Download Space Word Problems Starring Ratios and Proportions

Math Word Problems Solved Reproducible Worksheets
Reproducible Worksheets
for:
Space Word Problems Starring
Ratios and Proportions
These worksheets are reproducible for educational use only and are not for resale.
© 2009 Enslow Publishers, Inc.
Math Word Problems Solved Reproducible Worksheets
Reproducible Worksheets for:
Space Word Problems Starring
Ratios and Proportions
These worksheets practice math concepts explained in Space Word Problems
Starring Ratios and Proportions (ISBN: 978-0-7660-2921-7), written by Rebecca
Wingard-Nelson.
Math Word Problems Solved reproducible worksheets are designed to help teachers,
parents, and tutors use the books from the Math Word Problems Solved series in the
classroom and the home. The answers to the problems are contained in the Answers
section starting on page 36.
Teachers, librarians, tutors, and parents are granted permission and encouraged to
make photocopies of these worksheets.
These worksheets are reproducible for educational use only and are not for resale.
© 2009 Enslow Publishers, Inc.
Visit www.enslow.com and search for the Math Word Problems Solved series to
download worksheets for the following titles:
Amusement Park Word Problems
Starring Pre-Algebra
978-0-7660-2922-4
Fun Food Word Problems
Starring Fractions
978-0-7660-2919-4
Animal Word Problems
Starring Addition and Subtraction
978-0-7660-2917-0
Space Word Problems
Starring Ratios and Proportions
978-0-7660-2921-7
Big Truck and Car Word Problems
Starring Multiplication and Division
978-0-7660-2918-7
Sports Word Problems
Starring Decimals and Percents
978-0-7660-2920-0
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1
Name _________________________________
Date ___________________
Problem-Solving Steps
Here’s the problem.
A three-day spaceflight is being planned. Each astronaut
can pick 3 snacks per day. At this rate, how many
snacks can each astronaut choose for the entire flight?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
Is the math correct?
What other plan could you use to solve this problem?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
2
Name _________________________________
Date ___________________
Problem-Solving Steps
Here’s the problem.
A ten-day spaceflight is being planned. Each astronaut
needs 80 ounces of water per day. At this rate, how
many ounces of water does each astronaut need for the
entire flight?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
Five astronauts are going on a mission. Each astronaut has
permission to take personal items that weigh up to 12 pounds.
How many pounds of personal items can be taken on the mission?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
3
Name _________________________________
Date ___________________
Read a Table
Here’s the problem.
There are 8 planets in our solar
system. Some of the planets are
made of rock. Others are made of
gas. Use the table to find the ratio
of the planets made of gas to the
total planets in our solar system.
Read and understand the problem.
What do you know?
Planet
Material
Earth
rock
Jupiter
gas
Mars
rock
Mercury
rock
Neptune
gas
Saturn
gas
Uranus
gas
Venus
rock
What are you trying to find?
Make a plan.
What plan does this problem tell you to use?
Solve the problem.
Carry out your plan.
Look back.
Could you have answered this problem a different way?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
4
Name _________________________________
Date ___________________
Read a Table
Here’s the problem.
There are 8 planets in our solar
system. Some of the planets are
made of rock. Others are made of
gas. Use the table to find the ratio
of the planets made of gas to the
planets made of rock.
Read and understand the problem.
Planet
Material
Earth
rock
Jupiter
gas
Mars
rock
Mercury
rock
Neptune
gas
Saturn
gas
Uranus
gas
Venus
rock
Make a plan.
Solve the problem.
Look back.
Want to try another one?
Use the table to find the ratio of the total planets to the planets
made of rock.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
5
Name _________________________________
Date ___________________
Comparison Sentences
Here’s the problem.
The distance from Earth to the Sun is called an
astronomical unit (AU). Jupiter is about 5 AUs
from the Sun. Write a sentence using the words
“as far as” to compare the distances from Jupiter
and Earth to the Sun.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Could you have solved this problem a different way?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
6
Name _________________________________
Date ___________________
Comparison Sentences
Here’s the problem.
