Download ~ Answer Key ~ 5th Grade Unit 12 Checking Progress

5th
~ Answer Key ~
Grade Unit 12 Checking Progress
1. Steve rolls a 6-sided die and then flips a coin.
How many different ways can the die roll and coin toss turn
out?
a. Use the Multiplication Counting Principle to answer.
____12______ different ways.
b. Draw a tree diagram to show all the possible ways.
Suggestion: Use the letters H and T to represent HEADS and
TAILS.
1
H
2
T
H
3
T
H
4
T
H
5
T
H
6
T
H
T
c. Which method do you think is easier for finding the number of
possible results? _____Answers Vary__________________
12a. Use tree diagrams to find all possible ways a
sequence of choices can be made.
1
2
3
1
2 3
2. In Problem 1, what is the probability that Steve
a. rolls a 5 and the coin lands on HEADS? 1/12
b. rolls a prime number? 6/12 or 3/6 or 1/2
c. tosses the coin so that it lands on HEADS? 6/12 or 1/2
12b. Compute the probability of outcomes when choices
are equally likely.
1
1
2
2
3
3
A school cafeteria offers these choices for lunch:
Main course: pizza, hot dog or taco
Drink: milk or juice
Dessert: cookies, ice cream or cake
3. How many different ways can a student choose one main course, one
drink and one dessert? Use the Multiplication Counting Principle.
____3____ * ____2____ * ____3____
4. Number of different ways to select foods for lunch: __18___
5. What would be the number of different ways to select foods for
lunch if you add one more drink choice. ________27_________
12c. Use the Multiplication Counting Principle to find the
total number of possible outcomes of a sequence of
choices.
1
2
3
1
2
3
For each number below, draw a factor tree and write the prime
factorization.
6.
60
60 =
2 * 2 * 3 * 5
7.
54 =
54
8.
2 * 3 * 3 * 3
12h. Find the prime factorizations of numbers.
33
33 = 3 * 11
1
2
3
1
2
3
9. What prime factors do 60 and 54 have in common? __2, 3_____
10. What is the greatest common factor of 60 and 54? _____6____
Explain how you found it. _______SA_____________________
__________________________________________________
__________________________________________________
12d. Find the greatest common factor of two numbers.
1
2
3
1
2
3
11. What is the least common multiple of 12 and 30? ___60______
12. What is the least common multiple of 6 and 18? _____18_______
Explain how you found it. ____SA________________________
__________________________________________________
__________________________________________________
12e. Find the least common multiple of two numbers.
1
2
3
1
2
3
Rewrite each fraction pair with a common denominator.
13.
3
5
and
8
12
9
10
and
24
24
14. Sally bought a large pizza. She wants to cut the pizza
so that it can be shared equally by 2 people, 3 people,
4 people, 6 people, or 8 people. Into how many slices
should Sally cut the pizza?
___24 slices________
(unit)
15. There are 30 students in Vicki’s class. Two-thirds of
her class rides to school on the school bus. The other
students walk to school. How many students walk to
school?
___10 students______
(unit)
12g. Find and identify factors of numbers.
0-2
3-4
5-6
1
2
3
16. Holly was playing Name That Number. Of the 5 cards
she turned over, 60% were black. How many black cards
were there?
__3 black cards______
(unit)
17. Three out of 7 cars parked on one street were red.
If there were 28 cars, how many cars were red?
__12 red cars_______
(unit)
18. Joy’s heart beats 11 times in 10 seconds.
At this rate, about how many times would it
beat in 1 minute?
____66 times_______
(unit)
12f. Solve ratio and ratio number stories.
0-2
3-4
5-6
1
2
3