Full Length STAAR Grade 5 Practice Test

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STAAR Practice Test 1 State of Texas Assessments of Academic Readiness Grade 5 Mathematics 2019
1-	In a bag, there are $65$ cards. Of these cards, $13$ cards are white. What fraction of the cards are white?
(A)	$\frac{1}{5}$
(B)	$\frac{2}{7}$
(C)	$\frac{13}{52}$
(D)	$\frac{1}{4}$
2-	Which expression is equal to $\frac{3}{11}$?
(A)	$3 \ – \ 11$
(B)	$3 \div 11$
(C)	$3 \times 11$
(D)	$\frac{11}{3}$
3-	If $A = 20$, then which of the following equations are correct?
(A)	$A \ + \ 20 = 40$
(B)	$A \div 20 = 40$
(C)	$20 \times A = 40$
(D)	$20 \ - \ A = 40$
4-	How long does a $425$–miles trip take moving at $50$ miles per hour (mph)?
(A)	$4$ hours
(B)	$6$ hours and $24$ minutes
(C)	$8$ hours and $24$ minutes
(D)	$8$ hours and $30$ minutes
5-	$50$ is What percent of $40$?
(A)	$20\%$
(B)	$25\%$
(C)	$125\%$
(D)	$150\%$
6-	The perimeter of the trapezoid below is $52$. What is its area?
(A)	104
(B)	104
(C)	104.0
(D)	104.00
7-	The area of a circle is $64 \ π$. What is the circumference of the circle?
(A)	$8 \ π$
(B)	$16 \ π$
(C)	$32 \ π$
(D)	$64 \ π$
8-	A rope weighs $800$ grams per meter of length. What is the weight in kilograms of $12.2$ meters of this rope? ($1$ kilograms $= 1000$ grams)
(A)	$0.0976$
(B)	$0.976$
(C)	$9.76$
(D)	$9,760$
9-	Solve. $\frac{1}{2} \ + \ \frac{4}{5} \ – \ \frac{3}{10} =$
(A)	$\frac{9}{10}$
(B)	$\frac{2}{10}$
(C)	$1$
(D)	$2$
10-	How many $\frac{1}{4}$ cup servings are in a package of cheese that contains $6 \ \frac{1}{2}$ cups altogether?
(A)	26
(B)	26
(C)	26.0
(D)	26.00
11-	With what number must $5.674321$ be multiplied in order to obtain the number $56,743.21$?
(A)	$100$
(B)	$1,000$
(C)	$10,000$
(D)	$100,000$
12-	Lily and Ella are in a pancake–eating contest. Lily can eat two pancakes per minute, while Ella can eat $2 \ \frac{1}{2}$ pancakes per minute. How many total pancakes can they eat in $5$ minutes?
(A)	$9.5$ Pancakes
(B)	$29.5$ Pancakes
(C)	$22.5$ Pancakes
(D)	$11.5$ Pancakes
13-	The distance between cities A and B is approximately $2,600$ miles. If Alice drive an average of $68$ miles per hour, how many hours will it take Alice to drive from city A to city B?
(A)	Approximately $41$ Hours
(B)	Approximately $38$ Hours
(C)	Approximately $29$ Hours
(D)	Approximately $27$ Hours
14-	$12$ yards $4$ feet and $2$ inches equals to how many inches?
(A)	$96$ inches
(B)	$432$ inches
(C)	$482$ inches
(D)	$578$ inches
15-	Which expression has a value of $– \ 8$?
(A)	$8 \ – \ (– \ 2) \ + \ (– \ 18)$
(B)	$2 \ + \ (– \ 3) \ × \ (– \ 2)$
(C)	$– \ 6 \ × \ (– \ 6) \ + \ (– \ 2) \ × \ (– \ 12)$
(D)	$(– \ 2) \ × \ (– \ 7) \ + \ 4$
16-	The drivers at G & G trucking must report the mileage on their trucks each week. The mileage reading of Ed’s vehicle was $40,907$ at the beginning of one week, and $41,053$ at the end of the same week. What was the total number of miles driven by Ed that week?
(A)	$46$ MILES
(B)	$145$ MILES
(C)	$146$ MILES
(D)	$1,046$ MILES
17-	Solve. $\frac{5}{8} \ × \ \frac{4}{5} = $
(A)	$\frac{1}{2}$
(B)	$\frac{10}{40}$
(C)	$\frac{20}{60}$
(D)	$\frac{1}{4}$
18-	A cereal box has a height of $28$ centimeters. The area of the base is $120$ centimeters. What is the volume of the cereal box?
(A)	3,360
(B)	3360
(C)	3360
(D)	3360.0
19-	Nancy ordered $18$ pizzas. Each pizza has $8$ slices. How many slices of pizza did Nancy ordered?
(A)	$124$
(B)	$144$
(C)	$156$
(D)	$180$
20-	The length of a rectangle is $\frac{3}{4}$ of inches and the width of the rectangle is $\frac{5}{6}$ of inches. What is the area of that rectangle?
(A)	$\frac{1}{2}$ in$^2$
(B)	$\frac{5}{8}$ in$^2$
