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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

Example Question #31 : Find Greatest Common Factor

Use the distributive property to express the sum 88+33 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

11(8+3)

11(4+3)

9(8+3)

11(8+6)

10(8+3)

Correct answer:

11(8+3)

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

88+33

In this case, the greatest common factor shared by each number is:

$\text{GCF}=11$

After we reduce each addend by the greatest common factor we can rewrite the expression:

11(8+3)

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Example Question #31 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Use the distributive property to express the sum 110+22 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

None of these

11(12+2)

11(10+2)

11(10+4)

11(20+2)

Correct answer:

11(10+2)

Explanation:

110+22

In this case, the greatest common factor shared by each number is:

$\text{GCF}=11$

After we reduce each addend by the greatest common factor we can rewrite the expression:

11(10+2)

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Example Question #2101 : Ssat Middle Level Quantitative (Math)

What is the solution to 2(x+2)+3(2x+5) ?

Possible Answers:

4x+10

8x+19

8x+7

6x+21x

3x+13

Correct answer:

8x+19

Explanation:

You must first distribute the constants to the parentheses. This would be 2*x and 2*2 for the first set. The second set would be 2x*3 and 5*3 . This gives you 2x+4+6x+15 . Then you must combine like terms which results in 8x+19 .

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Example Question #1441 : Numbers And Operations

Simplify:

8(t - 7) + 3(t + 5)

Possible Answers:

11 t - 41

5 t - 11

11 t - 71

5 t - 71

Correct answer:

11 t - 41

Explanation:

8(t - 7) + 3(t + 5)

$= 8 \cdot t - 8 \cdot 7 + 3 \cdot t + 3 \cdot 5$

= 8 t - 56 + 3 t + 1 5

= 8 t + 3 t - 56+ 1 5

= 11 t - 41

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Example Question #2101 : Ssat Middle Level Quantitative (Math)

Simplify:

- 6 (-3 t + 17) + 18t

Possible Answers:

36t+ 102

36t - 102

102

Correct answer:

36t - 102

Explanation:

- 6 (-3 t + 17) + 18t

= - 6 (-3 t) + (- 6) 17 + 18t

= 18 t + (- 102) + 18t

= 18 t + 18t + (- 102)

= 36t - 102

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Example Question #1 : How To Find The Square Root

Evaluate: $\sqrt{100} + \sqrt{49 } - \sqrt{36}$

Possible Answers:

Correct answer:

Explanation:

Find the individual square roots and perform the operations on them.

$\sqrt{100} = 10$

$\sqrt{49 } = 7$

$\sqrt{36} = 6$

$\sqrt{100} + \sqrt{49 } - \sqrt{36} = 10 + 7 - 6 = 17-6 = 11$

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Example Question #2101 : Ssat Middle Level Quantitative (Math)

The square root of a number is 43. What is that number?

Possible Answers:

1,849

1,789

1,729

1,869

1,809

Correct answer:

1,849

Explanation:

By definition, the square root of a number multiplied by itself yields that number. Therefore, 43 is the square root of $43 \cdot 43 = 1,849$ .

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Example Question #2102 : Ssat Middle Level Quantitative (Math)

The square root of a number is 58. What is that number?

Possible Answers:

3,424

3,364

3,524

3,264

3,024

Correct answer:

3,364

Explanation:

By definition, the square root of a number multiplied by itself yields that number. Therefore,

$58 \cdot 58 = 3,364$ .

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Example Question #2103 : Ssat Middle Level Quantitative (Math)

$\frac{\sqrt{64}-\sqrt{36}}{\sqrt{4}}=$

Possible Answers:

Correct answer:

Explanation:

First, find the square root of each number:

$\sqrt{64}=8$

$\sqrt{36}=6$

$\sqrt{4}=2$

Then, solve the equation accordingly.

$\frac{8-2}{2}=$

$\frac{2}{2}=1$

The answer is

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Example Question #2104 : Ssat Middle Level Quantitative (Math)

Evaluate: $\sqrt{121}$

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since $11 \cdot 11 = 121$ , $\sqrt{121} = 11$ .

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #31 : Find Greatest Common Factor

Example Question #31 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Example Question #2101 : Ssat Middle Level Quantitative (Math)

Example Question #1441 : Numbers And Operations

Example Question #2101 : Ssat Middle Level Quantitative (Math)

Example Question #1 : How To Find The Square Root

Example Question #2101 : Ssat Middle Level Quantitative (Math)

Example Question #2102 : Ssat Middle Level Quantitative (Math)

Example Question #2103 : Ssat Middle Level Quantitative (Math)

Example Question #2104 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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