 pounds of butter for every 20
pounds of sugar. How much butter is needed for 60
pounds of sugar?
9. Gino’s Giant Pizza serves circular pizzas in two
sizes. The small 12 inch diameter pizza feeds 4
people. The super-duper-gigantic pizza has a 36 inch
diameter. How many people will it serve?
10. The two acute angles of a right triangle are in the
ratio of 8:7. Find the measure of each angle.
11. The measure of two complementary angles are in
the ratio 5 : 7. Find the measure of the larger of the
acute angles.
12. The vertex angle and a base angle of an isosceles
triangle have a ratio of 3 : 6. Find the measure of the
vertex angle and the measure of each base angle.
13. One angle of a triangle measures 18. The other
two angles are in the ratio of 4:5. Find the measures of
the two unknown angles.
14. The sides of a triangle have a ratio of 7:9:12. The
perimeter of the triangle is 420. Find the length of each
side.
15. The ratio of the side lengths of ABC
(AB : AC : BC) is 4: 5: 7. Solve for x.
C
x
B
25
x + 25
A
16. Two consecutive angles of a parallelogram are in
the ratio of 7:3. Find the measure of each angle.
17.
The angles of a quadrilateral have the ratio of
2:5:5:6. Find the measure of each angle.
18. The angles of a pentagon have the ratio of
7: 6 : 5 : 5 : 4. Find the measure of each angle.
19. Two angles of a quadrilateral are 75 and 35. The
other angles have the ratio of 14:11. Find the
measures of the remaining two angles.
20. One angle of a hexagon is 120. The other
angles are the ratio of 11:9:8:7:5. Find the
measures of the remaining angles.