6th Grade Math

Numbers & Operations

100

What is the GCF of 28 and 42?

14

200

Solve.

-3 + 2(-8)

-19

300

What is the value of 1/12  +  1/6  +  2/6?  

7/12

400

4.125/1.5 

2.75

500

Which countries border France?

Belgium and Luxembourg to the north, Germany to the north east, Switzerland to the east, Italy and Monaco to the south east, and Andorra and Spain to the south.

Ratios and Rates

100

How many bones do sharks have?

0

200

There are 6 girls and 4 boys in a class. Write the ratio of boys to girls 3 different ways.

4:6

4/6=2/3 

4 to 6

300

Are the following equivalent rates? Explain.

Option 1: 5 shirts for $45

Option 2: 3 shirts for $30

No. The first option is $9 per shirt and the second option is $10 per shirt.

400

What is the unit rate of a car that travels 300 kilometers in 2.5 hours?

120 km/hr or 0.0083 hrs/km

500

Solve the proportion for x.

x/14 = 2/8

x = 3.5

Equivalent Expressions

100

Simplify the expression.

3w + 14w - 5

17w - 5

200

Expand using the distributive property.

5(2y - 1)

10y - 5

300

Simplify.

15y - 16 + 4 - 17y

-2y - 12

400

Simplify.

-20 + 2(3x-1) + 18x

24x - 22

500

What is pi written out to 5 decimals?

3.14159

Equations and Inequalities

100

What is an inverse operation?

The opposite operation. For example, addition is the opposite of subtraction.

200

Solve for w. 

w - 15 = 22 

w = 37

300

Solve for x. 

2x < -30

x < -15

400

Simplify when x = -1.

4x - 2x³

-2

500

Which of the following does not grow on a tree? Eggplant, Olive, or Avocado

Eggplant

Relationships in Geometry

100

What is the formula for the area of a trapezoid?

A = 1/2(b₁+b₂)h

200

If a triangle has a height of 14 cm and a base of 3 cm, what is its area?

21 cm²

300

What is the area of a kite with diagonals measuring 16 units and 18 units?

144 units²

400

What is the surface area AND volume of a cube that has sides measuring 6 inches?

SA = 216 inches²

V = 216 inches³

500

Which of these is NOT a group of four? 

Ghostbusters, Teenage Mutant Ninja Turtles, or The Scooby-Doo gang

The Scooby-Doo gang

Mrs. Tillian

100

How many siblings does Mrs. Tillian have?

3

200

True or False: Mrs. Tillian has been to Australia.

True

300

Which middle school sports team was Mrs. Tillian NOT a member of?

Tennis, Volleyball, Basketball, or Softball

Tennis

400

What are the names of Mrs. Tillian's parents?

Bob & Liz, John & Stacey, Kim & Dan, Barbie & Ken

Kim & Dan

500

What is Mrs. Tillian's pizza of choice?

BBQ chicken pizza