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Math Problems
Grade 6
Evaluate variable expressions: word problems
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
\newline
23
23
23
−
24
-24
−
24
WAAG
\newline
Civies and Governm.
\newline
Show Examples
\newline
Question
\newline
Find the surface area of the rectangular prism.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
□
\square
□
\newline
m
2
\mathrm{m}^{2}
m
2
\newline
Submit Answer
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LESSON
28
28
28
| SESSION
2
2
2
\newline
(
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 )
\newline
quad GG.
6
6
6
Area of triangles CBS
\newline
You have prizes to reveall
\newline
G o to your game board,
\newline
X
\newline
video
\newline
Questions
\newline
answered
\newline
What is the area of the triangle?
\newline
5
5
5
\newline
Time
\newline
elapsed
\newline
00
00
00
\newline
02
02
02
\newline
27
27
27
\newline
HR
\newline
M
R
N
‾
\overline{MRN}
MRN
\newline
SEC
\newline
Smartscore
\newline
out of
100
100
100
?
\newline
□
\square
□
kilometers
\newline
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
\newline
elapsed
\newline
∞
\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
\newline
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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Tues Apcil
23024
23024
23024
\newline
Name:
\newline
\qquad
\newline
4
4
4
\newline
Curriculum Connection
\newline
Ell
\newline
Elf
\newline
Vertices are where two sides meet. The vertices of a shape are the corners.
\newline
Vertices
\newline
Part
1
1
1
\newline
Circle the vertices and write how many vertices the shape has
\newline
1
1
1
.
\newline
2
2
2
.
\newline
3
3
3
.
\newline
4
4
4
.
\newline
6
6
6
.
\newline
7
7
7
.
\newline
8
8
8
.
\newline
10
10
10
.
\newline
Draw a shape with the correct number of vertices
\newline
Part
2
2
2
\newline
1
1
1
)
\newline
2
2
2
)
\newline
4
4
4
\newline
3
3
3
)
\newline
4
4
4
)
\newline
6
6
6
\newline
What do you notice about the number of vertices and sides that a shape has?
\newline
(c) Super simple Sheets
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16
16
16
Two trees on a street have heights
10
10
10
feet and
28
28
28
feet. At a certain time of a day, the tops of their shadows meet and the shorter tree casts a shadow of length
8
8
8
.
5
5
5
feet on the ground. How far apart are the trees?
\newline
(
17
17
17
) A bag in the shape of two regular pentagons is shown on the right. The ratio of the shaded area to the area of the larger pentagon is
27
:
36
27: 36
27
:
36
. If the larger pentagon has sides of length
4
4
4
inches, find the length of the sides of the smaller pentagon.
\newline
18
18
18
A cable car travels from a village up to a resort on the top of a mountain. When the cable car has traveled
150
150
150
feet along the cable, it is
100
100
100
feet above the ground. The total distance the cable car must travel to reach the resort is
12
12
12
,
000
000
000
feet. How high is the mountain?
12
12
12
,
000
000
000
feet. How high is the mountain?
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Session
2
2
2
\newline
FSA Mathematics Practice Test Questions
\newline
27
27
27
. Alex has
64
64
64
cubes, with dimensions in feet (
f
t
\mathrm{ft}
ft
), like the one shown.
\newline
He uses all the cubes to fill a box shaped like a larger rectangular prism There are no gaps between the cubes.
\newline
A. What is the volume, in cubic feet, of the larger rectangular prism?
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ction
6
6
6
.
3
3
3
\newline
Le logo du nouveau comptoir de crème glacée près de chez Julien est imprimé sur des serviettes en papier.
\newline
Quelle est l'aire du demi-cercle représentant la boule de crème glacée?
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Question
3
3
3
\newline
3
3
3
pts
\newline
Use the Nearest Neighbor Method starting at vertex A to find a Hamilton Circuit. (In the next question you will be asked to find the weight of this circuit.)
\newline
(Start)
\newline
A
\newline
B
\newline
C
\newline
D
\newline
E
\newline
A
\newline
(End)
\newline
Question
4
4
4
\newline
2
2
2
pts
\newline
Find the weight of the circuit you found in the previous problem.
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the area, in square meters, of the trapezoid below?
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Base of a triangle is
9
9
9
and height is
5
5
5
. Base of another triangle is
10
10
10
and height is
6
6
6
. Find the ratio of areas of these triangles.
