State Testing Practice - Part A (Grade 6)

Mr. Fraser asked his students to find the greatest common factor of 24 and 36. Four different answers were given. Which answer is correct?

• 2

• 3

• 6

• 12

Answer explanation

To find the greatest common factor (GCF) of 24 and 36, we list their factors: 24 (1, 2, 3, 4, 6, 8, 12, 24) and 36 (1, 2, 3, 4, 6, 9, 12, 18, 36). The largest common factor is 6, making it the correct answer.

Mia uses the distributive property to rewrite 4(3x + 4) as an equivalent expression of 12x + 16. Use the distributive property to write a different expression that is also equivalent to 12x + 16 and 4(3x + 4).

Answer explanation

To find an equivalent expression to 12x + 16, we can factor it as 4(3x + 4) or rewrite it as 3(4x + 4). The correct choice is 3(4x + 4), which also uses the distributive property.

Tags

CCSS.6.EE.A.3

Which situations can be described by a negative number? Mark all that apply.

• A. A farmer takes $100 out of his checking account to buy hay.

• E. Naomi dove 9 feet below the surface of the water to touch the bottom of the pool.

• C. Last night, the temperature was 0°F.

• F. Bianca owes her brother $13.

• B. Thomas plotted a point 3 units to the right of 0 on the number line.

Answer explanation

Negative numbers represent situations like debt or depth below a reference point. A. $100 out means a negative balance, E. 9 feet below water is negative depth, and F. owing $13 is a negative amount.

Tags

CCSS.6.NS.C.5

Stephanie is folding this net to make a roof for a doll house made of paper. What is this three-dimensional figure called?

• rectangular prism

• triangular prism

• rectangular pyramid

• triangular pyramid

Answer explanation

The three-dimensional figure formed by folding the net is a triangular pyramid, which has a triangular base and three triangular faces that meet at a point. This matches the description of the shape Stephanie is creating.

Tags

CCSS.6.G.A.4

Hannah found that an antivirus program on her personal computer scans 182 megabytes of data in 7 seconds. At what rate does her antivirus program scan the data?

• 25 megabytes per second

• 26 megabytes per second

• 28 megabytes per second

• 30 megabytes per second

Answer explanation

To find the scanning rate, divide the total data by the time: 182 MB ÷ 7 s = 26 MB/s. Therefore, the antivirus program scans at a rate of 26 megabytes per second.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Dave’s antivirus program scans 203 megabytes of data in the same amount of time. At what rate does his antivirus program scan the data?

• 27 megabytes per second

• 29 megabytes per second

• 31 megabytes per second

• 32 megabytes per second

Answer explanation

To find the scanning rate, divide the total data by the time taken. If 203 megabytes are scanned in 7 seconds, the rate is 203/7 = 29 megabytes per second, making the correct answer 29 megabytes per second.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Wellington poured some juice from this pitcher. The figure shows how much juice is left in the pitcher. The amount of juice shown is 2/3 of the amount originally in the pitcher. How much juice was originally in the pitcher? Show your work.

Answer explanation

If 2/3 of the juice is left, then 1/3 was poured out. Let x be the original amount. We have (2/3)x = amount left. To find x, we can set up the equation: x = (amount left) / (2/3) = (amount left) * (3/2). Since the amount left is not given, we cannot determine the original amount.

Suppose Wellington pours 1/8 gallon from the remaining juice into a glass. He pours the same amount into more glasses until the pitcher is empty. How many glasses of juice will Wellington pour? Show your work.

Answer explanation

Wellington pours 1/8 gallon into a glass. If he continues pouring the same amount until the pitcher is empty, he can only pour 0 glasses if there is no juice left to begin with. Thus, the correct answer is 0.

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

Suppose Wellington takes some sips of juice from one of the glasses. Each sip is 1/64 gallon, or 2 ounces. How many sips can he take before the glass is empty? Show your work.

Answer explanation

Wellington cannot take any sips if the glass is empty. Since the question states he takes sips from a glass, but does not specify any juice in it, the correct answer is 0 sips.

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

Suppose the pitcher had been filled to the 1 gallon mark when Wellington began pouring the juice into glasses. How many more glasses of juice could he have poured than the number he poured in Part B? Explain your reasoning.

Answer explanation

If the pitcher was filled to 1 gallon, and assuming each glass holds a standard amount, Wellington could pour more glasses than in Part B. The exact number depends on the glass size, but he could pour significantly more juice.

Tags

CCSS.5.MD.A.1