Math 8 Final Exam

Math 8 Final Instructions

> You may use a calculator.

> Please round all numbers to two decimals when needed (example: 4.25679 would be 4.25 or 4.26)

> You may use a one-sided prepared formula or "cheat" sheet

> Please use scrap paper to show your work - write your name at the top

>> After submission, you are encouraged to quietly and interdependently make corrections on scrap paper labeling the question numbers and any mistakes. These corrections will be accepted as long as you've completed the appropriate sections of the review package.

> Before you start, please hand in your review package (completed or not)

> You may chew bubble gum, but must throw it out after the exam.

> You may not leave after you are done the exam. Please stay quietly at your desk until the time has elapsed.

> You will have 1.5 hours (90 minutes) to complete the 76 questions in this exam.

RELAX, do your best. Skip what you don't know and go back to it afterwards. Good luck!

SECTION 1: Squares, Square Roots, Pythagoras Theorem

1

Solve. Give your answer to two decimal places where needed.

1

Solve. Give your answer to two decimal places where needed.

1

Solve. Give your answer to two decimal places where needed.

1

Solve. Give your answer to two decimal places where needed.

1

Solve. Give your answer to two decimal places where needed.

1

A square table has a perimeter of 32 cm. What is the area of the tabletop? **(hint: draw a diagram to help you)*

1

What is the area of the square ABCD?

1

What is the length of the line segment AB?

1

If the area of square A is 9 cm² and the area of square B is 15 cm², what is the area of square C if the squares are around a right triangle? Square C area= ________ cm² (do not include units, give your answer to two decimal places where needed)

1

Find the length of the side labelled with a variable. Solve. h= ______ cm. (do not include units, give your answer to two decimal places where needed)

1

Find the length of the side labelled with a variable. Solve. l = ______ cm. (do not include units, give your answer to two decimal places where needed)

1

Find the missing number in this Pythagorean Triple.

1

A parking garage at the hospital has ramps from one level to the next. How long is each ramp? (do not include units, give your answer to two decimal places where needed)

SECTION 2: Integers and Order of Operations

(when answers are positive, just use the number 2 when negative, use negative sign -2 )

1

Solve.

1

Solve.

1

Solve.

1

Solve.

1

Solve.

1

Solve.

1

Solve.

1

Solve.

1

The temperature on Sunday was 4^oC. The temperature dropped 8^oC on Monday and dropped twice as much on Tuesday. What was the temperature on Tuesday? (just put the integer, do not include units ^oC)

1

Which multiplication equation is best described by the following model:

(+2) x (-10) = -5

(+5) x (-2) = -10

(+2) x (-5) = +10

(-10) x (-2) = +5

1

Which multiplication equation is best described by the following model:

(+3) x (-5) = -10

(-5) x (-3) = -15

(+15) x (-3) = +5

(+5) x (-3) = -15

1

Which multiplication equation is best described by the following model:

(+4) x (-2) = -16

(+4) x (-2) = +8

(-4) x (+2) = -8

(+2) x (+4) = -8

SECTION 3: Multiplying and Dividing Fractions

Answers must be given in SIMPLEST FORM to be correct. Example format: 2/3

1

Find the product.

1

Find the product.

1

Find the quotient.

1

Find the quotient.

1

Find the product.

1

Find the quotient.

1

Three-fifths of the Grade 8 class are in the band. On Tuesday, only 1/3 of these students went to band practice. What fraction of the class went to band practice on Tuesday? (hint: multiply the fractions)

1

Solve.

1

Solve.

SECTION 4: Surface Area and Volume

(do not include units in your short response. Just include the number)

1

The net of a rectangular prism is shown. What is the surface area of the object? (do not include units; cm²)

1

The net of a triangular prism is shown. What is the surface area of the object? (do not include units; cm²)

1

The net of a cylinder is shown. What is the surface area of the object? (do not include units; cm²)

1

What is the surface area of the object this net would form?

1

The base area and height of the prism is given. What is the volume? (do not include units; cm³)

1

Which response shows the volume of the triangular prism?

1.53125 m³

3.0625 m³

6.125 m³

18.5 m³

1

Which response shows the volume of the rectangular prism?

672 m³

766 m³

1216 cm³

1344 cm³

1

Which response shows the volume of the cylinder?

40 m³

125.6 m³

251.2 cm³

502.4 cm3

SECTION 5: Percents, Rates and Ratios

When applicable, round each answer to the nearest two decimal places (hundredth place).

1

Find 165% of 80.

1

Find

1

Find 0.4% of 500.

1

Find 35% of 51.

1

Find the value of g in the proportion.
3:5 = g:65

1

Find the value of h in the proportion.
h:8 = 56:64

1

Find the value of m in the proportion.
16:m = 20:35

1

Find the value of f in the proportion.
36:8 = 81:f

1

John earned $41.25 in 8 hours. Express as a unit rate.

$0.19/hour

$1.94/hour

$5.16/hour

$33/hour

1

Bella completed 8 Sudoku puzzles in 96 mins. Express as a unit rate.

