WorksheetsQuestion Bank for Grade 9 Mathematics
Total questions: 262
Worksheet time: 10hrs 2mins
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
h(x)=x2−3x−9
h(x)=x2+3x−9
h(x)=x2−6x
h(x)=x2+6x
(x³-2x²+3)+(2x³+3x²-1)
(3x²-3x+2)-(x²-2x+1)
A
B
C
D
a
b
c
d
a
b
c
d
a
b
c
d
Solve the system of inequalities by graphing.
A=1200(.85)6
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
What type of correlation does this graph have?
Negative
no association
positive
Which sentence describes the relationship shown on this scatter plot?
As the temperature decreases, the visitors increase.
As the temperature increases, the number of visitors increases.
As the visitors increase, the temperature decreases.
No correlation
Correlation or Causation?
When it rains several inches, the water level of a lake increases
Correlation
Causation
Find the mean, median and mode of the set of data. Round you answer to the nearest tenth.
1,7,11,27,36,14,12,9,1
Laura read six books in January, four books in February, and eight books in March. What was the average number of books read each month? __________
18
6
14
8
What is the range?
The sum of the largest and smallest number
The number in the middle
The difference between the largest and smallest number
The number that appears most often
If there is an even number of data in the data, set how do you find the median?
Order the data and find the middle value.
Order the data add the 2 middle values and divide by 2.
The mode score on the Mr. Ro's 6th grade math test was 94! Which of these interpretations must be correct?
99 was the highest score on the test.
More students received a 94 than any other score
No student scored below a 50
A score of 91 was slightly below average.
3, 4, 5, 5, 5, 6,7
The mode of these numbers is...
5
10
4
1
Identify this type statistical display.
Histogram
Bar graph
Line graph
Pie chart
What type of graph is this?
Dot Plot
Scatterplot
Pie Chart
Bar Graph
What is the shape of the data?
symmetrical
skewed left
skewed right
bell curve
What is the shape of the data?
symmetrical
skewed left
skewed right
bell curve
Waiting time in a waiting room
Categorical
Quantitative
Blood type
Categorical
Quantitative
Another word used to describe quaNTitative data is...
Categorical
Numerical
What type of distribution do you see?
Bell Shaped
Uniform
Bimodal
Skewed
What type of distribution do you see?
Bell Shaped
Uniform
Bimodal
Skewed
The frequency table shows the colors that fifth graders preferred for their field day shirts.
Based on the data in the table, how many students preferred blue and orange?
60
56
59
53
A value much greater or much less than the others in a data set.
Outlier
Cluster
Gap
Frequency
A graph with points plotted to show a possible relationship between two sets of data.
Scatter Plot
Dot Plot
Line Plot
Frequency Table
Find the minimum.
5, 5, 9, 12,18, 22, 25,
5
8
4
9
What is the maximum?
64
65
66
67
What type of Data Display is this?
Line Graph
Histogram
Scatter Plot
Bar Graph
What is the length of the black line?
283 inches
2 inches
221 inches
3 inches
Measure the napkin to the nearest eigth!
6 4/8 inches
6 3/8 inches
7 1/8 inches
6 2/8 inches
Measure the cheeto to the nearest eighth!
2 4/8 inches
1 7/8 inches
2 6/8 inches
1 3/8 inches
Measure the red object in the picture to the nearest fourth!
5 3/4 inches
6 2/4 inches
5 1/2 inches
7 inches
5. On the typical customary (English) ruler what is the basic (smallest) unit of measurement?
A. 1/16" inch
B. 1/32" inch
C. 1/64" inch
D. 1/8" inch
10. Which statements is TRUE concerning the basic ruler?
A. Make sure you read the ruler from left to right.
B. If you are measuring something, align it with the left side of the ruler on the zero (0) mark
C. Where the object ends on the right, will be its measurement in inches
D. All of the above
It is a segment whose endpoints are the center a the center of a circle and a point on a circle.
Radius
Diameter
Chord
Secant
It is the largest chord of a circle.
Center
Radius
Secant
Diameter
What part of the circle is segment DC?
Diameter
Secant
Chord
Tangent
What part of the circle is segment AB?
Diameter
Radius
Chord
Tangent
What part of the circle is line E?
Diameter
Radius
Chord
Tangent
Name the tangent in the given figure above.
Line DC
Line EF
Line A
Line B
Name the radii in the given figure above.
Segment OA & OE
Segment OA & OB
Segment OA, OB, & OE
Segment OA, OB, OE, & DC
Name the diameter in the given figure above.
Segment OF
Segment OB
Segment EB
Segment OA
A=1200(.85)6
A=10(1.01)3
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Identify the initial value:
y = 6.87 (4)x
a = 4
a = 6.87
a = 3
a = 1
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?
60
92
70
76
The outside temperature and the amount of layers you wear.
