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WorksheetsCPM Grade 6 Chapter 3
Total questions: 143
Worksheet time: 2hrs 40mins
What is the perimeter of a triangle with side lengths 7.25 cm, 8 cm, and 7.2 cm?
22.45 cm
21.45 cm
23.45 cm
20.45 cm
If a rectangle has a length of 8 inches and a width of 2 inches, what is its area?
16 square inches
10 square inches
20 square inches
12 square inches
If a rectangle has a length of 8 inches and a width of 2 inches, what is its perimeter?
20 inches
16 inches
18 inches
10 inches
Rachel says that when she ran 115 yards, she went farther than Beth, who only ran 327 feet. Is Rachel correct? (1 yard = 3 feet)
Yes, Rachel ran farther.
No, Beth ran farther.
They ran the same distance.
Not enough information.
Based on the histograms, which team has more players that are about the same height?
Tigers
Panthers
Both teams have the same
Neither team
Given the following equation: 5/3 × ___ = 15/18, what number should fill the blank?
1/5
3/5
1/6
1/3
Given the following equation: 28/63 × ___ = 1 × 4, what number should fill the blank?
9
4/1
63/28
28/4
Given the following equation: 9/20 × ___ = 1/100, what number should fill the blank?
1/45
1/9
20/9 × 1/100
1/45
Which of the following is a pair of numbers that add together to get 1?
2 and -1
0.5 and 0.5
1 and 1
2 and 2
Use the Distributive Property to simplify 12(309).
12 + 309
12 × 300 + 12 × 9
12 × 309 + 1
12 × 9
Match the following notebook quantities with their total costs.
$3.15
Three notebooks cost?
$2.25
Two notebooks cost?
$5.25
Five notebooks cost?
$1.75
One notebook costs?
Jing Ya takes the bus across town to school each morning. Last week, he timed his trips and found that the time varies day to day. The times (in minutes) are: 15, 10, 11, 13, 11. If you had to use one number to tell someone how long it took Jing Ya to get to school, what would you say?
The highest time, 15 minutes
The lowest time, 10 minutes
The average time, 12 minutes
The sum of all times, 60 minutes
Stacy exercises three days each week by walking around the soccer field near her home. The field is 80 yards wide and 115 yards long. What is the perimeter of the field?
195 yards
390 yards
320 yards
250 yards
If Stacy walks around the field four times each time she exercises, and she exercises three times a week, how far does she walk each week?
1,170 yards
390 yards
780 yards
1,560 yards
A mile is 1,760 yards. If Stacy walks 1,170 yards each week, how many miles does she walk each week? (Round to the nearest hundredth.)
0.66 miles
1.17 miles
1.50 miles
0.50 miles
Which of the following is equivalent to 25% as a fraction?
1/4
1/3
1/2
1/5
Order the following portions from least to greatest: 40%, 1/4, 25%, 1/3.
25%, 1/4, 1/3, 40%
1/4, 25%, 40%, 1/3
25%, 1/4, 40%, 1/3
1/4, 25%, 1/3, 40%
Maribel has a coupon for 1/5 off the price of anything in the shop, and there is a 20% off sale. Which discount gives her a better deal?
1/5 off coupon
20% off sale
Both give the same discount
Neither gives a discount
What is the lowest common denominator for the fractions 3/8, 5/6, and 5/3?
24
48
8
6
What is the sum of 12.35 and 1.08?
13.43
11.27
13.53
12.43
If Maribel wants to find out how much she will save on a purchase of $34 with a 20% discount, what should she do first?
Multiply $34 by 0.20
Add $34 and 20
Divide $34 by 20
Subtract 20 from $34
Why is it helpful to use the lowest common denominator when adding fractions?
It makes the addition easier and the numbers smaller
It makes the numbers larger
It is required by all math rules
It is only used for subtraction
What does the 20% mark on Maribel’s percent ruler represent if the total is $34?
$6.80
$3.40
$17.00
$20.00
An article in the local paper states that 30% of the students at Oak Grove Middle School earned a place on the Silver Honor Roll. If there are 920 students at Oak Grove, the number of students on the Silver Honor Roll is (a) . Use a percent ruler to help you decide. Show all of your work.
Given the following descriptions of portions, write each portion as a percent. Use a 100% block to help you visualize the portions.
30%
8%
17%
1100%
Maurice’s gas tank can hold 60 liters of gas. On your paper, copy and label the percent ruler below. Then use it to find how many liters are in the tank when it is:
30 liters
42 liters
40 liters
36 liters
Alex earns $7.75 a day by walking dogs for his neighbors. If he walks dogs for 12 days, how much money will he make? Show how you got your answer.
