Math Level Test 2

You borrow $500 at 8% simple interest per week. If you ended up owing $700, how long did it take for you to  pay back the loan?

• 3 weeks

• 4 weeks

• 5 weeks

• 6 weeks

• 7 weeks

If $400 is invested at 3.5% annual interest compounded quarterly (four times per year), how much is the  investment worth at the end of eight years? 

• $512.79

• $528.61

•  $584.48

• $605.32

• $622.25

At the end of ten years, how much will an initial investment of $25,000 be worth if it earns 7.5% annual  interest compounded monthly? 

• $49,505.33

• $50,707.57

• $51,423.89 

• $52,801.62

• $53,903.74

Joey has 26 different shirts, 13 different pairs of pants, 11 pairs of shoes, 5 belts, and 13 ties. Assuming  factors such as “color coordination” and “matching” can be ignored, how many different outfits can Joey  create?

• 223,080

• 232,375

• 241,670

• 263,640

• 290,004

Twelve cyclists are racing in a 20-mile event. In how many different sequences could the cyclists finish the  race? 

• 40,320

•  3,455,900

• 39,916,800

• 479,001,600

• 784,122,420

If a student uses 12 members of the alphabet at a time, how many arrangements of 12 letters could the  student make (in factorial form)?

• 26!−12! / 14!

• 26!−14! / 12!

• 26! / 12!

• 26!−0! / 12!

• 26! / 14!

The Academic Decathlon Club with 50 members needs a seven-member committee to determine  which competitions to attend next year. If the order of selection does not matter, then how many  different possible committees can be chosen? 

•  85,900,584

• 3,500

• 99,884,400

• 503,417,376,000

• 15,890,700

What is the coefficient of the x4 term in the expansion of (x + 1)9? 

• 70

• 104

• 126

• 188

• 205

A 35-question multiple choice math test has five options for each question. What is the probability that you  will get 33 or more correct if you were to guess on every single question?

• 9661/5^33

• 631/35^5

• 631/5^35

• 9661/35^5

• 9661/5^35

What is the height of a rectangular pyramid that has base sides measuring 10 and 15, if the volume of the  pyramid is 1,000? 

• 6

• 15

• 10

• 20

• 12