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Lesson 1.7: Solve Problems Using Diagrams



 1. 

A circle with a radius of 5 cm is drawn within a square as shown in the diagram below. What is the length of one side of the square?

                      mc001-1.jpg
a.
10 cm
b.
14 cm
c.
12 cm
d.
15 cm
 

 2. 

What is the length, to the nearest centimetre, of the diagonal of the square from question 1?
a.
10 cm
b.
14 cm
c.
12 cm
d.
15 cm
 

 3. 

What is the area of the square from question 1?
a.
64 cm2
b.
25 cm2
c.
50 cm2
d.
100 cm2
 

 4. 

The area of a circle is determined by the equation A = pr2, where p = 3.14 and r is the radius of the circle. What is the area of the circle from question 1?
a.
78.5 cm2
b.
15.7 cm2
c.
58.7 cm2
d.
87.5 cm2
 

 5. 

An isosceles triangle is placed within a rectangle that measures 16 cm by 8 cm, as shown in the diagram. What are the lengths of the two equal sides of the yellow triangle, to the nearest centimetre?
                  mc005-1.jpg
a.
10 cm
b.
10 cm
c.
11 cm
d.
16 cm
 

 6. 

What is the perimeter of the triangle from question 5?
a.
36 cm
b.
38 cm
c.
32 cm
d.
42 cm
 

 7. 

The area of a triangle is determined by the equation mc007-1.jpg, where b is the base of the triangle and h is the height. What is the area of the yellow triangle from question 5?
a.
64 cm2
b.
128 cm2
c.
56 cm2
d.
81 cm2
 

 8. 

What is the area of one of the blue triangles from question 5?
a.
24 cm2
b.
48 cm2
c.
32 cm2
d.
64 cm2
 

 9. 

A photo with an area of 36 cm2 is placed within a frame with an area of 144 cm2. The width of the mat around the photo is uniform. What is the width of the mat around the photo?

                    mc009-1.jpg
a.
6 cm
b.
8 cm
c.
5 cm
d.
3 cm
 



 
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