SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #1743 : Common Core Math: Grade 5

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.39.34 pm

Possible Answers:

\displaystyle \small 5cm^3

\displaystyle \small 3cm^3

\displaystyle \small 6cm^3

\displaystyle \small 7cm^3

\displaystyle \small 8cm^3

Correct answer:

\displaystyle \small 6cm^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=3\times1\times2

\displaystyle \small v=6cm^3

Remember, volume is always labeled as units to the third power. 

Example Question #1 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.47.24 pm

Possible Answers:

\displaystyle \small 10cm^3

\displaystyle \small 36cm^3

\displaystyle \small 29cm^3

\displaystyle \small 26m^3

\displaystyle \small 15cam^3

Correct answer:

\displaystyle \small 36cm^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=6\times3\times2

\displaystyle \small v=36cm^3

Remember, volume is always labeled as units to the third power. 

Example Question #2 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.56.22 pm

Possible Answers:

\displaystyle \small 6cm^3

\displaystyle \small 12cm^3

\displaystyle \small 14cm^3

\displaystyle \small 42cm^3

\displaystyle \small 21cm^3

Correct answer:

\displaystyle \small 42cm^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=2\times3\times7

\displaystyle \small v=42cm^3

Remember, volume is always labeled as units to the third power. 

Example Question #901 : Ssat Upper Level Quantitative (Math)

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.53.08 pm

Possible Answers:

\displaystyle \small 48cm^2

\displaystyle \small 192cm^3

\displaystyle \small 186cm^3

\displaystyle \small 32cm^3

\displaystyle \small 52cm^3

Correct answer:

\displaystyle \small 192cm^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=8\times4\times6

\displaystyle \small v=192cm^3

Remember, volume is always labeled as units to the third power. 

Example Question #3 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.50.28 pm

Possible Answers:

\displaystyle \small 36cm^3

\displaystyle \small 180cm^3

\displaystyle \small 18cm^3

\displaystyle \small 110cm^3

\displaystyle \small 108cm^3

Correct answer:

\displaystyle \small 108cm^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=6\times3\times6

\displaystyle \small v=108cm^3

Remember, volume is always labeled as units to the third power. 

Example Question #4 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

 Screen shot 2015 07 28 at 4.00.30 pm

Possible Answers:

\displaystyle \small 96cm^3

\displaystyle \small 21cm^3

\displaystyle \small 12cm^3

\displaystyle \small 28cm^3

\displaystyle \small 84cm^3

Correct answer:

\displaystyle \small 84cm^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=3\times4\times7

\displaystyle \small v=84cm^3

Remember, volume is always labeled as units to the third power. 

Example Question #3 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 4.04.49 pm

Possible Answers:

\displaystyle \small 99in^3

\displaystyle \small 990in^3

\displaystyle \small 110in^3

\displaystyle \small 900in^3

\displaystyle \small 90in^3

Correct answer:

\displaystyle \small 990in^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=10\times9\times11

\displaystyle \small v=990in^3

Remember, volume is always labeled as units to the third power. 

Example Question #4 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 4.12.30 pm

Possible Answers:

\displaystyle \small \small 975in^3

\displaystyle \small 65in^3

\displaystyle \small 195in^3

\displaystyle \small 75in^3

\displaystyle \small \small 995in^3

Correct answer:

\displaystyle \small \small 975in^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=13\times5\times15

\displaystyle \small v=975in^3

Remember, volume is always labeled as units to the third power. 

Example Question #5 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 4.16.00 pm

Possible Answers:

\displaystyle \small 156in^3

\displaystyle \small 1,992in^3

\displaystyle \small 91in^3

\displaystyle \small 1,193in^3

\displaystyle \small 1,092in^3

Correct answer:

\displaystyle \small 1,092in^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=13\times7\times12

\displaystyle \small v=1,092in^3

Remember, volume is always labeled as units to the third power. 

Example Question #6 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below? 

Screen shot 2015 07 28 at 4.19.28 pm

Possible Answers:

\displaystyle \small 90in^3

\displaystyle \small 560in^3

\displaystyle \small 540in^3

\displaystyle \small 108in^3

\displaystyle \small 520in^3

Correct answer:

\displaystyle \small 540in^3

Explanation:

The formula for volume of a rectangular prism is \displaystyle \small v=l\times w\times h

\displaystyle \small v=5\times6\times18

\displaystyle \small v=540in^3

Remember, volume is always labeled as units to the third power. 

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