Place Value
Multiply and Divide
Fractions
What's wrong with this answer?
Measurement
100
Which number has a 2 in the tenths place?
A. 0.26
B. 2.09
C. 3.726
D. 425.9
A. 0.26
100
What is the quotient of 2,550 ÷ 25?
A. 100
B. 102
C. 105
D. 120
B. 102
100
Which expression is equivalent to 2⁄4 x 7?
A. 2 x 4 ÷ 7
B. 2 x 7 ÷ 4
C. 2 ÷ 4 ÷ 7
D. 2 x 7 x 4
B. 2 x 7 ÷ 4
100
A company has an annual employee picnic. The company rents buses to transport the employees to the picnic area. There are 1,320 employees. Each bus carries a total of 54 employees. What is the minimum number of buses the company needs to transport all of the employees to the picnic area?
Student answer: 24 buses
The answer is 25 buses. First, you have to divide 1,320 ÷ 54 which gets you 24 with a remainder of 24. There are 24 employees remaining that still need to be transported to the picnic area which means we need to add an extra bus. 24 + 1 =25 buses
100
The first layer of a right rectangular prism is shown below. Each small cube has a volume of 1 cubic unit.
The height of the entire right rectangular prism is 7 unit cubes. What is the volume, in cubic units, of this prism?
A. 15
B. 32
C. 105
D. 90
C. 105
200
What is 83.4278 rounded to the nearest hundredth?
A 83.3
B 83.42
C 83.43
D 83.438
C 83.43
200
A teacher has 55 sheets of stickers with a total of 1,320 stickers. Each sheet has the same number of stickers. How many stickers are on each sheet?
24 stickers
200
A baker has 1/5 of a box of muffin mix. He pours all the muffin mix equally into 3 bowls.
What fraction of the whole box of muffin mix is in each bowl?
A. 1/15
B. 3/5
C. 2 3/5
D. 3 1/5
A. 1/15
200
Rida is walking on a trail that is 2.5 kilometers long. She has walked 0.72 kilometer of the trail so far. How many more kilometers does Rida still need to walk to complete the trail?
Student answer: 3.22 kilometers
The answer is 1.78. The student added instead of subtracting. We need to find the difference, so 2.5- 0.72 =1.78
200
Which shape always has four sides of equal length?
A rectangle
B rhombus
C parallelogram
D trapezoid
B rhombus
300
In which number does the digit 6 represent a value that is one tenth the value represented
by the digit 6 in the number 206.42 ?
A 204.26
B 240.62
C 260.42
D 204.25
B 240.62
300
Which expression is equivalent to 5 x 3/4?
A 5/1 + 3/4
B 5/1 - 3/4
C 3/4 + 3/4 + 3/4 + 3/4 + 3/4
D 3/4 x 3/4 x 3/4 x 3/4 x 3/4
C 3/4 + 3/4 + 3/4 + 3/4 + 3/4
300
Jamie has aquarium rocks that come in bags that weigh 4 2/5 pounds each. She has 3 1/2 bags of rocks. What is the total weight, in pounds, of the aquarium rocks that Jamie has?
A. 1 1/3
B. 15 3/7
C. 15 2/5
D. 15 7/10
C. 15 2/5
300
Saul has $6.00 in quarters. He uses all of the quarters to play video games. If each game requires 3 quarters, what is the total number of video games that Saul plays?
Student answer: 72 video games
The answer is 8 games. First, you have to find out how many quarters are in $6.00. $1.00 is four quarters, so 6 dollars x 4 quarters = 24 quarters. The mistake the student made was that he multiplied 24 quarters x 3 quarters instead of dividing 24 ÷ 3 = 8. You have to divide because we know the total amount of quarters is 24 and each game requires 3 quarters to play. The answer is 8 video games.
300
What measurement for a rectangular prism is equal to the total number of cubes?
A area
B height
C perimeter
D volume
D volume
400
Write a comparison statement using >,<, or = that shows the relationship between the numbers 167.890 and 167.809
Explain how you know your answer is correct.
167.890 > 167.809. The value of this digit in the hundredths place is larger than the digit in 167.890 than 167.809. I need to use the digit in the hundredths place to compare these numbers because they have the same whole numbers and tenths value.
400
Leia has 6 pounds of chocolate that she will put into bags. She puts 1/3 pound of the chocolate into each bag. Into how many bags does Leia put the chocolate?
18 bags
400
Last week, Nancy hiked 7 3/4 miles. This week, she swam 2/3 the distance she hiked last week.
How many miles did Nancy swim this week?
5 2/12 OR 5 1/6 miles
400
What is the value of the expression shown below?
1/2 + 2/3 - 1/4
Student answer: 2/1 = 2
The answer is 11/12. The student did not find a common denominator. 12 is the least common denominator, so 6/12 + 8/12 - 3/12 = 11/12
400
A right rectangular prism is shown below.
The volume of the prism is 126 cubic feet. The height is 3 feet, and the length is 6 feet. What is the width, w, in feet, of the prism?
7 feet
500
A student incorrectly wrote the number three hundred sixty-two and four hundred five thousandths in expanded form as shown below.
( 3 x 100)+ (6 x 10) + (2 x 1) + (4 x 1/10) + (5 x 1/100)
What error did the student make when writing the number in expanded form? Be sure to include the correct number in standard form in your answer.
The standard form is 362.405
The student put the digit 5 in the hundredths place, however the digit 5 should be in the thousandths place.
500
A diagram of a rectangle with dimensions 2 3/4 ft and 1 1/2 ft is shown below.
What is the area, in square feet, of the rectangle?
33/8 OR 4 1/8 ft2
500
A family takes a cake to a party. When the family is ready to leave the party, 3/4 of the cake is left. The family leaves 1/2 of the leftover cake at the party and takes the remaining cake home. What fraction of all of the cake does the family take home?
3/8 of the cake
500
Rosa and Steve each have a baseball card collection. Steve has 1/8 as many baseball cards in his collection as Rosa. Who has more baseball cards? Be sure to include what you know about fractions in your answer.
Student Answer: Rosa has more cards because she's more sigma alpha.
Rosa has more cards in her collection. To find how many cards Steve has in his collection, you would multiply 1/8 by however many cards Rosa has. And when you multiply a whole number by a fraction less than one the product is less than the original whole number.
500
Two right rectangular prisms were combined to make the figure shown below.
What is the total volume, in cubic centimeters, of the figure?
94 cm3