7th Grade Math SGES

Percent

100

What is 1/8 as a percent? 

12.5%

200

What is 1/5 as a decimal?

0.20

300

What is 83.3% as a fraction?

5/6

400

What is 30% out of 350?

105

3/10 x 350/1

Geometry

100

Find the area of this rectangle: L:=12ft W=3ft

Area=36 ft²

200

find the perimeter: 

base: 3x+5 height=6 length: 2x+14

P=5x+15

300

find the volume of a cylinder (use 3.14 for pi+use calculator) 

diameter:18ft

height: 10ft 

hint: v=(π)r²h

v=(3.14)(9)²(10)

v=2543.4ft² 

400

What is the volume equation for a sphere and a cone 

sphere: v=4/3(𝜋)(r)³

cone: v= 1/3 (𝜋)(r)²

Writing inequalities

100

Write the inequality:

There are at most 100 people on the plane.

p ≤ 100

200

Make up an inequality word problem:

b ≤ 15

problems vary (host judges)

300

Solve the inequality:

8+x<-11

8+x<-11

-8      -8

=x<-19

400

Solve this inequality exquation

11x-x+3>10x+7

11x-x+3>10x+7

10x+3>10x+7

-10        -10

3>7 = no solution

Probibilty

100

What is theoretical probability? 

theoretical probability: what should happen

200

Spinner: numbers #1-8 all equal slots 

Find percent 

P(5)

P(5)=1/8=12.5%

300

List all of the possibilities if you flip 3 coins

2x2x2=8 [ossibiltys 

400

Find the probiblity:

Bag of marbles: 8 green, 6 red, 10 pink. 

Without replacement: 

P(red,pink)

6/24 x 10/23

1/4 x 10/23 (cross cancel)

= 5/46 

Rational Numbers

100

What is a natural number?

No negitives, no decimals, no fractions, no zero:

1,2,3...

200

(All or nothing)

What number set is this: 

12

Natural, Whole, Intager, Rational 

300

Draw the number set "planet"

Small: Natural, Medium: Whole, Big: Integer, Large: Rational, Lonely: Irrational  

400

Give at least two examples of each number set. 

Natural: 1,2,3...

Whole: 0,1,2,3...

Integers: ...-2,-1,0,1,2

Rational: All integers, all fractions, and all decimals that end or repeat. 

Irrational: 3.14159...