(C)	$\frac{20}{24}$ in$^2$
(D)	$\frac{5}{24}$ in$^2$
21-	What is the volume of this box?
(A)	$24$ CM$^3$
(B)	$32$ CM$^3$
(C)	$162$ CM$^3$
(D)	$192$ CM$^3$
22-	How many square feet of tile is needed for a $18$ feet to $18$ feet room?
(A)	$72$ Square Feet
(B)	$108$ Square Feet
(C)	$216$ Square Feet
(D)	$324$ Square Feet
23-	Of the $2,400$ videos available for rent at a certain video store, $600$ are comedies. What percent of the videos are comedies?
(A)	$18 \ \frac{1}{2} \%$
(B)	$20\%$
(C)	$22\%$
(D)	$25\%$
24-	How many $3 \ × \ 3$ squares can fit inside a rectangle with a height of 54 and width of $12$?
(A)	$72$
(B)	$62$
(C)	$50$
(D)	$44$
25-	ABC Corporation earned only $$200,000$ during the previous year, two–third only of the management’s predicted income. How much earning did the management predict?
(A)	$$20,000$
(B)	$$30,000$
(C)	$$300,000$
(D)	$$340,000$
26-	William keeps track of the length of each fish that he catches. Following are the lengths in inches of the fish that he caught one day: $13, 14, 9, 11, 9, 10, 18$ What is the median fish length that William caught that day?
(A)	$11$ Inches
(B)	$9$ Inches
(C)	$12$ Inches
(D)	$13$ Inches
27-	$9 \ + \ \left[ \ 8 \ × \ 5 \ \right] \ ÷ \ 2 =$ ?
(A)	29
(B)	29
(C)	29.0
28-	What is the median of these numbers? $4, \ 9, \ 13, \ 8, \ 15, \ 18, \ 5$
(A)	$8$
(B)	$9$
(C)	$13$
(D)	$15$
29-	The area of the base of the following cylinder is $50$ square inches and its height is $10$ inches. What is the volume of the cylinder?
(A)	500
(B)	500
(C)	500.0
30-	A rope $13$ yards long is cut into $4$ equal parts. Which expression does NOT equal to the length of each part?
(A)	$13 \ ÷ \ 4$
(B)	$\frac{13}{4}$
(C)	$4 \ ÷ \ 13$
(D)	$\require{enclose} $ $ 4 \enclose {longdiv}{13} $
31-	Calculate the area of the trapezoid in the following figure.
(A)	$4.5 $ ft$^2$
(B)	$6.5 $ ft$^2$
(C)	$13 $ ft$^2$
(D)	$26$ ft$^2$
32-	Camille uses a $30\%$ off coupon when buying a sweater that costs $$50$. How much does she pay?
(A)	$$35$
(B)	$$40$
(C)	$$42.50$
(D)	$$45$
33-	A baker uses $4$ eggs to bake a cake. How many cakes will he be able to bake with $188$ eggs?
(A)	$46$
(B)	$47$
(C)	$48$
(D)	$49$
34-	Which of the following angles is obtuse?
(A)	$20$ Degrees
(B)	$40$ Degrees
(C)	$89$ Degrees
(D)	$110$ Degrees
35-	Which of the following fractions is the largest?
(A)	$\frac{5}{8}$
(B)	$\frac{3}{7}$
(C)	$\frac{8}{9}$
(D)	$\frac{5}{11}$
36-	The area of a rectangle is $D$ square feet and its length is $9$ feet. Which equation represents $W$, the width of the rectangle in feet?
(A)	$W=\frac{D}{9}$
(B)	$W=\frac{9}{D}$
(C)	$W=9 \ D$
(D)	$W=9 \ + \ D$
37-	Which list shows the fractions in order from least to greatest? $\frac{2}{3}, \frac{5}{7}, \frac{3}{10}, \frac{1}{2}, \frac{6}{13}$
(A)	$\frac{2}{3}, \frac{5}{7}, \frac{3}{10}, \frac{1}{2}, \frac{6}{13}$
(B)	$\frac{6}{13}, \frac{1}{2}, \frac{2}{3}, \frac{5}{7}, \frac{3}{10}$
(C)	$\frac{3}{10}, \frac{2}{3}, \frac{5}{7}, \frac{1}{2}, \frac{6}{13}$
(D)	$\frac{3}{10}, \frac{6}{13}, \frac{1}{2}, \frac{2}{3}, \frac{5}{7}$
38-	Which statement about $5$ multiplied by $\frac{2}{3}$ is true?
(A)	The product is between $2$ and $3$
(B)	The product is between $3$ and $4$
(C)	The product is more than $\frac{11}{3}$
(D)	The product is between $\frac{14}{3}$ and $5$
39-	What is the volume of this box?
(A)	$30$ CM$^3$
(B)	$42$ CM$^3$
(C)	$35$ CM$^3$
(D)	$210$ CM$^3$
40-	A shirt costing $$200$ is discounted $15\%$. Which of the following expressions can be used to find the selling price of the shirt?
(A)	$(200) \ (0.70)$
(B)	$(200) \ – \ 200 \ (0.30)$
(C)	$(200) \ (0.15) \ – \ (200) \ (0.15)$
(D)	$(200) \ (0.85)$

