Math Level Test 3

How much more money is earned on a savings account of $5,500 at 6% annual interest for 6 years  if compound interest is used instead of simple interest? (Note: compound interest is calculated  monthly and simple interest is calculated annually.) 

• $248.62

• $284.76

• $396.24

• $424.18

• $530.44

What interest rate is necessary for an investment to double in 11 years if it is compounded monthly? 

• 4.90%

• 5.42%

• 5.84%

• 6.18%

•  6.32%

Each student at a university is given a unique personal identification code consisting of two letters of the  alphabet, other than X, Y, Z. How many students can use this system before the university runs out of codes?

• 506

• 529

• 636

• 651

• 677

A total of fourteen students are competing in the final Academic Decathlon event. In how many different  sequences can the students finish the event?

• 182

• 196

• 479,001,600

• 6,227,020,800

• 87,178,291,200

Four students must be chosen from a class of thirty to solve a math equation up on the whiteboard. How  many different combinations of four students can be formed?

• 27,405

• 54,810

• 109,620

• 657,720

• 810,000

. How many different ways can the letters in the word tallness be arranged (not necessarily as a real word)?

• 10,800

• 11,080

• 12,400

• 10,080

• 11,800

What is the probability of flipping 7 coins (or flipping one coin seven times) and getting 4 heads  and 3 tails?

• 3 / 8

• 35 / 128

• 17 / 64

• 23 / 85

• 52 / 169

What is the probability of rolling three six-sided dice and getting a sum of 14? Round your answer to the  nearest whole number. 

• 4.0%

• 5.0%

•  6.0%

• 7.0%

• 8.0%

Your class has a math quiz today. The quiz has 20 questions and each of the 20 multiple-choice  questions has four choices. However, a student who did not study will have to guess on every single  question. If 14 out of 20 correct is a passing score, what is the probability that the student will pass  the quiz with an exact score of 14 out of 20 correct?

• 0.00256987186%

• 0.02516800000%

• 0.03428531423%.

• 0.01365427188%

• 0.00348743532%

The circumference of a circle is 16π. What is the area?

• 8π

• 16π

• 64π

• 32π

• 256π