QUIZ #2 Math 161 Summer 2025

Select the final configuration of base ten blocks for 221 ÷ 52 using a measure out interpretation.

• 4 groups of 52 blocks with 13 blocks remaining

• 5 groups of 52 blocks with 11 blocks remaining

• 3 groups of 52 blocks with 25 blocks remaining

• 2 groups of 52 blocks with 17 blocks remaining

The final configuration of base ten blocks for 123 ÷ 4 using a partition interpretation is:

• 2 tens, 10 ones in each group, with 3 ones remaining

• 3 tens, 3 ones in each group, with 1 one remaining

• 1 ten, 8 ones in each group, with 2 ones remaining

• 4 tens, 2 ones in each group, with 3 ones remaining

The primes between 220 and 230 are:

• 223, 227, 229

• 221, 223, 227

• 222, 225, 229

• 224, 226, 228

The Fundamental Theorem of Arithmetic states that:

• Every integer greater than 1 can be uniquely factored into prime numbers, apart from the order of the factors.

• Every integer can be written as a sum of two squares.

• Every prime number is odd.

• Every integer greater than 1 is a prime number.

The final configuration of base ten blocks for 135 ÷ 11, using a missing factor interpretation with an area model, is:

• 1 group of 11 tens and 2 groups of 1 ones left over

• 12 groups of 11 with no remainder

• 13 groups of 10 with 5 left over

• 10 groups of 13 with 5 left over

Find the GCD(36, 54) using the Euclidean Algorithm.

• 12

• 6

• 18

• 9

Find the LCM(252, 270) using any method.

• The LCM of 252 and 270 is 3780.

• The LCM of 252 and 270 is 5400.

• The LCM of 252 and 270 is 2520.

• The LCM of 252 and 270 is 2700.

Use prime factorization to find GCF(252, 270).

• 18

• 12

• 36

• 27

A high school consists of 2/5 freshmen, 1/4 sophomores, 1/6 juniors, and the rest seniors. What fraction of the high school are seniors?

• 7/20

• 1/5

• 3/10

• 1/8

A high school consists of 2/5 freshmen, 1/4 sophomores, 1/6 juniors, and the rest seniors. If the high school has 3480 students, how many are seniors?

• 1218

• 870

• 580

• 812