Pi-Landers Jeopardy no. 2

Prime Factorization

100

What is the prime factorization of 8?

2³

200

What is the prime factorization of 30?

2 * 3 * 5

300

What is the prime factorization of 57?

3 * 19

400

What is the prime factorization of 110?

2 * 5 * 11

500

What is the prime factorization of 120?

2^3 * 3 * 5

Algebra

100

Solve x + 1 = 2

x = 1

200

Solve 2y + 18 = 36

x = 9

300

Factor x² - 4x - 5

(x-5)(x+1)

400

Solve for x² - 2x + 1 = 0

x = 1

500

Solve for integers x: 

x² - x + 6 = 0

No integer solutions

Sequences & Series

100

Find the next term: 1, 3, 5, 7, __

9

200

Find the next term: 3, 6, 12, 24, ___

48

300

Find the next term: 1, 1, 2, 3, 5, __

8

400

Find the general equation of: 3, 5, 9, 17, 33, ...

u_n = 2ⁿ + 1

500

Find the next term: 1, 5, 14, 30, 55, ___

91

Data Analysis

100

Find the mode of this sequence: 

1, 4, 5, 6, 4, 2, 3, 5, 5

5

200

Find the median of this sequence: 

1, 4, 3, 2, 1

2

300

Find the mean of this sequence: 

6, 3, 5, 1, 10

5

400

Find the median of this sequence: 

3, 6, 3, 2, 10, 80

9/2 or 4.5

500

Here are the test scores of 5 students:

20, 16, 11, 16, x

If the mean of the data set is 15, what is the value of x?

12

Geometry

100

Find the area of a rectangle with length 7 m and width 10 m (include units)

70 m^2

200

Find the area of a triangle with a height of 10 cm and base of 7 cm

35 cm^2

300

Find the surface area of a cube with side length 3 cm

54 cm^2

400

Find the volume of the cylinder with radius 3 cm and height 10 cm in terms of pi

90pi cm^3

500

Find the surface area of a cylinder with a radius of 3 cm and length of 12 cm in terms of pi

90pi cm^2