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YEAR 8 SUMMER MATH REVISION BOOK

Total questions: 83

Worksheet time: 4hrs 9mins

Name
Class
Date
1.

Lauren spins the spinner with 8-equal sized sections one time. Drag the tiles to arrange the events in order from least likely to most likely.

a)

spinning a 4 or 5

b)

spinning a 6

c)

spinning an even number

d)

spinning a number greater than 5

1)
2)
3)
4)
2.

A box contains 4 red pencils, 6 blue pencils, 5 black pencils, and 3 green pencils. The best description of the likelihood of selecting a blue pencil at random from the box is ​​​ (a)   . ​ ​

Choose from the below words
unlikely
impossible
equally likely
likely
certain
3.

Which of the following best describes the likelihood of the spinner landing on a number less than 6?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

e)

certain

4.

Joseph rolled a number cube 50 times. The table shows the cumulative results of each roll. What is the relative frequency of rolling a 4? Select all that apply.

a)

0.18

b)

950\frac{9}{50}

c)

67.7%

d)

46\frac{4}{6}

e)

18%

5.

During the first several rounds of a golfing league, Anthony made par or better on 32 out of 80 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 160 holes?

a)

54 pars or better

b)

60 pars or better

c)

64 pars or better

d)

70 pars or better

6.

The table shows the number of tickets sold to different kinds of movies at a theater last month. The manager of the theater expects to sell 8,000 movie tickets next month. The theater earn $4.53 profit on each movie ticket. Based on last month's results, how much profit can the theater manager expect to earn from ticket sales to comedy movies next month?

(a)  

7.

Suppose a 4 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6. Which outcomes(s) make up the complement of this event? Select all that apply.

a)

rolling a 2

b)

rolling a 3

c)

rolling a 4

d)

rolling a 5

e)

rolling a 6

8.

Suppose a 4 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6. The complement of this event would be rolling a 1, 2, 3, 5, or 6. What is the probability of the complement, written as a fraction in simplest form?

(a)  

9.

A deli offers the types of bread and sandwiches show in the table. How many possible outcomes are there?

(a)  

10.

A box contains red markers, blue markers, and green markers. There are more blue markers than green markers. The probability of randomly selecting a green marker from the box is 15.\frac{1}{5}. What is a possible probability that a randomly selected marker from the box is blue?

a)

14\frac{1}{4}

b)

15\frac{1}{5}

c)

16\frac{1}{6}

d)

17\frac{1}{7}

11.

If you toss a coin 10 times and get tails each time, which of the following is true?

a)

The probability of getting a tail on the next toss is more than 12.\frac{1}{2}.

b)

The probability of getting a head on the next toss is more than 12.\frac{1}{2}.

c)

The probability of getting a head on the next toss is 12.\frac{1}{2}.

d)

The probability of getting a tail on the next toss is greater than the probability of getting a head.

12.

A fair spinner with sections 1 through 5 is spun 50 times. The results are shown in the table. Which section's experimental probability (relative frequency) comes closest to it's theoretical probability?

a)

Section 1

b)

Section 2

c)

Section 3

d)

Section 4

e)

Section 5

13.

Papa Johns wants to determine how often it delivers to three different areas of Twinsburg. The table shows the areas from a random sample of 80 deliveries. Based on this data, if the driver makes 200 deliveries, how many will be to the southern area of Twinsburg?

a)

35

b)

55

c)

80

d)

110

14.

Julie created a weighted number generator that produces the integers 0 to 4. She then runs the generator 500 times. The results are shown in the table. If Julie runs the generator a total off 4,000 times, which is the closest to the expected number of times the integer 1 is produced?

a)

385

b)

590

c)

975

d)

1225

15.

For breakfast, the cafeteria offers 3 flavors of PopTarts - Strawberry, Blueberry, and Cherry - but the cafeteria worker picks a random flavor for you. Jayla wants to know the probability of receiving strawberry PopTarts on two consecutive mornings. Which sample space represents this situation?

a)

b)

c)

d)

16.

A coin is flipped three times. What is the probability that the coin will land tails up once and heads up twice, if the order doesn't matter?

(Hint: Draw a tree diagram to help you.)

