5th Grade PSSA Math Practice Test Questions
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e is needed for 18 feet to 18 feet room?
A. 72 Square Feet
B. 108 Square Feet
C. 216 Square Feet
D. 324 Square Feet
3- Of the 2,400 videos available for rent at a certain video store, 600 are comedies. What percent of the videos are comedies?
A. \(18 ½ \%\)
B. \(20 \%\)
C. \(22 \%\)
D. \(25 \%\)
4- How many \(3 × 3\) squares can fit inside a rectangle with a height of 54 and a width of 12?
A. 72
B. 62
C. 50
D. 44
5- ABC Corporation earned only $200,000 during the previous year, two-thirds only of the management’s predicted income. How much earning did the management predict?
A. $20,000
B. $30,000
C. $300,000
D. $340,000
6- William keeps track of the length of each fish that he catches. Following are the lengths in inches of the fish that he caught one day:\( 13, 14, 9, 11, 9, 10, 18\)
What is the median fish length that William caught that day?
A. 11 Inches
B. 9 Inches
C. 12 Inches
D. 13 Inches
7- \(9 + [8 × 5] ÷ 2 =\) ? __________
8- What is the median of these numbers? \(4, 9, 13, 8, 15, 18, 5\)
A. 8
B. 9
C. 13
D. 15
9-The area of the base of the following cylinder is 50 square inches and its height is 10 inches. What is the volume of the cylinder? __________
10- A rope 13 yards long is cut into 4 equal parts. Which expression does NOT equal to the length of each part?
A. \(13 ÷ 4\)
B. \(\frac{13}{4}\)
C. \(4 ÷ 13\)
D. \(4\sqrt{13}\)
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Common Core Math Exercise Book for Grade 5 Student Workbook and Two Realistic Common Core Math Tests
Answers:
1- D
Use the volume of a cube formula.
\(Voluem= length × width × height ⇒ V= 6 × 4 × 8 ⇒ V=192 \space cm^3\)
2- D
Find the area of the room, which is a square. Use the area of a square formula.
\(S= a^2 ⇒ S= 18\) feet \(× 18\) feet \(= 324\) square feet
3- D
Use the percent formula:
\(part =\frac{percent}{100}× whole\)
\(600 =\frac{percent}{100}× 2400⇒ 600= percent × 24 ⇒percent=25 \)
4- A
Use the area of a rectangle formula.
\(A= a × b ⇒ A= 54 × 12 ⇒ A= 648\)
Divide the area by 9 (\(3 × 3 = 9\) squares) to find the number of squares needed. \(648 ÷ 9 = 72\)
5- C
ABC Corporation’s income = \(\frac{2}{3}\) management’s predicted income.
\($200,000 = \frac{2}{3}\) management’s predicted income
management’s predicted income \(= $200,000×\frac{3}{2} =$300,000\)
6- A
Write the numbers in order:
\(9, 9, 10, 11, 13, 14, 18\)
Median is the number in the middle. Therefore, the median is 11.
7- 29
Use PEMDAS (order of operation):
\(9 + [8 × 5] ÷ 2 = 9 + (40) ÷ 2 = 9 + (40 ÷ 2) = 29\)
8- B
Write the numbers in order:
\(4, 5, 8, 9, 13, 15, 18\)
Median is the number in the middle. Therefore, the median is 9.
9- 500
Use the volume of a cylinder formula.
\(Voluem= base × height ⇒ V=50 × 10 ⇒ V=500\)
10- C
13 yards 13-yard-long rope is cut into 4 equal parts. Therefore, 13 should be divided by 4. Only option C is NOT 13 divided by 4. (It is 4 divided by 13)
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