Question 1

What is the smallest composite number that is divisible by no prime less than or equal to 19? ​

Accepted Answer

A)   674
B)   361
C)   667
D)   657
E)   399 C

Question 2

To determine whether 719 is a prime number, it suffices to check that no prime number less than ___ is a factor of it. ​

Accepted Answer

A)   28
B)   32
C)   29
D)   27
E)   37 D

Question 3

Find the missing digits. ​ 18 ⋅ ( _ _4 + 29_ ) = 19,080 ​ ​

Accepted Answer

A)   18 ⋅ ( 764 + 295 )  = 19,080
B)   18 ⋅ ( 764 + 296 )  = 19,080
C)   18 ⋅ ( 774 + 296 )  = 19,080
D)   18 ⋅ ( 754 + 296 )  = 19,080
E)   18 ⋅ ( 814 + 295 )  = 19,080 B

Question 4

A computer company has 6,837 copies of a hot-selling program and wants to ship the same number to each of its 21 distributors. Approximately how many programs does each distributor get? ​

Accepted Answer

A)   228
B)   684
C)   42
D)   326
E)   21

Question 5

Find the smallest natural number that is divisible by the first 12 natural numbers. ​

Accepted Answer

A)   27,720
B)   27,730
C)   27,719
D)   27,715
E)   27,726

Question 6

Multiply: ​ 710 × 15 ¯¯¯¯¯¯

Accepted Answer

A)   10,650
B)   3,550
C)   9,940
D)   12,150
E)   9,650

Question 7

Multiply: ​ 187 × 111 ¯¯¯¯¯¯

Accepted Answer

A)   21,978
B)   21,757
C)   20,757
D)   10,757
E)   19,747

Question 8

Find the quotient of 740 and 6 . ​

Accepted Answer

A)   122 r 3
B)   124 r 2
C)   123 r 2
D)   123 r 3
E)   122 r 2

Question 9

Four children want to share 196 jelly beans. How many does each get? ​

Accepted Answer

A)   49
B)   25
C)   98
D)   33
E)   147

Question 10

Find a number that when divided by 3 gives a remainder of 0 , when divided by 5 gives a remainder of 2 , and when divided by 7 gives a remainder of 2 . ​

Accepted Answer

A)   77
B)   72
C)   67
D)   75
E)   65

Question 11

What is 0.26544 divided by 0.84? ​

Accepted Answer

A)   0.327
B)   0.417
C)   0.306
D)   0.307
E)   0.316

Question 12

Determine whether the number is prime or composite. ​ 139 ​

Accepted Answer

A)   prime
B)   composite

Question 13

Multiply: ​ 2199 × 302 ¯¯¯¯¯¯¯

Accepted Answer

A)   654,098
B)   673,098
C)   653,098
D)   663,098
E)   664,098

Question 14

People at the copy center at Keene State College told me that they used 1000 reams (one ream is 500 sheets) of paper last semester at my college. Departments are charged 4 ¢ per copy when they use the copy center. If departments use their own copy machines, which they do for small jobs, they are charged 5 ¢ per copy. How much did the college save by having a copy center? ​

Accepted Answer

A)   $ 50,000.0
B)   $ 20,000.0
C)   $ 5,000.0
D)   $ 25,000.0
E)   $ 200,000.0

Question 15

Find the product of 3, 29, and 81.

Accepted Answer

A)   7037
B)   7050
C)   7047
D)   7076
E)   7038

Question 16

Divide: ​  ​

Accepted Answer

A)   90
B)   92
C)   103
D)   112
E)   93

Question 17

Without doing any computations, order the following from least to greatest. ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Pete has just made a batch of marshmallow treats. The baking pan measures 13 inches by 10 inches. He has decided that each treat will be  inches by 1 inch. Determine how many treats can he get from one pan. Round your answer to the nearest integer. ​

Accepted Answer

A)   90
B)   83
C)   82
D)   87
E)   97

Question 19

Multiply: ​ 784 × 357 ¯¯¯¯¯¯

Accepted Answer

A)   240,618
B)   276,318
C)   244,188
D)   279,888
E)   287,361

Question 20

Multiply: ​ 5298 × 72 ¯¯¯¯

Accepted Answer

A)   371,456
B)   328,476
C)   381,456
D)   376,158
E)   381,384

Exam 4: Understanding Multiplication and Division

What is the smallest composite number that is divisible by no prime less than or equal to 19?

