Academic Decathlon 2024 Mathematics Section I/II

How many ways can you arrange 9 different books on a single shelf?

(Section I Question)

• 56.420

• 128,740

• 370,251

• 362,880

• 412,540

Answer explanation

Permutation Problem/ Factorial (!)

Tags

CCSS.HSS.CP.B.9

You have 12 different movies, but only 8 will fit in your streaming queue. How many different ways can you arrange the queue if the order of the movies matter?

(Section I Question)

• 12,560,210

• 19,958,400

• 25,612,430

• 38,456,170

• 22,540,380

Answer explanation

Permutation Problem/ Factorial (!)

Tags

CCSS.HSS.CP.B.9

A frosty-milkshake consists of three different flavors of ice cream blended together. If you have 13 different flavors of ice cream to choose from, how many different frosty-milkshakes can you make?

(Section I)

• 196

• 282

• 286

• 312

• 268

Answer explanation

Another factoral Question.

Tags

CCSS.HSS.CP.B.9

If you invest $1000 compounded yearly at an annual rate of 5%, how much will you have at the end of four years?

• 1,200.00

• 1,218.12

• 1,215.51

• 1,376.84

• 1,240.32

Answer explanation

A=P(1+r)^t

where:

• A is the amount of money accumulated after n years, including interest.

• P is the principal amount (the initial amount of money).

• r is the annual interest rate (decimal).

• t is the number of years the money is invested or borrowed

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

• 
• 
• 
• 
• 

Answer explanation

Algebra and simplifying complex expressions.

Tags

CCSS.HSA.APR.A.1

Section II Mathematics

• 13

• 12.5

• 11

• 12

• The series diverges

Answer explanation

Evaluation of series

Section II Question

• 21

• 35

• 7

• 18

• 25

Tags

CCSS.HSA.APR.C.5

The next term in the sequence (3, 6, 9, 12, ….) is…

Section II

• 15

• 13

• 11

• 16

• 18

Tags

CCSS.HSF.BF.A.2

You invest $50,000 into an account with 4% interest, compounded annually. How much money will be in the account after 9 years?

Section II

• $71,165.59

• $70,250.10

• $75,670.97

• $68,990.78

• $69,985.45

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

What is the next term in the sequence (7, 42, 252, 1512, …)?

Section II

• 1,896

• 9,072

• 7,083

• 6,045

• 7,089

Tags

CCSS.HSF.BF.A.2