Cumulative Unit Assessment: Unit 5 and Unit 6
Class Information
School
City _____________________________________ State ___________
Teacher (Mathematics Class)
Student Information
Grade
First Name
Last Name
Date of Birth _____ (month) _____ (day) _____ (year)
Male ❒ Female ❒
Have you attended a Ramp-Up course since the beginning of the school year? Yes ❒ No ❒
How many years have you attended this school? _____ years
Do you usually speak English at home? Yes ❒ No ❒
Does anyone in your home usually speak a language other than English? Yes ❒ No ❒
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Cumulative Assessment (Units 5–6): Page 1 of 12
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313
Ramp-Up to Algebra
Which fraction represents 125%?
A
125
10
B
125
100
C
100
125
D
125
1000
2.
Hours
Worked
2
n
2n
There is no constant
of proportionality.
A
B
C
D
This table shows how much Leanne is
paid for the hours she works.
Pay Rate
1
$6
2
$12
3
$18
4
$24
A dime weighs 2 grams.
The weight W of n dimes is
W = 2n grams.
What is the constant of proportionality
in the formula for W?
5.
Grapes cost $2.30 per kilogram.
Which graph shows this?
A
B
Cost
1.
4.
Cost
Part A
Kilograms of Grapes
C
D
3.
A
B
C
D
$30
$42
$48
$70
Cost
A
B
D
Cost
C
At this rate, how much will Leanne be
paid for working 7 hours?
Kilograms of Grapes
Kilograms of Grapes
Kilograms of Grapes
The ratio 10 : 2 can also be written as
5:1
10 : 8
10 : 12
20 : 2
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Cumulative Assessment (Units 5–6): Page 2 of 12
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Cumulative Unit Assessment: Unit 5 and Unit 6
6.
Which one of the following is a table
for the equation y = 3x?
A
x
–3
0
3
y
0
3
6
7.
Which of the following graphs shows
a proportional relationship?
y
A
4
3
2
1
B
x
–3
0
3
y
–9
0
9
–4 –3 –2 –1
–1
1
2
3
4
1
2
3
4
1
2
3
4
1
2
3
4
x
–2
–3
–4
C
x
–3
0
3
y
–6
–3
0
y
B
4
D
x
–3
0
3
y
–1
0
1
3
2
1
–4 –3 –2 –1
–1
x
–2
–3
–4
y
C
4
3
2
1
–4 –3 –2 –1
–1
x
–2
–3
–4
D
y
4
3
2
1
–4 –3 –2 –1
–1
x
–2
–3
–4
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Cumulative Assessment (Units 5–6): Page 3 of 12
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Ramp-Up to Algebra
8.
Peter drew Shape A. He then enlarged
it to draw Shape B.
10. A recipe for 6 people requires 200 g
of sugar.
To the nearest 10 g, how much sugar
would be needed if the recipe was
increased to provide for 10 people?
Shape A
240 g
A
B
C
D
Shape B
What scale factor did he use to enlarge
Shape A?
A
B
C
D
9.
300 g
330 g
360 g
11. The ratio of the circumference C of
a circle to the radius r of the circle is
2π
.
always
1
3
4
12
16
Which graph represents the
relationship between C and r?
The ratio of the length of X to the
length of Y is 8 : 2.
A
B
C
C
X
r
Y
C
r
D
C
C
The length of X is 160 cm.
What is the length of Y?
A
B
C
D
32 cm
40 cm
128 cm
640 cm
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r
Cumulative Assessment (Units 5–6): Page 4 of 12
r
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Cumulative Unit Assessment: Unit 5 and Unit 6
12. Which one of the following tables
14. A baker uses 5 parts flour in a loaf of
shows a proportional relationship?
A
B
C
D
white bread and 3 parts flour in a loaf
of whole wheat of the same mass.
x
0
1
2
y
4
8
12
240 g of flour is used in one loaf of
whole wheat bread.
How much flour is used in one loaf of
white bread?
x
0
1
2
y
4
4
4
x
0
1
2
y
0
4
8
A
B
C
D
x
0
1
2
15. A new measure of length is the zeetle,
y
0
1
4
and the conversion rate between zeetles
and meters is
5 zeetles = 1 meter.
13. This is triangle X.
Jim’s apartment is 15 zeetles high and
Jim is 2 meters tall.
5
3
X
What is the ratio of the height of Jim’s
apartment to the height of Jim?
4
Which of the following triangles (not
drawn to scale) is similar to triangle X?
A
90 g
144 g
150 g
400 g
4
2
A
B
C
D
5:1
3:2
5:2
15 : 2
3
B
15
13
14
C
15
9
12
D
25
9
16
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Ramp-Up to Algebra
Part B
17.
16. Which two line segments are parallel?
K
During the last year, Susan has always
been 10 cm taller than her brother and
10 cm shorter than her sister.
Which graph best shows this?
J
L
A
sister
E
Height
F
M
G
brother
Time
H
B
brother
Susan
Height
I
A
B
C
D
Susan
K and H
M and I
J and G
L and F
sister
Time
C
Susan
Height
brother
sister
Time
D
Susan
Height
sister
brother
Time
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Cumulative Assessment (Units 5–6): Page 6 of 12
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Cumulative Unit Assessment: Unit 5 and Unit 6
18. Pronto Printing charges $150 for
19. What is the y-intercept of the
printing up to 100 pages and then $1.20
for each additional page.
