Name
Lesson 17.5
Tree Diagrams
For 1–3, use the tiles and the spinner. Draw a tree diagram to find the total number
of possible outcomes.
1. Draw a tile at random and spin the
pointer. How many possible outcomes?
A E I PQ R
3. Toss a number cube labeled 1 to 6 and
spin the pointer. How many possible
outcomes?
2. Toss coin and draw a tile at random.
How many possible outcomes?
Problem Solving and Test Prep
4. If Ian rolls a die labeled 1-12 and tosses
5. Liam Growser put his first name letter
tiles in one bag and his last name letter
tiles in another bag. How many
outcomes are possible if he randomly
removes one tile from each bag?
a coin, how many outcomes are
possible?
6. Imee can choose a gold, silver or string
7. Matt can choose a plain, poppy seed,
bracelet with red, green, blue, or yellow
beads. How many bracelet and bead
choices does Imee have?
A 7
garlic, or sesame bagel with plain or
herb cream cheese. How many bagel
sandwich choices does Matt have?
A 6
8
B
4
C 12
C
8
D 14
D 10
B
PW113
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PH_C17_L5.indd PW113
6/15/07 12:14:41 PM
Name
Name
Lesson 17.5
Lesson 17.6
Tree Diagrams
Combinations and Arrangements
For 1–3, use the tiles and the spinner. Draw a tree diagram to find the total number
of possible outcomes.
Make a list or draw a tree diagram to find the total number of possibilities.
Check students’ drawings.
1. ice-cream combinations: mint, vanilla
1. Draw a tile at random and spin the
pointer. How many possible outcomes?
2. summer-camp activity combinations:
hiking or horseback riding; 2-day, 3day, or 4-day outings
or chocolate ice cream; chocolate
chip, caramel syrup, or toffee topping
A E I PQ R
3. Toss a number cube labeled 1 to 6 and
spin the pointer. How many possible
outcomes?
18 possible outcomes
9 possibilities
6 possibilities
3. ways to arrange a penny, nickel, and
2. Toss coin and draw a tile at random.
4. order in which Raymart, Nicole, Alissa,
dime in a line
How many possible outcomes?
12 possible outcomes
and Marie line up to start a race
across the soccer field?
18 possible outcomes
6 possibilities
Problem Solving and Test Prep
4. If Ian rolls a die labeled 1-12 and tosses
Problem Solving and Test Prep
5. Liam Growser put his first name letter
tiles in one bag and his last name letter
tiles in another bag. How many
outcomes are possible if he randomly
removes one tile from each bag?
a coin, how many outcomes are
possible?
24 possible outcomes
5. Kim needs to groom her 4 cats Cutie,
6. Joy’s snack choices include 4 types of
cookies and 2 types of drinks. If she
chooses one cookie and one drink, how
many possible combinations are there?
Magic, Stitch, and Star. She grooms
Cutie first. In how many different orders
can Kim groom the remaining 3 cats?
28 possible outcomes
6. Imee can choose a gold, silver or string
24 possibilities
8 possibilities
6 different orders
7. Matt can choose a plain, poppy seed,
bracelet with red, green, blue, or yellow
beads. How many bracelet and bead
choices does Imee have? C
A 7
garlic, or sesame bagel with plain or
herb cream cheese. How many bagel
sandwich choices does Matt have? C
A 6
7. Kathy has 3 shirts and 4 pairs of shorts
8. Leila has 4 pictures to hang on her wall
to choose from. How many possible
choices does Kathy have? D
A 6
in a single line. In how many different
ways can she hang them? B
3
A
8
B
4
B
7
B
24
C 12
C
8
C
9
C
9
D 14
D 10
B
D 12
Circled problems are suggested homework problems.
PW113
Practice
D 12
Circled problems are suggested homework problems.
PW114
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PH_C17_L5.indd PW113
© Harcourt • Grade 5
6/15/07 12:14:41 PM
Lesson 17.5
Item
Lesson 17.6
Suggested rationale
Item
Suggested rationale
1
draw a tree diagram
1
draw a tree diagram
2
draw a tree diagram
2
draw a tree diagram
4
problem solving
3
draw a tree diagram
5
problem solving
4
draw a tree diagram
6
test prep
5
problem solving
7
test prep
6
problem solving
7
test prep
8
test prep
PW113-PW114
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatB.indd PW113
7/2/07 2:44:23 PM