STAAR Grade 5 Practice Test Answers and Explanations

1- Choice A is correct

The correct answer is $\frac{1}{5}$
There are $65$ cards in the bag and $13$ of them are white. Then, $13$ out of $65$ cards are white. You can write this as: $\frac{13}{65}$. To simplify this fraction, divide both numerator and denominator by $13$. Then:
$\frac{13}{65}=\frac{1}{5}$

2- Choice B is correct

The correct answer is $3 \ ÷ \ 11$
$\frac{3}{11}$ means $3$ is divided by $11$.
The fraction line simply means division or $÷$.
Therefore, we can write $\frac{3}{11}$ as $3 \ ÷ \ 11$.

3- Choice A is correct

The correct answer is $A \ + \ 20=40$
Plug in $20$ for $A$ in the equations.
Only option $A$ works.
$A \ + \ 20=40$
$20 \ + \ 20=40$

4- Choice D is correct

The correct answer is $8$ hours and $30$ minutes
$50$ miles : $1$ hour
$425$ miles : $425 \ ÷ \ 50 = 8.5$ hours

5- Choice C is correct

The correct answer is $125\%$
Use percent formula:
part $= \frac{percent}{100} \ ×$ whole
$50 = \frac{percent}{100} \ × 40 ⇒$
$50 = \frac{percent \ × \ 40}{100} ⇒$
$50 =\frac{percent \ × \ 4}{10}$, multiply both sides by $10$.
$500 =$ percent $× \ 4$, divide both sides by $4$.
$125 =$ percent

6- Choice D is correct

The correct answer is $104$
First, find the missing side of the trapezoid.
The perimeter of the trapezoid below is $52$.
Therefore, the missing side of the trapezoid (its height) is:
$52 \ - \ 12 \ - \ 18 \ - \ 14=52 \ - \ 44=8$
Area of a trapezoid:
A $= \frac{1}{2} \ h (b_{1} \ + \ b_{2}) = \frac{1}{2} \ (8) \ (12 \ + \ 14) = 104$

7- Choice B is correct

The correct answer is $16 \ π$
Use area and circumference of circle formula.
Area of a circle $= π \ r^2 ⇒$
$64 \ π = π \ r^2 ⇒ r= 8$
Circumference of a circle $= 2 \ π \ r ⇒$
C $= 2 \ × \ 8 \ × \ π ⇒$
C $=16 \ π$

8- Choice C is correct

The correct answer is $9.76$
$1$ meter of the rope $= 800$ grams
$12.2$ meter of the rope $= 12.2 \ × \ 800 =9,760$ grams $= 9.76$ kilograms

9- Choice C is correct

The correct answer is $1$
$\frac{1}{2} \ + \ \frac{4}{5} \ – \ \frac{3}{10} = \frac{(5 \ × \ 1) \ + \ (2 \ × \ 4) \ - \ (1 \ × \ 3)}{10} = \frac{10}{10} = 1$

10- Choice D is correct

The correct answer is $26$
To solve this problem, divide $6 \ \frac{1}{2}$ by $\frac{1}{4}$.
$6 \ \frac{1}{2} \ ÷ \ \frac{1}{4}=\frac{13}{2} \ ÷ \ \frac{1}{4}=\frac{13}{2} \ × \ \frac{4}{1}=26$

11- Choice C is correct

The correct answer is $10,000$
The question is that number $56,743.21$ is how many times of number $5.674321$.

