End Of Year

Algebraic expressions

100

Simplify: 

3x+4x−2x+5-3-6 

5x - 4

200

Solve: 

2x+7=15

x=4

300

3(x+2) = 2x+10

x=4

400

Simplify:

(2(x−3)+4(x+1)) (5(x - 1) )

30x²−40x+10

500

3(2x−1)−4x=x+1

x=1

Geometry

100

What is the sum of angles in a triangle?

 180°

200

Find the area of a triangle with base 10 cm and height 6 cm

30 cm²

300

Find the surface area of a cube with side length 5.

150 

400

A cylinder has a radius of 3 cm and a height of 8 cm.

What is the volume of the cylinder? (Use pi≈3.14)

226.08 cm³

500

Find the area of a rectangle if x=4. with length x+3 and width x 

28

Probability

100

A die is rolled. What is the probability of rolling a 6?

1 / 6 

200

A bag has 5 red, 3 blue, and 2 green marbles. What is P(not blue)?

7 / 10 

300

A bag has 2 red and 3 blue marbles. Two marbles are picked (without replacement). What is the probability both are red?

1/ 10 

400

A coin is flipped 3 times. What is the probability of getting all heads?

 1 / 8

500

A bag contains x red marbles and 4 blue marbles.

If the probability of picking a red marble is 1/3, find x.

x=2

Rates and Ratios

100

Write the ratio of 6 to 12 in simplest form.

1:2

200

The ratio of boys to girls is 3:5. If there are 24 students total, how many are boys?

 9 boys

300

A map scale is 1 inch = 20 miles. Two cities are 3.5 inches apart on the map. How far apart are they in real life?

70 miles

400

Two machines can produce 240 parts in 6 hours working tog

360

500

A car travels at a constant speed. It goes 150 miles in x hours.

If its speed is 50 miles per hour, find x.

3 hours 

Complex Math

100

Find x:

3(2x−4)+5=23

x=5

200

Simplify:

2³+4(6−2)²

72

300

Find x:

(2x+6) / 3 = 8

x=9

400

5(x−2)=3(x+4)

x=11

500

3x²−12=0

x=2