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Math Problems
Grade 6
Evaluate variable expressions: word problems
Roselyn is driving to visit her family, who live
150
150
150
kilometers away. Her average speed is
60
60
60
kilometers per hour. The car's tank has
20
20
20
liters of fuel at the beginning of the drive, and its fuel efficiency is
6
6
6
kilometers per liter. Fuel costs
0
0
0
.
60
60
60
dollars per liter.
\newline
What is the price for the amount of fuel that Roselyn will use for the entire drive?
\newline
__________dollars
\newline
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\newline
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15: 1
15
:
1
. He currently has
40
40
40
grams of the spice blend, and he can go buy more if necessary. He wants to make
10
10
10
servings, where each serving has
75
75
75
grams of rice. Overall, David spends
4
4
4
.
50
50
50
dollars on rice.
\newline
What is the price of rice per gram?
\newline
________dollars per gram of rice
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The roof of Braeden's house is shaped like a pa The base of the roof is
12
m
12\,\text{m}
12
m
and the area is
11
11
11
number and unit to make a true statement.
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i-Ready
\newline
Divide a Decimal by a Whole Number - Instruction - Level E
\newline
x
x
x
\newline
Max divides
0
0
0
.
75
75
75
tablespoon of honey equally among the
3
3
3
jars. He uses
0.75
÷
3
0.75 \div 3
0.75
÷
3
to find how many tablespoons of honey are in each jar.
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Question
\newline
Show Examples
\newline
What is the total area, in square feet, of the shaded sections of the trapezoid below?
\newline
Answer Attempt
2
2
2
out of
2
2
2
\newline
A
=
A=
A
=
\newline
□
\square
□
f
t
2
\mathrm{ft}^{2}
ft
2
\newline
Submit Answer
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Mr. Free's science class measures rain for two months. In the first month, there was
2
5
\frac{2}{5}
5
2
of an inch of rain. In the second month, there was
1
5
\frac{1}{5}
5
1
of an inch of rain. What was the total amount of rain over the two months? How much would it have to rain in the third month to reach
4
5
\frac{4}{5}
5
4
of an inch for all three months?
\newline
Answer:
\newline
\qquad
\newline
Explain:
\newline
\qquad
\newline
\qquad
\newline
\qquad
\newline
35
35
35
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(D) Create and fill in the boxes: Use the hracket only once around two of the integers and put each of the symbols
t
t
t
,
x
x
x
and
÷
\div
÷
in the boxes to get the required answer.
8
□
2
□
1
□
6
=
4
8 \square 2 \square 1 \square 6=4
8
□
2
□
1
□
6
=
4
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Measurements of a room are
7
m
700
cm
,
6
m
&
3
m
75
cm
7\text{m}^{700\text{cm}},6\text{m} \& 3\text{m}75\text{cm}
7
m
700
cm
,
6
m
&3
m
75
cm
. And the length of the lingest rod that can measure all the three dimensions of the room.
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The time needed to paint a fence varies directly with the length of the fence and inversely with the number of painters. If it takes
5
5
5
hours to paint
200
200
200
feet of fence with
3
3
3
painters, how long will it take
5
5
5
painters to paint
500
500
500
feet of fence?
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Three runners cover a distance of
80
c
m
,
85
c
m
80 \mathrm{~cm} ,85 \mathrm{~cm}
80
cm
,
85
cm
and
90
c
m
90 \mathrm{~cm}
90
cm
in every step. Find the least distance which will be covered by each runner in whole steps. Also, find the number of whole steps taken by each runner.
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Extra Questions:
\newline
1
1
1
. A,
B
&
C
B \& C
B
&
C
start a game of Preparing bead necklaces.
A
A
A
takes
12
12
12
minutes,
B
B
B
takes
18
18
18
minutes \&
\newline
c.m C takes
24
24
24
minutes to prepare one necklace Affer how much dime all the three children stast to prepare a new necklace simultaneously
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Name
\newline
qquad Period
\newline
qquad
\newline
Complete the following questions ONE DAY AT A TIME!!
