PEMDAS
Algebra & Ratio
Geometry
Word Problems
Advanced Math
100

3+5×2

13

100

2x+3=9    x=?

3

100

What is the perimeter of a rectangle with length 8 cm and width 5 cm?

26 cm

100

A car travels 60 miles per hour. How far will it travel in 3 hours?

180

100

What is the square root of 144?

12

200

(8+2)×4

40

200

4(x−5)=12    x=?

8

200

What is the area of a triangle with a base of 10 cm and a height of 6 cm?

30cm2

200

Sarah has 3 apples, and Mike has 5 apples. What is the ratio of Sarah’s apples to Mike’s apples?

3:5

200

What is the volume of a cube with a side length of 4 cm?

64 cm3

300

5+6×(2+3)2

155

300

If the ratio of boys to girls in a classroom is 3:5, how many girls are there if there are 12 boys?

20

300

How many sides does a hexagon have?

6

300

If it takes 4 workers 5 hours to build a wall, how many hours will it take 10 workers to build the same wall, assuming the rate of work is constant?

2 hours

300

If 2x+3=112x + 3 = 112x+3=11, what is the value of x?

4

400

(4×3+23)÷2−6

4

400

45 : 50 = 

9: 10

400

What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14

153,86 cm2

400

A shirt costs $30, and there is a 20% discount. What is the price after the discount?

$24

400

What is the solution to the equation x2−16=0?

The solutions are x=4x and x=-4. 

500

3×(2+4)2−5×23÷5

100

500

3(x+4)−2(x−1)=5x+10     x=?

1

500

The length of the hypotenuse of a right triangle is 13 cm, and one leg is 5 cm. What is the length of the other leg?

12 cm (Pythagorean Theorem: a2+b2=c2

500

A garden has a length of 12 meters and a width of 8 meters. How much fencing is needed to surround the garden?

40 meters

500

What is the derivative of f(x)=3x2+5x+2f(x) = 3x^2 + 5x + 2f(x)=3x2+5x+2?

f′(x)=6x+5