12- Choice C is correct

The correct answer is $22.5$
Lily eats $2$ pancakes in $1$ minute $⇒$
Lily eats $2 \ × \ 5$ pancakes in $5$ minutes.
Ella eats $2 \ \frac{1}{2}$ pancakes in $1$ minute $⇒$
Ella eats $2 \ \frac{1}{2} \ × \ 5$ pancakes in $5$ minutes.
In total Lily and Ella eat $10 \ + \ 12.5$ pancakes in $5$ minutes.

13- Choice B is correct

The correct answer is Approximately $38$ hours.
Alice drives $68$ miles in one hour.
Therefore, she drives $2600$ miles in about $(2600 \ ÷ \ 68) 38$ hours.

14- Choice C is correct

The correct answer is $482$ inches
$12$ yards $= 12 \ × \ 36 = 432$ inches
$4$ feet $= 4 \ × \ 12 = 48$ inches
$12$ yards $4$ feet and $2$ inches $= 432$ inches $+ \ 48$ inches $+ \ 2$ inches $= 482$ inches

15- Choice A is correct

The correct answer is $8 \ – \ (– \ 2) \ + \ (– \ 18)$
Simplify each option provided using order of operations rules.
A. $8 \ – \ (– \ 2) \ + \ (– \ 18)=8 \ + \ 2 \ - \ 18=- \ 8$
B. $2 \ + \ (– \ 3) \ × \ (– \ 2)=2 \ + \ 6=8$
C. $– \ 6 \ × \ (– \ 6) \ + \ (– \ 2) \ × \ (– \ 12)=36 \ + \ 24=60$
D. $(– \ 2) \ × \ (– \ 7) \ + \ 4=14 \ + \ 4=18$
Only option A is $- \ 8$.

16- Choice C is correct

The correct answer is $146$ miles
To find the answer, subtract $40,907$ from $41,053$.
$41,053 \ - \ 40,907=146$ miles

17- Choice A is correct

The correct answer is $\frac{1}{2}$
$\frac{5}{8} \ × \ \frac{ 4}{5}=\frac{5 \ × \ 4}{8 \ × \ 5}=\frac{20}{40}=\frac{1}{2}$

18- Choice D is correct

The correct answer is $3,360$
Use volume of cube formula.
Volume $=$ base $×$ height $⇒$ V $= 120 \ × \ 28 ⇒$ V $=3,360$

19- Choice B is correct

The correct answer is $144$
$1$ pizza has $8$ slices.
$18$ pizzas contain $(18 \ × \ 8) \ 144$ slices.

20- Choice B is correct

The correct answer is $\frac{5}{8}$ in$^2$
Use area of rectangle formula.
Area $=$ length $×$ width $⇒$
A $=\frac{3}{4} \ × \ \frac{5}{6} ⇒$
A $=\frac{5}{8}$ in$^2$

21- Choice D is correct

The correct answer is $192$ cm$^3$
Use volume of cube formula.
Voluem $=$ length $×$ width $×$ height $⇒$
V $= 6 \ × \ 4 \ ×\ 8 ⇒$
V $=192$ cm$^3$

22- Choice D is correct

The correct answer is $324$ square feet
Find the area of the room which is a square.
Use area of square formula.
$S =a^2 ⇒$
$S = 18$ feet $× \ 18$ feet $= 324$ square feet

23- Choice D is correct

The correct answer is $25\%$
Use percent formula:
part $= \frac{percent}{100} \ ×$ whole
$600 = \frac{percent}{100} \ × \ 2400 ⇒$
$600 =$ percent $× \ 24 ⇒$
percent $=25$

24- Choice A is correct

The correct answer is $72$
Use area of 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.
$648 \ ÷ \ 9 = 72$

25- Choice C is correct

The correct answer is $$300,000$
ABC Corporation's income $= \frac{2}{3}$ management’s predicted income.
$$200,000 = \frac{2}{3}$ management’s predicted income
management’s predicted income $= $200,000 \ × \ \frac{2}{3}=$300,000$

26- Choice A is correct

The correct answer is $11$
Write the numbers in order:
$9, \ 9, \ 10, \ 11, \ 13, \ 14, \ 18$
Median is the number in the middle.
Therefore, the median is $11$.

