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M8- Year End Final 2022 P2

Last updated over 3 years ago

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Question 1

1.

This is the net of a right rectangular prism. The area of each face, in square centimetres, is given.

What is the surface area of the prism?

178 cm2

348 cm2

228 cm2

174 cm2

Question 2

2.

A prism is 12 cm tall. The side length of the square base is 5 cm.
What is the volume of the prism?

85 cm3   

88 cm3 

240 cm3

300 cm3

Question 3

3.

Multiply:
8/9 x 7/16

191/144

7/18

15/25

15/144

Question 4

4.

Find the surface area of this cylinder. Round your answer to the nearest tenth of a square metre.

636.2 m2  

42.4 m2

459.5 m2

289.8 m2

Question 5

5.

This object is built using 4 linking cubes.

The object is rotated vertically 90° clockwise about the axis shown.
Which one of the diagrams below is the right-side view of the object after the rotation?

Question 6

6.

Use the 4 School Lunch graphs below.

Which type of graph is most appropriate for finding the percent of Grades 8 and 9 students who eat school lunches?

Graph C  

Graph A 

Graph D

Graph B

Question 7

7.

Find the total cost of a $363.99 airline ticket with sales taxes of 15%.

$417.68   

$418.59

$363.99

$309.39

Question 8

8.

Find the length of the leg labelled "l". Give your answer to 1 decimal place.

16.0   

16.5

15.5

256.0

Question 9

9.

Which equation from the choices given matches this situation.
Patricia has "p" posters. She sold 8 and has 18 left.

p = 18 - 8

p + 8 = 18

p + 18 = 8

p - 8 = 18

Question 10

10.

What is the "area" of a square with side length 10 units?

100 square units 

20 square units

40 square units

200 square units

Question 11

11.

Divide.

5 5/6

1 1/14

14/15

2/3

Question 12

12.

Find the "surface" area of this cylinder. Round your answer to the nearest tenth of a square meter.

42.4 m2

636.2 m2

459.5 m2

289.8 m2

Question 13

13.

Find the volume of this triangular prism.

900 cm3   

342 cm3

225 cm3

450 cm3

Question 14

14.

Calculate the surface area of this right triangular prism.

868 cm2  

660 cm2

780 cm2

720 cm2

Question 15

15.

Find the volume of this rectangular prism.

 336 cm3  

138 cm3 

160 cm3

320 cm3

Question 16

16.

The length of one edge of this cube is 4 cm. What is the surface area of the cube?

24 cm2   

 64 cm2

 32 cm2

 96 cm2

Question 17

17.

The sales taxes are 14%. Find the total cost of a video game with a listed price of $73.

$62.78  

$71.98 

$74.02

$83.22

Question 18

18.

Replace🔲 with an integer to make the equation true.
(+30) ×🔲 = −150

−120  

+120

−5 

+5

Question 19

19.

Write the ratio 35:7 in simplest form.

5:1

6:1

28:1

10:2

Question 20

20.

These are views of an object built using linking cubes. Which sketch matches what the object looks like.

Question 21

21.

Find the curved surface area of this cylindrical tube.

Use this formula:

 226 m2 

157 m2 

452 m2 

305 m2

Question 22

22.

Find the product of −4 and −7.

−28   

+11

+28

−11

Question 23

23.

Determine which line segment is shortest.

Line D 

Line B 

Line A

Line C 

Question 24

24.

Find the length of the leg labelled r.

Use this formula:
l2 + l2 = h2
Be careful as you are trying to figure out the length of the missing leg.

 39 m  

38 m

12 m

24 m

Question 25

25.

Which statement is correct?

iii

i

ii

iv

Question 26

26.

Solve. (use order of operations)

4 3/4

2 11/12

2 1/12

1 1/4

Question 27

27.

Complete this table of values for the relation y = x + 3

Question 28

28.

In Store A, a book that regularly sells for $24.99 is on sale at 15% off.
In Store B, the same book regularly sells for $27.99 and is on sale at 25% off.
Which store sells the book for the lower sale price?

Store B; Store A’s sale price is $21.24 and Store B’s sale price is $20.99.

Store A; Store A’s sale price is $18.74 and Store B’s sale price is $23.79.

Store A; Store A’s sale price is $18.74 and Store B’s sale price is $20.99.

Store B; Store A’s sale price is $21.24 and Store B’s sale price is $23.79.

Question 29

29.

Find the volume of this cylinder.

