exercise 1 basics - singapore math · 2020. 6. 14. · 27 1 basics. exercise 1. 9-1 the...

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27 1 Basics Exercise 1 9-1 The Multiplication Table of 3 Chapter 9 Multiplication and Division of 3 and 4 Count by threes and complete the multiplication equations. 10 × 3 = 9 × 3 = 8 × 3 = 6 × 3 = 4 × 3 = 2 × 3 = 7 × 3 = 5 × 3 = 3 × 3 = 1 × 3 = 2 The sum of the digits in the products is , , or .

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Page 1: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

27

1

Basics

Exercise 1

9-1 The Multiplication Table of 3

Chapter 9 Multiplication and Division of 3 and 4

Count by threes and complete the multiplication equations.

10 × 3 =

9 × 3 =

8 × 3 =

6 × 3 =

4 × 3 =

2 × 3 =

7 × 3 =

5 × 3 =

3 × 3 =

1 × 3 =

2 The sum of the digits in the products is , , or .

Page 2: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

28 9-1 The Multiplication Table of 3

Practice

3 × 3 =

3 × 3 is more than 2 × 3.

Circle products of 3.

5 × 3 =

4 × 3 =

7 × 3 = 15 + =

9 × 3 = 30 − =

(a)

(b)

(c)

4 × 3 is 3 more than × 3.

(d)

8 × 3 = − 6 =

Each cake has 3 candles.How many candles are on 7 cakes?

3

4

5

17 16 12 9 25 21 18

× =

6 × 3 = 15 + =

candles are on 7 cakes.

Page 3: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

29

1

9-2 Multiplication Facts of 3

Exercise 2

3 + 3 + 3 + 3 + 3 + 3 =

6 × 3 =

6 + 6 + 6 =

3 × 6 =

8 × 3 =

3 × 8 =

1 × 3 =

2 × 3 =

3 × 3 =

4 × 3 =

5 × 3 =

7 × 3 =

2

3

9 × 3 =

10 × 3 =

3 × 1 =

3 × 2 =

3 × 4 =

3 × 5 =

3 × 7 =

3 × 9 =

3 × 10 =

Basics

(a)

(b)

(c)

(d)

(e)

( f )

(g)

(h)

Page 4: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

30 9-2 Multiplication Facts of 3

Match.

Practice

4

8 × 32 × 3 12

6 × 33 × 8 6

3 × 33 × 4 24

7 × 39 × 3 15

3 × 95 × 3 21

3 × 11 × 3 27

4 × 310 × 3 30

3 × 53 × 6 18

3 × 103 × 7 3

3 × 23 × 3 9

Page 5: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

31

1 Dion is planting 3 tomato seeds in each jiffy pot.How many jiffy pots does he need for 24 seeds?

Basics

9-3 Dividing by 3

Exercise 3

groups of 3 is 24. × 3 = 24

24 ÷ 3 =

He needs jiffy pots.

Sofia divided 18 jiffy pots equally onto 3 trays. How many pots did she put on each tray?

3 groups of is 18.3 × = 18

18 ÷ 3 =

She put jiffy pots on each tray.

2

Page 6: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

32 9-3 Dividing by 3

Practice

× 3 = 12

12 ÷ 3 =

× 3 = 9

9 ÷ 3 =

× 3 = 30

30 ÷ 3 =

× 3 = 15

15 ÷ 3 =

× 3 = 24

24 ÷ 3 =

× 3 = 3

3 ÷ 3 =

× 3 = 18

18 ÷ 3 =

× 3 = 6

6 ÷ 3 =

× 3 = 21

21 ÷ 3 =

× 3 = 27

27 ÷ 3 =

÷ 3 = 4(a) (b) ÷ 3 = 9

÷ 3 = 7 ÷ 3 = 5

÷ 3 = 6 ÷ 3 = 8

(c) (d)

(e) ( f )

4

3

Page 7: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

339-3 Dividing by 3

12 ÷ 3 =

Each girl gets pencils.

Avery, Dana, and Grace share a box of 12 colored pencils equally.How many pencils does each girl get?

There are 21 tennis balls.Sharif puts 3 tennis balls in each can.How many cans does he need?

He needs cans.

=

Laila has a ribbon that is 9 feet long.She cuts it into 3 equal pieces.How long is each piece?

Each piece is feet long.

5

6

7

COLOREDPENCILS

12

Page 8: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

34 9-3 Dividing by 3

Challenge

Caleb has 2 boxes with 6 markers in each box.He and two friends share them equally.How many markers does each boy get?

