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Math Problems
Grade 7
Convert between customary and metric systems
A large
12
12
12
,
000
000
000
BTU air conditioner running six hours each day will consume
270
270
270
kilowatt-hours
(
k
W
h
)
(\mathrm{kWh})
(
kWh
)
in a month. If the monthly cost of electricity for the air conditioner is
$
32.40
\$ 32.40
$32.40
, what is the cost of electricity in cents per kilowatt-hour?
\newline
(Round the answer to the nearest integer.)
\newline
□
\square
□
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A square sandbox in a playground has a side length
x
x
x
metres and area
10
m
2
10\,\text{m}^2
10
m
2
. Find the value of
x
x
x
, giving your answer to one decimal place.
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How many gallons are there in
6
L
6\,\text{L}
6
L
?
\newline
Hint:
1
L
≈
0.26
gal
1\,\text{L} \approx 0.26\,\text{gal}
1
L
≈
0.26
gal
\newline
Round your answer to the nearest tenth.
\newline
_________
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How many kilograms are there in
10
10
10
pounds?
\newline
Hint:
1
lb
≈
0.454
kg
1 \, \text{lb} \approx 0.454 \, \text{kg}
1
lb
≈
0.454
kg
\newline
Round your answer to the nearest tenth.
\newline
_________
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6
6
6
centimeters is the same as how many inches?
\newline
Hint:
1
1
1
cm
≈
0.39
\approx 0.39
≈
0.39
in
\newline
Round your answer to the nearest tenth.
\newline
____________
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9
9
9
liters is the same as how many gallons?
\newline
Hint:
1
L
≈
0.26
gal
1 \, \text{L} \approx 0.26 \, \text{gal}
1
L
≈
0.26
gal
\newline
Round your answer to the nearest tenth.
\newline
__________
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he shape of the Humber River pedestrian bridge in Toronto can be modelled by the equation
y
=
−
0.0044
x
2
+
21.3
y=-0.0044 x^{2}+21.3
y
=
−
0.0044
x
2
+
21.3
. All measurements are in metres. Determine the length of the bridge and the maximum height above the ground, to the nearest tenth of a metre.
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An intermediate chemical is formed during a chemical reaction. Assuming the mass is positive, the mass of the intermediate chemical,
m
m
m
, in grams
ms
\text{ms}
ms
after mixing the initial chemicals is given by: According to the model, how long did the intermediate chemical have positive mass? Round your answer to the nearest tenth of a millisecond.
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How many gallons are there in
10
10
10
liters?
\newline
Hint:
\newline
1
L
≈
0.26
gal
1\,\text{L}\approx0.26\,\text{gal}
1
L
≈
0.26
gal
\newline
Round your answer to the nearest tenth.
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2
2
2
kilograms is how many pounds?
\newline
Hint:
1
k
g
≈
2.2
l
b
1 \mathrm{~kg} \approx 2.2 \mathrm{lb}
1
kg
≈
2.2
lb
\newline
Round your answer to the nearest tenth.
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The perimeter of the equilateral triangle shown is
64.5
64.5
64.5
inches. Write and solve an equation to find the value of
x
x
x
.
1.5
x
−
7
1.5x-7
1.5
x
−
7
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Make the following conversion. Round your answer to
1
1
1
decimal place.
\newline
35
o
z
35 \mathrm{oz}
35
oz
to grams
\newline
□
\square
□
g
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Find the volume of a pyramid with a square base, where the area of the base is
19.6
ft
2
19.6\,\text{ft}^2
19.6
ft
2
and the height of the pyramid is
11.6
ft
11.6\,\text{ft}
11.6
ft
. Round your answer to the nearest tenth of a cubic foot.
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Find the volume of a right circular cone that has a height of
17.5
m
17.5\,\text{m}
17.5
m
and a base with a circumference of
19.4
m
19.4\,\text{m}
19.4
m
. Round your answer to the nearest tenth of a cubic meter.
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5
5
5
. Higher Order Thinking Use the number line to show
15
15
15
inches plus
0
0
0
inches. Explain your thinking.
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What is the volume of a hemisphere with a radius of
6.5
i
n
6.5 \mathrm{in}
6.5
in
, rounded to the nearest tenth of a cubic inch?
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How many ounces are there in
8
grams
8\,\text{grams}
8
grams
?
\newline
Hint:
1
g
≈
0.035
oz
1\,\text{g} \approx 0.035\,\text{oz}
1
g
≈
0.035
oz
\newline
Round your answer to the nearest tenth.
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There are
7
7
7
red and
3
3
3
blue balls in the box.
5
5
5
balls are randomly drawn from the box. What is the probability of the event \
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5
5
5
milliliters is how many teaspoons?
\newline
Hint:
1
1
1
mL
≈
0.2
\approx 0.2
≈
0.2
tsp
\newline
Round your answer to the nearest tenth.
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10
10
10
feet is the same as how many meters?
\newline
Hint:
1
1
1
ft
≈
0.305
\approx 0.305
≈
0.305
m
\newline
Round your answer to the nearest tenth.
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2
2
2
kilometers is how many miles?
\newline
Hint:
1
1
1
km
≈
0.6
\approx 0.6
≈
0.6
mi
\newline
Round your answer to the nearest tenth.
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How many gallons are there in
3
3
3
liters?
\newline
Hint:
1
L
≈
0.26
gal
1 \, \text{L} \approx 0.26 \, \text{gal}
1
L
≈
0.26
gal
\newline
Round your answer to the nearest tenth.