If two quantities A and B exhibit a negative correlation, then as quantity A increases, quantity B would . . .?
stay the same
increase
decrease
If two quantities A and B exhibit a positive correlation, then as quantity A increase quantity B would . . .?
increase
decrease
stay the same
Students in a science class investigated how the speed of changes with the air temperature outside. The data is shown in the scatterplot.
Based on the scatterplot, what is the best prediction of the speed of sound when the air temperate is 50 degrees C?
350 m/s
362 m/s
358 m/s
348 m/s
The scatterplot shows the number of people in each of 8 different households and the average amount of money each household spent on groceries.
Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household that has 7 people?
$240
$190
$210
$285
Which scatterplot suggests a linear relationship between x and y?
y = 2x
y = x - 1
hint : notice the equation is in the form of y=
y = 2x
y = x - 1
7x + 2y = 10
-7x + y = -16
hint : opposite coefficients... (+7x & -7x)
7x + 2y = 10
-7x + y = -16
x = 12 y - 14
3y + 2x = 26
hint : equation is in the form of x =
x = 12 y - 14
3y + 2x = 26
-20x + 7y = 137
4x + 5y = 43
The SI Unit is also known as the __________ System of Units.
metric
International
Decimal
Imperial
Which SI unit is used for measuring length?
gram
liter
meter
Kelvin
What SI Unit is used to measure mass?
liter
meter
gram
Kelvin
Which of the following represents the smallest prefix of the group?
milli
deci
deka
kilo
When you are converting from a smaller measurement to a larger measurement in the metric system, what direction does the decimal move?
left
right
stays the same
it disaoppears
When you are converting from a larger measurement to a smaller measurement in the metric system, what direction does the decimal move?
right
left
stays the same
decimal disappers
1 kg = ______ grams
10
100
1000
1000000
35 cm = ______ meters
350 meters
3.5 meters
0.35 meters
0.00035 meters
Which is larger, 50 kilograms or 5000 grams?
they are the same
50 kilograms
5000 grams
Which is larger, 765 centimeters or 8000 millimeters?
765 centimeters
8000 millimeters
they are the same
Convert 10 km to m
100 m
1000 m
10000 m
0.1 m
Convert 35789 mg to kg
3.5789 kg
0.35789 kg
35.789 kg
0.035789 kg
What is longer:
1 meter OR 1 yard
1 meter
1 yard
they are the same
it depends
3.9 km = __________ m
390
39
3,900
3,900,000
Rachel's balloon floated 78.9 m into the air before bursting. Linda's balloon floated 85 m. How many centimeters farther did Linda's balloon float than Rachel's?
6.1 m
610 cm
6.1 cm
0.61 m
If 1kg = 2.2 pounds, how many pounds will you find in two kilograms?
4.4 lb
4 lb
8.8 lb
5.5 lb
If 1 mile = 1.6km, how much are 8 miles in kilometres?
12.5 km
12.88 km
12.22 km
12.97 km
If 1 gallon = 4.5l how much are 18 litres in gallons?
4 gallons
5 gallons
3 gallons
2 gallons
If 1 inch = 2.5cm, how many cm are 7 inches?
11.5 cm
18.5 cm
17.5 cm
15.5 cm
If 1 pint = 0.6 litres, how much are 2.4 l in pints?
3 pints
4 pints
5 pints
3.5 pints
What is the degree of this polynomial?
x² + 4x - 8
trinomial
quadratic
quartic
polynomial
What is the classification of the following polynomial?
x4 - 8x + 10
cubic trinomial
quintic trinomial
quadratic trinomial
quartic trinomial
Add the following polynomials:
(x³ - 2x² + 3) + (2x³ + 3x² - 1)
3x³ - 2x² + 3x + 2
3x³ -5x² - 2
3x³ + x² + 2
3x³ -x² + 1
Subtract the following polynomials:
(3x² - 3x + 2) - (x² - 2x + 1)
2x² - x + 1
2x² +x + 1
2x² -5x + 3
4x² -5x + 3
Simpliy: 3x2 + 5x2
8x
8x2
2x
2x2
Which term represents a "constant?"
3x
4x2
5
x
What is the coefficient of this term?
9x3
None
9
3
x
The degree of a polynomial is the highest degree of its terms.
True
False
Solutions to polynomial equations are called.......
Degree
Zero
Roots
Coefficient
A monomial has how any terms?
4 or more
1
2
3
A Binomial has how many terms?
3
4 or more
1
2
A Polynomial has how many terms?
4 or more
3
2
1
A trinomial has how many terms?
2
1
3
4 or more
What is the degree of the term 4x2y3 ?
6
5
None
I don't know
Which shapes are congruent?
MK= ____
∠Y≅ _____
Which two figures appear to be congruent?
2 and 3
1 and 4
1 and 2
2 and 5
Solve 3x + 7 < 22
x < -29/3
x < -5
x < 29/3
x < 5
When do you "flip the inequalities sign"?