\newline
Use you reference sheet to solve the following. Week #$\(6\).\(24\)\(\newline\)Monday, \(\newline\)\(3/4\)\(\newline\)What is the formula for perimeter of an equilateral triangle? \(\newline\)qquad What is the perimeter of a triangle with all sides \(\newline\)\(6\,\text{cm}\) ? SHOW ALL WORK!\(\newline\)Tuesday, \(\newline\)\(3/5\)
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Find the perimeter of the figure below, in meters.
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of cylinders
\newline
G how to solve fro the hight of
c
\mathrm{c}
c
\newline
-- ixl.com/math/grade
−
8
-8
−
8
/surface-area-of-cylinders
\newline
Kahoot
\newline
YouTube
\newline
G Play Gimkit! -Enter..
\newline
Play Blooket
\newline
Clever | Portal
\newline
Q. Join a Quizizz activi..
\newline
Google Doc
\newline
My IXL
\newline
Learning
\newline
Assessment
\newline
Analytic:
\newline
W.
5
5
5
Surface area of cylinders FGU
\newline
The surface area of this cylinder is
803
803
803
.
3376
3376
3376
square centimeters. What is the height?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
h
≈
h \approx
h
≈
□
\square
□
centimeters
\newline
Submit
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of cylinders
\newline
(G) how to solve fro the hight of
\newline
a
a
a
\newline
-- ixl.com/math/grade
−
8
-8
−
8
/surface-area-of-cylinders
\newline
Kahoot
\newline
YouTube
\newline
Play Gimkit! - Enter...
\newline
Play Blooket
\newline
Clever | Portal
\newline
Q. Join a Quizizz activi...
\newline
Google Dor
\newline
My IXL Learning
\newline
Assessment
\newline
Analytic:
\newline
W.
5
5
5
Surface area of cylinders FGU
\newline
The surface area of this cylinder is
803.3376
803.3376
803.3376
square centimeters. What is the height?
\newline
Use
\newline
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
h
h
h
~~
\newline
□
\square
□
centimeters
\newline
Submit
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The pie chart shows how
36
36
36
pupils travel to school.
\newline
Use the pie chart to complete the table.
\newline
\begin{tabular}{|c|c|}
\newline
\hline \begin{tabular}{c}
\newline
Travel to \\
\newline
school
\newline
\end{tabular} & \begin{tabular}{c}
\newline
Number \\
\newline
of pupils
\newline
\end{tabular} \\
\newline
\hline Walk & \\
\newline
\hline Bus & \\
\newline
\hline Car & \\
\newline
\hline Bike & \\
\newline
\hline Total &
36
36
36
\\
\newline
\hline
\newline
\end{tabular}
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Please use your calculator to help you with this section.
\newline
One serving of Mike's crackers has
150
150
150
calories and a mass of
30
30
30
grams. thow many calories are in
6
6
6
grams of the crackers?
\newline
5
5
5
\newline
10
10
10
\newline
25
25
25
\newline
$\(30\)
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Name:
\qquad
Unit
8
8
8
: Trigonomet
\newline
Date:
\qquad
Bell:
\qquad
Homework
5
5
5
: Law ** This is a
2
2
2
-page document **
\newline
\begin{tabular}{|l|l|l|}
\newline
\hline Directions: Find each side length to the nearest tenth. \\
\newline
\hline
1
1
1
. \\
\newline
\hline
\newline
\end{tabular}
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Q
4
4
4
Assignmen:
\newline
Dat. Assignments
=
2
=2
=
2
(B) Si
\newline
Copy of Graded Asst.
\newline
DentaMath Student
A
A
A
\newline
google translate
−
60
-60
−
60
\newline
Watch Video
\newline
Show Examples
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
\newline
Shapes
\newline
pes.
\newline
(es)
\newline
Answer
\newline
ranrilinate
\newline
□
\square
□
\newline
Submit Answer
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4
4
4
Two glass containers are shown. Both are right rectangular prisms.
\newline
Container
1
1
1
is filled with water and Container
2
2
2
is empty.
\newline
Container
1
1
1
\newline
Container
2
2
2
\newline
Amalia wants to pour all of the water from Container
1
1
1
into Container
2
2
2
. What must the height of Container
2
2
2
be in order for it to hold the same amount of water as Container
1
1
1
? Round your answer to the nearest tenth.
\newline
Type the numeric answer only, do not include units.
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Given
63
63
63
and
89
89
89
as the lengths of two sides of a triangle, find the range of values for the third side.