$93.00
$85.50
$100.00
$77.50
Use the Lesson 3.1.3B Resource Page, to shade in the amounts represented by the following descriptions, and then write them in the stated form. Shade 7 hundredths, and write the portion as a percent.
7%
0.7%
70%
0.07%
Use the Lesson 3.1.3B Resource Page, to shade in the amounts represented by the following descriptions, and then write them in the stated form. Shade 7 tenths, and write the portion as a fraction.
7/10
1/7
10/7
0.7/1
Use the Lesson 3.1.3B Resource Page, to shade in the amounts represented by the following descriptions, and then write them in the stated form. Shade 28%, and write the portion as a fraction.
28/100
14/50
2/8
1/28
Use the Lesson 3.1.3B Resource Page, to shade in the amounts represented by the following descriptions, and then write them in the stated form. Shade 31.5%, and write the portion as a decimal: (a)
Given the numbers 18% and 0.7, explain which number is larger by using words and/or pictures.
0.7 is larger than 18%
18% is larger than 0.7
Both are equal
Cannot be compared
Explain what 78.5% would look like on a 100% block. Then write it as a decimal.
0.785
7.85
0.0785
78.5
What is the sum of 2/3 + 3/2 + 3/7?
41/14
13/6
7/3
5/2
What is the result of the following operation: 32−125 ?
41
31
92
121
What is the result of the following operation: 54+1211 ?
6083
1715
87
65
Match each mark position with the correct number to keep the scaling consistent from 0 to 16.
8
What number should be placed at the middle mark?
4
What number should be placed at the first quarter mark?
12
What number should be placed at the third quarter mark?
10
What number should be placed at the five-eighths mark?
If the first mark is at 0 and the second mark is at 50, what number should be placed at the fourth mark to keep the scaling consistent?
150
100
200
75
For the given hundred block diagram, which of the following is the correct way to represent 25 shaded squares?
25%, 0.25, 10025 , "twenty-five out of one hundred"
50%, 0.5, 21 , "half"
10%, 0.1, 101 , "ten out of one hundred"
75%, 0.75, 43 , "seventy-five out of one hundred"
Estimate the amount of gas left in the car’s gas tank as shown in the gauge.
43
21
41
31
Randall and Stephano worked different days and earned different amounts. Who earned the most money, and by how much?
Randall earned $117.00, $30.00 more than Stephano.
Stephano earned $94.50, $22.50 more than Randall.
Randall earned $117.00, $22.50 more than Stephano.
Stephano earned $117.00, $30.00 more than Randall.
In this lesson, you looked for ways to convert between equivalent forms of fractions, decimals, and percents. Using the portions web, write the other forms of the number for each of the given portions below. Show your work so that a team member could understand your process. Write 3/5 as a decimal, as a percent, and with words/picture.
0.6, 60%, three-fifths
0.3, 30%, three-fifths
0.5, 50%, three-fifths
0.8, 80%, three-fifths
In this lesson, you looked for ways to convert between equivalent forms of fractions, decimals, and percents. Using the portions web, write the other forms of the number for each of the given portions below. Show your work so that a team member could understand your process. Write 0.30 as a fraction, as a percent, and with words/picture.
3/10, 30%, three-tenths
1/3, 33%, one-third
3/100, 3%, three-hundredths
30/1, 3000%, thirty
In this lesson, you looked for ways to convert between equivalent forms of fractions, decimals, and percents. Using the portions web, write the other forms of the number for each of the given portions below. Show your work so that a team member could understand your process. Write 85% as a fraction, as a decimal, and with words/picture.
17/20, 0.85, eighty-five percent
8/5, 0.85, eighty-five percent
85/10, 0.58, eighty-five percent
85/1000, 8.5, eighty-five percent
In this lesson, you looked for ways to convert between equivalent forms of fractions, decimals, and percents. Using the portions web, write the other forms of the number for each of the given portions below. Show your work so that a team member could understand your process. Write one and twenty-three hundredths as a percent, as a decimal, and as a fraction.
123%, 1.23, 123/100
12.3%, 0.123, 123/10
1.23%, 123, 1/23
1230%, 12.3, 1/123
Maya and Logan made up a “Guess my Decimal” game just for you. Use their clues to determine the number. Maya gives you this clue: “The decimal I am thinking of is 3 tenths greater than 80%. What is my decimal?”
1.1
0.83
0.8
0.3
Maya and Logan made up a “Guess my Decimal” game just for you. Use their clues to determine the number. Logan continues the game with this clue: “My decimal is 3 hundredths less than 3 tenths.” Use pictures and/or words to show your thinking.