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

34\frac{3}{4}

d)

12\frac{1}{2}

e)

38\frac{3}{8}

17.

Probability ranges from 0 (impossible) to 1 (certain).

a)

true

b)

false

18.

Hannah designs and conducts a computer simulation with 20 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of the number of rolls needed in order to roll all of the different numbers on a number cube. According to the results of the simulation, what is the experimental probability that 9 or more rolls are needed to roll all of the different numbers? Express your answer as a percent.

(a)  

19.

What is the unit to measure angles?

a)

Kilometers

b)

Centimeter

c)

Meter

d)

Degrees

20.

Which angle is this woman forming through yoga?

a)

Right Angle

b)

Obtuse Angle

c)

Acute Angle

21.

Which angle is it forming in this picture?

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

22.

Which geometrical instrument we use to measure angles?

a)

Ruler

b)

Compass

c)

Divider

d)

Protractor

23.

Angle can be defined as the figure formed by two rays meeting at a common end point.

a)

TRUE

b)

FALSE

24.

Obtuse angles are those angles which are less than 90 Degrees.

a)

TRUE

b)

FALSE

25.

Which of these are types of angles?

a)

Acute Angle

b)

Obtuse Angle

c)

Right Angle

d)

Equal angle

26.

What are Bearings in maths?

a)

A bearing is an angle, measured clockwise from the north direction.

b)

A bearing is an angle, measured counter - clockwise from the north direction.

c)

A bearing is an angle, measured clockwise from the east direction.

d)

A bearing is an angle, measured counter - clockwise from the east direction.

e)

Any normal angle

27.

How do you measure a bearing?

a)

Mark North and use a protractor

b)

Mark East and use a protractor

c)

Mark North. Using a pair of compass, make a perpendicular bisector measuring 90 degrees. Make any two random bisectors and the point where they meet is the measure.

d)

Mark East. Using a pair of compass, make a perpendicular bisector measuring 90 degrees. Make any two random bisectors and the point where they meet is the measure.

28.

What is the measure of the angle with a Bearing of 45 degrees?

a)

315 degrees counter - clockwise

b)

45 degrees clockwise

c)

135 degrees clockwise

d)

45 degrees counter - clockwise

29.
Bearings are measured from North, Clockwise, using 3 digits
a)
True
b)
Flase
30.
What is
the correct bearing?
a)
30
b)
330
c)
030
d)
60
31.

Write the bearings of A from O

a)

125

b)

055

c)

035

d)

305

32.

Choose the correct true bearing

a)

75

b)

255

c)

195

d)

075

33.

Choose the correct true bearing

a)

62

b)

062

c)

332

d)

152

34.

what is the true bearing of A from B

a)

50

b)

050

c)

140

d)

320

35.

What is the correct notation of a Bearing measuring Fifty degrees

a)

050 degrees

b)

50 degrees clockwise

c)

50 degrees

d)

5.0 into 10 raised to 1 degrees

e)

050 degrees clockwise

36.
What is the bearing of B from A
a)
025
b)
205
c)
25
d)
155
37.

Find the bearing of A from B

a)

250o

b)

110o

c)

290o

d)

070o

38.

Find the bearing of A from B

a)

135o

b)

315o

c)

045o

d)

45o

39.

Find the bearing of A from B

a)

130o

b)

050o

c)

230o

d)

290o

40.
What direction is indicated by the number 4?
a)
north
b)
east
c)
south
d)
west
41.

Describe the rule for this sequence

5, 12, 19, 26......

a)

Add five each time

b)

Add seven each time

c)

Subtract seven each time

d)

Add 8 each time

42.

Describe the rule for this sequence

2, 4, 8, 16

a)

add 8 each time

b)

add 4 each time

c)

add 2 each time

d)

Double the previous term

43.

What is the missing term in this sequence

4, ....., 8, 10

a)

5

b)

6

c)

7

d)

8

44.

Fill in the missing term in this sequence

2, 5, ......, 11

a)

5

b)

6

c)

7

d)

8

45.

Find the next term in this sequence

6, 8,12,18.....

a)

20

b)

22

c)

26

d)

24

46.

What is the nth term rule for the following sequence

5, 8, 11, 14.....

a)

3n

b)

3n + 2

c)

3n - 2

d)

5n + 3

47.

