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WorksheetsGrade 6 End of Course Test
Total questions: 79
Worksheet time: 40mins
You have 3 2/5 books to read to complete a series. You equally divide the reading over the next 5 weeks. What portion of a book do you read each week?
17/25
2/5
19/20
4/5
A recipe uses 1/2 cup of flour for every batch. How many batches can be made with 8 1/3 cups?
16.67 or 16 2/3
8.5
12.5
20
Find the quotient. 21,630 ÷ 5 = _____
4,326
4,216
4,136
4,236
You have 455.92 in your savings account. You buy a television for $157.23 and a game for $41.56. How much money do you have left in your savings account?
$198.79
$257.13
$298.69
$414.36
Which expression has the greatest value?
43 + 6
63÷9
6×18
56−42
The expression for “32 increased by a number c” is 32 + c.
True
False
The expression for “13 less than a number v” is 13 - v
True
False
The expression for “4 more than a number x squared” is 4 + x2 .
True
False
You are buying balloons for a party. Each pack of balloons costs $3. Write an expression that represents the total cost for n packs of balloons.
3n
n+3
n/3
3+n
Complete the table. The expression x3+43x has three terms.
True
False
Complete the table. The expression 7t4+6+5t3 has terms 7t4 , 6 , and 5t3 .
True
False
Complete the table. The expression 12b - 3b + 4 has a constant term of -3.
True
False
Complete the table. There are no coefficients in the expression x3+2x−1 .
True
False
Complete the table. The expression -(z/3) + 2 has a coefficient of 1/3.
True
False
Evaluate the expression 6x2 - (-7) when x = 2.
31
10
8
20
The height of an apple tree is (18 + 6t) inches after t years. Find the height of the apple tree after 6 years.
54
36
48
60
Simplify the expression. 0.5(8x + 6x - 4) = _____
7x - 2
7x + 2
14x - 2
8x - 2
3 × _____ = -24
-8
8
-6
6
Complete the table. A solution of the inequality 3x + 6 ≤ 28 is -3.
True
False
The solution of the inequality -6z ÷ 3 ≥ 4 is
z ≥ -2
z < -2
z < 2
z ≤ -2
Write an expression that represents 11 times the sum of 6 and a number r.
11(6 + r)
11(6r)
6 + 11r
(6 + r)11
You have $45 to spend on snacks for a hike. You buy 2 sports drinks that cost y dollars each and 3 protein bars that cost z dollars each. Which expression represents the amount of money you have left over?
45 + (2y + 3z)
45 - (2y + 3z)
45 - 2y + 3z
45 + 2y - 3z
Solve. y + 18 = 26 Solution: y = _____
8
6
10
12
A group of friends are taking a road trip from Seattle, Washington, to San Fransisco, California. They drive for 4 hours and stop in Portland, Oregon. It takes h hours to drive the rest of the way to San Fransisco. Write and solve an equation to determine how long the drive from Portland to San Fransisco takes when the total time spent driving is 9 hours.
Equation: 4 + h = 9 5 hours
Equation: 4 + h = 9 4 hours
Equation: 4 + h = 9 6 hours
Equation: 4 + h = 9 3 hours
Which of the following correctly represents 4 > x on a number line?
An open circle at 4 with shading to the left
A closed circle at 4 with shading to the right
An open circle at 4 with shading to the right
A closed circle at 4 with shading to the left
The boiling point of acetylene is −84°C. Choose an inequality to represent the temperatures at which acetylene will boil.
x ≥ −84
x ≤ −84
x > −84
x < −84
Identify the independent and dependent variables.
independent variable: number of texts sent and received; dependent variable: total monthly cost
independent variable: total monthly cost; dependent variable: number of texts sent and received
independent variable: number of texts sent and received; dependent variable: number of days in a month
independent variable: total monthly cost; dependent variable: number of days in a month
On a road trip, you travel 55 miles every hour. Select an equation to represent y, the total number of miles traveled, in terms of x, the number of hours you travel.
y = x + 55
y = 55x
y = x - 55
y = 5 (5x)
On a road trip, you travel 55 miles every hour. Complete the table. Time (hours) | Distance (miles) 1 | ______ 2 | ______ 3 | ______ 4 | ______ 5 | ______
1 | 55 2 | 110 3 | 165 4 | 220 5 | 275
1 | 50 2 | 100 3 | 150 4 | 200 5 | 250
1 | 60 2 | 120 3 | 180 4 | 240 5 | 300
1 | 45 2 | 90 3 | 135 4 | 180 5 | 225
A machinist creates a milling template that is composed of two shapes, a rectangle with a square on top. Find the total area, in centimeters, of the template.
