Download 5th Grade Unit 12 Checking Progress

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5th 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.
__________ 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.
c. Which method do you think is easier for finding the number of
possible results? __________________________________
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?
b. rolls a prime number?
c. tosses the coin so that it lands on HEADS?
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.
________ * ________ * ________
4. Number of different ways to select foods for lunch: _____
5. What would be the number of different ways to select foods for
lunch if you add one more drink choice. ____________________
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 =
7.
___
54
8.
54 =
12h. Find the prime factorizations of numbers.
33
33 =
1
2
3
1
2
3
9. What prime factors do 60 and 54 have in common? _______
10. What is the greatest common factor of 60 and 54? _________
Explain how you found it. ______________________________
__________________________________________________
__________________________________________________
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? _________
12. What is the least common multiple of 6 and 18? ____________
Explain how you found it. ______________________________
__________________________________________________
__________________________________________________
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
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?
__________________
(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?
__________________
(unit)
12g. Find and identify factors of numbers.
1-2
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?
__________________
(unit)
17. Three out of 7 cars parked on one street were red.
If there were 28 cars, how many cars were red?
__________________
(unit)
18. Joy’s heart beats 11 times in 10 seconds.
At this rate, about how many times would it
beat in 1 minute?
__________________
(unit)
12f. Solve ratio and ratio number stories.
1-2
3-4
5-6
1
2
3