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Grade 9 Midterm Review

Symmetry and Surface Area Rational Numbers Powers and Exponents Scale Factors and Similarity Intro to Polynomials
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
Final Question
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1.      The design shown is an example of rotation symmetry. What is the order of rotation

Star

View Answer

1.      The design shown is an example of rotation symmetry. What is the order of rotation

Star


Order of Rotation 5


1.      The image shown below is the flag of Canada. What types of line symmetry does the flag show?

Flag

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1.      The image shown below is the flag of Canada. What types of line symmetry does the flag show?

Flag


Vertical Line Symmetry


What is the angle of rotation of the rims in this figure?

Biohazard

View Answer

What is the angle of rotation of the rims in this figure?

Biohazard


The angle of Rotation is 120o


In the figure shown below, the hole in the front surface extends straight through the object. The total surface area of the figure is?  Use 3.14 for ∏.

Prism with Hole

View Answer

In the figure shown below, the hole in the front surface extends straight through the object. The total surface area of the figure is?  Use 3.14 for ∏.

Prism with Hole


SA = 97.85 cm2


What is the surface area of the following shape? Round to the Nearest tenth.

Triangular Prism

View Answer

What is the surface area of the following shape? Round to the Nearest tenth.

Triangular Prism


SA = 304.4 m2


11.  Which of the following sequences represents the numbers below written in ascending order?

Rational 1

View Answer

11.  Which of the following sequences represents the numbers below written in ascending order?

Rational 1


Rational 1 ans


What is the rational number represented by point C on the number line?

Numberline

A.     4.5

B.     0.8

C.     –0.8

D.    –3.2

View Answer

What is the rational number represented by point C on the number line?

Numberline

A.     4.5

B.     0.8

C.     –0.8

D.    –3.2


0.8


Evaluate the following using order of operations. Answer in fractional form.

Expression

View Answer

Evaluate the following using order of operations. Answer in fractional form.

Expression


Fraction


15.  Julia had 5/6 of a pizza left over from a party. She gave Brooke 2/5 of the leftover pizza. How much of the original pizza did Julia give to Brooke? Answer in fractional form.

View Answer

15.  Julia had 5/6 of a pizza left over from a party. She gave Brooke 2/5 of the leftover pizza. How much of the original pizza did Julia give to Brooke? Answer in fractional form.


Fraction


Tia travels from her home in Kelowna to visit a friend in Edmonton and back. The cost of a taxi from her home to the airport is $15.00 each way. The cost of her round-trip flight is $256.80. She stays at a hotel for three nights, at a cost of $87.20 per night. How much does Tia spend, in total, on her trip to the nearest dollar?

View Answer

Tia travels from her home in Kelowna to visit a friend in Edmonton and back. The cost of a taxi from her home to the airport is $15.00 each way. The cost of her round-trip flight is $256.80. She stays at a hotel for three nights, at a cost of $87.20 per night. How much does Tia spend, in total, on her trip to the nearest dollar?


She spent $548.40.


In professional baseball, the first base is a square with an area of 1444 cm2. What is the length of one side of the base?

View Answer

In professional baseball, the first base is a square with an area of 1444 cm2. What is the length of one side of the base?


The length of one side of the base is 38 cm.


Which power has the greatest value

(32)2, 46, (5)4, 210

View Answer

Which power has the greatest value

(32)2, 46, (5)4, 210


46 has the greatest value.


Express 72 x 74 as a single power.

View Answer

Express 72 x 74 as a single power.


76


What is the value of the following expression?

 Expression

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What is the value of the following expression?

 Expression


The answer is 2.


A colony has 500g of bacteria at the start.  It triples in size every 2.5 h. Determine the size of the colony after 10 h.

View Answer

A colony has 500g of bacteria at the start.  It triples in size every 2.5 h. Determine the size of the colony after 10 h.


The will be 40 500 bacteria in 10 hours.