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a group of
9
9
9
girls booked a dance studio for
6
6
6
hours and took turns to practice their dance moves. at any time, there were
5
5
5
girls dancing on the stage. on average, how long did each girl dance on the stage. give answer in hours and min.
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The cost of a certain number of pens is ₹
72
72
72
. If the cost of each pen is decreased by ₹
1
1
1
, then
8
8
8
more pens can be purchased for the same amount. How many pens can be purchased for the same amount if the cost of each pen is increased by ₹
1
1
1
.
50
50
50
?
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My IXL
\newline
Learnin
\newline
CC.
7
7
7
Volume of pyramids CKU
\newline
Learn witt
\newline
What is the volume of this triangular pyramid?
\newline
□
\square
□
cubic feet
\newline
Submit
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Volume of a Cone Level
1
1
1
\newline
Score:
2
/
10
2 / 10
2/10
\newline
Penalty: none
\newline
Question
\newline
Show Examples
\newline
Find the volume of a right circular cone that has a height of
19.4
c
m
19.4 \mathrm{~cm}
19.4
cm
and a base with a diameter of
9
9
9
.
9
9
9
c
m
\mathrm{cm}
cm
. Round your answer to the nearest tenth of a cubic centimeter.
\newline
Answer Altempt
2
2
2
out of
2
2
2
\newline
c
m
3
\mathrm{cm}^{3}
cm
3
\newline
Submit Answer
\newline
Still Stuck?
\newline
log
\log
lo
g
Out
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Calculator
\newline
DeltaMath Student Application
\newline
New Tab
\newline
23136602
/
2927
f
23
c
53
d
57
c
0
e
490693
f
3
c
b
56
f
b
f
b
23136602 / 2927 f 23 c 53 d 57 c 0 e 490693 f 3 c b 56 f b f b
23136602/2927
f
23
c
53
d
57
c
0
e
490693
f
3
c
b
56
f
b
f
b
\newline
core:
0
/
5
0 / 5
0/5
\newline
Penalty:
1
1
1
off
\newline
Question
\newline
Show Examples
\newline
Alang owns a small business selling ice-cream. He knows that in the last week
62
62
62
customers paid cash,
60
60
60
customers used a debit card, and
2
2
2
customers used a credit card.
\newline
If next week, he is expecting
1000
1000
1000
customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
Submit Answer
\newline
Desk
1
1
1
\newline
Apr
11
11
11
\newline
4
4
4
:
29
29
29
US
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Calculator
\newline
The two rectangles are similar. The bottom rectangle is
1
1
1
.
5
5
5
times bigger than the top rectangle.
\newline
Solve for a:
\newline
\qquad
feet
\newline
a
\newline
Enter answer here...
\newline
SUBMIT
\newline
b
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Solve (Answers in Proper Scientific Notation):
\newline
About
8.4
x
1
0
11
8.4 x 10^{11}
8.4
x
1
0
11
drops of water flow over Niagra Falls each minute. Each drop of water contains about
2
×
1
0
21
2 \times 10^{21}
2
×
1
0
21
molecules of water. About how many molecules of water flow over the Niagra Falls each minute?
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Solve (Answers in Proper Scientific Notation):
\newline
A computer can perform
4.7
×
1
0
8
4.7 \times 10^{8}
4.7
×
1
0
8
calculations per second.
\newline
A) How many calculations can this computer perform in
1
1
1
minute?
\newline
B) How many calculations can this computer perform ini
1
1
1
hour?
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Points
A
,
B
A, B
A
,
B
and
C
C
C
lie on a circle with center
Q
Q
Q
.
\newline
- The area of sector
A
Q
B
\mathrm{AQB}
AQB
is twice the area of sector
B
Q
C
\mathrm{BQC}
BQC
.
\newline
- The length of arc
A
B
\mathrm{AB}
AB
is
28
28
28
centimeters.
\newline
What is the length, in centimeters, of
arc
B
C
\operatorname{arc} B C
arc
BC
?
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What is the total number of different
9
9
9
-letter arrangements that can be formed using the letters in the word CHICANERY?
\newline
Answer:
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What is the total number of different
11
11
11
-letter arrangements that can be formed using the letters in the word MEASUREMENT?
\newline
Answer:
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A winning class group prize pays
$
1600
\$ 1600
$1600
.
