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Grade 5 Math Common Core Tests

• Question 1

To add the fractions below, Adrian first needs to determine the least common multiple denominators.

$$\large \frac{1}{5}$$ , $$\large \frac{5}{7}$$ , $$\large \frac{9}{10}$$

What is the least common multiple of the denominators? Write your answer below.

• Question 2

The diagram below shows the length of a piece of ribbon.

$$\large \frac{12}{100}$$ meter

Victoria divides the lace into 4 equal pieces. What is the length of each piece of lace.

• $$\large \frac{2}{25}$$ meter
• $$\large \frac{3}{25}$$ meter
• $$\large \frac{12}{25}$$ meter
• $$\large \frac{3}{100}$$ meter
• Question 3

Donna has 8.45 dollars.  She spends 3.75 dollars.  How much money does Donna have left? Write your answer below.

•  $• Question 4 Maria cut out a piece of fabric to use for an art project. The length of the fabric was 9.5 yards. The width of the fabric was 3.6 yards less than the length. What was the width of the fabric? • 5.9 yards • 6.9 yards • 12.1 yards • 13.1 yards • Question 5 Daniel is putting photos into albums. Each album has 24 pages for holding photos, and each page can hold 8 photographs.How many photographs could Daniel put into 3 photo albums? • 192 • 376 • 486 • 576 • Question 6 Emma answered $$\large \frac{3}{5}$$ of the questions on a test correctly. Which of the following is equivalent to $$\large \frac{3}{5}$$ ? • 0.3 • 0.35 • 0.6 • 0.65 • Question 7 Which ordered pairs represent a point where the edges of the two rectangles intersect? Select all the correct answers. • (8,6) • (6,7) • (5,8) • (4,10) • (7,9) • (4,9) • Question 8 To complete a calculation correctly, Mark moves the decimal place of 420.598 two places to the left. 420.598->4.20598 Which of these describes the calculation completed? • Dividing by 10 • Dividing by 100 • Multiplying by 10 • Multiplying by 100 • Question 9 Paula cooked a cake on high for $$\large 1\frac{1}{4}$$ hours. She then cooked it for another $$\large \frac{1}{2}$$ hour on low. How long did she cook the cake for in all? • $$\large1 \frac{1}{2}$$ hours • $$\large 1\frac{3}{4}$$ hours • $$\large 2\frac{1}{4}$$ hours • $$\large 2\frac{1}{2}$$ hours • Question 10 A play sold 224 dollars' worth of tickets. Each ticket cost the same amount. Which of these could be the cost of each ticket? Select all the possible answers. • 6 • 8 • 12 • 14 • 16 • 18 • Question 11 A piece of note paper has side lengths of 12.5 centimeters. What is the area of the piece of note paper? • 144.25 square centimeters • 144.5 square centimeters • 156.25 square centimeters • 156.5 square centimeters • Question 12 Ana drew a quadrilateral on a coordinate grid, as shown below. What are the coordinates of the vertices of the quadrilateral? • Type below: • Question 13 Maria has 12.90 dollars. Dan has 18.50 dollars. What is the total value of their money? Write your answer below. • $
• Question 14

The top of a desk is 4 feet long and 3 feet wide. Harry wants to cover the top of the desk with a vinyl sheet. The vinyl sheet is measured in square inches. What is the area of the vinyl sheet that will cover the top of the desk exactly?

• 12 square inches
• 144 square inches
• 168 square inches
• 1,728 square inches
• Question 15

A block is in the shape of a cube. If the side length is represented by x , which of these could be used to find the volume of the cube?

• 3x
• 6(x2)
• 6x
• x3
• Question 16

Carol made the line plot below to show how long she read for each weekday for 4 weeks. •  hours
• Question 17

The point below is translated 2 units to the left and 3 units down. What are the coordinates of the point after the translation? • (6,3)
• (6,9)
• (10,3)
• (10,9)
• Question 18

The table below shows the total number of pounds of flour in different numbers of bags of flour.

 Numbers of Bags Number of Pounds 3 12 5 20 8 32 9 36

Based on the relationship in the table, how much flour is in each bag? Give your answer in pounds and then ounces.Write your answer below.

•  pounds ounces
• Question 19

The model below is made up of 1-centimeter cubes. Complete the number sentence below to find the volum of the model. •  x x = cm3
• Question 20

Which decimal is plotted on the number line below? • 2.25
• 2.3
• 2.6
• 2,75
• Question 21

Adrian made 16 paper cranes in 15 minutes. If he continues making cranes at this rate , how many cranes would he make in 2 hours?

•  paper cranes
• Question 22

The wingspan of the butterfly is 6.7 centimeters. What is the wingspan of the butterfly in millimeters?

• 0.067
• 0.67
• 67
• 670
• Question 23

Brandon used cubes to make the model showed below. What is the volume of the model? • 15
• 45
• 50
• 75
• Question 24

The pattern below starts at 0 and uses the rule "Add 4."

0,4,8,12,16

A second pattern starts at 2 and uses the rule "Add 4.".How does the fifth term in the second pattern compare to the fifth term in the first pattern?

• It is 2 greater.
• It is 4 greater.
• It is 8 greater.
• It is 10 greater.
• Question 25

The table below shows a set of number pairs.

 x y 2 -2 3 0 4 2

If the points were plotted on a coordinate grid, which of the following would be the coordinates of one of the points?

• (0,2)
• (2,2)
• (4,2)
• (3,4)
• Question 26

The model below is made up of 1-centimeter cubes. Select the correct way to find the volume of the cube , in cubic centimeters. • 3+3+3
• 3X3
• 3x3x3
• 9x6
• Question 27

Daniel is buying baseball cards. Each packet of baseball cards contains 12 baseball cards and costs $3. How many baseball cards can Daniel buy for$15 dollars? Write your answer below.

•  baseball cards
• Question 28

Which point represents the location of the ordered pair (  $$\large 1\frac{1}{4}$$ , $$\large2 \frac{1}{2}$$ )? • Point P
• Point Q
• Point R
• Point S
• Point S
• Question 29

Which terms describes all the shapes shown below? Select all the correct answers. • Parallelogram
• Rectangle
• Rhombus
• Square
• Question 30

The table below shows the total cost of hiring DVDs for different numbers of DVDs.

 Number of DVDs Total Cost, in Dollars 2 6 5 15 6 18 8 24

Which equation could be used to find the total cost in dollars, c , of hiring x DVDs?

• c=x+4
• c=3x
• c=x+3
• c=8x

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