Math 9 LG 15 Practice Unit Test #3

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

A field is 0.225 km long. What is a more appropriate unit for this measurement?

a.	22 500 cm	c.	225 m
b.	8865 in	d.	225 000 mm

Use this star figure to answer the following question(s).

Which star figure below best represents the original star with a scale factor of 60%? Each square in all grids represents one square unit.

a.		c.
b.		d.

Which star figure below best represents the original star with a scale factor of 80%? Each square in all grids represents one square unit.

a.		c.
b.		d.

A scale factor less than 1 indicates __________.

a.	that the image is a different shape than the actual object	c.	that the image is the same size as the actual object
b.	that the image is an enlargement of the actual object	d.	that the image is a reduction of the actual object

What scale factor is used to enlarge the letter on the left?

a.	6.0	c.	7.0
b.	3.5	d.	8.0

In a photo, the length of a model car is 30 cm. The photo is a 1:5.5 reduction. Determine the length of the car in the photo reduction.

a.	330 cm	c.	5.5 cm
b.	71 cm	d.	35.5 cm

A pencil has a diameter of 9 mm. A scale diagram of the pencil has a diameter of 2.7 cm. Determine the scale factor of the diagram.

a.		c.	30
b.	3	d.	0.3

The scale diagram below shows a cross-section of a pipe. The scale of the diagram is 1:4. What is the inside diameter of the actual pipe?

Diagram not drawn to scale

a.	20 cm	c.	6 cm
b.	2.5 cm	d.	24 cm

A farmer sketched the following layout of a field. He wants to develop a scale drawing of the field in which 1 cm on the diagram represents 5 m of actual distance. The pipeline runs across the diagonal of the field. Approximately how long will the line that represents the pipeline be in the scale diagram?

a.	500.0 cm	c.	14.1 cm
b.	10.0 cm	d.	5.0 cm

10.

What scale must be applied to make equilateral triangle JKL from equilateral triangle RST?

a.	4:1	c.	1:8
b.	1:4	d.	8:1

11.

A group of students are surveyed to determine their favourite sport. They are surveyed as they leave the gym after a basketball game. This is an example of

a.	bias	c.	inappropriate use of language
b.	poor timing	d.	cultural insensitivity

12.

A survey asks respondents, “Which of these four religions is the best?” This is an example of

a.	poor timing	c.	bias
b.	inappropriate use of language	d.	cultural insensitivity

13.

A stratified sample is created by

a.	choosing respondents from the population who are easy to access	c.	dividing the population into groups and then choosing the same percent of respondents from each group
b.	inviting the whole population to participate	d.	choosing respondents from the population at random

Use the information provided to answer the following question(s).

Ms. Jenkins gave her class a quiz worth 15 points. After marking the first 4 quizzes, she predicted that the class would not do well on the test. The quiz scores are shown below.

6	6	9	8	12
12	13	15	9	11
11	12	8	15	9
10	14	12	15	11
7	9	4	6	9
12	12	14	10	11

14.

What is the mode score for the entire class?

a.	11.0	c.	10.4
b.	12.0	d.	13.1

15.

One reason the pictograph is difficult to interpret is because

a.	there are too many images representing beans and carrots	c.	there are too many images of carrots
b.	the images of the snow peas are too far apart	d.	the images of the broccoli are unclear

Short Answer

Write your answer in the space provided.

16.

In a drafting class, students must create reductions of actual objects for technical diagrams. Jim wants to use a scale factor of 0.25 to draw a machine part. If the actual object has a width of 96 cm, what should the width of his drawing be?

17.

You have been asked to design new coasters for use in the community hall. The coasters are to be hexagonal in shape. They need to be 7 cm across between any two opposite sides. Create a scale drawing of your design, using a scale factor of

18.

The scale diagram of a basketball court uses a scale of 1:280. The length of the court measures 10 cm in the diagram. What is the actual length of the court, in metres?

19.

Robin is interested in identifying the most popular lunch specials in the school cafeteria. She asks a random selection of students: “Why don’t you like the lunch specials?” What influencing factor is present in this survey? Explain.

20.

You have been hired to develop Arctic adventure tours. Develop three survey questions to help determine the activities that appeal to tourists.

Problem

Write your answer in the space provided.

21.

An observer stands 28 m from the door of a house, and 3.9 m from the street. The observer is 1.3 m tall. Calculate the height of the house.

Diagram not drawn to scale

22.

Examine the diagram below. What is the height of the building?

Diagram not drawn to scale

23.

Create a new image from the one below. Apply a scale factor of 0.625 and a 180° clockwise rotation.

24.

For each situation, identify and describe any factors that may influence the collection of data.
a) The coach of a baseball team needs drivers with good safety records to transport players to tournaments. She asks each parent at a parent meeting if they had any traffic violations in the last six months.
b) An information package and survey are mailed to 3000 residents about a proposal to improve the gardens in the local park. The cost to print and mail each survey is $10.

25.

A city council wants to survey residents about building a new water treatment plant. For each survey:
• Identify the type of sample.
• Describe how the survey could be set up.
• Explain whether the results would accurately represent the population.
a) The council plans to survey 1000 residents. The city has 50 000 residents who own their home, 10 000 residents who own their condominium, 30 000 residents who rent apartments, and 10 000 residents who rent homes.
b) A councillor plans to survey all the residents who own homes in her area of the city.