22 square centimeters
25 square centimeters
77 square centimeters
260 square centimeters
Find the total volume, in cubic feet, of a rectangular prism with length of 21 feet, width of 43 feet and height of 351 feet.
The total volume is 1 51 cubic feet.
The total volume is 3 21 cubic feet.
The total volume is
2716 cubic feet.
The total volume is
1 73 cubic feet.
The base area of a building shaped like a rectangular prism is 36,000 square feet. The building is 10 stories high, and each story is a total of 13 1/2 feet high. What is the total volume, in cubic feet, of the building?
4,860,000 cubic feet.
486,000 cubic feet.
360,000 cubic feet.
5,400,000 cubic feet.
Find the distance between point A (−5, −6) and point B (3, −6).
8 units.
6 units.
10 units.
12 units.
A zoo is designing a ramp to the giraffe observation deck. A blueprint of the ramp is shown. All shaded surfaces will be exposed and will be covered with anti-skid paint. Part A What is the total surface area of the ramp?
The total surface area of the ramp is 782 square feet.
The total surface area of the ramp is 650 square feet.
The total surface area of the ramp is 900 square feet.
The total surface area of the ramp is 500 square feet.
A zoo is designing a ramp to the giraffe observation deck. A blueprint of the ramp is shown. All shaded surfaces will be exposed and will be covered with anti-skid paint. Part B How much of the surface area will not be painted?
285 square feet.
150 square feet.
320 square feet.
400 square feet.
Find the LCM of 9 and 6.
The LCM is 18.
The LCM is 54.
The LCM is 36.
The LCM is 27.
Factor the expression 80 - 24 using the GCF.
80 - 24 = 8(10 - 3)
80 - 24 = 4(20 - 6)
80 - 24 = 2(40 - 12)
80 - 24 = 16(5 - 2)
Determine the type of number that can be used to represent each scenario. Pounds of strawberries: ________
Positive Integer
Negative Integer
Fraction
Complex Number
Determine the type of number that can be used to represent each scenario. Owe $7 to a friend: ________
Negative Integer
Positive Integer
Fraction
Whole Number
Determine the type of number that can be used to represent each scenario. Ground floor of a parking garage: ________
0
1
-1
10
Determine the type of number that can be used to represent each scenario. Deep sea diving: ________
Negative Integer
Positive Integer
Fraction
Whole Number
Determine the type of number that can be used to represent each scenario. Altitude of a bird: ________
Positive Integer
Negative Integer
Fraction
Irrational Number
The road in a tunnel is 17 feet below ground. The road on a bridge is an equal distance above ground. How far above ground is the road on the bridge?
17
34
7
0
Which one is different?
7
– (–7)
opposite of –7
opposite of 7
Graph – (–5).
5 (The answer is 5, as the opposite of -5 is 5. The point should be graphed at 5 on the number line.)
-5 (This is the original number, not its opposite.)
0 (This is neither the number nor its opposite.)
-10 (This is unrelated to the opposite of -5.)
Write the ordered pair that represents a reflection of the point (−1, 7) in or across the x-axis.
(-1, -7)
(1, 7)
(-1, 7)
(1, -7)
Point A is 3 units left and 1 unit down from the origin. Write the ordered pair that represents the location of Point A.
(-3, -1)
(3, 1)
(-1, -3)
(3, -1)
Determine if the statement is true or false. −2 1/4 is to the right of 0 on a number line.
True
False
Determine if the statement is true or false. 3 1/3 is to the left of 0 on a number line.
True
False
Determine if the statement is true or false. −1.75 is to the left of 0 on a number line.
True
False
Determine if the statement is true or false. 1/2 is to the right of 0 on a number line.
True
False
Part A Plot A (2.5, -3) on the coordinate plane below.
A (2.5, -3) should be plotted 2.5 units to the right of the origin and 3 units down.
A (2.5, -3) should be plotted 2.5 units to the left of the origin and 3 units up.
A (2.5, -3) should be plotted 3 units to the right of the origin and 2.5 units down.
A (2.5, -3) should be plotted 2.5 units to the right of the origin and 3 units up. gro
Part B Identify the location of point A (2.5, -3).
on the x-axis
Quadrant IV
Quadrant I
Quadrant III
Quadrant II
Plot B (0, -3) on the coordinate plane.
