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```Name:
CH
Date:
APTER
6
Fractions and Mixed Numbers
PROBLEM SOLVING
Thinking Skills
Solve.
The ﬁgure is a square divided into many smaller pieces.
What fraction of the square is the rectangle?
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
1.
Enrichment 4A
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Use the graph. Express the answers in simplest form.
2.
The graph shows the number of books sold by Mr. Harrods for the
last 6 months.
Book Sales
30
Number of Books
25
20
15
10
5
0
Jan.
Feb.
Mar.
Apr.
May
June
46
a.
14 of the books sold in May and June altogether were comic books.
What fraction of the total number of books sold in May and June were
comic books?
b.
Write the number of books sold in February, March, and April as a
fraction of the total number of books sold during the 6 months.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Month
Chapter 6 Fractions and Mixed Numbers
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3.
2
Raj poured 4_
3 liters of water equally into identical cups.
2
liter of water.
Each cup contained _
9
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
How many cups did Raj use?
4.
In the ﬁgure, X and Y are identical overlapping squares. If the length
of each side of the shaded region is half the length of square X,
what fraction of the ﬁgure is not shaded?
X
Y
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PROBLEM SOLVING
Strategies
fractions in simplest form.
5.
A box contains six number cards. The six numbers form a pattern when
ordered from least to greatest. Joanne draws these four cards from the box.
1
_
2
1
6_
2
1
1_
4
1
_
4
Solve. Express the answer in simplest form.
6.
The total mass of a basket, 4 large pebbles, and 2 small pebbles is
7
_
12 kilogram. The total mass of the basket, 2 large pebbles and 1 small
5
pebble is _
12 kilogram. Find the mass of the empty basket.
48
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
What number cards are likely to be left in the bag?
Chapter 6 Fractions and Mixed Numbers
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7.
Two mystery fractions are both less than 1.
1
The sum of the fractions is 1_
4.
1
The difference between the fractions is _
4.
What are the two fractions?
8.
1
2 plates and 3 bowls weigh 2_
5 pounds.
9
5 plates and 6 bowls weigh 4_
10 pounds.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Find the weight of one plate.
9.
3
2
_
_
of
Mr.
Hussein’s
money
is
equal
to
5 of Ms. Lee’s money. Ms. Lee has \$20
3
more than Mr. Hussein. How much money do they have altogether?
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PROBLEM SOLVING
Exploration
10.
Jolene and Kathy had the same number of baseball cards after Jolene
2
gave _
5 of her cards to Kathy. They had 42 cards in all. How many
baseball cards did Jolene have at ﬁrst?
Show two methods for solving this problem.
Method 2
50
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Method 1
Chapter 6 Fractions and Mixed Numbers
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Solve.
11.
A box contains 5 number cards. The 5 numbers form a pattern when
arranged in order. Lucy draws 3 cards from the box and she places them
on the table as shown.
3
1_
4
1
1_
2
2
What two cards are likely to be left in the box? Show four different patterns.
a.
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b.
c.
d.
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Journal Writing
Explain.
12.
3
4
1
_
_
_
⫹
⫽
5
8
3
13.
5
4
9
_
_
⫺_
6⫽5
11
14.
2
2
_
_
⫻
21
⫽
21
7
7
52
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Chapter 6 Fractions and Mixed Numbers
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15.
Date:
1
1
1
_
_
1_
⫹
3
⫽
4
⫹
4
6
2
1
⫽ 4_
6
16.
3
The diagram shows _
5 of a fraction strip shaded. Juliet erases some of the
3
3
_
10 shaded. Explain the steps she took to shade 10 of the
fraction strip.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Step 1
Step 2
Step 3
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