27- Choice C is correct

The correct answer is $29$
Use PEMDAS (order of operation):
$9 \ + \ \left[ \ 8 \ × \ 5 \ \right] \ ÷ \ 2 = 9 \ + \ (40) \ ÷ \ 2 = 9 \ + \ (40 \ ÷ \ 2) = 29$

28- Choice B is correct

The correct answer is $9$
Write the numbers in order:
$4, \ 5, \ 8, \ 9, \ 13, \ 15, \ 18$
Median is the number in the middle.
Therefore, the median is $9$.

29- Choice C is correct

The correct answer is $500$
Use volume of cylinder formula.
Voluem $=$ base $×$ heigth $⇒ V=50 \ × \ 10 ⇒ V=500$

30- Choice C is correct

The correct answer is $4 \div 13$
13 yards 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 $13$)

31- Choice B is correct

The correct answer is $6.5$ ft$^2$
Use area of trapezoid formula.
Area of trapezoid $= \frac{1}{2} \ ×$ heigth $× ($base $1 \ +$ base $2) ⇒$
$\frac{1}{2} \ × \ 2 \ × \ (2 \ + \ 4.5)=6.5$ ft$^2$

32- Choice A is correct

The correct answer is $$35$
Let $x$ be the new price after discount.
$x = 50 \ × (100 \ - \ 30)\%=50 \ × \ 70\%=50 \ × \ 0.70=35$
$x = $35$

33- Choice B is correct

The correct answer is $47$
$4$ eggs for $1$ cake.
Therefore, $188$ eggs can be used for $(188 \ ÷ \ 4) \ 47$ cakes.

34- Choice D is correct

The correct answer is $110$ Degrees
An obtuse angle is any angle larger than $90$ degrees.
From the options provided, only D ($110$ degrees) is larger than $90$.

35- Choice C is correct

The correct answer is $\frac{8}{9}$
Compare the fractions.
$\frac{5}{8} \ > \ \frac{3}{7}$
And $\frac{8}{9} \ > \ \frac{5}{11}$
$\frac{8}{9} \ > \ \frac{5}{8}$
Therefore, $\frac{8}{9}$ is the biggest fraction.

36- Choice A is correct

The correct answer is $W= \frac{D}{9}$
Use area of rectangle formula.
area of a rectangle $=$ width $×$ length $⇒ D=w \ × \ l ⇒$
$w=\frac{D}{l}= \frac{D}{9}$

37- Choice D is correct

The correct answer is $\frac{3}{10}, \frac{6}{13}, \frac{1}{2}, \frac{2}{3}, \frac{5}{7}$
To list the fractions from least to greatest, you can convert the fractions to decimal.
$\frac{2}{3} = 0.67$
$\frac{5}{7} = 0.71$
$\frac{3}{10} = 0.3$
$\frac{1}{2} = 0.5$
$\frac{6}{13} = 0.46$
$\frac{3}{10} = 0.3, \ \frac{6}{13} = 0.46, \ \frac{1}{2} = 0.5, \ \frac{2}{3} = 0.67, \ \frac{5}{7} = 0.71$
Option D shows the fractions in order from least to greatest.

38- Choice B is correct

The correct answer is The product is between $3$ and $4$
$5$ multiplied by $\frac{2}{3} = \frac{10}{3} = 3.33$, therefore, only choice B is correct.

39- Choice D is correct

The correct answer is The product is $210$ CM$^3$
Use volume of rectangle formula.
Volume of a rectangle $=$ width $×$ length $×$ heigth $⇒ V=5 \ × \ 6 \ × \ 7 ⇒ V=210$

40- Choice D is correct

The correct answer is The product is $ (200) \ (0.85)$
To find the selling price, multiply the price by $(100\% –$ rate of discount).
Then: $(200) \ (100\% \ – \ 15\%) = (200) \ (0.85) = 170$
$(200) \ (100\% \ – \ 15\%) = (200) \ (0.85) = 170$

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Full Length STAAR Grade 5 Practice Test