0.27
0.33
0.03
0.3
Amanda and Jimmy have jobs as dog walkers. Examine the graph at right and answer the following questions. Who has more hours of dog walking? How do you know?
Amanda, because her point is farther to the right on the graph.
Jimmy, because his point is higher on the graph.
Amanda, because her point is higher on the graph.
Jimmy, because his point is farther to the right on the graph.
Amanda and Jimmy have jobs as dog walkers. Examine the graph at right and answer the following questions. Who has earned the least amount of money? How do you know?
Jimmy, because his point is lower on the graph.
Amanda, because her point is lower on the graph.
Amanda, because her point is higher on the graph.
Jimmy, because his point is higher on the graph.
Amanda and Jimmy have jobs as dog walkers. Examine the graph at right and answer the following questions. Are both students earning the same amount of money per hour? Show your work to justify your answer.
No, because the points are not on the same line.
Yes, because the points are on the same line.
Yes, because Amanda worked more hours.
No, because Jimmy earned less money.
Preston picked five playing cards and got a 2, 3, 3, 6, 5, and 1. What two-digit and three-digit numbers could he create that would have the greatest sum? Is there more than one possibility? What is that sum?
65 and 321, sum is 386
63 and 521, sum is 584
36 and 521, sum is 557
53 and 621, sum is 674
Preston picked five playing cards and got a 2, 3, 3, 6, 5, and 1. What two-digit and three-digit numbers could he create that would have the smallest sum? Is there more than one possibility? What is that sum?
12 and 335, sum is 347
13 and 235, sum is 248
21 and 335, sum is 356
23 and 135, sum is 158
Use the Distributive Property to rewrite each product below. Simplify your answer. 28 · 63
(20 + 8) × 63 = (20 × 63) + (8 × 63)
(30 + 8) × 63 = (30 × 63) + (8 × 63)
(28 + 60) × 3 = (28 × 3) + (60 × 3)
(20 + 3) × 68 = (20 × 68) + (3 × 68)
Use the Distributive Property to rewrite each product below. Simplify your answer. 17(59)
(10 + 7) × 59 = (10 × 59) + (7 × 59)
(17 + 50) × 9 = (17 × 9) + (50 × 9)
(10 + 9) × 57 = (10 × 57) + (9 × 57)
(7 + 10) × 95 = (7 × 95) + (10 × 95)
Use the Distributive Property to rewrite each product below. Simplify your answer. 458(15)
(400 + 50 + 8) × 15 = (400 × 15) + (50 × 15) + (8 × 15)
(450 + 8) × 15 = (450 × 15) + (8 × 15)
(400 + 58) × 15 = (400 × 15) + (58 × 15)
(40 + 58) × 15 = (40 × 15) + (58 × 15)
What percent of Walter's total mixture is water if he uses a water-to-cement ratio of 20 to 30?
20%
30%
40%
50%
How could the sum of 3/10 + 21/100 be written using decimals? What is the sum as a decimal?
0.3 + 0.21 = 0.51
0.3 + 0.21 = 0.31
0.3 + 0.21 = 0.41
0.3 + 0.21 = 0.50
If you walk forward 5 feet and then walk backward 5 feet, what is your final position relative to where you started?
5 feet ahead
5 feet behind
At the starting point
10 feet ahead
What is the area of the L-shaped figure made from Base Ten Blocks if one side is 10 units and the other is 3 units?
30 square units
13 square units
21 square units
23 square units
Given the following set of grades: 50, 55, 57, 60, 62, 65, 78, 80, 82, 85, 88, 90, 91, 93, 95, 96, 98, 99, what type of graph would best display the distribution of these grades?
Line graph
Histogram
Pie chart
Scatter plot
Lucas’ frog is sitting at –2 on the number line. His frog hops 4 units to the right, 6 units to the left, and then 8 more units to the right. Write an expression (sum) to represent his frog’s movement.
4 + (–6) + 8
–4 + 6 + (–8)
4 + 6 + 8
–4 + (–6) + (–8)
Lucas’ frog is sitting at –2 on the number line. Where does the frog land after all the hops?
4
2
–2
0
Lucas’ frog is sitting at –2 on the number line. What number is the opposite of where Lucas’ frog landed?
–2
2
0
–4
Draw and label a set of axes on your graph paper. Plot and label the following points: (1, 3), (4, 2), (0, 5) and (5, 1).
(1, 3), (4, 2), (0, 5), (5, 1)
(3, 1), (2, 4), (5, 0), (1, 5)
(1, 2), (4, 3), (0, 1), (5, 2)
(2, 1), (3, 4), (5, 0), (1, 5)
Rewrite 18(26) using the Distributive Property and simplify.