Mariya has 20 photos and 3 pages in her album.If she wants to put the same number of photos on each page, what is the least number of photos she will have left over?

8

9

10 Ryan is placing stakes 3 inches apart from each other.The distance from the first to the last stake is 30 inches.How many stakes has he placed?

3 in

Each boy gets markers.

She will have photos left over.

He has placed stakes.

Page 9: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

35

1 Add or subtract.

Check

9-4 Practice A

Exercise 4

896 + 48 = 279 + 107 = 456 + 365 =

148 − 82 = 432 − 63 = 803 − 29 =

Write +, −, ×, ÷, or = in each .

24 3 21 21 3 7

3 3 6

(a) (b)

(c) (d)

(e) ( f )

3 3 1

7 3 10 10 3 30(g) (h)

15 3 12

15 3 18

15 3 5

( i ) ( j )

12 3 9

2

Page 10: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

36

R

R

N

R

O

T

E

E

I

T

U

S

H

E

O

9-4 Practice A

Multiply or divide.

Write the letters that match the answers above to learn a fun fact.

18 4 8 10 21 6 15 14 9 12 24 7 45

11 50 18 16 3 30 27 5 4 2 6 19 36

3

S N H

2 × 5 =

7 × 2 =

10 × 3 =

24 ÷ 3 =

4 × 3 =

35 ÷ 5 =

9 × 5 =

10 ÷ 5 =

15 ÷ 3 =

9 ÷ 3 =

3 × 7 =

5 × 10 =

6 × 3 =

3 × 2 =

27 ÷ 3 =

8 × 2 =

18 ÷ 1 =

20 ÷ 5 =

Page 11: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

379-4 Practice A

3 bags of flour weigh 9 kilograms.How much does one bag of flour weigh?

One bag of flour weighs kg.

A bag of potatoes weighs 3 kilograms.How much do 9 bags of potatoes weigh?

9 bags of potatoes weigh kg.

Arman can fit 15 pots equally onto 3 trays.

pots go on each tray.

(a)

(b)

trays are needed for 25 pots.

How many pots go on each tray?

How many trays are needed for 25 pots?

4

5

6

FLOURFLOUR

ALL-PURPOSE

ALL-PURPOSE

Potatoes

Page 12: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

38 9-4 Practice A

Challenge

+ + = 12

+ + + = 14

+ + =

There are 10 tricycles and bicycles in all.If there are 23 wheels, how many are bicycles and how many are tricycles?

A piece of string is 20 ft long.It is cut into as many pieces as possible that are each 3 ft long.How many 3-ft long pieces are there?How long is the left over piece of string?

7

8

9

There are bicycles and tricycles.

The left over piece of string is ft long.

There are pieces that are 3 ft long.

Page 13: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

97

1

Basics

11-5 Comparing and Ordering Fractions

Exercise 5

2

(a)

(b)

of the circle is larger than of the same size circle.

of the square is smaller than of the same size rectangle.

(a)

(b)

of the triangle is smaller than of the same-size triangle.

of the rectangle is larger than of the same size rectangle.

14

16

19

13

Page 14: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

98 11-5 Comparing and Ordering Fractions

Color one part of each rectangle to show the given fraction.Then use the rectangles to answer the problems below.

Circle the largest fraction.

Circle the smallest fraction.

(a) (b) 16 18 19

15 1

12 19110 16 13(c) (d)

(a) (b)18 16 1

1216 13 19

15 18 19

110 16 15(c) (d)

3

4

5

Practice

112

110

19

18

16

15

13

18

13

110

Page 15: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

99

and Alice painted 13 of the room.Who painted the most?

11-5 Comparing and Ordering Fractions

Darryl ate 16 of a pizza.

Fang painted 18 of a room, Debra painted 15 of the room,

Wainani has finished reading about a third of her book.Has she finished more or less than half of her book?

Write the fractions in order, beginning with the smallest.

Write the fractions in order, beginning with the largest.

6

7

8

9

10

110

111

112

16

14

19

17

15

12

18

His brother ate 13 of the same pizza.Who ate less?

Page 16: Exercise 1 Basics - Singapore Math · 2020. 6. 14. · 27 1 Basics. Exercise 1. 9-1 The Multiplication Table of 3. Chapter 9. Multiplication and Division of 3 and 4. Count by threes

100 11-5 Comparing and Ordering Fractions

Use different colors to show each fraction.The colored parts should not overlap.Circle the largest fraction for each.

Challenge

11

Is two-fourths of a shape larger than two-fifths of that same shape?

(a) (b)28 24

26 23

12

Circle the smaller fraction.13

112

13

14

16

118

19

16

18

14

14

16

13