Pi
Algebra
Geometry
Number
Challenging
100

A circle has circumference 16π. Its area is

64π

100

Solve: 3x+5 = 2x+19

x = 14

100

The measure of each interior angle in a regular hexagon.

120°

100

The value of 25

32

100

Which number multiplied by itself equals 121?

11 or −11

200

The area of a circle is 81π. The circumference is

18π

200

Solve: x2−5x−24=0

x = 8 or x = -3

200

The area of a triangle with base 10 and height 7.

35

200

The next number in the pattern: 3, 9, 27, 81, __

243

200

Three consecutive integers have sum 72. What is the middle number

24


300

A semicircle has area 72π. The radius is

12

300

If x+y=12 and xy=35, the two numbers are

5 and 7

300

The diagonal of a square with side length 6.

6√2

300

The greatest common factor of 24, 36, and 60

12

300

If the perimeter of a square is 48, the area is

144

400

A cylinder has radius 4 and total volume 320π. The height is

20

400

Solve for x:

2/x + 1/x = 3/4

4

400

A triangle has sides 7, 24, and 25. What type of triangle is it.  

Right triangle

400

The least common multiple of 12 and 15

60

400

A rectangle has area 96 and length 12. The width is

8

500

A circle is inscribed in a square of side length 20. The shaded area outside the circle but inside the square is

400 - 100π 

500

Solve: x + 10/x = 7

x = 5 or x = 2

500

A circle is inscribed in a square with side 12. What is the area of the circle?

36π

500

The sum of the first 10 positive integers

55

500

A circle’s diameter doubles. The area increases by this factor.

4