8 puzzles/hour

12 mins/puzzle

20 puzzles/min

83 mins/puzzle

1

The grade 8 class sold 77 boxes of greeting cards to raise money for the Stollery. This is 22% of all the boxes of greeting cards sold. How many boxes were sold?

1

If the sales tax in Alberta is 5%. Calculate the price of a jacket with the sales tax, if the jacket without tax costs $60.

1

A soccer ball goes on sale for 25% off. The ball now costs $30. What was the original price of the ball.

1

Which is the best buy?

8 batteries for $3.49

10 batteries for $4.20

12 batteries for $4.45

24 batteries for $9.29

1

In a baseball league, the Bosox has a win-to-loss ratio is 5:3.
Sherwood Park have a win-to-loss ratio of 7:5. If they each played 24 games, how many more games did the BoSox win than Sherwood Park?

SECTION 6: Algebra with distributive property and Graphing

1

Solve for the unknown variable.

1

Solve for the unknown variable.

1

Solve for the unknown variable.

1

Solve for the unknown variable.

1

Solve for the unknown variable.

1

Solve for the unknown variable.

1

Expand.

35+42c

35-42c

-35+42c

-35-42c

1

Expand.

72d+56

72d-56

-72d-56

-72d+56

1

A school soccer team rented a bus for the day. The bus cost $200 for the day, plus $14 for each person on the bus.The total cost of the bus rental was $424. Which is the best equation to solve the problem?

14p + 200 = 424

200p + 14 = 424

14p - 200 = 424

14p + 424 = 200

1

A school soccer team rented a bus for the day. The bus cost $200 for the day, plus $14 for each person on the bus.The total cost of the bus rental was $424. How many people were on the bus? (Give the answer as a number, do not use a sentence or words)

1

Which equation best fits the table of values shown?

y=6x+1

y=7x+4

y=7x-4

y=-6x+1

1

Which equation best fits the table of values shown?

y=6x+1

y=7x+4

y=7x-4

y=-6x+1

1

The graph of a linear relation y=-2x+5 is shown below. Use the relationship to find the missing number in the ordered pair at A (-3, ___ ).

1

The equation of a linear relation is: y = -5x+ 2
Find the missing number in the ordered pair ( ___ , 2)

1

The equation of a linear relation is: y = -5x+ 2
Find the missing number in the ordered pair (8 , ___ )

SECTION 7: Drawing and Representing Isometric Shapes

1

Draw the front view of the this object. The object has a volume of 6 cubic blocks. Use the dot paper on your formula sheet or snap cubes to help you. (using the line or rectangle tool will make your drawing more neat)

1

Use this set of views to draw the object using isometric dot paper below. Use the dot paper on your formula sheet or snap cubes to help you. (using the line tool will make your drawing more neat)

Math 8 Final Exam

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

A square table has a perimeter of 32 cm. What is the area of the tabletop? *(hint: draw a diagram to help you)

What is the area of the square ABCD?

What is the length of the line segment AB?

If the area of square A is 9 cm2 and the area of square B is 15 cm2, what is the area of square C if the squares are around a right triangle? Square C area= ________ cm2 (do not include units, give your answer to two decimal places where needed)

Find the length of the side labelled with a variable. Solve. h= ______ cm. (do not include units, give your answer to two decimal places where needed)

Find the length of the side labelled with a variable. Solve. l = ______ cm. (do not include units, give your answer to two decimal places where needed)

Find the missing number in this Pythagorean Triple.

A parking garage at the hospital has ramps from one level to the next. How long is each ramp? (do not include units, give your answer to two decimal places where needed)

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

Solve.

The temperature on Sunday was 4oC. The temperature dropped 8oC on Monday and dropped twice as much on Tuesday. What was the temperature on Tuesday? (just put the integer, do not include units oC)

Which multiplication equation is best described by the following model:

Which multiplication equation is best described by the following model:

Which multiplication equation is best described by the following model:

Find the product.

Find the product.

Find the quotient.

Find the quotient.

Find the product.

Find the quotient.

Three-fifths of the Grade 8 class are in the band. On Tuesday, only 1/3 of these students went to band practice. What fraction of the class went to band practice on Tuesday? (hint: multiply the fractions)

Solve.

Solve.

The net of a rectangular prism is shown. What is the surface area of the object? (do not include units; cm2)

The net of a triangular prism is shown. What is the surface area of the object? (do not include units; cm2)

The net of a cylinder is shown. What is the surface area of the object? (do not include units; cm2)

What is the surface area of the object this net would form?

The base area and height of the prism is given. What is the volume? (do not include units; cm3)

Which response shows the volume of the triangular prism?

Which response shows the volume of the rectangular prism?

Which response shows the volume of the cylinder?

Find 165% of 80.

Find

Find 0.4% of 500.

Find 35% of 51.

