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SSAT Middle Level Math : Sets

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #583 : Ssat Middle Level Quantitative (Math)

What is the value of y in the pattern below?

$\frac{2}{3}, \frac{4}{6}, \frac{6}{9}, \frac{y}{12}$

Possible Answers:

Correct answer:

Explanation:

What that the fractions in this pattern have in common is that they are all the equivalent of $\frac{2}{3}$ .

The value of y should be a number that is the equivalent of $\frac{2}{3}$ when divided by 12.

Given that $\frac{1}{3}$ of 12 is 4, $\frac{2}{3}$ of 12 would be equal to 8, the correct answer.

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Example Question #171 : Data Analysis And Probability

What is the value of in the sequence below?

108, 36, 12, 4, x

Possible Answers:

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{4}{3}$

Correct answer:

$\frac{4}{3}$

Explanation:

In this sequence, every subsequent number is equal to one third of the preceding number:

108, 36, 12, 3, x

$108\div3=36$

$36\div3=12$

$12\div3=4$

Given that $4\div3 =\frac{4}{3}$ , that is the correct answer.

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Example Question #171 : Data Analysis And Probability

Find the next number that should appear in the set below:

$\frac{1}{2}, \frac{1}{4},\frac{1}{8}, \frac{1}{16}$

Possible Answers:

$\frac{1}{24}$

$\frac{1}{18}$

$\frac{1}{40}$

$\frac{1}{32}$

Correct answer:

$\frac{1}{32}$

Explanation:

In this set, each subsequent fraction is half the size of the preceding fraction; (the denominator is doubled for each successive fraction, but the numerator stays the same). Given that the last fraction in the set is $\frac{1}{16}$ , it follows that the subsequent fraction will be $\frac{1}{32}$ .

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Example Question #1 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=3x+6

Screen shot 2015 07 27 at 8.14.00 am

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for x=4 . We can plug into the in our equation to solve for .

y=3(4)+6

y=12+6

y=18

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Example Question #2 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=4x+2

Screen shot 2015 07 27 at 8.25.13 am

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for x=5 . We can plug into the in our equation to solve for .

y=4(5)+2

y=20+2

y=22

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Example Question #3 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=5x+7

Screen shot 2015 07 27 at 8.30.35 am

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for x=6 . We can plug into the in our equation to solve for .

y=5(6)+7

y=30+7

y=37

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Example Question #4 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=6x+11

Screen shot 2015 07 27 at 8.34.12 am

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for x=13 . We can plug into the in our equation to solve for .

y=6(13)+11

y=78+11

y=89

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Example Question #5 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=8x+12

Screen shot 2015 07 27 at 8.42.18 am

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for x=5 . We can plug into the in our equation to solve for .

y=8(5)+12

y=40+12

y=52

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Example Question #6 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=9x+10

Screen shot 2015 07 27 at 8.48.14 am

Possible Answers:

Correct answer:

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding x=5 value for . We can plug into the in our equation to solve for .

y=9(5)+10

y=45+10

y=55

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Example Question #7 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation y=10x+4

Screen shot 2015 07 27 at 8.52.55 am

Possible Answers:

174

184

164

162

172

Correct answer:

164

Explanation:

In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for x=16 . We can plug into the in our equation to solve for .

y=10(16)+4

y=160+4

y=164

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SSAT Middle Level Math : Sets

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #583 : Ssat Middle Level Quantitative (Math)

Example Question #171 : Data Analysis And Probability

Example Question #171 : Data Analysis And Probability

Example Question #1 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Example Question #2 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Example Question #3 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Example Question #4 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Example Question #5 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Example Question #6 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Example Question #7 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

All SSAT Middle Level Math Resources

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