Geometry
Algebra
100

The interior angle of a pentagon.

What is 108?

100

Find the solutions of the quadratic x^2+5x+6=0

What is -2 and -3?

200

Find how many edges a polyhedron has with 12 faces, 20 vertices.

What is 30?

200

360 workers need 20 hours to make 5 houses. How many more workers are needed to make 5 houses in 15 hours? 

What is 120?
300

Two triangles are similar. One triangle has side lengths 13 inches, 14 inches, and 15 inches. The other triangle has 26 inches, 28 inches, and 30 inches. Find the ratio of the area of the larger triangle to the smaller triangle.


What is 4:1?

300
Find the solution(s) of the cubic x^3+3x^2+3x+1=0.

What is -1

400

Find the inradius of a circle inscribed in a triangle with side lengths of 6, 8, and 10.

What is 2?

400

Find the sum of the roots of the cubic x^3+8x+24x+120=0

What is -8?

500

Find the smallest possible surface area of a rectangular prism with volume 512.

What is 384?
500

Let a cubic be x^3+7x^2+22x+9=0. Let the roots be a,b,c. Find 1/(ab)+1/(bc)+1/(ac).

What is 7/9?

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