Find the value of g in the proportion.3:5 = g:65

Find the value of h in the proportion.h:8 = 56:64

Find the value of m in the proportion.16:m = 20:35

Find the value of f in the proportion.36:8 = 81:f

John earned $41.25 in 8 hours. Express as a unit rate.

Bella completed 8 Sudoku puzzles in 96 mins. Express as a unit rate.

The grade 8 class sold 77 boxes of greeting cards to raise money for the Stollery. This is 22% of all the boxes of greeting cards sold. How many boxes were sold?

If the sales tax in Alberta is 5%. Calculate the price of a jacket with the sales tax, if the jacket without tax costs $60.

A soccer ball goes on sale for 25% off. The ball now costs $30. What was the original price of the ball.

Which is the best buy?

In a baseball league, the Bosox has a win-to-loss ratio is 5:3. Sherwood Park have a win-to-loss ratio of 7:5. If they each played 24 games, how many more games did the BoSox win than Sherwood Park?

Solve for the unknown variable.

Solve for the unknown variable.

Solve for the unknown variable.

Solve for the unknown variable.

Solve for the unknown variable.

Solve for the unknown variable.

Expand.

Expand.

A school soccer team rented a bus for the day. The bus cost $200 for the day, plus $14 for each person on the bus.The total cost of the bus rental was $424. Which is the best equation to solve the problem?

A school soccer team rented a bus for the day. The bus cost $200 for the day, plus $14 for each person on the bus.The total cost of the bus rental was $424. How many people were on the bus? (Give the answer as a number, do not use a sentence or words)

Which equation best fits the table of values shown?

Which equation best fits the table of values shown?

The graph of a linear relation y=-2x+5 is shown below. Use the relationship to find the missing number in the ordered pair at A (-3, ___ ).

The equation of a linear relation is: y = -5x+ 2Find the missing number in the ordered pair ( ___ , 2)

The equation of a linear relation is: y = -5x+ 2Find the missing number in the ordered pair (8 , ___ )

Draw the front view of the this object. The object has a volume of 6 cubic blocks. Use the dot paper on your formula sheet or snap cubes to help you. (using the line or rectangle tool will make your drawing more neat)

Use this set of views to draw the object using isometric dot paper below. Use the dot paper on your formula sheet or snap cubes to help you. (using the line tool will make your drawing more neat)

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

Solve. Give your answer to two decimal places where needed.

A square table has a perimeter of 32 cm. What is the area of the tabletop? **(hint: draw a diagram to help you)*

If the area of square A is 9 cm² and the area of square B is 15 cm², what is the area of square C if the squares are around a right triangle? Square C area= ________ cm² (do not include units, give your answer to two decimal places where needed)

The temperature on Sunday was 4^oC. The temperature dropped 8^oC on Monday and dropped twice as much on Tuesday. What was the temperature on Tuesday? (just put the integer, do not include units ^oC)

The net of a rectangular prism is shown. What is the surface area of the object? (do not include units; cm²)

The net of a triangular prism is shown. What is the surface area of the object? (do not include units; cm²)

The net of a cylinder is shown. What is the surface area of the object? (do not include units; cm²)

The base area and height of the prism is given. What is the volume? (do not include units; cm³)

Find the value of g in the proportion.
3:5 = g:65

Find the value of h in the proportion.
h:8 = 56:64

Find the value of m in the proportion.
16:m = 20:35

Find the value of f in the proportion.
36:8 = 81:f

In a baseball league, the Bosox has a win-to-loss ratio is 5:3.
Sherwood Park have a win-to-loss ratio of 7:5. If they each played 24 games, how many more games did the BoSox win than Sherwood Park?

The equation of a linear relation is: y = -5x+ 2
Find the missing number in the ordered pair ( ___ , 2)

The equation of a linear relation is: y = -5x+ 2
Find the missing number in the ordered pair (8 , ___ )

A square table has a perimeter of 32 cm. What is the area of the tabletop? **(hint: draw a diagram to help you)*

If the area of square A is 9 cm² and the area of square B is 15 cm², what is the area of square C if the squares are around a right triangle? Square C area= ________ cm² (do not include units, give your answer to two decimal places where needed)

The temperature on Sunday was 4^oC. The temperature dropped 8^oC on Monday and dropped twice as much on Tuesday. What was the temperature on Tuesday? (just put the integer, do not include units ^oC)

The net of a rectangular prism is shown. What is the surface area of the object? (do not include units; cm²)

The net of a triangular prism is shown. What is the surface area of the object? (do not include units; cm²)

The net of a cylinder is shown. What is the surface area of the object? (do not include units; cm²)

The base area and height of the prism is given. What is the volume? (do not include units; cm³)

Find the value of g in the proportion.
3:5 = g:65

Find the value of h in the proportion.
h:8 = 56:64

Find the value of m in the proportion.
16:m = 20:35

Find the value of f in the proportion.
36:8 = 81:f

In a baseball league, the Bosox has a win-to-loss ratio is 5:3.
Sherwood Park have a win-to-loss ratio of 7:5. If they each played 24 games, how many more games did the BoSox win than Sherwood Park?