To determine whether 719 is a prime number, it suffices to check that no prime number less than ___ is a factor of it.

Find the missing digits. 18 ⋅ ( _ _4 + 29_ ) = 19,080

A computer company has 6,837 copies of a hot-selling program and wants to ship the same number to each of its 21 distributors. Approximately how many programs does each distributor get?

Find the smallest natural number that is divisible by the first 12 natural numbers.

Multiply: 710 × 15 ¯¯¯¯¯¯

Multiply: 187 × 111 ¯¯¯¯¯¯

Find the quotient of 740 and 6 .

Four children want to share 196 jelly beans. How many does each get?

Find a number that when divided by 3 gives a remainder of 0 , when divided by 5 gives a remainder of 2 , and when divided by 7 gives a remainder of 2 .

What is 0.26544 divided by 0.84?

Determine whether the number is prime or composite. 139

Multiply: 2199 × 302 ¯¯¯¯¯¯¯

Find the product of 3, 29, and 81.

Divide:

Without doing any computations, order the following from least to greatest.

Pete has just made a batch of marshmallow treats. The baking pan measures 13 inches by 10 inches. He has decided that each treat will be inches by 1 inch. Determine how many treats can he get from one pan. Round your answer to the nearest integer.

Multiply: 784 × 357 ¯¯¯¯¯¯

Multiply: 5298 × 72 ¯¯¯¯

Exam 4: Understanding Multiplication and Division

What is the smallest composite number that is divisible by no prime less than or equal to 19? ​

To determine whether 719 is a prime number, it suffices to check that no prime number less than ___ is a factor of it. ​

Find the missing digits. ​ 18 ⋅ ( _ _4 + 29_ ) = 19,080 ​ ​

A computer company has 6,837 copies of a hot-selling program and wants to ship the same number to each of its 21 distributors. Approximately how many programs does each distributor get? ​

Find the smallest natural number that is divisible by the first 12 natural numbers. ​

Multiply: ​ 710 × 15 ¯¯¯¯¯¯

Multiply: ​ 187 × 111 ¯¯¯¯¯¯

Find the quotient of 740 and 6 . ​

Four children want to share 196 jelly beans. How many does each get? ​

Find a number that when divided by 3 gives a remainder of 0 , when divided by 5 gives a remainder of 2 , and when divided by 7 gives a remainder of 2 . ​

What is 0.26544 divided by 0.84? ​

Determine whether the number is prime or composite. ​ 139 ​

Multiply: ​ 2199 × 302 ¯¯¯¯¯¯¯

Find the product of 3, 29, and 81.

Divide: ​ ​

Without doing any computations, order the following from least to greatest. ​ ​

Pete has just made a batch of marshmallow treats. The baking pan measures 13 inches by 10 inches. He has decided that each treat will be inches by 1 inch. Determine how many treats can he get from one pan. Round your answer to the nearest integer. ​

Multiply: ​ 784 × 357 ¯¯¯¯¯¯

Multiply: ​ 5298 × 72 ¯¯¯¯

What is the smallest composite number that is divisible by no prime less than or equal to 19?

To determine whether 719 is a prime number, it suffices to check that no prime number less than ___ is a factor of it.

Find the missing digits. 18 ⋅ ( _ _4 + 29_ ) = 19,080

A computer company has 6,837 copies of a hot-selling program and wants to ship the same number to each of its 21 distributors. Approximately how many programs does each distributor get?

Find the smallest natural number that is divisible by the first 12 natural numbers.

Multiply: 710 × 15 ¯¯¯¯¯¯

Multiply: 187 × 111 ¯¯¯¯¯¯

Find the quotient of 740 and 6 .

Four children want to share 196 jelly beans. How many does each get?

Find a number that when divided by 3 gives a remainder of 0 , when divided by 5 gives a remainder of 2 , and when divided by 7 gives a remainder of 2 .

What is 0.26544 divided by 0.84?

Determine whether the number is prime or composite. 139

Multiply: 2199 × 302 ¯¯¯¯¯¯¯

Divide:

Without doing any computations, order the following from least to greatest.

Pete has just made a batch of marshmallow treats. The baking pan measures 13 inches by 10 inches. He has decided that each treat will be inches by 1 inch. Determine how many treats can he get from one pan. Round your answer to the nearest integer.

Multiply: 784 × 357 ¯¯¯¯¯¯

Multiply: 5298 × 72 ¯¯¯¯