Volume
Ratios
Conversions
Algebra
Challenge
100

What is the volume formula for a triangular prism?

V=ᵇˡ⁄₂h

100

What is the simplified ratio of 13:39?

1:3

100

Convert 1 km to cm 

100 000 cm

100

Solve for x: 3x = 18

x=6

100

A rectangular prism has a width of 30 cm and a height of 10cm. If its length is twice its width, what is its area in mm³?

18,000,000 mm³

200

Calculate the area of a rectangular based pyramid with a length of 3cm, a width of 2cm, and a height of 5cm.

V=10cm³

200

Are 19:38 and 6:12 the same ratio?

Yes

200

Convert 10 cm cubed to mL

10 mL

200

Solve for x: 4x - 7 = 13

x=5

200

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. Two marbles are drawn at random with replacement (independent event). What is the probability that both marbles are red?

1/4, 0.25, 25%

300

The volume of a rectangular prism is 30cm³ and has a length of 3cm and a width of 2cm. What is the height?

h=5cm³

300

If the ratio of blue balls to red balls is 1:2 and there are 12 blue balls then how many red balls are there?

24 red balls

300

Convert 0.25 to a fraction and percent

1/4, 25%

300

Solve for x: 3(x - 4) = 18

x=10

300

What's 3²(√49 - √25) ÷ 36 as a decimal?

0.5

400

What is the volume formula for a trapezoidal prism?

½(b1+b2)lh

400

 Are 39:156 and 2:8 the same ratio?

Yes

400

Convert 67 m cubed to cm cubed and km cubed

67, 000, 000 cm³, 0.000067 km³

400

Solve for x: 3x + 48 = 5(3 + 12)

x=9

400

A shirt originally costs $8². If the price increases by 25%, what is the new price?

80

500

What is the volume formula for a composite figure containing a trapezoidal prism and a cone?

½(b1+b2)lh + πr²h/3

500

 The ratio of red marbles to blue marbles is 3:5. If There are 12 red marbles how many blue marbles are there?

20 blue marbles

500

Convert 0.1 m cubed to mL

100,000 mL

500

Solve for x: 5x − 2 = 3x + 6

x=4

500

If x = −2, what is the value of: 3x² − 4x − 7?

13