Decimals, and Fractions
Measurement Conversions
The Hierarchy of Shapes
Place Value
Multiply and Divide Fractions
100

Sonya was 40 3/8  inches tall in kindergarten.  She is 60 7/12 inches tall in fifth grade.  About how many inches taller is Sonya in fifth grade than she was in kindergarten?


A    20 inches                                      

B   22 inches

C     101 inches                                     

D  102 inches

A    20 inches                                      

100

Bentley has a dog pen that is 144 inches long.  There are 36 inches in one yard.  How many yards long is Bentley’s pen?

4 yards 

100

Which of the following is an attribute of all rhombuses?

A   two acute angles                              

B   four equal sides

C   four right angles                               

D  no sides with equal length

 

B   four equal sides

100

What is the value of the 1 in both of the numbers?

1.  125.3

2. 213.5

1. 125.3

  • The digit 1 is in the hundreds place.
  • Therefore, its value is 100.

2. 213.5

  • The digit 1 is in the tens place.
  • Therefore, its value is 10.
100

For the April meeting, the math club ordered 5 pizzas. 6 members were in attendance. How much pizza did each member receive?

That's a classic pizza problem! Here's how to figure it out:

  • Total pizza slices: Assuming each pizza was cut into 8 slices (which is pretty common), 5 pizzas would have 5×8=40 slices.
  • Slices per member: To find out how many slices each of the 6 members got, you would divide the total number of slices by the number of members: 40/6.
  • Simplifying the fraction: The fraction 40/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives 1  you 20/3
    • As a mixed number: 20/3 can be expressed as the mixed number 6 2/3.
  • So, each member received 20/3 or 6 2/3 slices of pizza. That's quite a bit of pizza!

200

Alexis drank two bottles of water this morning.  One bottle held 12.5 ounces of water.  The other bottle held 8.75 ounces of water.  She wants to drink at least 32 ounces of water each day.  How many more ounces does Alexis need to drink to make her goal?


A   21.25 ounces                                   

B   11.75 ounces

C   11.2 ounces                                     

D   10.75 ounces


D   10.75 ounces

200

Jacob has served 64 cups of juice for breakfast guests at his restaurant.  One quart is equal to 4 cups.   How many quarts of juice did Jacob serve? 

16 quarts 

200

Which attribute is always an attribute for both rectangles and squares?

A  exactly one pair of opposite parallel sides  

B  exactly 2 equal sides

C  4 equal sides                           

D  4 right angles

D  4 right angles

200

If the 9 in 506,092 is moved two places to the right, how does the value of the 9 change?

A The 9 is 1/100 of its original value.

B The 9 is 1/10 of its original value.

C The 9 has the same value.

D The 9 is 10 times its original value.

A The 9 is 1/100 of its original value.

200

Mr. Clarke has a rope that is 11 inches long that he needs to cut into 6 equal parts to share with the 6 students in his after-school program for a knot-tying project.

What fraction of the rope will each student receive?

That's a thoughtful way for Mr. Clarke to share! He has an 11-inch rope and wants to divide it equally among 6 students.

To find out what fraction of the rope each student will receive, we need to divide the total length of the rope (11 inches) by the number of students (6).

This can be represented as a fraction:

Total length of rope/Number of students=11/6

So, each student will receive 11/6 of the rope.

This fraction is an improper fraction, which means the numerator (11) is larger than the denominator (6). We can also express this as a mixed number if you'd like to know how many whole inches and what fraction of an inch each student gets:

11/6=1 5/6 

This means each student will get 1 whole inch of rope and 5/6 of another inch. 😊

300

Marta drew a rectangular poster.

  • The length of the rectangle was  of a yard.
  • The width of the rectangle was  of a yard.

What was the area of Marta’s rectangle?

 

A     1/2 yard                                          

B    5/12 yard

C    5/7 yard                                            

D   1  yards

A     1/2 yard                                          

300

The kindergarten teachers bought fruit flavored juice boxes for their End-of-Year party.

Each individual juice box contains 225 milliliters of juice.

Each package contains 8 boxes.

There are 1,000 milliliters in 1 liter. 


If the kindergarten teachers bought 5 packages, how many liters of juice did each teacher buy?


A  9 liters                                             

B  90 liters

C  1,800 liters                                       

D  9,000 liters


A  9 liters    

300

Which statement is true?

A   All quadrilaterals have opposite parallel sides.                                          

B   All trapezoids have two obtuse angles.

C   All rectangles have opposite sides that are the same length.                        

D  All hexagons have six sides with equal length

C   All rectangles have opposite sides that are the same length.                        

300

Which equation could be used to represent how the value of 4 changes if it is switched with the 6 in 694,215?

A 400,000 x 10 = 4,000,000 

B 4,000 x 100 = 400,000

C 4,000 x 10 = 40,000 

D 4 x 1,000 = 4,000

B 4,000 x 100 = 400,000

300

There are 36 cans of soup on the shelf. Two-thirds of the soup cans are chicken noodle. How many cans are chicken noodle?

You have 36 cans in total, and we know that 2/3 of them are chicken noodle.

