NYS 6th Grade Math Review

GCF/LCM

100

Least Common Multiple of 4 and 10?

What is 20?

200

Greatest Common Factor between 42 and 84?

What is 7?

300

The GCF of 36 and 90.

What is 18?

500

Two whole numbers have a LCM of 60.

- Each number is less than or equal to 12

-The GCF of the two numbers is 2.

A. 5 and 12

B. 10 and 12

C. 12 and 15

What is 10 and 12?

Mix

100

A bakery sells 5 apple muffins for every 2 bran muffins sold.  Write a ratio for apple muffins to bran muffins.

What is 5:2, 5 to 2, or 5/2?

200

The opposite of -5.5

What is 5.5?

300

Write "1,200 feet below sea level" as an integer.

What is -1,200?

400

What is 20 % of 50?

What is 10?

500

There are 230 calories in 4 ounces of a strawberry ice cream. How many calories are in 6 ounces?

What is 345?

Geometry

100

The Surface Area, in square inches, of a rectangular prism with a length of 12 inches, a width of 9 inches, and a height of 2 inches? (use formula below)

S = 2(lw + wh + hl)

What is 300 in²?

200

Steve ordered plastic cases for storing his baseball cards. Each case has a length of 12 centimeters, a width of 6.5 centimeters, and a height of 1.25 centimeters.  What is the volume, in cubic centimeters, of one baseball card case? 

(V = lwh)

What is 97.5cm^3? 

500

A shape is made of 12 right triangles of equal size.  Each right triangle has a base of 4 cm and a height of 5cm. What is the total area, in square centimeters, of the shape?

What is 120?

Algebra

100

Write an expression equivalent to 5(6x + 3y).

HINT: Use distributive Property

What is 30x + 15y?

200

Write the expression "7 more than 2 times m"

What is 7 + 2m? 

(or 2m + 7)

300

Write the value of the expression 

              2 [3(4² + 1)] - 2³

What is 94?

400

Create a set of numbers to make the inequality true:

                2x - 1 < 10

Answers could include: (1, 2, 3, 4, 5)

500

Write an equivalent expression for: 

y(2.5 + 7) + y - 2

What is  10.5y - 2?

Algebra

100

The quantity to go in the blank to make the equation true.

x + 2x + _____ = 5x

What is 2x?

200

The high temperature in a mountain city was 15 degrees Celsius. What was the high temperature in degrees Fahrenheit? Use the Formula Below:

F = 1.8C + 32

What is 59?

300

Solve for c:

12 - 9 + c = 12

What is 9?

400

A hotel has a number of meeting rooms, m, each meeting room has 325 chairs. Write an equation to represent c, the total number of chairs, in all the meeting rooms at the hotel.

What is c = 325m? 

500

Solve the equation when x = 4, and y = 2

12x + 30y

What is 108?