6th Grade F.A.S.T. Math Prep #1

A bag of marbles only has red and blue marbles. The bag has a ratio of blue marbles to red marbles of 3:5, and there are 24 blue marbles in the bag. What is the total number of marbles in the bag?

Five plumbers charge differently hourly rates. Find the mean of the data.

• $41.20

• $41.50

• $41.80

• $42.20

A pancake recipe takes 3 cups of flour for every 2 dozen pancakes. How many cups of flour does Sally need to make 96 pancakes? Use the table to help.

• 12

• 96

• 15

• 288

An animal hospital has 36 cat patients.Each cat eats 3 scoops of cat food per day. Let s represent the total number of scoops of cat food the animal hospital will need per day.

Part A: Which equation represents the total number of scoops of cat food the animal hospital will need per day?

• s = 36 x 3

• s = 36 + 3

• 36 = s - 3

Part B: Select the correct value to complete the statement.The animal hospital will need ________ scoops of cat food per day.

• 12

• 39

• 108

Select all the pairs of expressions that are equivalent.

• 2(x + 6) + x and 3x + 6

• 4y + 2(3 + y) and 6(y + 1)

• 15a + a + 1 and 16a + 1

• 3(2k + 1) + 9 and 6(k + 2)

• 2(w + 1) + 3w and 5w + 1

The points (2, −4) and (2, 7) are on a coordinate plane. What is the distance between the points?

• 2 units

• 3 units

• 9 units

• 11 units

Match the following

• 9/35

• 
• 8/15

• 
• 5/14

• 

The polygon ABCDEF has vertices A(1, −3), B(−1, −3), C(−1, −1), D(−4, −1), E(−4, 5) and F(1, 5). Find the perimeter of the polygon, in units.