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Transformation, Volume and Surface Area and Coordinate Geometry

Total questions: 80

Worksheet time: 4hrs 30mins

Name
Class
Date
1.
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
a)
3
b)
6
c)
5
d)
4
2.
What color car is the least popular at this car dealership?
a)
Red
b)
White
c)
Blue
d)
Green
3.

How many people like goldfish and rabbits?

a)

6 + 1 = 7

b)

3 + 1 = 4

c)

6 + 2 = 8

d)

6 + 3 = 9

4.

Which are the least popular pets?

a)

Cats and dogs

b)

Goldfish and budgie

c)

Lizard and snake

d)

Hamster and rabbit

5.

How many students like pink?

a)

50 students

b)

40 students

c)

30 students

d)

20 students

6.

A table that lists items and shows the frequency or number of times they occur is called ...

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

7.

A way of showing data using symbols or pictures is called ...

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

8.

A way of showing data using bars of different heights/lengths is called ....

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

9.
How many students spent over 40 minutes but under 60 minutes studying?
a)
22 Students
b)
30 Students
c)
8 Students
d)
5 Students
10.

The bar graph shows the number of hamburgers sold at Bob’s Burger Shack. On which days were more than 80 hamburgers sold?

a)

Wednesday and Friday

b)

Tuesday and Thursday

c)

Monday, Tuesday, and Thursday

d)

Tuesday, Wednesday, Thursday, and Friday

11.

How many more boys than girls have shoes that are 22 centimeters long?

a)

16

b)

2

c)

9

d)

4

12.

The graph shows how employees at Disney World travel to work. How many employees ride bikes, ride the bus, or walk to work?

a)

300

b)

450

c)

325

d)

375

13.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
14.

Find the median: 12, 15, 13, 18, 23, 5?

a)

14

b)

16

c)

16.5

d)

18

15.

What is the mode in the following numbers? [3, 24, 3, 7, 30, 1, 3, 7, 3]

a)

3 and 7 both are modes

b)

1 and 7 both are modes

c)

3 only

d)

7 only

16.

What measure of central tendency is calculated by adding all the values and dividing the

sum by the number of values?

a)

mode

b)

median

c)

mean

d)

center

17.

The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that

occupied the median position, in which seat would you have to sit?

a)

11

b)

11.50

c)

12

d)

13

18.

What is Mode of the following data?


6 13 4 22 7 9 4 23 6 24 37

a)

13 and 24

b)

9 and 6

c)

37 and 7

d)

6 and 4

19.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
20.

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

a)

18

b)

27

c)

30

d)

12

21.

What was the most common IQ range?

a)

91-100

b)

111-120

c)

12-130

d)

101-110

22.

Which table represents the data in the graph?

a)
b)
c)
d)
23.
What is the mean of first 10 natural numbers?
a)
55
b)
5.5
c)
6
d)
6.5
24.
a)

20

b)

25

c)

50

d)

75

25.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
26.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
27.
A data set contains only one outlier. Which statistical measure will most likely remain the same if the outlier is removed?
a)
Mean
b)
Mode
c)
Range
d)
Standard deviation
28.
A realtor wants to give a customer an idea of housing prices in a neighborhood. All the houses are priced within $20,000 of one another, except one house that is much larger and more expensive than the rest. Which measure(s) of central tendency will be most affected by the one expensive house?
a)
Mode only
b)
Mean only
c)
Both mode and mean
d)
Both mean and median
29.

In a histogram, each class rectangle is constructed with base as

a)

frequency

b)

class interval

c)

range

d)

size of the class

30.

The mean of ten numbers is 20, if 5 is subtracted from every number, what will be the new mean?

a)

10

b)

15

c)

17

d)

20

31.

The scatter graph shows the relationship between the age of a car and its value.


Describe the correlation shown on the diagram

a)

Positive

b)

Negative

c)

No Correlation

32.

What type of correlation is shown?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

33.
Describe the correlation in the graph shown.
a)
Weak Negative
b)
Weak Positive
c)
Strong Negative
d)
Strong Positive
34.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

35.

What is a line of best fit used for?

a)

To connect the points

b)

To make predictions

c)

To make the graph look pretty

d)

To make it look like you know what you are doing

36.

The scatter graph shows the relationship between the amount of rainfall and the number of umbrellas sold each day.


Which statements are true?

a)

The greater the amount of rainfall, the fewer umbrellas sold

b)

The greater the amount of rainfall, the more umbrellas sold

c)

The smaller the amount of rainfall, the fewer umbrellas sold

d)

The smaller the amount of rainfall, the more umbrellas sold

37.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
38.

The scatter graph shows the relationship between the amount of rainfall and the number of umbrellas sold each day.


On another day, there was 8.5mm of rainfall. Estimate the number of umbrellas sold on that day.

a)

80

b)

40

c)

120

d)

30

39.