\newline
This is shared between Peter and Mary in ratio
3
3
3
:
5
5
5
.
\newline
How much money does Peter get?
\newline
(Answer format to include
$
\$
$
)
\newline
□
\square
□
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5
5
5
. A case of Christmas lights has
9
9
9
,
000
000
000
lights.
2
2
2
,
245
245
245
are yello
2
2
2
,
971
971
971
are blue,
2
2
2
,
500
500
500
are green, and the rest are red. How many of the lights are red? Write your answer in the box.
\newline
6
6
6
. A gardener plants
400
400
400
flowers. He accidently runs over
120
120
120
flowers with his truck. Then, he plants
230
230
230
more flowers. How many flowers does the gardener have now? Write your answer in the box.
\newline
7
7
7
. Hank makes
23
23
23
birdhouses to sell at a fair. He decides that is not enough, so he makes
23
23
23
more. At the fair, Hank sell
44
44
44
birchouses. Circle the answer that completes the staten
\newline
Hank has \begin{tabular}{c}
\newline
2
2
2
\\
\newline
21
21
21
\\
\newline
46
46
46
\\
\newline
90
90
90
\\
\newline
90
90
90
\\
\newline
\hdashline
\newline
\end{tabular}
\newline
A summer camping group has
38
38
38
members. They meet u with two more camping grouds at camn
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You are given five pieces of
2.4
GHz
2.4\,\text{GHz}
2.4
GHz
, IEEE
802.11
g
802.11g
802.11
g
wireless access points (AP) that can only take
32
32
32
concurrent users per AP at a time and you are expected to provide network services to
80
80
80
users in a conference hall at the same time. Describe the configuration settings you will use and how many APs will be used without signal interference.
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Landon is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Landon scored a total of
24
24
24
points and made
2
2
2
more two point shots than three point shots. Graphically solve a system of equations in order to determine the number of two point shots made,
x
x
x
, and the number of three point shots made,
y
y
y
.
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Pete's dad ordered
32
32
32
donuts for Pete's birthday party at school. Pete's classmates ate
24
24
24
donuts. Pete will eat the remaining donuts at home, but is only allowed to have
2
2
2
per day.
\newline
Complete the expression below to show how many days it will take Pete to eat the leftover donuts.
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Another garden is in the shape of a semicircle with a radius of
25
25
25
feet. Edging is placed around this garden.
\newline
How much edging, in feet, is needed to go around this garden? Round to the nearest whole number.
\newline
Enter your answer in the box.
\newline
□
\square
□
feet
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Kenny will be away at a basketball camp, and a outdoors camp during the summer. The total time he will be away is
8
8
8
weeks.
\newline
If his basketball camp is
21
21
21
days long, how many days long is the outdoors camp?
\newline
(A)
35
35
35
\newline
(B)
42
42
42
\newline
(C)
56
56
56
\newline
(D)
5
5
5
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Angela is building a pool that is
25
25
25
meters long. She has selected tiles to put around the edge of the pool. If each tile is
8
8
8
inches long, how many tiles does she need for one
25
25
25
-meter side of the pool?
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Your ceiling is
210
\mathbf{2 1 0}
210
centimetres high, You want the tree to have
30
\mathbf{3 0}
30
centimetres of space with the ceiling. How tall must the tree be? (in centimetres)
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Hailey paid
$
13
\$13
$13
for
1
3
7
1\dfrac{3}{7}
1
7
3
kg
\text{kg}
kg
of sliced salami. What was the cost per kilogram of salami
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NAME: Geetha Kardhure N
\newline
SUB: MATHS
\newline
I. Find the next two numbers in the following
\newline
1
1
1
.
1
,
3
,
5
,
7
,
9
1,3,5,7,9
1
,
3
,
5
,
7
,
9
,
14
14
14
\newline
2
2
2
.
50
,
48
,
46
,
44
,
42
50,48,46,44,42
50
,
48
,
46
,
44
,
42
\newline
3
3
3
.
1
,
4
,
9
,
16
1,4,9,16
1
,
4
,
9
,
16
,
\newline
4
4
4
.