Jupiter is about 5 AUs from the Sun. Neptune is
30 AUs from the Sun. Write a sentence using the
words “as far as” to compare the distances from
Jupiter to the Sun and from Neptune to the Sun.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
Write a sentence using the problem above with the terms in a
different order. Hint: Neptune is the first word of the sentence.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
7
Name _________________________________
Date ___________________
Logical Reasoning
Here’s the problem.
On Saturday night, Kory saw 3 B stars and 9 K
stars. On Sunday night, he saw zero B stars and
12 K stars. Give the ratio of B stars to K stars for
Saturday night, Sunday night, and the two nights
combined.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What plan does this problem tell you to use?
Solve the problem.
Carry out your plan.
Look back.
Could you have solved this problem a different way?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
8
Name _________________________________
Date ___________________
Logical Reasoning
Here’s the problem.
On Monday, astronauts in training spent 4 hours in a
classroom and 3 hours in a flight simulator. On Tuesday,
they spent 2 hours in a classroom and 6 hours in the
simulator. Give the ratio of classroom hours to simulator
hours for Monday, Tuesday, and the two days combined.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
In a class of 32 students who took a test on rocket fuel types, the
grades were as follows: 24 As, 4 Bs, 3 Cs, and 1 D. Give the ratio
of students who earned an A to the entire class, students who
earned a B to the entire class, and students who earned an A or a
B to the entire class.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
9
Name _________________________________
Date ___________________
Equivalent Ratios
Here’s the problem.
A dog that weighs 12 pounds on Earth would
weigh only 2 pounds on the Moon. Using the
same ratio, how much would a person who
weighs 180 pounds on Earth weigh on the Moon?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What kind of model can you use to solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
10
Name _________________________________
Date ___________________
Equivalent Ratios
Here’s the problem.
A dog that weighs 10 pounds on Earth would
weigh 25 pounds on Jupiter. Using the same
ratio, how much would a person who weighs
140 pounds on Earth weigh on Jupiter?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
A student who can lift 60 pounds on Earth can lift 1,000 pounds
on a certain planet. Using the same ratio, how much can a
weightlifter lift on that planet if he can lift 300 pounds on Earth?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
11
Name _________________________________
Date ___________________
Use Mental Math
Here’s the problem.
One night Charla saw 16 flying objects, but she could
not identify 4. Write the ratio of the unidentified flying
objects to the total number of flying objects she saw.
Write the ratio in lowest terms.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What plan does the problem tell you to use?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
What other plan could you use to solve this problem?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
12
Name _________________________________
Date ___________________
Use Mental Math
Here’s the problem.
One night David identified 25 stars and 5 constellations
by name. Write the ratio of stars to constellations he
identified that night. Write the ratio in lowest terms.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
Jennifer set up her camera to take 50 pictures of the Moon at
ten-minute intervals. In 20 of the pictures, the Moon was hidden
by clouds. Write the ratio in lowest terms of pictures with the
Moon hidden to total pictures.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
13
Name _________________________________
Date ___________________
Use Paper and Pencil
Here’s the problem.
A rocket uses 260 kilograms of fuel in 60 seconds. Write
a rate to show how fast the fuel is used by the rocket.
Make sure the rate is in lowest terms.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Did you include units in your answer?
What other plan could you use to solve this problem?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
14
Name _________________________________
Date ___________________
Use Paper and Pencil
Here’s the problem.
A rocket flew 135 kilometers in 15 seconds. Write a rate
to tell how fast the rocket was moving. Make sure the
rate is in lowest terms.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
The diameter of Mercury is 4,800 km. The diameter of Mars is
6,800 km. Write the ratio in lowest terms of Mercury’s diameter
to Mars’ diameter.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
15
Name _________________________________
Date ___________________
Use a Calculator
Here’s the problem.
The glow of a huge explosion in space took
10.6 seconds to be seen on Earth. The explosion
happened 1,974,568 miles from Earth. Write a unit
rate to the nearest mile for the speed of the light.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Did you use mental math, paper-and-pencil, or a calculator? Why?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
16
Name _________________________________
Date ___________________
Use a Calculator
Here’s the problem.