Line graphs are a good data display because...

a)

They represent a percentage of the whole data set.

b)

They enable the viewer to make predictions about the results of data not yet recorded & show the change over time.

40.
a)

4

b)

8

c)

40

d)

not enough information

41.
a)

10

b)

120

c)

1.25

d)

0.8

42.
a)

5 cm

b)

7.5 cm

c)

10 cm

d)

12.5 cm

43.

How do we work out the frequency from a histogram?

a)

Area of the bar

b)

Frequency density x class width

c)

Frequency density ÷\div class width

d)

class width ÷\div frequency density

44.

Estimate how many people have a height greater than 165cm?

a)

14

b)

8

c)

10

d)

12

45.

How many objects have a weight between 245g and 250g?

(Hint the first interval is 245-248)

a)

14

b)

17

c)

10

d)

20

46.
How many employees have a salary less than $22,000?
a)
50
b)
350
c)
0
d)
10
47.

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

a)

Class

b)

Frequency

c)

Midpoint

d)

Cumulative Frequency

e)

Class Endpoints

48.

A histogram is like a bar graph, except that... (check all that apply.)

a)

The bars touch

b)

It is for quantitative data

c)

The bars are arranged in ascending order

d)

It is for qualitative data

49.

The midpoint of the lines segment AB is P(0,4). If the coordinates of B are (-2,3), then the coordinates of A are

a)

(2,5)

b)

(-2,-5)

c)

(2,9)

d)

(-2,11)

50.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

(a)  

51.

Which of the following is a formula for the distance between any two points on a graph?

a)

a2+b2=c2a^2+b^2=c^2

b)

(x2−x1)2 + (y2−y1)2\sqrt{\left(x_2-x_1\right)^2\ +\ \left(y_2-y_1\right)^2}

c)

(x2−x1)2 − (y2−y1)2\sqrt{\left(x_2-x_1\right)^2\ -\ \left(y_2-y_1\right)^2}

d)

b2=c2−a2b^2=c^2-a^2

52.

Distance between (7, -45) and ( -3, 45)

a)

90 units

b)

10 units

c)

4 units

53.

(-0.25 , 0.0009) belongs to ........ quadrant.

a)

I

b)

II

c)

III

d)

IV

54.

In which quadrant both X and Y coordinates are positive?

a)

I

b)

II

c)

III

d)

IV

55.

What is the definition of

Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

56.

When the line is upward sloping, the gradient is ___________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

57.

How do you measure gradient?

a)

Gradient = rise / run

b)

Gradient = vertical change in x / horizontal change in y

c)

Gradient = vertical change in y / horizontal change in x

d)

Gradient = run / rise

58.

What is the gradient of this line?

a)

2

b)

-2

c)

1/2

d)

-1/2

59.

The equation of a straight line is in the form of .....

a)

y=x

b)

y=mx

c)

y=mx+c

d)

y=mx+mc

60.

What is the gradient of the line y=2x-3

(a)  

61.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
62.

What is the midpoint of the straight line segment joining the points (3, -6) and (-4, -3)?

a)

(3.5, −4.5)\left(3.5,\ -4.5\right)

b)

(3.5, −1.5)\left(3.5,\ -1.5\right)

c)

(−0.5, −1.5)\left(-0.5,\ -1.5\right)

d)

(−0.5, −4.5)\left(-0.5,\ -4.5\right)

63.

What is the midpoint of the straight line segment joining the points (-2, 5) and (6, -1)?

a)

(2,2)\left(2,2\right)

b)

(2,3)\left(2,3\right)

c)

(−4,2)\left(-4,2\right)

d)

(−4,3)\left(-4,3\right)

64.

What is the gradient of this line y=−2x+3y=-2x+3

65.

Line LL has a gradient of 45\frac{4}{5} , what is the gradient of a line parallel to Line LL ?

66.

Line LL has a gradient of 45\frac{4}{5} , what is the gradient of a line perpendicular to Line LL ?

67.

What is the equation of the line that crosses through the points A(1, 0) and B(5, 8)?

68.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
69.

What is the Volume of the Square Pyramid?

a)

718.67 cm3

b)

2874.66 cm3

c)

2258.67 cm3

d)

1437.33 cm3

70.
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill in the well? 
a)
3248.9 ft3
b)
1570.8 ft3
c)
4712.4 ft3
d)
1178.1ft3
71.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
c)
They are the same
d)
Not enough information
72.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
73.
What is surface area?
a)
Inside of the object
b)
The sum of all the areas of all the shapes that cover the surface of the object.
c)
Something Mrs. MacGregor made up?
d)
Surface area is what you get when you boil unicorn tears. 
74.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right two, down five
b)
right two, down 9
c)
left two, up 9
d)
left two, down 5
75.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
76.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
77.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
78.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
79.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
80.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2

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