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Worksheets

Preparing for EASE 4

Total questions: 110

Worksheet time: 6hrs 46mins

Name
Class
Date
1.

Determine if the ratios are proportional.

4/5 and 15/20

a)

Yes

b)

No

2.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

3.

Share these amount between Tao and Chris in the ratios given.

45kg in the ratio 3:2

a)

27kg, 18kg

b)

20kg 25kg

c)

15kg 30kg

4.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
5.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
6.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
7.

For every 10 children 4 wore glasses. There were 30 children. How many did not wear glasses?

a)

18 did not wear glasses

b)

12 did not wear glasses

c)

30 wore glasses

d)

10 wore glasses

8.

If one dozen balls cost $288, how much would 56 balls cost?

a)

$16,128

b)

$1344

c)

$1672

d)

$5142

9.

Another kind of ratio relationship you can find is to look inside a ratio itself. 2:6 is the top ratio in this table. To get from 2 to 6, you would multiply by 3. Look at each row and notice that this times 3 relationship continues. What is the value of x?

a)

30

b)

3

c)

15

d)

20

10.

If 10 pencils cost ₹ 50, what will be the cost of 12 pencils?

a)

₹ 60

b)

₹ 120

c)

₹ 6

d)

₹ 12

11.

Two numbers are in the ratio 2 : 3, if the sum of numbers is 60, find the numbers

a)

24 and 36

b)

120 and 180

c)

140 and 210

d)

24 and 32

12.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
c)
I don't know, I need to come to extra help! 
13.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

14.

48 men were deployed to construct a bridge in 30 days.


How many days does it take for 8 men to construct the same bridge?

a)

5

b)

10

c)

180

d)

200

15.

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

a)

6

b)

12

c)

36

d)

48

16.

It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?

a)

32

b)

14

c)

36

d)

24

17.

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?

a)

35

b)

7

c)

28

d)

14

18.

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

a)

20

b)

15

c)

16

d)

24

19.

A book contains 120 pages and each page has 35 lines . How many pages will the book contain if every page has 24 lines per page ?

a)

185

b)

125

c)

175

d)

150

20.

If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?

a)

60

b)

70

c)

80

d)

90

21.
If you roll one die, what is the probability of getting an odd number or a 4?
a)
2/3
b)
1/3
c)
1/2
d)
1/6
22.
If you roll one die, what is the probability of getting an even number or a multiple of 3?
a)
1/3
b)
2/3
c)
1/2
d)
1/6
23.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?
a)
8/15
b)
6/11
c)
3/4
d)
2/3
24.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)
2/52
b)
4/52
c)
16/52
d)
26/52
25.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
26.
Which of the following shows how to determine P(diamond or face card)?
a)
13/52 + 12/52 - 3/52
b)
3/52 + 13/52 -12/52
c)
3/52 + 12/52 - 13/52
d)
1/13 + 3/52 - 1/4
27.

There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.


What is the probability of him not choosing a red rose?

a)

1220\frac{12}{20}

b)

820\frac{8}{20}

c)

812\frac{8}{12}

d)

512\frac{5}{12}

28.
Which of the following shows how to determine when a die is rolled P(multiple of 2 or a multiple of 3)?
a)
2/6 + 1/6 - 3/6
b)
4/6 + 2/6 - 1/6
c)
3/6 + 2/6 - 1/6
d)
5/6 + 1/6 - 3/6
29.

Which of the following shows how to determine P(football or basketball)?

a)

20/100 + 55/100 - 5/100

b)

55/100 + 5/100 - 20/100

c)

55/100 + 20/100 + 5/100

d)

75/100 + 25/100 - 20/100

30.
Find the probability of drawing a 10 from a standard deck of 52 cards.
a)
4 out of 52
b)
13 out of 52
c)
13/52
d)
4/52
31.

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

32.

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

33.

There are fourteen shirts in your closet, seven blue and seven green. Six of the blue shirts and four of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or fits well.

What is the probability of selecting a blue shirt at random?

a)

7/14 = 1/2

b)

8/14 = 2/3

c)

6/14 = 3/7

d)

5/14

34.

Find the probability. A box of chocolates contains three milk chocolates, three dark chocolates, and five white chocolates. You randomly select a chocolate. It is a milk chocolate or a dark chocolate.

a)

2/3

b)

5/6

c)

6/11

d)

7/11

35.

There are only Pink, Yellow, Green and Blue counters in a bag. The table shows the probability of picking each colour.


What is the probability of picking a Yellow counter?

a)

0.8

b)

0.2

c)

0.7

d)

0.3

36.
a)

5700\frac{5}{700}

b)

695700\frac{695}{700}

c)

699700\frac{699}{700}

d)

1700\frac{1}{700}

37.