Use this formula:

235.6 m3  

471 m3 

188.4 m3

942 m3

Question 30

30.

A right rectangular prism measures 9 cm by 7 cm by 10 cm. What is the volume of the prism?

223 cm3   

104 cm3

630 cm3

156 cm3

Question 31

31.

Solve this equation. 20 - 3x = 14

2

-2

3

-3

Question 32

32.

This graph shows the linear relation y= x + 4

Write the ordered pair for point P

1,1

7,3

3,3

3,7

Question 33

33.

This graph shows the linear relation y= 2x + 1

Write the ordered pair for point Q

-3,-2

-2,-3

2,-3

-2,3

Question 34

34.

Which graph shows the relation y = -2x + 3 for integer values of x from 0 to 4

Question 35

35.

What is the greatest whole number less than

7

13

27

8

Question 36

36.

The areas of 4 squares are given: 127 cm2, 116 cm2, 121 cm2, and 131 cm2.
Which area is a perfect square?

131 cm2

116 cm2

121 cm2

127 cm2

Question 37

37.

Which 2 consecutive square numbers is 54 between?

12 and 16

49 and 64

28 and 32

53 and 55

Question 38

38.

What is the multiplication expression for (−6) + (−6) + (−6).

+18

(+3)  x  (-6)

(-3) x (-6)

-18

Question 39

39.

Write the division equation modeled by this number line.

Question 40

40.

A deep-sea diver must descend and ascend in short steps to equalize pressure on his body.
Suppose a diver started at 27 m below the water surface and rose in 5 steps of 5 m each. Use an integer to describe his new position in relation to the water surface.

-25 m

-2 m

+2 m

+ 25 m

Question 41

41.

Find the area of the net. Use this formula. Be sure to change the diameters to a measure of "radius" if necessary.

26 cm2

87. 96 cm2

694.23 cm2

80 cm2

Question 42

42.

Which type of graph is most suitable for showing the depth of water in a pond over a period of time?

Question 43

43.

This table shows the colors of 4 scarves, 3 pairs of gloves, and 2 hats that Tamara has. She randomly picks a scarf, a hat, and a pair of gloves. What is the probability of Tamara choosing a pair of black gloves and a red scarf?
Formula: P(A) x P (B)

1/16

1/8

1/12

1/20

Question 44

44.

Write a mixed number and improper fraction for the model below.

Question 45

45.

Write 39/8 as a mixed number.

4 1/8

40 7/8

7 4/8

4 7/8

Question 46

46.

A weather balloon is anchored by a cable 800 m long. The balloon is flying directly above a point that is 100 m from the anchor. How high is the balloon flying? Give your answer to the nearest meter.

793.72 m

794 m

806.2 m

900 m

Question 47

47.

An 8-m ladder leans against a wall. How far up the wall does the ladder reach if the foot of the ladder is 3 m from the base of the wall?

24 m

7.41 m

8.54 m

Question 48

48.

Which answer below is the expandn ed expression of 4(11 + r)

15 + 4r

7 + r

44 + 4r

11r + 4

Question 49

49.

Solve the equation using the distributive property.
-3(m - 2) = 21

+5

- 5

3.5

-3.5

Question 50

50.

Solve the following equation.

-0.5

-32

-2.5

-12

Question 51

51.

The sales taxs are 14%. Find the tax paid for a pair of running shoes that costs $115.

$2.25

$16.10

$1.22

$161.00

Question 52

52.

Find 170% of 58.

2.28

98.6

986

9.86

Question 53

53.

Write the shaded portion of the following diagram as a fraction and a percent.

5/8 ; 20.8%

5/12; 6.3%

5/24; 20.8%

5/8; 62.5%

Question 54

54.

What is the equation for this table of values?

2 + x = y

2(2x + 1) = y

2y + 2 = x

2x + 2 = y

Question 55

55.

The area of a square is 24 m2. Find its side length.

4.90

12

4

Question 56

56.

What is the area of the indicated square?

30 sqaure units

9 sqaure units

50 sqaure units

Question 57

57.

Use the Pythagorean Theorem to find the area of this square.
a2 + b2 = c2

13

25

19

3.61

Question 58

58.

I have 13 sets of 3 black tiles. What integer do these tiles represent?

+16

+10

+39

-39

Question 59

59.

Write the division equation modeled by this number line.

Question 60

60.

The object shown below is built using 4 linking cubes. The object is rotated 90o clockwise about the axis shown. Which choice below shows the front view after rotation?