B (0, -3) should be plotted on the y-axis, 3 units down from the origin.
B (0, -3) should be plotted on the x-axis, 3 units to the left from the origin.
B (0, -3) should be plotted on the y-axis, 3 units up from the origin.
B (0, -3) should be plotted on the x-axis, 3 units to the right from the origin.
Identify the location of point B (0, -3).
Quadrant III
on the x-axis
Quadrant IV
on the y-axis
Quadrant I
Write an inequality to represent the statement. $60 is more than $25.
$60 > $25
$60 < $25
$60 = $25
$60 ≥ $25
Select all statements that represent 82 > 17.
17 equals 82.
17 is less than 82.
82 is less than 17.
17 is greater than 82.
82 is greater than 17.
Find the absolute value. |−18| = _____
18
-18
0
-1
Select all values that represent a negative number that has a distance of 6 from 0 on the number line.
−6
6
|−6|
−|6|
−|−6|
Find the distance between the points (2, −3) and (2, −24).
21
19
26
17
The location of your house is represented by the point (−2, 7) on a map. The location of your friend’s house is represented by the point (4, 7) on the map. If each unit square has a side length of 1 mile, how many miles do you live from your friend’s house?
6 miles
5 miles
7 miles
9 miles
What is the ratio of pennies to the total number of other coins?
3 : 12
2 : 12
4 : 12
5 : 12
The ratio 3 : _____ is equivalent to the ratio 15 : 35.
7
5
9
6
You pay $32 for 8 pounds of asparagus. Write a unit rate for the situation.
4
2
8
6
You pack 840 muffins into containers. There are 12 muffins in each container. How many containers of muffins are there?
70
60
80
90
A store sent 66 cans of food that were equally distributed in 6 boxes to a local fundraiser. Complete the ratio table.
11, 22, 33, 44, 55, 66
10, 20, 30, 40, 50, 60
12, 24, 36, 48, 60, 72
9, 18, 27, 36, 45, 54
Find the missing values in the ratio table. Oats (cups): 3/2, 3, 9/2, ______ Nuts (cups): 5/4, ______, ______, 5
Oats (cups): 3/2, 3, 9/2, 6 Nuts (cups): 5/4, 5/2, 15/4, 5
Oats (cups): 3/2, 3, 9/2, 5 Nuts (cups): 5/4, 2, 3, 5
Oats (cups): 3/2, 3, 9/2, 7 Nuts (cups): 5/4, 3/2, 2, 5
Oats (cups): 3/2, 3, 9/2, 8 Nuts (cups): 5/4, 2, 4, 5
A scooter moving at a constant speed traveled 18 miles in 3 hours. How many miles did the scooter travel in one hour?
6
3
9
12
You have a piece of copper pipe that weighs 2.25 ounces. Copper is worth $3.92 per ounce. How much is the copper in the pipe worth, in dollars?
8.82
5.25
6.50
9.25
You pay $11.55 for an audio book that is on sale for 45% off the original price. What was the original price of the audio book?
21.00
15.00
18.50
25.00
10% of _____ is 17,000.
170,000
17,000
1,700,000
1,700
You have 5 kilograms of rock. How many pounds of rock do you have?
11
5
2.2
22
_____ oz = 4.5 lb (16 oz = 1 lb)
72
54
90
36
Which is a statistical question?
How many paintings are on this wall?
What is the largest state in the United States?
How many hours did I sleep last night?
What city has the best ocean views?
Which value describes the median of the data?
(7, 31, 20, 27, 25, 23, 12)
7
27
23
31
The table shows the distances of students' homes from a library. Select the dot plot that properly displays the data.
[dot plot image a]
[dot plot image b]
[dot plot image c]
[dot plot image d]
66 You keep track of your test scores one semester. Your results are: 93, 87, 92, 88, 90 Part A Find and interpret the number of data values.
There are 5 data values. So, you had 5 tests in one semester.
There are 4 data values. So, you had 4 tests in one semester.
There are 6 data values. So, you had 6 tests in one semester.
There are 3 data values. So, you had 3 tests in one semester.
You score 6, 11, 7, 13, 10, 5, and 16 points in seven basketball games. Part A Find the mean of the data to the nearest hundredth.
9.71
8.43
10.25
12.00
You score 6, 11, 7, 13, 10, 5, and 16 points in seven basketball games. Part B Find the MAD of the data to the nearest hundredth.
3.43
2.57
4.12
5.01
