Math Quiz

Evaluate. (NF2) 5 3/4 + 6 2/5 - 2 1/3

• 9 3/4

• 10 1/5

• 9 5/6

• 10 3/4

Answer explanation

To evaluate the expression, first add 5 3/4 and 6 2/5 to get 11 13/20, then subtract 2 1/3 to get 9 5/6.

A builder had a plank that was 15 3/4 feet long. After cutting off a piece for a bookshelf, the remaining plank was 9 1/4 feet long. Which equation could be used to find the length of the piece the builder used for the bookshelf?

• 9 1/4 + [ ] = 15 3/4

• 9 1/4 - [ ] = 15 3/4

• 9 1/4 + [ ] = 15 1/2

• 9 1/4 x [ ] = 15 3/4

Answer explanation

The correct equation to find the length of the piece used for the bookshelf is 9 1/4 + [ ] = 15 3/4, as the builder cut off a piece from the original length.

What is the result of the following operation?

• 3/4 x 20 > 20 because 3/4 > 1

• 3/4 x 20 < 20 because 3/4 < 1

• 3/4 x 20 = 20 because 3/4 = 1

• 3/4 x 20 > 20 because 3/4 < 1

Answer explanation

The correct answer is 3/4 x 20 < 20 because 3/4 is less than 1, so the result is less than 20.

In the town of Riverview, the park and the library are separated by a distance of 3/4 of a mile along Maple Avenue. If there are exactly 6 blocks between the park and the library, what is the length of each block?

• 1/8 mile

• 1/12 mile

• 1/4 mile

• 1/6 mile

Answer explanation

The distance of 1/2 mile divided by 4 blocks gives each block a length of 1/8 mile.

Which situation can be represented by the expression 2/3 x 6?

• Jenny spent 2/3 of an hour reading 6 chapters of a book. If each chapter took the same amount of time to read, how many hours did Jenny spend reading each chapter?

• Tom used 2/3 of a 6-gallon container of paint to paint his room. How many gallons of paint did Tom use?

• Lisa spent a total of 6 hours on her art project. Of that time, she spent 2/3 of an hour sketching the outline and the rest of the time painting. How much time did Lisa spend painting?

• Mark spent 2/3 hour preparing ingredients for a meal, and 6 hours cooking it. What was the total time?

Answer explanation

The correct situation represented by the expression 1/4 x 5 is Mahdi spent 1/4 of an hour writing 5 emails. If each message took the same amount of time to write, the total time spent writing each email is calculated.

Which scenario is accurately represented by the equation 5 + 3/5?

• Ms. Carter painted 5 portraits last week. If each took 1/3 hour, how many hours did she spend painting?

• Ms. Carter spent 1/3 hour painting a portrait. If she spent the same amount of time on each of 5 techniques, how much time did she spend on each technique?

• Ms. Carter spent 5 hours painting portraits last week. If each portrait took 1/3 hour, how many portraits did she paint?

• Ms. Carter spent 5 hours painting portraits last week. If she spent 1/3 of the time on a single large piece, how much time did she dedicate to it?

Answer explanation

The expression 7 + 4/7 represents the number of drum lessons Mr. Lee gave, so the best modeled problem is: Mr. Lee spent 7 hours giving drum lessons yesterday. If each lesson lasted 1/4 hour, how many lesson did he give?

A square garden plot is 4 times as large in area as a rectangular flower bed that is 2 meters wide and 5 meters long. What is the side length of the square garden plot?

• 4 meters

• 8 meters

• 10 meters

• 20 meters

Answer explanation

Since the tile is 2.5 times as tall as it is wide, and the width is 3 cm, the height is 2.5 * 3 = 7.5 cm. Therefore, the correct width is 7.5 cm.

What is the result of 15 ÷ 5? (NF3)

• 3/5

• 5/15

• 3

• 5/3

Answer explanation

The fraction 10 ÷ 17 can be written as 10/17, so the correct choice is 10/17.

Emily has a 12-cup bag of sugar. She wants to know how many scoops she can get if she uses a scoop that holds 1/3 cup of sugar. Which expression should she use to calculate this? (NF7b)

• 12 + 1/3

• 12 - 1/3

• 1/3 + 12

• 12 ÷ 1/3

Answer explanation

The correct expression to find the number of 1/4 cup scoops from 10 cups of flour is 10 ÷ 1/4, which represents dividing the total cups of flour by the size of each scoop.

What is the sum of 3 3/4 and 2 1/3, minus 2 2/5? (NF1)

• 3 11/20

• 3 2/3

• 3 7/12

• 4 1/15

Answer explanation

The sum of 4 2/3 and 5 2/5 is 9 5/15. Subtracting 1 1/2 from this gives 8 17/30, which is the correct answer.