An image with a scale of 8:3 means

  1. there are 8 units of the diagram for every unit of actual size
  2. there are 8 units of the diagram for every 3 units of the actual size
  3. there are 8 units of the actual object for every 3 units of the diagram
  4. there are 3 units of the diagram for every unit of the actual object
View Answer

An image with a scale of 8:3 means

  1. there are 8 units of the diagram for every unit of actual size
  2. there are 8 units of the diagram for every 3 units of the actual size
  3. there are 8 units of the actual object for every 3 units of the diagram
  4. there are 3 units of the diagram for every unit of the actual object

The correct anwser is B.

There are 8 units of the diagram for every 3 units of the actual size


A calculator is 32 cm long. The length of the calculator on a poster advertisement is 12 cm. What is the scale used?

  1. 3:6
  2. 3:8
  3. 6:8
  4. 6:3
View Answer

A calculator is 32 cm long. The length of the calculator on a poster advertisement is 12 cm. What is the scale used?

  1. 3:6
  2. 3:8
  3. 6:8
  4. 6:3

The correct answer is B

3:8


15.  Compare hexagon A to hexagon B. Hexagon A has

Shape

  1. angles that are smaller than the angles in hexagon B
  2. angles that are proportional to the angles in hexagon B
  3. angles that are larger than the angles in hexagon
  4. angles that are equal to the angles in hexagon B
View Answer

15.  Compare hexagon A to hexagon B. Hexagon A has

Shape

  1. angles that are smaller than the angles in hexagon B
  2. angles that are proportional to the angles in hexagon B
  3. angles that are larger than the angles in hexagon
  4. angles that are equal to the angles in hexagon B

The correct answer is D.

Angles that are equal to the angles in hexagon B


The scale factor for the reduction of the polygon below is?  

Scale Images

View Answer

The scale factor for the reduction of the polygon below is?  

Scale Images


The answer is 0.5 or 1/2


The scale diagram of a basketball court uses a scale of 1:28. The length of the court measures 2 m in the diagram. What is the actual length of the court, in metres?  

View Answer

The scale diagram of a basketball court uses a scale of 1:28. The length of the court measures 2 m in the diagram. What is the actual length of the court, in metres?  


The actual length of the court is 56 m.


How many terms are there in the polynomial 4x2 + 3x - 5?

View Answer

How many terms are there in the polynomial 4x2 + 3x - 5?


The answer is 3


Which polynomial is represented by the following model?

Algebra Tiles

View Answer

Which polynomial is represented by the following model?

Algebra Tiles


The answer is

x2 - 5x + 3


15.  An equivalent expression for the polynomial 

4r2 + 3rs + s2 -2 - 2s2 - 2r2 - 2rs + 5 - 4rs + 3 

would be? (Hint: Simplify)

View Answer

15.  An equivalent expression for the polynomial 

4r2 + 3rs + s2 -2 - 2s2 - 2r2 - 2rs + 5 - 4rs + 3 

would be? (Hint: Simplify)


The answer is

2r2 - s2 - 3rs + 6


Add the following Polynomials.

(3k4 - 2k3 + k) + (3k3 - k2 + 3k) + (6 + 3k2 - 2k)

View Answer

Add the following Polynomials.

(3k4 - 2k3 + k) + (3k3 - k2 + 3k) + (6 + 3k2 - 2k)


The answer is

3k4 + k3 + 2k2 -2k + 6


Solve the following.  What is  the numerical coefficient in front of the x2 term? 

(5x2 - 4x + 5) - (3x2 - 2x + 4)

View Answer

Solve the following.  What is  the numerical coefficient in front of the x2 term? 

(5x2 - 4x + 5) - (3x2 - 2x + 4)


The answer is 2


What is the surface area of the entire house below?  Include the walls, both sides of the roof, the floor, doors, and windows.  Express your answer to the nearest tenth of a square metre.

House Surface Area


View Answer

What is the surface area of the entire house below?  Include the walls, both sides of the roof, the floor, doors, and windows.  Express your answer to the nearest tenth of a square metre.

House Surface Area


The total surface area for the house is 531.4 m2.





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