\newline
Enter the number that belongs in the green box.
\newline
□
\square
□
Enter
\newline
4
4
4
International Academy of Science. All Rights Reserved.
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Listen
\newline
Find the area of a pentagon with an apothem of
5
5
5
units. Round your answer to the nearest hundredth.
\newline
A
≈
A \approx
A
≈
□
\square
□
square units
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You and your friends watched the latest movie at the movie theater. The movie was
3
3
3
hours and
12
12
12
minutes long. You all left the movie theater at
18
:
30
18{:}30
18
:
30
. At what time did the movie start?
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alculator Allowed
\newline
Algebra I, Subpart
3
3
3
\newline
The length of a garden is
6
6
6
feet more than the width. The area of the garden is
40
40
40
square feet.
\newline
What is the length, in feet, of the garden?
\newline
Enter your answer in the space provided.
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Henry places a bottle of water inside a cooler. As the water cools, its temperature
C
(
t
)
C(t)
C
(
t
)
in degrees Celsius is given by the following function, where
t
t
t
is the number of minutes since the bottle was placed in the cooler.
\newline
C
(
t
)
=
3
+
19
e
−
0.045
t
C(t)=3+19 e^{-0.045 t}
C
(
t
)
=
3
+
19
e
−
0.045
t
\newline
Henry wants to drink the water when it reaches a temperature of
16
16
16
degrees Celsius. How many minutes should he leave it in the cooler?
\newline
Round your answer to the nearest tenth, and do not round any intermediate computations.
\newline
minutes
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IRELAND
\newline
The solid figure is made of right rectangular prisms.
\newline
What is the volume of the figure, in cubic inches?
\newline
Use the number pad to enter your answer in the box.
\newline
□
\square
□
in.
3
^{3}
3
□
\square
□
\newline
→
\rightarrow
→
\newline
2
2
2
\newline
2
2
2
\newline
1
1
1
\newline
2
2
2
\newline
3
3
3
\newline
4
4
4
\newline
5
5
5
\newline
1
1
1
of
5
5
5
\newline
Completed
\newline
Finish Later
\newline
(
11
11
11
)
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IRELAND
\newline
The solid figure is made of right rectangular prisms.
\newline
What is the volume of the figure, in cubic inches?
\newline
Use the number pad to enter your answer in the box.
\newline
□
\square
□
in.
3
{ }^{3}
3
\newline
\qquad
\newline
2
2
2
\newline
3
3
3
\newline
4
4
4
\newline
5
5
5
\newline
1
1
1
of
5
5
5
\newline
Completed
\newline
Finish Later
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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is
29
f
t
29 \mathrm{ft}
29
ft
long and
18
f
t
18 \mathrm{ft}
18
ft
wide. If the gardener wants to build a fence around the garden, how many feet of fence are required?
\newline
Do not round any intermediate computations. Round your final answer to the nearest hundredth and be sure to include the correct unit. If necessary, refer to the list of geometry formulas.
\newline
□
\square
□
f
t
f t
f
t
\newline
f
t
2
f t^{2}
f
t
2
\newline
f
t
3
\mathrm{ft}^{3}
ft
3
\newline
29
f
t
29 \mathrm{ft}
29
ft
\newline
Save For Later
\newline
Submit Assignment
\newline
Check
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5
5
5
. FRUIT The price of
2
2
2
pears and
6
6
6
apples is
$
14
\$ 14
$14
. The price of
3
3
3
pears and
9
9
9
apples is
$
21
\$ 21
$21
. Can you determine the unit prices for pears and apples? Explain.
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CC.
6
6
6
Volume of prisms: advanced EP
5
5
5
\newline
Learn with an example
\newline
What is the volume of this prism?
\newline
□
\square
□
cubic meters
\newline
Submit
\newline
Not feeling rea
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O
O
O
is the center of the regular dodecagon below. Find its area. Round to the nearest tenth if necessary.
\newline
Answer
\newline
A
=
A=
A
=
□
\square
□
square units
\newline
Submit Answer
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Irene's window store made a mosaic for the community center. The mosaic had a
7
×
7
7 \times 7
7
×
7
array of different color square tiles. If each tile is
1
3
4
f
t
1 \frac{3}{4} \mathrm{ft}
1
4
3
ft
long, what is the area of the whole mosaic?