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2
2
2
liters is the same as how many gallons?
\newline
Hint:
1
L
≈
0.26
gal
1 \text{ L} \approx 0.26 \text{ gal}
1
L
≈
0.26
gal
\newline
Round your answer to the nearest tenth.
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8
8
8
pounds is the same as how many kilograms?
\newline
Hint:
1
1
1
lb
≈
0.454
\approx 0.454
≈
0.454
kg
\newline
Round your answer to the nearest tenth.
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4
4
4
kilograms is the same as how many pounds?
\newline
Hint:
1
1
1
kg
≈
2.2
\approx 2.2
≈
2.2
lb
\newline
Round your answer to the nearest tenth.
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Find the approximate radius of a circle with a circumference of
198
198
198
centimeters. Use
3
3
3
.
14
14
14
for
π
\pi
π
. Round to the nearest hundredth.
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18
18
18
. A detergent bottle holds
700
700
700
milliliters. Find the capacity in liters.
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Find the Area of the figure below, composed of a square and four semicircles. Rounded to the tenths place
\newline
Answer
\newline
A.
\newline
□
\square
□
\newline
Submit Asaver
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BONUS: Find the volume of the shaded region. Round your answer to the nearest hundredth.
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21
21
21
. It is recommended that
7.8
m
L
7.8 \mathrm{~mL}
7.8
mL
of Grow-It-Right plant food be mixed with
2
L
2 \mathrm{~L}
2
L
of water for feeding houseplants. How much plant food should be mixed with
1
g
a
l
1 \mathrm{gal}
1
gal
of water to maintain the same concentration? (
1
g
a
l
≈
3.8
L
1 \mathrm{gal} \approx 3.8 \mathrm{~L}
1
gal
≈
3.8
L
.) Express the answer in milliliters.
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What is the volume of a hemisphere with a radius of
26.7
m
26.7 \mathrm{~m}
26.7
m
, rounded to the nearest tenth of a cubic meter?
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If the final product is equal to
0.072
ml/g
0.072\,\text{ml/g}
0.072
ml/g
and you have
6
6
6
jars of
4
g
4\,\text{g}
4
g
each, how many ml of water is needed per Jat?
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If you get
1
1
1
point every
16
16
16
minutes how long would it take you to get to
2400
2400
2400
in hours
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A recipe calls for
460
m
L
460 \mathrm{~mL}
460
mL
of milk. One cup is equivalent to
236.6
m
L
236.6 \mathrm{~mL}
236.6
mL
. How many cups of milk does the recipe call for? Round your answer to the nearest hundredth.
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2
2
2
. What is
2
2
2
hundred less than the smallest number you can make using all of the following digits?
\newline
\begin{tabular}{|c|c|c|c|c|}
\newline
\hline
0
0
0
&
3
3
3
&
4
4
4
& & \\
\newline
\hline
\newline
\end{tabular}
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Given a circle of diameter
21
c
m
21 \mathrm{~cm}
21
cm
, determine the arc length subtended by a central angle of
1
1
1
.
2
2
2
rad. Answer to the nearest tenth.
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a recipe uses
250
m
L
250 \mathrm{~mL}
250
mL
of milk for every
325
g
325 \mathrm{~g}
325
g
of flour, if you make a bigger bacth to
500
g
500 \mathrm{~g}
500
g
of flour how much milk would you need.
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What is the total number of different
10
10
10
-letter arrangements that can be formed using the letters in the word SUFFRAGIST?
\newline
Answer:
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What is the total number of different
6
6
6
-letter arrangements that can be formed using the letters in the word QUASAR?
\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 GALVANIZING?
\newline
Answer:
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What is the total number of different
12
12
12
-letter arrangements that can be formed using the letters in the word ANNUNCIATION?
\newline
Answer:
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What is the total number of different
8
8
8
-letter arrangements that can be formed using the letters in the word ZIGGURAT?
\newline
Answer:
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A rectangular garden whose width is
4
4
4
meters less than its length has an area of
57
57
57
square meters. Find the dimensions of the garden to the nearest tenth of a meter.
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Standard movie projectors project
24
24
24
still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly
129600
129600
129600
total frames, then, to the nearest whole minute, how long is the movie?
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How many packets of milk having capacity of
250
m
l
250 \mathrm{ml}
250
ml
can be packed from
10
10
10
litre amount of milk.
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The area of a parallelogram is
3094
3094
3094
, and the lengths of its sides are
73
73
73
and
52
52
52
. Determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.
\newline
Answer:
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The area of a triangle is
4
4
4
. Two of the side lengths are
7
7
7
.
5
5
5
and
1
1
1
.
6
6
6
and the included angle is obtuse. Find the measure of the included angle, to the nearest tenth of a degree.
\newline
Answer:
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The area of a parallelogram is
4
4
4
, and the lengths of its sides are
2
2
2
.
8
8
8
and
2
2
2
. Determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.
\newline
Answer:
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Specific gravity is the ratio, as a decimal, of the density of a substance to the density of water. Density is the ratio of the mass to the volume. The mass of
760
760
760
gallons of fuel is
2325
2325
2325
kilograms. A single gallon of water has a mass of about
3.8
3.8
3.8
kg. To the nearest tenth, what is the specific gravity of jet fuel?
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The areas of two mathematically similar shapes are in the ratio
49
:
81
49:81
49
:
81
. The length of the smaller shape is
24.5
cm
24.5\,\text{cm}
24.5
cm
. Work out the length of the larger shape.
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2
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