Tossing a coin and landing on heads and tails

a)

Mutually exclusive

b)

Not mutually exclusive

38.

Which formula do you use when two events are mutually exclusive?

a)

P(A or B) = P(A) + P(B)

b)

P(A or B) = P(A) + P(B) - P(A∩ B)

c)

P(A and B) = P(A) * P(B)

d)

P(A and B) = P(A) - P(B)

39.

A box contains 5 red balls, 7 yellow balls and 3 blue balls. If one ball is randomly picked, what is the probability that the ball is red or blue?

a)

515+315−1015\frac{5}{15}+\frac{3}{15}-\frac{10}{15}

b)

515+1015\frac{5}{15}+\frac{10}{15}

c)

515+315\frac{5}{15}+\frac{3}{15}

d)

515+1015−315\frac{5}{15}+\frac{10}{15}-\frac{3}{15}

40.

At a local high school, 60% of students have access to a laptop, 30% have access to a tablet, and 20% have access to both. The proportion of students that have access to neither a laptop or a tablet is:

a)

0%

b)

10%

c)

30%

d)

80%

e)

90%

41.

What combinaton of transformations is shown?

a)

Rotation, then translation

b)

Translation, then reflection

c)

Rotation, then reflection

d)

Translation, then rotation

42.

What combination of transformations is shown?

a)

Reflection, then rotation

b)

Translation, then rotation

c)

Translation, then reflection

d)

Reflection, then translation

43.

One possible sequence of rigid motions is to reflect the red figure in the x-axis and then translate the image ___ units left.

a)

0

b)

1

c)

2

d)

3

44.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

45.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

46.

Identify the sequences of transformations from the green image to the red image to the blue image.

a)

rotation then translation

b)

translation then rotation

c)

translation then reflection

d)

rotation then reflection

47.

Identify the sequences of transformations from the red image to the blue image to the green image.

a)

translation then translation

b)

rotation then reflection

c)

rotation then rotation

d)

reflection then translation

48.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
49.

If the red triangle is rotated 180 degrees, then reflected over the line y=2, what is the resulting image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

50.

What type of transformation is this?

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

51.

Match the Following

a)

Rotation

1.

Turn

b)

Reflection

2.

Flip

c)

Translation

3.

Slide

d)

Dilation

4.

Enlarge/Reduce

52.

#4

A
B
C
D
E
F
G
H
I
53.

What are the final coordinates of B after a rotation of 180 degrees counterclockwise and a reflection over the y-axis

a)

(3, -4)

b)

(3, 4)

c)

(-4, 3)

d)

(4, -3)

54.

What are the final coordinates of B after a reflection over the x-axis and a translation 2 right and 2 up?

a)

(3, 1)

b)

(-3, -1)

c)

(-1, -3)

d)

(1, 3)

55.

Identify this transformation.

a)

Dilation

b)

Rotation

c)

Translation

d)

Reflection

56.

Choose the correct transformations

a)

right 1, down 4, and then reflection over the y-axis

b)

right 6, and then reflection over the x-axis

57.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

58.

Which of the following is NOT a rigid transformation?

a)
b)
c)
d)
59.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
60.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
61.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
62.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
63.
What color is the y-axis?
a)
red
b)
black
c)
green
d)
white
64.

Where is point A" after the triangle is reflected over the x-axis and then rotated 90o counterclockwise about the origin?

a)

(7, -6)

b)

(6, 7)

c)

(-6, -7)

d)

(-7, 6)

65.

What transformation could result in the coordinates above?

a)

A reflection over the x-axis, followed by a reflection over the y-axis.

b)

A rotation of 90o clockwise, followed by a translation.

c)

A rotation of 180o, followed by a reflection over the x-axis.

d)

A reflection over the line y=x and a translation.

66.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.


Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)2(32)

c)

V = π(9)2(32)

d)

V = π(4.5)(32)

67.
Sara  and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?
a)
Cylinder A
b)
Cylinder B
68.
BeJohn is drinking soda from a can that has a radius of 5 in and a height of 43 in. He has already drank 1/4 of the soda, how much soda is still remaining in the can? Leave the answer in terms of π.
a)
1075π
b)
268.75π
c)
430π
d)
806.25π
69.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
70.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
71.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
72.

The cylinder has a height of ​ (a)   and a radius of ​ ​ (b)   . The shape of the base of the cylinder is a ​ (c)  

Choose from the below words
15 cm
5 cm
circle
150 cm^3
rectangle
10 cm
oval
73.

What is the height of the cylinder?

a)

8 cm

b)

16 cm

c)

4 cm

d)

804.25 cm

74.