(10 + 8) × 26 = 260 + 208 = 468
(20 + 6) × 18 = 360 + 108 = 468
(10 + 8) × 26 = 180 + 286 = 466
(20 + 6) × 18 = 180 + 108 = 288
Rewrite 6(3405) using the Distributive Property and simplify.
(6 × 3000) + (6 × 400) + (6 × 5) = 18000 + 2400 + 30 = 20430
(6 × 3000) + (6 × 400) + (6 × 5) = 18000 + 2400 + 30 = 20430
(6 × 3000) + (6 × 400) + (6 × 50) = 18000 + 2400 + 300 = 20700
(6 × 3000) + (6 × 40) + (6 × 5) = 18000 + 240 + 30 = 18270
Rewrite 21(35) using the Distributive Property and simplify.
(20 + 1) × 35 = 700 + 35 = 735
(30 + 5) × 21 = 630 + 105 = 735
(20 + 1) × 35 = 600 + 35 = 635
(30 + 5) × 21 = 600 + 105 = 705
Compute 9/10 + 7/9.
1 61/90
1 16/19
1 7/10
1 8/9
Compute 1/2 – 3/11.
5/22
4/11
7/22
1/6
2/5 – 1/15 equals (a) .
A seed mixture contains ryegrass and bluegrass. If 40% of the mixture is ryegrass, what is the ratio of ryegrass to bluegrass?
2:3
3:2
4:5
1:1
Find the missing value in each number sentence. 4 – 3.5 + 3.5 – 1 = ______
3
2
1
0
Find the missing value in each number sentence. –2 + 4 + 4 = ______
10
6
8
4
Find the missing value in each number sentence. 5 1/3 – 7 – 5 1/3 = ______
–7
–5
–12
0
Find common denominators and calculate each of the following sums. 3/8 + 1/4
5/8
1/2
3/12
7/8
Find common denominators and calculate each of the following sums. 2/9 + 1/3
5/9
1/6
3/12
7/9
What is the least common multiple of 8 and 4? Of 5 and 3?
8 and 15
12 and 10
16 and 30
4 and 5
Explain how finding the least common multiple of two numbers can help you add fractions.
It helps you find a common denominator.
It helps you multiply the fractions.
It helps you subtract the fractions.
It helps you divide the fractions.
Copy the vertical number lines and use them to show the solution to the problems. 5 – 2
3
7
2
1
Copy the vertical number lines and use them to show the solution to the problems. 2 + 1
1
2
3
4
Show how to find the answer to –3 + 4 – 1 on a number line.
Start at –3, move right 4, then left 1.
Start at 0, move left 3, then right 4, then left 1.
Start at 4, move left 3, then right 1.
Start at –1, move right 3, then left 4.
Rachel said that –4 – 3 ends up being positive because two negatives always give a positive. Do you agree or disagree?
Disagree, because adding two negatives results in a more negative number.
Agree, because two negatives make a positive.
Disagree, because subtraction always makes numbers positive.
Agree, because negatives cancel each other out.
The yearbook staff at Jefferson Middle School has been busy taking pictures. Of the 574 pictures the staff members have taken, only 246 of the pictures will make it into the yearbook. Approximately what portion of the pictures that were taken will make it into the yearbook?
About 1/2
About 1/4
About 1/3
About 2/3
Carefully copy the graph and point A on a piece of graph paper. What is the name of the shape that you drew by connecting the points in order and returning to point A?
Trapezoid
Rectangle
Parallelogram
Quadrilateral
Simplify the following expression. Show your work. 8.23 + 10.9
19.13
18.23
20.13
17.13
Simplify the following expression. Show your work. –6 – 9
–15
–3
3
15
Simplify the following expression. Show your work. 8 – 3 – 4
1
5
-1
0
Simplify the following expression. Show your work. 0 – 3
–3
3
0
–6
Simplify the following expression. Show your work. 15 – 20
–5
5
35
-35
Simplify the following expression. Show your work. –9 + 14
5
–23
–5
3
Simplify the following expression. Show your work. 11/15 – 7/20
16/60
1/3
7/60
16/15
Simplify the following expression. Show your work. 5 – 9
–4
4
–14
14
If I add 9 to my number, I get 6. What is my number?
–3
3
–6
0
If I start at –5 on a number line and end up at –8, what direction did I move? How many units did I move?
Left, 3 units
Right, 3 units
Left, 13 units
Right, 8 units
If I moved up 8 and then moved down 8, what can you tell me about my ending position?