A rocket took 16 hours to travel 282,272 miles in space.
Write a unit rate for the average speed of the rocket.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
A total of 250,560 hours were spent by 116 people preparing a
rocket for a flight into space. Write a unit rate for the amount of
time spent per person.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
17
Name _________________________________
Date ___________________
Multiplying Rates
Here’s the problem.
Uranus spins at a rate of 17 hours per full rotation.
How many hours does Uranus take to rotate 6 times?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Is the math correct?
What other plan could you use to solve this problem?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
18
Name _________________________________
Date ___________________
Multiplying Rates
Here’s the problem.
Venus orbits the Sun at a rate of 225 days per revolution.
How long does Venus take to orbit the Sun twice?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
Uranus orbits the Sun at a rate of 84 years per revolution. How
long does Uranus take to orbit the Sun 3 times?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
19
Name _________________________________
Date ___________________
Use a Formula
Here’s the problem.
A rocket traveled at a rate of 18,500 miles per hour for
4 hours. How many miles did it travel? Use the formula
distance = speed ⫻ time, or d = st.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What plan does the problem tell you to use?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
What other plan could you use to solve this problem?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
20
Name _________________________________
Date ___________________
Use a Formula
Here’s the problem.
A rocket traveled at a rate of 12,200 miles per hour for
30 hours. How many miles did it travel? Use the
formula distance = speed ⫻ time, or d = st.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
The formula for the distance around a planet at its equator
(circumference) is C = 2␲ r, where r is the radius at the equator.
The symbol ␲ is called pi, and is approximately 3.14. The radius
of Mars at the equator is about 2,107 miles. To the nearest whole
mile, find the distance around Mars at the equator.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
21
Name _________________________________
Date ___________________
Change Units
Here’s the problem.
A rocket travels at a speed of 310 kilometers per minute.
What is the speed of the rocket in kilometers per hour?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Check your math.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
22
Name _________________________________
Date ___________________
Change Units
Here’s the problem.
Mercury spins at a rate of 59 days per full rotation. What
is Mercury’s rate in hours per rotation?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
The speed of sound is about 1,235,000 meters per hour. To the
nearest whole number, what is the speed of sound in meters per
second? (Be careful, you are changing hours to seconds!)
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
23
Name _________________________________
Date ___________________
Use a Model
Here’s the problem.
A teacher splits her class into groups to study Mars and
its moons. They have models in a ratio of 2 plastic
moons for every one plastic Mars. If they use 27 plastic
pieces in all, how many groups are there if each group
gets one Mars? Use a model to help solve this problem.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What plan does this problem tell you to use?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
24
Name _________________________________
Date ___________________
Use a Model
Here’s the problem.
Hilda saw 3 B stars on Saturday for every B star she
saw on Friday. If she saw 16 B stars on both nights
combined, how many B stars did she see on Friday?
Use a model to help solve this problem.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
A science classroom has three types of solar system models per
two tables of students. There are 15 models in all. How many
tables of students are there? Use a model to help solve this
problem.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
25
Name _________________________________
Date ___________________
Write a Proportion
Here’s the problem.
Jupiter takes about 10 years to orbit the Sun. Saturn
takes about 30 years. Is 1 to 3 the correct ratio for the
time it takes Jupiter to orbit the Sun to the time it takes
Saturn to orbit the Sun? Write a proportion to solve this
problem.
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What plan does this problem tell you to use?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
26
Name _________________________________
Date ___________________
Write a Proportion
Here’s the problem.
If you weigh 100 pounds on Earth, your weight on
Mars would be about 40 pounds. If a little boy weighs
30 pounds on Earth, would his weight on Mars be about
14 pounds? Use a proportion to solve this problem.
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
A rocket uses 400 kilograms of fuel every 2 minutes. Jack says for
a 5-minute flight, it will use 1,200 kilograms of fuel. Is this
correct? Use a proportion to solve this problem.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
27
Name _________________________________
Date ___________________
Scale Drawings
Here’s the problem.