The following figures are cylinders, cones, and spheres. Select the cylinder figures. Select two correct answers.

a)
b)
c)
d)

e)

75.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
76.
a)
546 m3
b)
456 m3
c)
654 m3
d)
54 m3
77.
Bob has a rectangular prism gift box what it the volume of bobs gift box?
a)
64in3
b)
60in3
c)
240in3
d)
24in3
78.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
79.
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
80.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
81.

What shape is the base of this prism?

a)

rectangle

b)

trapezoid

c)

triangle

d)

square

82.

What is the volume of the trapezoidal prism?

a)

100 cubic cm

b)

2200 cubic cm

c)

220 cubic cm

d)

2200 cm

83.

What is the volume of this trapezoidal prism?

a)

4480 cm3

b)

400 cm3

c)

440 cm3

84.

What is surface area?

a)

The amount you can put inside an object.

b)

the sum of all the areas of all the shapes that cover the surface of the object.

c)

The distance around a figure.

d)

The inside space taken by a two-dimensional figure.

85.

What is the total surface area formula for a cylinder?

a)
SA = πrl + πr2
b)
SA = 2πrh + 2πr2
c)
SA = 4πr2
d)
SA = πr2h
86.

What is the total surface area of the cylinder in terms of π?

a)

672π ft2

b)

4,608π ft2

c)

336π ft2

d)

1,824π ft2

87.

Find the TOTAL surface area of the cylinder.

a)
192π
b)
128π
c)
96π
d)

Chandler Moore ft Justin Bieber

88.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
89.
How do you find the AREA of a TRIANGLE?
a)
Height x Base divided by 4
b)
Length x Width
c)
1/3 (Length x width)
d)
1/2 (Base x height)
90.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
91.
B stands for ________________
a)
Area of the base
b)
Perimeter of the base
c)
Area of the prism/cylinder
d)
Perimeter of the prism/cylinder
92.

What is the total surface area of the prism shown above?

a)

476 square inches

b)

140 square inches

c)

60 square inches

d)

536 square inches

93.

Find the surface area of the trapezoidal prism.

a)

439.5

b)

200

c)

341.8

d)

889.4

94.

The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. The surface area is ​ (a)   . The net in the image shows a ​ (b)   .

Choose from the below words

375 square inches

750 square inches

275 square inches

triangular prism

rectangular prism

triangular pyramid

95.

Which formula would you use to find the value of B for the prism shown?

a)

  B=π⋅r2B=\pi\cdot r^2  

b)

B=12⋅(b1+b2)⋅hB=\frac{1}{2}\cdot\left(b_1+b_2\right)\cdot h  

c)

B=b⋅hB=b\cdot h  

d)

B=12⋅b⋅hB=\frac{1}{2}\cdot b\cdot h  

96.

The vertical axis of a frequency polygon comes from this column:

a)

class width

b)

frequency

c)

class midpoint

d)

class boundaries

97.

The horizontal axis of a frequency polygon comes from this column:

a)

Class width

b)

Frequency

c)

Midpoint

d)

Class Endpoints

e)

Class Boundaries

98.

For this data, the total frequency is:

a)

6

b)

7

c)

10

d)

20

99.

Find the midpoints.

a)

25.5, 35.5, 45.5, 55.5, 65.5, 75.5

b)

20.5, 30.5, 40.5, 50.5, 60.5, 70.5, 80.5

c)

21, 31, 41, 51, 61, 71

d)

30, 40, 50, 60, 70, 80

100.

Which of the following is the correct frequency polygon for the data given?

a)

b)

c)

d)

101.

Observe the frequency distribution and construct a frequency polygon (choose the correct option).

a)

b)

c)

102.

How many people have a shoe size of 6?

a)

17

b)

18

c)

19

d)

15.4

103.

According to the portion of the frequency table given, how many people have an MBA?

a)

9

b)

60

c)

20

d)

not enough information

104.

How do you construct a frequency polygon?

a)

Start at bottom left hand corner of first column and draw a straight line through the top right hand corner of each column

b)

Start at origin and draw a straight line through the centre of each column

c)

Start at centre of column and draw a straight line through the left hand corner of the next column.

d)

Start at origin and draw a straight line through the right hand corner of each column

105.

What is the shortest amount of time that a Year 11 spend on their homework?

a)

15 minutes

b)

45 minutes

c)

5 minutes

d)

1 minute

106.

Complete the definition:

a)

class boundaries

b)

lower class limits

c)

upper lass limits

d)

midpoints

107.

State the upper limit of the second class interval.

a)

5.5

b)

6

c)

10

d)

10.5

108.

Find the width of the class intervals.

a)

3

b)

5

c)

7

d)

9

109.

How many classes are there in this table?

a)

51

b)

4

c)

10

d)

2

110.

What kind of graph is this?

a)

OGIVE

b)

FREQUENCY POLYGON

c)

FREQUENCY HISTOGRAM

d)

RELATIVE FREQUENCY HISTOGRAM

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