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Ident/
2775954
2775954
2775954
/
23322479
23322479
23322479
/e
065
065
065
d
5
5
5
ba
642
642
642
d
2596
2596
2596
ea
19
19
19
f
66
66
66
dafe
28
28
28
fba
\newline
Search Gener.
\newline
Word Search Gener.
\newline
Home
\newline
All Bookmarks
\newline
Volume, Density, and Unit Conversions (Level
1
1
1
)
\newline
Score:
0
/
5
0 / 5
0/5
\newline
Penalty: none
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of
8
1
2
8 \frac{1}{2}
8
2
1
in by
3
3
3
in by
3
3
3
in. If the bricks cost
$
0.07
\$ 0.07
$0.07
per cubic inch, find the cost of
300
300
300
bricks. Round your answer to the nearest cent.
\newline
Answer Attempt
2
2
2
out of
2
2
2
\newline
$
22950
\$ 22950
$22950
\newline
Submit Answer
\newline
Still Stuck?
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Question
\newline
Watch Video
\newline
Show Examples
\newline
In circle
T
T
T
, the length of
U
V
=
5
3
π
U V=\frac{5}{3} \pi
U
V
=
3
5
π
and
m
∠
U
T
V
=
10
0
∘
\mathrm{m} \angle U T V=100^{\circ}
m
∠
U
T
V
=
10
0
∘
. Find the area shaded below. Express your answer as a fraction times
π
\pi
π
.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
Sign out
\newline
N
\mathbb{N}
N
\newline
Apr
19
19
19
\newline
7
7
7
.
26
26
26
Get tutor help
e figure below is a net for a triangular prism.
\newline
What is the surface area of the triangular prism, in square meters?
\newline
Answer Attempt
1
1
1
out of
2
2
2
Get tutor help
4
4
4
/
18
18
18
Testing Review
8
8
8
\newline
Question
2
2
2
of
10
10
10
(
1
1
1
point) | Question Attempt:
2
2
2
of Unlimited
\newline
Caleb
\newline
✓
1
\checkmark 1
✓
1
\newline
2
2
2
\newline
3
3
3
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
8
8
8
\newline
9
9
9
\newline
Español
\newline
The radius of a cylindrical construction pipe is
3.5
f
t
3.5 \mathrm{ft}
3.5
ft
. If the pipe is
29
f
t
29 \mathrm{ft}
29
ft
long, what is its volume?
\newline
Use the value
3
3
3
.
14
14
14
for
π
\pi
π
, and round your answer to the nearest whole number.
\newline
Be sure to include the correct unit in your answer.
\newline
Check
\newline
Save For Later
\newline
Submit Assignment
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\#
10
10
10
−
11
-11
−
11
You are building a sandbox in your backyard. The diagram shows the four vertices of the bottom of the sandbox. Each unit in the coordinate plane represents
1
1
1
foot. Find the perimeter and area of the bottom of the sandbox.
\newline
10
10
10
. Perimeter
\newline
11
11
11
. Area
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Roselyn is driving to visit her family, who live
150
150
150
kilometers away. Her average speed is
60
60
60
kilometers per hour. The car's tank has
20
20
20
liters of fuel at the beginning of the drive, and its fuel efficiency is
6
6
6
kilometers per liter. Fuel costs
0.60
0.60
0.60
dollars per liter.
\newline
What is the price for the amount of fuel that Roselyn will use for the entire drive?
\newline
□
\square
□
dollars
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ame
\qquad
ifferent Area, Same Perimeter
\newline
1
1
1
through
3
3
3
, use grid paper to draw two different rectangles with given perimeter. Tell the dimensions and area of each rectangle. cle the one that has the greater area.
\newline
12
12
12
meters
\newline
2
2
2
.
28
28
28
inches
\newline
3
3
3
.
20
20
20
feet
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Surface Areas of Pyramids
>
>
>
Section Exercises
8.3
>
8.3>
8.3
>
Exercise
19
19
19
\newline
quare pyramid has four congruent triangular faces. The slant height of each face is
7
7
7
centimeters. The lateral surface area of the pyramid is
122
122
122
square centimeters. Find the th ace area of the pyramid.