Which graph best shows this?
graph below?
y
4
3
2
Cost (dollars)
A
1
-4 -3 -2 -1
x
1
2
3
4
-2
-3
-4
Number of Pages
Cost (dollars)
B
A
–1
B
1
2
C
2
−1
D
2
C
Cost (dollars)
Number of Pages
D
Cost (dollars)
Number of Pages
Number of Pages
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Cumulative Assessment (Units 5–6): Page 7 of 12
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Ramp-Up to Algebra
20. Which one of the graphs below does
21. What is the slope of the graph of
not represent a linear equation?
y
A
y = 2x + 3?
A
4
B
3
2
1
x
0
-4 -3 -2
1
2
3
C
D
4
-2
2
3
2
3
2
3
-3
-4
y
B
4
3
2
1
x
0
-4 -3 -2 -1
1
2
3
4
-2
-4
y
C
4
3
2
1
-4 -3 -2 -1
x
0
1
2
3
4
-2
-3
-4
y
D
4
3
2
x
-4 -3 -2 -1
0
2
3
4
-2
-3
-4
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Cumulative Assessment (Units 5–6): Page 8 of 12
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Cumulative Unit Assessment: Unit 5 and Unit 6
22. This table shows the x and y
y
A
4
coordinates of three points.
•
3
2
x
–2
1
3
y
2
–2
2
•
1
-4 -3 -2 -1
x
0
1
Which coordinate plane shows these
three points?
2
3
4
•
-2
-3
-4
y
B
4
•
3
•
•
2
1
-4 -3 -2 -1
x
0
1
2
3
4
-2
-3
-4
y
C
4
3
•
2
1
-4 -3 -2 -1
x
0
1
2
3
4
• •
-2
-3
-4
y
D
4
3
•
•
2
1
-4 -3 -2 -1
x
0
-2
1
2
3
4
|
321
•
-3
-4
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Cumulative Assessment (Units 5–6): Page 9 of 12
Ramp-Up to Algebra
25.
Use the information below to answer
problems 23 and 24.
y
4
3
2
The graph below shows the population of
a town.
-4 -3 -2 -1
Population of a Town
y
Population
1
x
0
2
1
3
4
-2
3000
-3
2500
-4
2000
1500
What is the slope of the graph?
1000
500
x
0
0
20
40
60
80
100
–
B
C
2
–2
D
1
2
120
Weeks
The population continues to grow at the
same rate.
1
2
A
23. Which of the following is the best
estimate of the population at 50 weeks?
A
B
C
D
1000
1300
1450
1500
80 weeks
90 weeks
100 weeks
120 weeks
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x
0
1
2
y
0
2
4
What is the slope of the graph of
this equation?
24. The population should reach 2000 at
A
B
C
D
26. Here is the table of a linear equation.
A
B
C
D
1
2
1
2
4
Cumulative Assessment (Units 5–6): Page 10 of 12
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Cumulative Unit Assessment: Unit 5 and Unit 6
John has to print some signs.
He hires a printer for $300.
Paper costs 5 cents per page.
The total cost for John to print 1000
signs would be $350.
29. Water is poured into a 5 L jug.
This table shows how much water
is contained in the jug at different
water levels.
What is the rule for calculating John’s
total cost in dollars, C, of printing
n signs?
C = 300 + 0.05n
C = 300 + 0.5n
C = 300 + 5n
C = 300 + 50n
Profit from School Dance
Volume of
water in the
jug (mL)
300
600
900
1200
200
300
400
Volume of Water (mL)
Profit ($)
B
Depth of Water (cm)
C
If more than 300 tickets are sold, the
profit increases at the same rate.
What is the difference in profit
between ticket sales of 400 tickets and
200 tickets?
$1000
$2000
$3000
$4000
8
Depth of Water (cm)
Tickets Sold
A
B
C
D
6
Volume of Water (mL)
A
school dance increases with ticket sales.
100
4
Which one of the following is most
likely to be the graph for this table?
28. This graph shows how the profit at a
3500
3000
2500
2000
1500
1000
500
0
–500
–1000
–1500
2
Volume of Water (mL)
A
B
C
D
Depth of
water (cm)
Depth of Water (cm)
D
Volume of Water (mL)
27.
Depth of Water (cm)
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Ramp-Up to Algebra
30. Kevin walks at a speed of 2 meters
per second.
Which graph shows Kevin walking at a
constant speed of 2 meters per second?
A
C
10
Distance (meters)
Distance (meters)
10
8
6
4
2
0
1
2 3 4 5
Time (seconds)
6
D
2
8
6
4
2
0
1
2 3 4 5
Time (seconds)
6
7
0
1
2 3 4 5
Time (seconds)
6
7
10
Distance (meters)
Distance (meters)
4
7
10
8
6
4
2
0
0
0
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6
0
0
B
8
1
2 3 4 5
Time (seconds)
6
7
Cumulative Assessment (Units 5–6): Page 12 of 12
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