To find out how many cans that is, we need to calculate 2/3 of 36. Here's how you can do it:

First, find 1/3 of 36 by dividing 36 by 3:

36÷3=12

So, 1/3 of the cans is 12 cans.

Since we want to know what 2/3 is, we multiply that result by 2:

12×2=24

Therefore, there are 24 cans of chicken noodle soup on the shelf. 🐔🍜

400

Each month Mizrahi pays $62.74 for unlimited texts and calls.  There is a new wireless company offering monthly plans for $48.50 unlimited texts plus an additional $5.99 for unlimited calls.  If Mizrahi switches plans, how much money would she save each month?


A   $54.49                                           

 B   $18.35

C   $14.24                                            

D   $8.25

D   $8.25

400

.  Adam wanted to play his video games.  His mother told him that he needed to finish his homework, clean out the dishwasher, and clean his room before playing video games.


He completed his homework in 48 minutes.

He took 25 minutes to clean out the dishwasher.

He took 75 minutes to clean his room.


There are 60 minutes in 1 hour.  How much time did Adam have to spend doing homework and cleaning before playing video games?


A   2 hours, 28 minutes                          

B   2 hours, 46 minutes

C   14 hours, 8 minutes                           

D   148 hours


A   2 hours, 28 minutes

400

If a shape was described as having the following attributes what names could be used to identify it:


 Four sides

 Four angles

 Opposite sides parallel

 All side congruent (

  • Line segments: Two line segments are congruent if they have the same length.
  • Angles: Two angles are congruent if they have the same measure (in degrees)) 

What is a rhombus? 

What is a square?

400

A school district wants to buy calculators for all the 8th grade classes in the school

district. If 10 classes in 10 schools receive 10 calculators each, which expression represents the number of calculators the district will buy?


A 10 + 10 + 10 

B 3 x 10

C 10 x 10 x 10 

D 10 + 10 x 10

C 10 x 10 x 10 

400

There are 4 cups of flour on the counter. I need ½ a cup of flour to make a cake. How many cakes can I make with the flour that I have?

To figure out how many cakes you can bake, you need to see how many times 1/2 fits into 4.

You can do this by dividing the total amount of flour by the amount needed for one cake:

4÷1/2

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, which is just 2.

So, the calculation becomes:

4×2=8


You can make 8 cakes with the 4 cups of flour you have. Happy baking! 😊






500

Macy washed her dirty clothes over the weekend. She used 1 1/3 scoops of detergent for her white load and 9/12 of a scoop of detergent for her color load. How much more laundry detergent did she use in the white load?


A  1/12 of a scoop                                     

B  2/12   of a scoop

C  5/12 of a scoop   

D   7/12  of a scoop     


D   7/12  of a scoop     

500

Carolina is making punch for a party.

She made 6 bowls of punch.

Each bowl holds 2 gallons of punch.

1 gallon is equal to 4 quarts.

She thinks each person will drink about 1 quart of punch.  How many people will the 6 bowls of punch serve?

 (THIS IS A 2 STEP PROBLEM) 

A   10                                                   

B   30

C   45                                                   

D   48


D. 48

500

Decide if each statement is true or false. Explain or show your reasoning.

  1. A parallelogram is sometimes a rhombus.
  2. A rhombus is always a parallelogram.
  3. A trapezoid is never a rectangle.
  4. A rectangle is never a square.
  5. A parallelogram is always a trapezoid.
  1. True. Sample response: When the four sides of a parallelogram are equal, then it is a rhombus.
  2. True. Sample response: The opposite sides of a rhombus are always contained in parallel lines.
  3. False. Sample response: A trapezoid can be a rectangle if it has 4 right angles.
  4. False. Sample response: A rectangle is a square when it has 4 equal sides.
  5. True. Sample response: A parallelogram always has 2 pairs of parallel sides and a trapezoid has at least one pair of parallel sides. (Note: this is false if the definition of trapezoid is a quadrilateral with exactly one pair of parallel sides)
500

Lin threw the disc 5.09 meters. Andre threw the disc 5.1 meters. Who threw the disc farther? Explain or show your reasoning.

Andre threw the disc farther. Here's why:

You can compare the distances by looking at the tenths place.

  • Lin's throw: 5.09 meters
  • Andre's throw: 5.1 meters

Since 1 is greater than 0, 5.1 meters is greater than 5.09 meters. Even though 5.09 has more digits, the value in the tenths place is larger for Andre's throw.

500

Mrs. Pate’s 20 students all got A’s on their math test, so she bought chocolate bars to give them as a reward the next day.  During the night, however, Mrs. Pate’s cat chewed up 5 of the bars.  She didn’t have time to go to the store to buy more bars. 

Mrs. Pate put her students into groups of 4.  She gave each group 3 chocolate bars and told them they had to find a way to share the 3 bars equally among 4 students. 

How much of a chocolate bar will each student get?

Since each group of 4 students gets 3 chocolate bars to share equally, we can think of it as dividing 3 by 4.

Mathematically, this can be represented as the fraction 3/4.

Therefore, each student will get 3/4 of a chocolate bar.

M
e
n
u