When you add or subtract a negative
When it's a 1-step problem
When you multiply or divide a negative
When it's a 2-step problem
x < 3?
When do you use a closed circle on a graph for an inequality?
When it is ≥ or ≤
When it is > or <
When the number in front of the variable is negative
When it is only =
Match the graph with its inequality.
a > 11
a < 11
a ≥ 11
a ≤ 11
Pick the correct letter for:
x < 6
A
B
C
D
Match the graph with its inequality.
11 < a
11 > a
11 ≤ a
11 ≥ a
2x > 12
x > 6
x < 6
x ≥ 6
x ≤ 6
10 ≥ x - 3
x ≤ 13
x ≥ 13
x ≤ 7
x ≥ 7
8x ≥ -32
x ≥ -4
x ≥ 4
x ≤ -4
x ≥ 4
77 ≤ 5 + 8n
Left 6, up 5
Left 6, down 5
Right 6, up 5
Right 6, down 5
(4, -3)
(-6, 1)
(4, 0)
(-2, 1)
Find the vertex of point D' after rotating figure ABCDE 90º about the origin.
(-6, 4)
(4, 6)
(-4, 6)
(4, -6)
Describe the transformation that maps RSTU onto R'S'T'U'.
Reflect over x = 1 and translate 2 units down.
Translate 8 units right and 2 units up.
Reflect over x = 1 and translate 2 units up.
Translate 8 units left and 2 units down.
Which two figures are congruent?
Figures A and B
Figures A and C
Figures A and D
Figures C and D
Describe the sequence of transformations that maps Figure A to Figure C.
Rotate Figure A 180º and then translate it 1 unit left.
Rotate Figure A 90º and then reflect it over the x-axis.
Rotate Figure A 90º, reflect if over the x-axis, and then translate it 1 unit down and 1 unit to the left.
Rotate Figure A 180º and then translate it 1 unit down and 1 unit left.
Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.
Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.
Yes. A translation 2 units up and 4 units right maps ADE to ABC.
No. ABC is not similar to ADE.
Reflection across the x-axis, translation down 4 and right 1.
Rotation 180° about the origin, translation down 1 and right 2.
Rotation 180° about the origin, translation down 2 and right 2.
Reflection across the x-axis, down 6 and right 3.
m∠1 = m∠6
m∠2 = m∠6
m∠1 + m∠6 = 180°
x = 90°
x = 120°
∠1 = 30°, m∠2 = 35°
∠1 = 35°, m∠2 = 30°
∠1 = 65°, m∠2 = 60°
∠1 = 85°, m∠2 = 80°
Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.
24º
51º
54º
75º
81º
What symbol represents mean?
Σ
π
μ
😢
What symbol represents summation?
ë
Θ
Δ
Σ
Mackenzie and Dalinda are trying to determine which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?
3
6
7
11
Calculate the mean, median, mode and range for the following employee salaries of 10 employees. Write these answers down, you will need them for another question!!
$28,000 $25,000 $31,000 $26,000 $26,000
$64,000 $24,000 $27,000 $81,000 $29,000
If the employees wanted to demonstrate the need for a raise, which average would they use to show they are being underpaid: the mean or the median? Explain.
To get a grade of B, a student must have a mean average of 80 or greater. John has a mean average of 79 for 10 quizzes. He approaches his teacher and asks for a B, reasoning that he missed a B by only one point. What is wrong with John's reasoning?
3, 4, 5, 5, 5, 6,7
The range of these numbers is ...
15
4
2
5
I have been running to keep stay in shape. These are the number of miles I have been running this week: 5, 4, 3, 5, 4.5, 5.5 and 2.5. What is my mean running distance?
3.5
4.75
4.21
3.71
3x - 5 = 20
Solve for a
a= -2
a= -7.5
a= 2
a= 6
Solve for a
a= 9
a= -9
a= -5
a= 5
3(x - 2) = 18
R: {0, 1, 2, -4}
R:{-4, -3, 1}
R:{1, -3, -4}
R: {1, -3, -4, 1}
What is the Domain?
-3 < x ≤ 3
-4 ≤ x < 5
-4 ≤ y ≤ 5
-3 < y ≤ 3
What is the value of x when f(x) = 16?
x = 4 only
x = 4 and x = 8
x = 16
Not on the graph
Give the x-intercept
(0,-2)
(-2,0)
(1,0)
there is no x-intercept
What is the measure of the angle "?"
70º
90º
105º
210º
What is the value of x?
x = 160º
x = 40º
x = 80º
x = 26.7º
Find the value of the angle marked x....
40
45
50
60
Find the value of the angle marked x....
50
100
80
45
What is the value of the missing angle "?"
62º
56º
50º
46º
Which is the correct way to solve this?
x = 70º/2
x = 180º/2
x=(180º+70º)/2
x=(180º-70º)/2
Find the value of the angle marked x....
102
51
129
78
