Download MPM1D Measurement and Geometry Test 1

MPM1D Grade 9
Measurement and Geometry Test 1
COM:
/10
K/U:
/9
APP:
/18
Thinking:
/9
COM LEVEL:
Show your work for full mark. Your communication mark will be
determined by how well you answer all of the questions: including
proper mathematical form, notation and narration (where appropriate)
Communication
Part A: Multiple Choice (1 mark each)
1. Which of the following is the mathematical term given to the
perimeter of a circle?
a) hemisphere b) sphere c) radius d) circumference
2. Which of the following is used to find the missing side of a right
triangle?
a) c = a + b b) c2 = a + b c) c2 = a2 + b2 d) P = a + b + c
3. To find how nuch sod you need to buy to cover your backyard, you
need to calculate:
a) rectangle b) perimeter c) area d) volume
4. To find the amount of fence you need to enclose a yard, you need to
calculate:
a) rectangle b) perimeter c) area d) volume
5. In a polygon with n sides, the formula for the sum of the interior
angles is
a) 180o(s – 2) b) 180o (n – 2) c) 180o (p – 2) d) 180o n
6. All regular polygons have
a) equal side lenths b) equal interior angles
c) both a) and b)
d) none of the above
7. The line joining the midpoints of two sides of a triangle is
a) parallel to the third side
b) ½ the length of the third side
c) equal in length to the third side d) both a) and b)
8. An obtuse angle is
a) less than 90o b) more than 90o
c) exactly 90o d) none of these
9. The sum of the interior angles of a pentagon is
a) 720o
b) 540o
c) 360o
d) 180o
10. The dimensions of the rectangle that will maximize the area with a
fixed perimeter will be
a) the same b) different c) none of the above d) both a) and b)
Knowledge and Understanding
1. Solve for the unknown angle (1 mark each)
a)
a = _____
b)
b = ____
c)
c = ______
d)
d = _______
e)
e = ______
f)
i = ____
2. Calculate the missing side length (accurate to 1 decimal place) [3
marks]
Application
3. Calculate the area for each figure.
a)
b)
4. Calculate the perimeter for the figures below (accurate to 1 decimal
place).
a) (3 marks)
b) (4 marks)
5. If each interior angle of a regular polygon measures 168o, how many
sides does the polygon have? (2 marks)
6. Give 3 properties of the midpoints and medians in triangles. (3 marks)
7. A contractor is adding a rectangular kindergarten playground to the
sides of a school. The second school will form one side of the rectangle.
The area of the playground is to be 72 m2.
a) Draw a diagram of the playground. (1 mark)
b) Complete the table and investigate possible rectangles with an area of
72 m2. (4 marks)
Rectangle
Width
Length
Area
Length of Fence Used
c) What dimensions use the minimum length of fence to enclose the
playground? (2 marks)
d) What is the minimum length of fence needed to enclose the
playground? (2 marks)