5th Grade Math Review

5th Grade Math Review

EMIS 5th Grade Math

Fraction as Division

Share Cowboy

--------- = -------------

Who? Horse

NC.5.NF.3

Multiple Choice

Ms. Lake collected 12 boxes of markers for her school. There are 10 art classes on campus. How many boxes should each class receive if the boxes are divided equally?

• $$\frac{10}{12}$$

• $$1\ \frac{2}{10}$$

• $$1\ \frac{10}{12}$$

• $$12\ \frac{1}{10}$$

Multiple Choice

Joe buys 3 yards of fabric. Each rectangle in the diagram represents one yard. Joe cuts the fabric into 8 equal pieces. How many yards long is each piece?

• $$\frac{3}{8}$$

• $$\frac{3}{3}$$

• $$1\frac{3}{8}$$

• $$2\ \frac{2}{3}$$

Multiple Choice

Mrs. Garrett orders 14 boxes of pens. There are 3 fifth grade classes that will equally share the pens. The number of boxes each class will receive lies between which two whole numbers?

• between 0 and 1

• between 2 and 3

• between 3 and 4

• between 4 and 5

Fill in the Blank

Micah and his 3 friends harvested lemons on Saturday. Altogether, they harvested 36 pounds of lemons. The group shared the lemons equally. How many pounds of lemons did each person take home?

Dividing Whole Numbers and Unit Fractions

NC.5.NF.7

Whole Number ÷ Unit Fraction = Whole Number

Unit Fraction ÷ Whole Number = Unit Fraction

Share ÷ Who?

Multiple Choice

Franci drew a model to illustrate an expression and find its value. Which equation correctly matches Franci's model?

• $$\frac{1}{6}\div4=\frac{1}{24}$$

• $$24\times\frac{1}{6}=\frac{1}{4}$$

• $$\frac{1}{6}\times4=\frac{2}{3}$$

• $$4\div\frac{1}{6}=24$$

Multiple Choice

A gardener divided 4 gallons of liquid plant food equally into jars. Each jar contained 1/2 gallon of plant food. How many jars did the gardener use?

• 1/8

• 2

• 6

• 8

Fill in the Blank

Destiny put 1/3 of a leftover pizza into the microwave. She and her 2 brothers shared the pizza equally. What fraction of a whole pizza did Destiny receive?

Multiple Choice

At the bakery, one dozen (12) equal-sized muffins contain a total of 1/2 cup of sugar. How much sugar does each muffin contain?

• 24 cups

• 1/6 cup

• 1/12 cup

• 1/24 cup

Multiplying Whole Numbers, Fractions, and Mixed Numbers

NC.5.NF.4

Change Whole Numbers into Fractions

Change Mixed Numbers into Improper Fractions

Then Multiply Numerators Straight Across and Denominators Straight Across

If you number is an improper fraction, change it to a mixed number.

Multiple Choice

Crissy buys 5 bags of tomatoes. Each bag weighs $$\frac{2}{3}$$ pound. The shaded models represent the weight of the bags. Which equation shows how many pounds of tomatoes Crissy buys?

• $$5\times\frac{2}{3}$$

• $$5+\frac{2}{3}$$

• $$5\div\frac{2}{3}$$

• $$5-\frac{2}{3}$$

Multiple Choice

Crissy buys 5 bags of tomatoes. Each bag weighs $$\frac{2}{3}$$ pound. The shaded models represent the weight of the bags. How many pounds of tomatoes did Crissy buy?

• $$5\ \frac{2}{3}$$

• 3

• $$3\ \frac{1}{3}$$

• $$2\ \frac{1}{3}$$

Multiple Choice

Beverly has two strips of ribbon that are each $$1\ \frac{3}{4}$$ yards long. Beverly record the expression $$2\times1\frac{3}{4}$$ to represent the total length of both strips. She draws this number line to show the product. What is the total length of the strips of ribbon?

• $$2\ \frac{1}{2}$$

• $$2\ \frac{3}{4}$$

• $$3\ \frac{1}{4}$$

• $$3\ \frac{1}{2}$$

Fill in the Blank

The distance between Karla’s house and her friend’s house is 1/2 mile. Karla runs 1/2 of this distance and walks the rest of the way. How many miles does Karla run?

Line Graphs

​NC.5.MD.2

X-Axis

Y-Axis

Origin

Multiple Choice

Carmen’s brother, Miguel, is knitting a scarf for their grandfather. He uses a line graph to show the length of his scarf after 1, 2, 3, and 4 hours of knitting.

• The graph shows categorical data.

• Miguel knits slower than his sister.

• The graph shows data that changes over time.

• Miguel knits faster than his sister.

Multiple Choice

How many hours does it take Miguel to knit a 16 inch scarf?

• 1

• 2

• 3

• 4

Multiple Choice

Which is an example of a question that yields categorical data?

• How many feet can each athlete jump in a forward jump contest?

• How many days were you absent from school last year?

• What color is your car?

• How tall are you in centimeters?

Multiple Choice

Which is an example of a question that yields numerical data?

• What is your favorite day of the week?

• How much does your dog weigh?

• What is the best ice cream flavor?

• What is the title of the last movie you watched?

Order of Operations

NC.5.OA.2

PEMDAS --> Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction

GEMS --> Grouping Symbols, Exponents, Multiplication/Division, Subtraction/Addition

Multiple Choice

Karl, Liam, and Maggie each collect rocks. Karl has 144 rocks. Karl has twice as many rocks as Liam. Maggie has 3 times as many rocks as Liam. Which describes a process for determining how many rocks Maggie has?

• Find the product of 144 and 2. Then multiply by 3.

• Find the quotient of 144 and 2. Then multiply by 3.

• Find the product of 144 and 3. Then divide by 2.

• Find the quotient of 144 and 3. Then divide by 2.

Multiple Choice

Which expression has the same value as 13 + 8?

• (13 x 4) + (13 x 2)

• 8 + 8 + 5

• 15 - (2 + 8)

• 4 + 13 + 2

Multiple Choice

Liz writes the expression shown: 15 x 4 x 2

Which is not equivalent to the expression Liz writes?

• 30 x 4

• (15 x 4) + (15 x 2)

• 8 x 15

• 120

Multiple Choice

Which property represents:

836 + 494 = 494 + 836

• communtative

• associative

• identity

• distributive