Download Fractions and Mixed Numbers - Mercer Island School District

Name:
CH
Date:
APTER
3
Fractions and Mixed Numbers
PROBLEM SOLVING
Thinking Skills
1.
1
Find the difference between 3 more than _
and 3.
3
2.
2
Find the sum of 3_
3 and 4 ⫼ 9.
3.
3
5
1
_
_
Find the value of 2_
⫹
3
⫺
5
4.
6
3
20
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Solve. Show your work.
Chapter 3 Fractions and Mixed Numbers
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Name:
4.
Date:
Look at the number line.
A
31
4
B
4 41
Find the difference between the numbers represented by A and B.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
5.
2
Anna walked 2 _
5 kilometers from her house to school. She then walked
1
another _
4 kilometer from the school to the library. She walked an
1
additional 1_
5 kilometers from the library back to her house. How far
did Anna walk in all?
Enrichment 5A
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Name:
6.
Date:
4
The figure shows two identical overlapping squares. _
7 of each square
is shaded. Express the shaded area as a fraction of the area of the
whole figure.
7.
4
The figure shows two identical overlapping triangles. _
9 of each
unshaded area.
22
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
triangle is shaded. Express the shaded area as a fraction of the
Chapter 3 Fractions and Mixed Numbers
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Name:
8.
Date:
Luke went on a cycling trip with his friends. Estimate the time he took,
to the nearest hour or half hour, to cycle from point A to point F.
B
A
⫹11 hour
5
C
3
⫹ hour
4
0 hour
D
⫹2 5 hour
7
F
E
⫹3 1 hour
6
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
3
⫹ hour
8
Enrichment 5A
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Date:
PROBLEM SOLVING
Strategies
Solve. Show your work.
Five fractions and mixed numbers are to be arranged in a pattern.
Four of them are shown below.
3
24
4 58
7
8
1
12
?
The missing mixed number is the greatest of the five fractions and
mixed numbers.
Find the missing mixed number.
Then write the five fractions and mixed numbers in order from
least to greatest.
24
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9.
Chapter 3 Fractions and Mixed Numbers
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Name:
10.
Date:
1
Aiden’s age is _
7 of his father’s age. His father will be 61 years old
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
1
in 5 years. In how many years will Aiden’s age be _
5 of his father’s age?
Enrichment 5A
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Name:
It takes 3 minutes to fill an empty tank with water from a tap. When
the tap is turned off, and the drain is opened, it takes 4 minutes for
the tank to empty. How long will it take to fill the empty tank when
the tap is running and the drain is opened?
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
11.
Date:
26
Chapter 3 Fractions and Mixed Numbers
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Date:
PROBLEM SOLVING
Exploration
Solve. Show your work.
12.
Solve this problem in two ways.
3
A bottle is filled with water. A second bottle, of the same size, is _
7
filled with water. What fraction of water must be poured from the
first bottle into the second bottle so that both bottles contain the
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
same amount of water?
Enrichment 5A
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Name:
13.
Date:
Use a calculator to find the values of these fractions in decimal form.
1
_
⫽
2
2
_
⫽
3
3
_
⫽
4
2
_
⫽
5
5
_
⫽
6
2
_
⫽
7
7
_
⫽
8
2
_
⫽
9
6
_
⫽
11
11
_
⫽
12
Compare the decimals. Then put the fractions into two groups.
How did you group them?
28
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3
_
⫽
10
Chapter 3 Fractions and Mixed Numbers
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Date:
Journal Writing
List the steps.
14.
3
5
_
List the steps you use to estimate the sum of 2_
7 and 3 9 .
Step 1
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Step 2
15.
8
1
_
List the steps you use to estimate the difference of 5_
9 and 2 10 .
Step 1
Step 2
Enrichment 5A
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