The diameter of Mars is about 7,000 kilometers.
Mercury’s diameter is about 5,000 kilometers. Becca
made a scale drawing of the solar system. Her drawing
of Mars has a diameter of 14 millimeters. What should
the diameter of her drawing of Mercury be?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
Is the math correct?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
28
Name _________________________________
Date ___________________
Scale Drawings
Here’s the problem.
Earth is about 150 million kilometers from the Sun.
Uranus is about 3,000 million kilometers from the Sun.
In a scale drawing of the solar system, Earth is drawn
45 millimeters from the Sun. How far should Uranus be
drawn from the Sun?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
The Moon’s diameter is about 3,500 kilometers. The diameter of
the dwarf planet Ceres is about 950 kilometers. A scale drawing
of the Moon has a diameter of 70 millimeters. What should the
diameter of the drawing of Ceres be?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
29
Name _________________________________
Date ___________________
Cross Multiply
Here’s the problem.
For every 7 parts of Earth’s surface that are covered by
water, there are 3 parts covered by land. Elly is making
a globe using small paper squares. She has 280 blue
squares for the water, and 90 green squares for the land.
Are the squares in the correct ratio?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
Is the math correct?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
30
Name _________________________________
Date ___________________
Cross Multiply
Here’s the problem.
Jupiter is about 4 AUs from Earth. Neptune is about
30 AUs from Earth. In a drawing of the planets, Jupiter
is drawn 6 inches from Earth and Neptune is 45 inches
from Earth. Are the distances in the correct ratio?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
For every 3 days on a spaceflight, each astronaut on a mission
spent 28 hours monitoring equipment. If the mission was
24 days long, did each astronaut monitor equipment for
224 hours?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
31
Name _________________________________
Date ___________________
Scale Models
Here’s the problem.
In a scale model of the Solar System, Earth is 3 inches
from the Sun and Neptune is 90 inches from the Sun.
The actual distance from Neptune to the Sun is about
2,790 million miles. How many millions of miles is
Earth from the Sun?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
How can you solve this problem?
Solve the problem.
Carry out your plan.
Look back.
Check your math.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
32
Name _________________________________
Date ___________________
Scale Models
Here’s the problem.
The diameter of Saturn is 120,000 kilometers. The largest
dwarf planet in our solar system, Eris, has a diameter of
about 2,500 kilometers. In a scale model of the solar
system, Saturn has a diameter of 48 centimeters. What
should the diameter of the model of Eris be?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
In a one-kilometer-sized model of the Solar System, Venus is
18 meters from the Sun and Jupiter is 130 meters from the Sun.
The actual distance of Venus from the Sun is about 108 million
kilometers. About what is the actual distance from Jupiter to the
Sun?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
33
Name _________________________________
Date ___________________
Estimation
Here’s the problem.
Most meteorites are gray and hard. A few are black
and fragile. In one area, 12,876 meteorites were found.
If 3 of every 1,000 meteorites found are the black fragile
type, about how many of those found are the black
fragile type?
Read and understand the problem.
What do you know?
What are you trying to find?
Make a plan.
What plan does the problem ask you to use?
Solve the problem.
Carry out your plan.
Look back.
Does your answer make sense?
Why or why not?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
34
Name _________________________________
Date ___________________
Estimation
Here’s the problem.
The distance around Earth at the equator is 24,901
miles. If a jet is flying at 1,000 miles per hour, how long
will it take to fly the distance around the Earth?
Read and understand the problem.
Make a plan.
Solve the problem.
Look back.
Want to try another one?
An explosion in space happened 617,204 miles from Earth. The
speed of light is about 186,282 miles per second. About how
long will it be before the explosion can be seen from Earth?
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
35
Answers
Problem-Solving Steps
Page 2: Each astronaut can choose 9 snacks.
Page 3: Each astronaut needs 800 ounces of water.
Want to try another one? 60 pounds of personal items can be taken on
the mission.
Read a Table
Page 4: The ratio of planets made of gas to total planets is 4 to 8.
Page 5: The ratio of planets made of gas to planets made of rock is 4 to 4.
