Math 7 Unit 4 Test
January 28th, 2011
Name: _____________
Part 1: Multiple Choice: Place the letter of the correct response in the space to the right of
the question. (7 marks)
1. The radius of a circle with a diameter of 10cm is (?) cm.
(a)
20cm (b)
5 cm
(c) 100 cm
(d) 31.4cm
1.__________
2. A parallelogram has an area of 8 cm 2 . What is the area of a
triangle with the same base and height as the parallelogram?
(a)
4 cm 2
(b)
16 cm 2 (c) 64 cm 2
(d) 12 cm 2
2.__________
3. A circle has a radius of 10 cm. What is the area of the circle?
(a)
62.8 cm 2 (b) 31.4 cm 2 (c) 246.29 cm 2 (d) 314 cm 2
3.__________
4. A rectangle and a parallelogram have the same base and height.
If the area of the rectangle is 9 m 2 then the area of the parallelogram is (?) m 2 .
(a)
4.5 m 2
(b) 81 m 2 (c)
9 m2
(d) 27 m 2
4.__________
5. If the diameter of a circle is 12cm, which below is the best
estimate of the circumference?
(a)
12cm (b)
24cm (c)
36cm (d)
144cm
5.__________
6. A circle has a diameter of 5 cm.
The circumference of the circle is (?).
(a)
31.4 cm (b) 31.4 cm 2 (c) 15.7 cm (d) 15.7 cm 2
6.__________
7. The distance from the center of a circle to its circumference is
called the:
(a).
area (b). diameter (c). perimeter (d) radius
7.__________
Part 2: Fill in the blanks: Place the correct response in the space to the right. (7 marks)
1. For a parallelogram and triangle the distance around the outside
edge of the figure is called the perimeter.
The distance around the outside edge of a circle is called the (?). 1.__________
2. If the area of a rectangle is 24cm2 and the width is 4cm, find the
length.
3. The ratio of the circumference of any circle
divided by its diameter is always (?).
2.__________
3.__________
4. If the height of a triangle is 10cm and the base is 12cm, find the
area of the triangle.
4.__________
5. If the circumference of a circle is 6.28cm, find the radius.
5.__________
6. Find the area of a square with a side length of 6cm.
6.__________
7.
Find the base of a triangle if its Height is 12cm and the
area is 24cm. squared.
7.__________
8. Calculate the area of each figure. Show your workings.
A.
B.
16 cm
(6 marks)
C.
10 cm
18 m
24 m
18 cm
Part 3: Complete each of the following questions.
1. a) Construct using a compass and straightedge, a circle with a diameter of 6cm.
(Two marks.)
b) Calculate the area of the circle. (Two marks.)
2. A survey of 200 grade 7 students as to their favorite subject produced the graph below.
[4 pts]
Grade 7 Students
Favorite Subject
A. Which subject was the favorite for about ¼ of the students?
B. Which two subjects combined was the favorite of ½ of
the students?
C. How many students said Math was their favorite subject?
Math
30%
ELA
20%
Science
15%
Social
Studies
12%
Phys Ed
23%
3. A survey of 50 grade 7 students as to their favorite activity produced the results in the
table. Complete the table and construct a circle graph. Don’t forget a title.
[6 pts]
Favorite
extracurricular
activity
Music
Frequency(Students
choosing activity)
Fraction
Percent
Percent as an
angle measure.
%  360 0
9
Hockey
15
Dance
9
Martial Arts
17
Total
Title:_____________________________________
Part 4: Solving problems.
You may use your calculator to carry out your calculations but you must clearly
show your workings. Write a final statement that includes the correct
measurement units.
4. A circular tablecloth has a diameter of 1.2 meters. The designer wants to put a
decorative fringe around the edge of the tablecloth.
[4 pts]
A. How much fringe will be needed?
B. If fringe cost $2.83 per meter, how much would it cost to buy enough fringe for
the tablecloth?