# Free STAAR Grade 5 Mathematics Practice Test Questions

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1. A rectangular plot in a garden is three times longer than it is wide. What is the perimeter of the garden if it has a width of 8 meters?
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a. 32 meters

b. 192 meters

c. 24 meters

d. 64 meters

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2. A recipe calls for 3 ¾ cups of flour. Which fraction below is equivalent to this amount?
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a. ^{5} / _{2}

b. ^{15} / _{4}

c. ^{3} / _{2}

d. ^{9} / _{4}

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3. A bag full of C cookies is equally distributed among S students. Which expression correctly determines the number of cookies each student receives?
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a. *C*÷*S*

b. *C* x *S*

c. *C* - *S*

d. *S* x *C*

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4. A candy company makes gumdrops in packages of 4, packages of 10, and packages of 12. Which quantity of gumdrops is the smallest amount that can be purchased using any 1 of the three sized packages?
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a. 60

b. 24

c. 120

d. 480

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5. A fish tank is a rectangular prism with a length of 7 inches and a width of 5 inches and can hold a volume of 210 cubic inches of water. What is the height of the tank?
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a. 6 inches

b. 5 inches

c. 17.5 inches

d. 10 inches

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6. Which one of the numbers below is a prime?
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a. 34

b. 57

c. 91

d. 83

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7. Two sisters were arguing who could have a larger piece of pie. Their mother told the older daughter she could have 2/5 of the pie. She told the younger daughter she could have 1/3 of the pie. Which daughter received a larger piece of pie?
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a. The older daughter.

b. The younger daughter

c. Same size piece for each daughter

d. Not enough information to determine

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8. A grocery store determines the price of a gallon milk, P, in dollars will be determined by multiplying the wholesale price, W, in dollars by 1.5 and adding 25 cents. Which expression below represents this relationship?
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a. *P* = 1.5 +*W* + 0.25

b. *P* = 0.25*W* + 1.5

c. *P* = 1.75*W*

d. *P* = 1.5*W* + 0.25

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9. Mandy's Farmer's Market sells pears in boxes of 18. A shipment of 417 pears arrives that morning. How many full boxes of pears can Mandy sell using that shipment?
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a. 25

b. 23

c. 18

d. 20

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10. What is 0.28 x 0.17?
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a. 0.2260

b. 0.4760

c. 0.0226

d. 0.0476

## Grade 5 Mathematics Answer Key

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1. Answer: D
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The perimeter of a rectangle is the formula

*P*=2

*L*+2

*W*which produces 2(24)+2(8)=48+16=64 m .

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2. Answer: B
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The value of 3 is equivalent to

^{12}/

_{4}. Therefore, 3

^{3}/

_{4}=

^{12}/

_{4}+

^{3}/

_{4}=

^{ 15}/

_{4}. Another way of finding this is sometimes called the "C" method. 3

^{3}/

_{4}equals

^{4x3+3}/

_{4}=

^{15}/

_{4}.

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3. Answer: A
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Since the cookies are being divided up equally between the

*S*students. Use some numbers to help see the correct answer. If

*C*=40 and

*S*=10.

C÷S= 40÷10 = 4

The incorrect choices produce the following with these values:

CxS= 40 x 10 = 400

C-S= 40 - 10 = 30

SxC= 10 x 40 = 1/4

None of these seem reasonable.

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4. Answer: A
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The smallest amount that can be purchased using any 1 type of package is the least common multiple:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

10, 20, 30, 40, 50, 60

12, 24, 36, 48, 60

Or the definition of the least common multiple can be used: "The product of each distinct prime factor in the values to the highest power it occurs". Thus 2x2x3x5=60, because 4=2x2, 10=2x5, 12=2x2x3 .

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5. Answer: A
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The rectangular prism volume formula

*V = l x w x h*is used here.

210 = 7 x 5 x

*h*. Dividing both sides by 35 gives the answer h=6 inches.

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6. Answer: D
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A two digit number is prime if neither 2, 3, 5, nor 7 is a factor of that number. The other choices are composite:

34 = 2 x 17

57 = 3 x 19

91 = 7 x 13

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7. Answer: A
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The simplest way to compare the two pieces of pie is to find a common dominator for both fractions. The older daughter was given 2/5 of the pie, while the younger daughter was given 1/3 of the pie. The least common dominator for the two fractions is 15. Therefore, the older daughter received 6/15 of the pie and the younger daughter received 5/15 of the pie. 6/15 is larger than 5/15; therefore, the older daughter received a larger slice of the pie.

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8. Answer: D
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The other choices define -- A. Raising the wholesale price by $1.75. B. Multiplying the wholesale price by 0.25 and then adding $1.50. C. Multiplying the wholesale price by 1.75.

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9. Answer: B
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The solution is found by finding the whole number part of the quotient when dividing 417 by 18: 417x18=23 R 3 . Therefore 23 full boxes can be made and 3 pears would be left over.

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10. Answer: D
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This is multiplication with decimals. Multiply the 7 by 8 to get 56. Put down the 6 and carry the 5. Multiply 7 by 2 to get 14. Add the 5. Write 19 to left of 6. Multiply the 1 by the 8 to get 8. Multiply 1 by 2 to get 2. Add the two lines together, making sure that the 8 in the bottom figure is even with the 9. Get 476. Count 4 decimal points over (2 from the top multiplier and 2 from the second multiplier) and add a 0 before adding the decimal.

by Enoch Morrison

Last Updated: 12/14/2017