Want to try another one? The ratio of total planets to planets made of
rock is 8 to 4.
Comparison Sentences
Page 6: Jupiter is 5 times as far as Earth from the Sun.
Page 7: Jupiter is 5/30 (or 1/6) as far as Neptune from the Sun.
Want to try another one? Neptune is 30/5 (or 6) times as far as Jupiter
from the Sun.
Logical Reasoning
Page 8: The ratio of B stars to K stars Kory saw was 3 to 9 on Saturday night,
0 to 12 on Sunday night, and 3 to 21 on the two nights combined.
Page 9: The ratio of classroom hours to simulator hours was 4 to 3 on Monday,
2 to 6 on Tuesday, and 6 to 9 on the two days combined..
Want to try another one? The ratio of students who earned an A to the
entire class was 24 to 32. The ratio of students who earned a B to the
entire class was 4 to 32. The ratio of students who earned an A or a B
to the entire class was 28 to 32.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
36
Equivalent Ratios
Page 10: A person who weighs 180 pounds on Earth would weigh 30 pounds on
the Moon.
Page 11: A person who weighs 140 pounds on Earth would weigh 350 pounds
on Jupiter.
Want to try another one? The weightlifter can lift 5,000 pounds on that
planet.
Use Mental Math
Page 12: The ratio of unidentified flying objects to total flying objects is 1: 4.
Page 13: The ratio of stars to constellations he identified that night is 5:1.
Want to try another one? The ratio of pictures with the Moon hidden to
total pictures is 2 :5.
Use Paper and Pencil
Page 14: The rocket used fuel at a rate of 13 kilograms per 3 seconds.
Page 15: The rocket was moving at 9 kilometers per second.
Want to try another one? The ratio of Mercury’s diameter to Mars’
diameter is 12 to 17.
Use a Calculator
Page 16: The speed of the light was 186,280 miles per second.
Page 17: The average speed of the rocket was 17,642 miles per hour.
Want to try another one? The average time spent was 2,160 hours
per person.
Multiplying Rates
Page 18: Uranus takes 102 hours to rotate 6 times.
Page 19: Venus takes 450 days to orbit the Sun twice.
Want to try another one? Uranus takes 252 years to orbit the Sun 3 times.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
37
Use a Formula
Page 20: The rocket traveled 74,000 miles.
Page 21: The rocket traveled 366,000 miles.
Want to try another one? Mars is about 13,232 miles around at the
equator.
Change Units
Page 22: The rocket speed is 18,600 kilometers per hour.
Page 23: Mercury spins at a rate of 1,416 hours per full rotation.
Want to try another one? The speed of sound is about 343 meters
per second.
Use a Model
Page 24: The class is split into 9 groups.
Page 25: Hilda saw 4 B stars on Friday.
Want to try another one? There are ten tables of students.
Write a Proportion
Page 26: Yes, the ratio of times for Jupiter and Saturn to orbit the Sun is 1 to 3.
Page 27: No, the little boy would weigh about 12 pounds on Mars.
Want to try another one? No, for a 5-minute flight, the rocket will use
1,000 kilograms of fuel.
Scale Drawings
Page 28: Becca’s drawing of Mercury should have a diameter of 10 millimeters.
Page 29: Uranus should be drawn 900 millimeters from the Sun.
Want to try another one? The diameter of Ceres in the drawing should
be 19 millimeters.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
38
Cross Multiply
Page 30: Elly does not have the correct ratio of blue to green paper squares.
Page 31: Yes, the distances are in the correct ratio.
Want to try another one? Yes, each astronaut spent 224 hours monitoring
equipment.
Scale Models
Page 32: Earth is 93 million miles from the Sun.
Page 33: The diameter of the model of Eris should be 1 centimeter.
Want to try another one? Jupiter is about 780 million kilometers from
the Sun.
Estimation
Page 34: About 36 of the meteorites are the black fragile type.
Page 35: It will take about 25 hours.
Want to try another one? It will be about 3 seconds before the explosion
can be seen from Earth.
© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
39