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Question
4
4
4
) Pythagorean triples are right angled triangles that have all sides as whole numbers. The smallest Pythagorean triple is
3
,
4
,
5
3,4,5
3
,
4
,
5
.
\newline
Show, using Pythagoras Theorem that this is a right angled triangle substituting the values in to the formula and showing that the left hand side of the equation equals the right hand side.
\newline
Then find
3
3
3
more Pythagorean triples and show them on triangles.
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Name
\newline
\qquad
\newline
Lesson Practice a
\newline
822
822
822
Perimeter and Area of Tria
\newline
Find the perimeter of each figure.
\newline
1
1
1
.
\qquad
\newline
Find the missing measurement for eac the given perimeter.
\newline
3
3
3
. triangle with perimeter
21
21
21
units
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Francine uses
2
3
\frac{2}{3}
3
2
cup of pineapple juice for every
1
3
\frac{1}{3}
3
1
cup of orange juice to make a smoothie.
\newline
Enter the number of cups of pineapple juice Francine uses for
1
1
1
cup of orange juice.
\newline
□
\square
□
cups of pineapple juice
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Chen starts with a number.
\newline
He squares his number.
\newline
His answer is
144
144
144
\newline
Write down the two possible values of the number Chen starts with.
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1976
1976
1976
\newline
Tht Grade ACAP
\newline
Metro Champion
\newline
April
\newline
Acocesalod Math
×
\times
×
\newline
DetaMath Stude
\newline
/app/student/
3059323
3059323
3059323
/
23111254
23111254
23111254
/acBb
6
6
6
fdc
01
01
01
c
6
6
6
cb
36
36
36
ca
551805
551805
551805
e
3
3
3
cbB/
6
6
6
a
\newline
All Bockmarks
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23
23
23
−
24
-24
−
24
WAAG
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Civies and Governm.
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Show Examples
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Question
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Find the surface area of the rectangular prism.
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Answer Attempt
1
1
1
out of
2
2
2
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□
\square
□
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m
2
\mathrm{m}^{2}
m
2
\newline
Submit Answer
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LESSON
28
28
28
| SESSION
2
2
2
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(
3
3
3
) Jasmine walks east from her house to a tennis court. She plays for
1
1
1
.
5
5
5
hours and then walks home. Her walking speed is
3
3
3
miles per hour. Distances on the map are in miles. For how many hours is Jasmine away from home? Show your work.
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Sixth grade )
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quad GG.
6
6
6
Area of triangles CBS
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You have prizes to reveall
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G o to your game board,
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X
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video
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Questions
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answered
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What is the area of the triangle?
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5
5
5
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Time
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elapsed
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00
00
00
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02
02
02
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27
27
27
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HR
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M
R
N
‾
\overline{MRN}
MRN
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SEC
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Smartscore
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out of
100
100
100
?
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□
\square
□
kilometers
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Submit
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Sixth grade )
\quad
GG.
6
6
6
Area of triangles CBS
\newline
You have prizes to reveall
G
G
G
o to your game board,
X
X
X
\newline
video
\newline
Questions
\newline
What is the area of the triangle?
\newline
answered
\newline
5
5
5
\newline
Time
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elapsed
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∞
\infty
∞
\newline
02
02
02
\newline
27
27
27
\newline
HR
\newline
MIN
\newline
SEC
\newline
Smartscore
\newline
out of
100
100
100
?
\newline
□
\square
□
square kilometers
\newline
Submit
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PROBLEM-SOLVING
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6
6
6
A
100
m
100 \mathrm{~m}
100
m
radio mast is supported by six cables in two sets of three cables. All six cables are anchored to the ground at an equal distance from the mast. The top set of three cables is attached at a point
20
m
20 \mathrm{~m}
20
m
below the top of the mast. Each of the three lower cables is
60
m
60 \mathrm{~m}
60
m
long and attached at a height of
30
m
30 \mathrm{~m}
30
m
above the ground. If all the cables have to be replaced, find the total length of cable required. Give your answer correct to two decimal places.
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A rectangular picture frame is
5
5
5
inches wide and
10
10
10
inches tall. You want to make the area
6
6
6
times as large by increasing the length and width by the same amount. Find the number of inches by which each dimension must be increased.
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