6th Grade Summer School Review

F-D-P

100

Convert 3/5 to a percent

60%

200

Convert 0.85 to a fraction in simplest form

85/100 = 17/20

300

Convert 43% to a fraction in simplest form

43/100

400

Convert 48% to a fraction in simplest form

48/100 = 12/25

500

Convert 0.875 to a percent

87.5%

GCF/LCM

100

Find the GCF of 24 and 30

GCF = 6

200

Find the LCM of 12 and 18

LCM = 36

300

Maria baked 32 cupcakes and 48 cookies for her birthday party. If she wants each person at her party to get an equal share of cupcakes and cookies, what is the maximum number of guests she can have at the party?

GCF = 16

She can have 16 guests. Each guest would receive 2 cupcakes and 3 cookies. 

400

Margo exercises every day. She does cardio every 3 days, leg exercises every 4 days, and arm exercises every 5 days. If she does cardio and arms today, how many days will it be before she does both of those exercises on the same day again?

LCM = 15

She will do cardio and arms together every 15 days.

500

Levi has 16 model cars and 28 model air planes that he wants to display on a bookshelf. If he wants an equal number of cars and an equal number of air planes on each shelf, how many shelves will he need?

GCF = 4

He will need 4 shelves. He will be able to put 4 model cars and 7 model air planes on each shelf. 

Simplifying Expressions

100

9a + 15a

24a

200

4m + 15 - 2m

2m + 15

300

6 (3y + 2)

18y + 12

400

9 (10 - 4w)

90 - 36w

500

8x + 3 (6x - 5)

8x + 18x - 15 

26x - 15

Solving Equations

100

9 + x = 21

x = 12

200

x - 24 = 47

x = 71

300

12x = 84

x = 7

400

x/5 = 15

x = 75

500

x - 47.2 = 23.17

x = 70.37

Writing Equations

100

Write an expression to represent this situation.

Levi had some model cars. He gave half of them away. Then he bought 7 more. 

c/2 + 7

200

When Marissa works out at the gym, she does a 10 minute warm up, 45 minutes of weight lifting, and some cardio. Write an expressions to show how much time Marissa spends at the gym. 

10 + 45 + x

OR

55 + x

300

Ethan rented a bike on vacation. There was a $15 maintenance fee plus $5 per hour. Write an expression to show how much Ethan spent on the bike rental.

$15 + $5h

400

Mr. S brought in 57 doughnuts for his class. Each student received 3 doughnuts. Write an equation to represent the number of students in his class. 

3x = 57

500

Mrs. Morris and her family went to the movies to see Jurassic World. She bought a large popcorn for $8 and 3 orders of nachos. She spent a total of $29. 

Write an equation to show how much each order of nachos cost.

$8 + 3n = $29