2.6
×
2.20.30
2.6 \times 2.20 .30
2.6
×
2.20.30
,
\newline
He
\newline
(
5
5
5
)
2
,
4
,
8
,
16
,
18
2,4,8,16,18
2
,
4
,
8
,
16
,
18
\newline
20
20
20
\newline
68
68
68
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Volume Word Problems (Basic)
\newline
Score:
0
/
10
0 / 10
0/10
\newline
Penalty:
1
o
f
f
1 \mathrm{off}
1
off
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
An aquarium can be modeled as a right rectangular prism and it can hold
882
882
882
cubic inches of water when it is full. Its width is
7
7
7
in and height is
7
7
7
in. Find the length of the aquarium in inches. Round your answer to the nearest tenth if necessary.
\newline
Answer Attemipt
1
1
1
cat of
2
2
2
in
\newline
Subrit Answer
\newline
Log out
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Luis models the volume of a popcorn box as a right rectangular prism. Its dimensions are
3
1
2
3 \frac{1}{2}
3
2
1
in by
2
2
2
in by
6
3
4
6 \frac{3}{4}
6
4
3
in. How many cubic inches of popcorn would it hold when it is full? Round your answer to the nearest tenth if necessary.
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Unit: Geometry
\newline
Homework
2
2
2
\newline
AREA OF TRIANGLES
\newline
Match each correct answer to a letter and complet
\newline
1
1
1
\newline
Find the area of a right triangle with a height of
8
1
2
8 \frac{1}{2}
8
2
1
feet and a base of
15
15
15
feet.
\newline
8.5
8.5
8.5
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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. How long can Roselyn drive before she runs out of fuel?
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The coordinates of the point
J
J
J
are
(
4
,
5
)
(4,5)
(
4
,
5
)
and the coordinates of point
K
K
K
are
(
9
,
5
)
(9,5)
(
9
,
5
)
. What is the distance, in units, between the point
J
J
J
and point
K
K
K
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
T
T
T
are
(
−
5
,
−
8
)
(-5,-8)
(
−
5
,
−
8
)
and the coordinates of point
U
U
U
are
(
−
5
,
−
2
)
(-5,-2)
(
−
5
,
−
2
)
. What is the distance, in units, between the point
T
T
T
and point
U
?
U ?
U
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
P
P
P
are
(
0
,
7
)
(0,7)
(
0
,
7
)
and the coordinates of point
Q
Q
Q
are
(
5
,
7
)
(5,7)
(
5
,
7
)
. What is the distance, in units, between the point
P
P
P
and point
Q
Q
Q
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
T
T
T
are
(
10
,
9
)
(10,9)
(
10
,
9
)
and the coordinates of point
U
U
U
are
(
−
2
,
9
)
(-2,9)
(
−
2
,
9
)
. What is the distance, in units, between the point
T
T
T
and point
U
U
U
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
P
P
P
are
(
1
,
−
1
)
(1,-1)
(
1
,
−
1
)
and the coordinates of point
Q
Q
Q
are
(
10
,
−
1
)
(10,-1)
(
10
,
−
1
)
. What is the distance, in units, between the point
P
P
P
and point
Q
?
Q ?
Q
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
F
F
F
are
(
2
,
−
6
)
(2,-6)
(
2
,
−
6
)
and the coordinates of point
G
G
G
are
(
−
4
,
−
6
)
(-4,-6)
(
−
4
,
−
6
)
. What is the distance, in units, between the point
F
F
F
and point
G
?
G ?
G
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
K
K
K
are
(
−
5
,
8
)
(-5,8)
(
−
5
,
8
)
and the coordinates of point
L
L
L
are
(
−
5
,
−
6
)
(-5,-6)
(
−
5
,
−
6
)
. What is the distance, in units, between the point
K
K
K
and point
L
L
L
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
J
J
J
are
(
0
,
−
10
)
(0,-10)
(
0
,
−
10
)
and the coordinates of point
K
K
K
are
(
7
,
−
10
)
(7,-10)
(
7
,
−
10
)
. What is the distance, in units, between the point
J
J
J
and point
K
?
K ?
K
?
\newline
Answer:
□
\square
□
units
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The coordinates of the point
O
O
O
are
(
3
,
−
5
)
(3,-5)
(
3
,
−
5
)
and the coordinates of point
P
P
P
are
(
8
,
−
5
)
(8,-5)
(
8
,
−
5
)
. What is the distance, in units, between the point
O
O
O
and point
P
P
P
?
\newline
Answer:
□
\square
□
units
Get tutor help
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