You are back at your starting position
You are 8 units above your starting position
You are 8 units below your starting position
You are 16 units away from your starting position
Sketch the number lines on your paper and fill in the missing numbers. –6, –4, –2, 0
–6, –4, –2, 0
–5, –3, –1, 1
–7, –5, –3, –1
–8, –6, –4, –2
Sketch the number lines on your paper and fill in the missing numbers. –15, –10, __, 20
–15, –10, –5, 0, 5, 10, 15, 20
–15, –10, 0, 10, 20
–15, –10, –20, 20
–15, –10, 10, 20
Sketch the number lines on your paper and fill in the missing numbers. –7, 0, __, 21
–7, 0, 7, 14, 21
–7, 0, 5, 15, 21
–7, 0, 10, 20, 21
–7, 0, 3, 13, 21
The space inside a shape is its .
(a)
(a) is the number of square units needed to cover a given surface.
(a) means to find area.
When finding the area of a shape the units are written as (a)
units2
Match the following
Carpet on the floor
area
picture frame
perimeter
painting a wall
area
running around a track
perimeter
(a) is the distance around a figure. (b) is
the total number of (c) units that
cover a figure. We figure out the perimeter by (d) all of the side lengths. We figure out the area by (e) two adjacent sides. Sides are adjacent if they meet at a point.
Area measures the number of squares (a) an abject. (b) measures the distance (c) an object.
The total space taken up by a flat (2-D) surface (like tiles on a floor) or shape of an object is (a) .
perimeter =
8 in.
length = 3 in.
width = 1 in.
area = 8 sq. in.
length = 4 in.
width = 2 in.
perimeter =
10 in.
length = 3 in.
width = 2 in.
area = 10 sq. in.
length = 10 in.
width = 1 in.
perimeter =
12 in.
length = 3 in.
width = 3 in.
Given the two rectangles below. Find the area of the shaded region.
(a)
62 square units
64 square units
66 square units
To find the area of the tilted square, surround it with a square (that has an area of (a) ). Then find the area of one triangle ( (b) ) and since there are four triangles (total area = (c) ). Then do BIG SQUARE minus TOTAL TRIANGLES = area of tilted square = (d) .
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.
(a)
10 square units
14 square units
26 square units
32 square units
Find the Area.
HINT: FIND THE MISSING SIDES, THEN SECTION OFF TWO RECTANGLES. A = b(h)
Plot the point (-4,-5)
Where would the point (-2, 2) and (4, -2) be placed on the coordinate grid?
Plot these points on the top right side of the graph.
Where is the circle located?
(1, -5)
(1, 5)
(-5, 1)
(-5, -2)
Complete together: The (a) gets plotted first. The (b) gets plotted 2nd. First we move (c) along the x-axis and then (d) parallel to the y-axis.
Draw the figure using the given points
Plot the points from the table in a coordinate plane.
Drag and label each point on the graph.
Drag and label each point on the graph.
(4, -3)
(4, 3)
(-5, 3)
(-4, -3)
(3, -5)
Click to plot where 43 and 52 would be on these two number lines.
Match the following
A
-2
B
1
C
3
Choose the point that represents 85 on the number line.
What fraction does point H represent on the ruler below?
Place the equivalent fraction in the correct place on the number line.
Which point represents 41 on the number line below?
What fraction is located at A?
Match the following answers to each question.
1/4
2/3
2/4
3/4
1/3
Think of each segment in the figure as part of a line. All the angles are right angles.
The line that is parallel to line CF is line (a)
The line that is perpendicular to line CF is line (b)
The line that is skew to line CF is line (c)
What fraction is represented by the cupcake?
(a) is located at point A on the number line.
32
42
22
23
Label the correct integer on the number line.
-14
-2
-20
-15
-7
-1
-12
Click to plot where 43 and 52 would be on these two number lines.
What is the value of 3 83+21÷54×2 ?
The store is 20 miles away and we have already driven 4 ½ miles. We need to drive (a) more miles until we reach the store.
15 21
There is 31 pound of applesauce to split between 5 family members. How much
applesauce would each person get?
In a cookie jar, 1/4 of the cookies are chocolate chip, and 1/2 of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Write your equation... read carefully!!!!
(a) (b) (c) (d)
21
43
41
At a clothing store, Zoey bought 2 shirts for $7.25 each and 2 pairs of jeans for $24 each. She used a coupon for $10 off the total price of the clothes. The discounted price of the clothes Zoey bought can be found using this expression.
[2(7.25)+2(24)]−10
What is the discounted price in dollars and cents of the clothes Zoey bought?
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of the caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of the caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?
12÷53
What is the value of this expression?
¿Cuál es el valor de esta expresión?
9 1÷7=
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of the caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?