What is the nth term rule of this sequence

9, 13, 17, 21....

a)

4n + 5

b)

9n

c)

5n + 4

d)

5n

48.

The nth term of a sequence is 4n + 1.

What are the first 4 terms of the sequence

a)

4, 8, 12, 16

b)

5, 9, 13, 17

c)

5, 6, 7, 8

d)

4, 5, 6, 7

49.

The nth term of a sequence is 3n + 5.

What are the first 4 terms of the sequence

a)

8, 11, 14, 17

b)

8, 13, 18, 23

c)

3, 6, 9, 12

d)

5, 10, 15, 20

50.

The nth term of a sequence is 2n - 1.

What are the first 4 terms of the sequence

a)

2, 4, 6, 8

b)

1, 2, 3, 4

c)

1, 3, 5, 7

d)

2, 5, 7, 9

51.

What is surface area?

a)

The distance around the outside of a two-dimensional figure

b)

The number of square units in a two-dimensional figure

c)

The number of cubic units needed to fill a three-dimensional figure.

d)

The sum of the areas of all surfaces on a three-dimensional figure

52.

Find the Total Surface area of the cylinder. Round to the nearest tenth.

a)

62.8m

b)

477.3 cm2

c)

235.5 cm3

d)

942.0 cm2

53.

Find the total surface area of the cylinder. Round to the nearest tenth.

a)

60.4 m2

b)

188.4 m2

c)

94.2 m2

d)

881.9 m2

54.

Find the total surface area of the cylinder.

Don't forget to divide the diameter by 2 to get the radius. Round to the nearest tenth.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

55.

Find the surface area of the figure. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

a)

628.3 m2

b)

1445.1 m2

c)

1245 m2

d)

816.8 m2

56.

Find the LATERAL surface area of the cylinder.

a)

471.24 square centimeters

b)

157.08 square centimeters

c)

314.16 square centimeters

d)

296.72 square centimeters

57.

Find the LATERAL surface area of the cylinder. Don't forget to divide the diameter by 2 to get the radius. Round to the nearest hundredth.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

58.

Find the total surface area of the cone. Round to the nearest tenth.

a)

37.7 m²

b)

50.3 m²

c)

75.4 m²

d)

25.1 m²

59.

Find the total surface area of a cone with a radius of 7 inches and a slant height of 11 inches. Round to the nearest tenth.

a)

259.7 in2

b)

241.9 in2

c)

153.9 in2

d)

395.8 in2

60.

Find the total surface area of this figure.

Round to the nearest hundredth.

a)

84.44 sq in

b)

25.25 sq in

c)

104.62 sq in

d)

56.52 sq in

61.

Find the total surface area of the cone. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

a)

103.7 yd²

b)

263.9 yd²

c)

75.4 yd²

d)

150.8 yd²

62.

Find the total surface area of the cone. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

a)

1158.5 sq. m

b)

1287.2 sq. m

c)

1007.9 sq. m

d)

1462 sq. m

63.

Find the LATERAL surface area of the cone. Round to the nearest tenth.

a)

252.6 sq. cm

b)

217.6 sq. cm

c)

365.7 sq. cm

d)

435.2 sq. cm

64.

Find the LATERAL surface area of the cone.

a)

1180.7 sq. in

b)

703.7 sq. in

c)

1017.4 sq. in

d)

2597.5 sq. in

65.

A paper party hat, like the one shown, has a slant height of 6 inches and a radius of 5 inches. How many square inches of cardboard would be needed to create this hat?

a)

94.3 in.2

b)

172.8 in.2

c)

50 in.2

d)

22.5 in.2

66.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
67.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

68.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

69.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

70.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

71.
What type of triangle is the context of our study of trigonometry?
a)
right triangle
b)
isosceles triangle
c)
scalene triangle
d)
acute triangle
72.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

73.

The length across from the right angle in a triangle is called the ...........

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

74.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

75.

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

a)

Sine

b)

Cosine

c)

Tangent

76.

What is the correct ratio set up for finding the tangent of Angle A? Remember: Tangent = opposite/adjacent

a)

20/12

b)

12/20

c)

12/16

d)

16/12

77.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

78.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

79.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

80.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

81.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

82.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

83.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

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